{"id":1,"expression_no_base_symbol":"($5126$⨵⪆$1256$)+⇶⊼($2670$+⇶⊼$6185$)","expression":"(⪎⋱⫍2444⨵⪆⪎⋱⫍758)+⇶⊼(⪎⋱⫍12A5+⇶⊼⪎⋱⫍2A7A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5126,"base":13},"right_expr":{"type":"numeric_atoms","value":1256,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2670,"base":13},"right_expr":{"type":"numeric_atoms","value":6185,"base":13}}},"used_operators":["TpPTUOHfaN","2DQ55sFlQl"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5126","layer":2},{"info":"number node, value=1256","layer":2},{"info":"compute binary expreesion, left_input=5126, right_input=1256, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2670","layer":2},{"info":"number node, value=6185","layer":2},{"info":"compute binary expreesion, left_input=2670, right_input=6185, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍2444⨵⪆⪎⋱⫍758)+⇶⊼(⪎⋱⫍12A5+⇶⊼⪎⋱⫍2A7A)=NaN","reverse_text":"NaN=(⪎⋱⫍2444⨵⪆⪎⋱⫍758)+⇶⊼(⪎⋱⫍12A5+⇶⊼⪎⋱⫍2A7A)","cot":[{"info":"⪎⋱⫍2444⨵⪆⪎⋱⫍758=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍12A5+⇶⊼⪎⋱⫍2A7A=NaN","layer":1},{"info":"⪎⋱⫍C4+⇶⊼NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"($2462$⨟⋌⩍$1939$)∧","expression":"(⪎⋱⫍1175⨟⋌⩍⪎⋱⫍B62)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2462,"base":13},"right_expr":{"type":"numeric_atoms","value":1939,"base":13}}},"used_operators":["z63VuFQld9","rGHVDoGpnC"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2462","layer":2},{"info":"number node, value=1939","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=1939, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1175⨟⋌⩍⪎⋱⫍B62)∧=NaN","reverse_text":"NaN=(⪎⋱⫍1175⨟⋌⩍⪎⋱⫍B62)∧","cot":[{"info":"⪎⋱⫍1175⨟⋌⩍⪎⋱⫍B62=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"(⨞⊢$5339$)⨵⪆($2428$≦≮≮)","expression":"(⨞⊢⪎⋱⫍2579)⨵⪆(⪎⋱⫍114A≦≮≮)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5339,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2428,"base":13}}},"used_operators":["2DQ55sFlQl","xUOZtlo3hN","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5339","layer":2},{"info":"compute unary expreesion, input=5339, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5513","layer":1},{"info":"number node, value=2428","layer":2},{"info":"compute unary expreesion, input=2428, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7284","layer":1},{"info":"compute binary expreesion, left_input=-5513, right_input=-7284, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍2579)⨵⪆(⪎⋱⫍114A≦≮≮)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⨞⊢⪎⋱⫍2579)⨵⪆(⪎⋱⫍114A≦≮≮)","cot":[{"info":"⨞⊢⪎⋱⫍2579=⪎⋱⫍-2681","layer":1},{"info":"⪎⋱⫍114A≦≮≮=⪎⋱⫍-3414","layer":1},{"info":"⪎⋱⫍-2681⨵⪆⪎⋱⫍-3414=⪎⋱⫍C4","layer":0}]}
{"id":4,"expression_no_base_symbol":"($1133$+⇶⊼$1709$)⪛($2986$⪄$1211$)","expression":"(⪎⋱⫍692+⇶⊼⪎⋱⫍A16)⪛(⪎⋱⫍1489⪄⪎⋱⫍722)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":1709,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2986,"base":13},"right_expr":{"type":"numeric_atoms","value":1211,"base":13}}},"used_operators":["uFcxV4UQCh","TpPTUOHfaN","SUmda5xLS4"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":2},{"info":"number node, value=1709","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=1709, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2986","layer":2},{"info":"number node, value=1211","layer":2},{"info":"compute binary expreesion, left_input=2986, right_input=1211, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-442861","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-442861, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍692+⇶⊼⪎⋱⫍A16)⪛(⪎⋱⫍1489⪄⪎⋱⫍722)=NaN","reverse_text":"NaN=(⪎⋱⫍692+⇶⊼⪎⋱⫍A16)⪛(⪎⋱⫍1489⪄⪎⋱⫍722)","cot":[{"info":"⪎⋱⫍692+⇶⊼⪎⋱⫍A16=NaN","layer":1},{"info":"⪎⋱⫍1489⪄⪎⋱⫍722=⪎⋱⫍-126763","layer":1},{"info":"NaN⪛⪎⋱⫍-126763=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"($2582$⫡⨏$3939$)⊴($6151$≎⊠⪸$3330$)","expression":"(⪎⋱⫍1238⫡⨏⪎⋱⫍1A40)⊴(⪎⋱⫍2A52≎⊠⪸⪎⋱⫍1692)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":284,"operation_count":3,"complexity_ratio":94.66666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2582,"base":13},"right_expr":{"type":"numeric_atoms","value":3939,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6151,"base":13},"right_expr":{"type":"numeric_atoms","value":3330,"base":13}}},"used_operators":["Nsiff2A1zJ","QMFrweE19q","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2582","layer":2},{"info":"number node, value=3939","layer":2},{"info":"compute binary expreesion, left_input=2582, right_input=3939, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21571","layer":1},{"info":"number node, value=6151","layer":2},{"info":"number node, value=3330","layer":2},{"info":"compute binary expreesion, left_input=6151, right_input=3330, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1592636","layer":1},{"info":"compute binary expreesion, left_input=21571, right_input=1592636, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1238⫡⨏⪎⋱⫍1A40)⊴(⪎⋱⫍2A52≎⊠⪸⪎⋱⫍1692)=NaN","reverse_text":"NaN=(⪎⋱⫍1238⫡⨏⪎⋱⫍1A40)⊴(⪎⋱⫍2A52≎⊠⪸⪎⋱⫍1692)","cot":[{"info":"⪎⋱⫍1238⫡⨏⪎⋱⫍1A40=⪎⋱⫍9A84","layer":1},{"info":"⪎⋱⫍2A52≎⊠⪸⪎⋱⫍1692=⪎⋱⫍439BB6","layer":1},{"info":"⪎⋱⫍9A84⊴⪎⋱⫍439BB6=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"($1106$⊭↱$4228$)⨁⊸⫻","expression":"(⪎⋱⫍671⊭↱⪎⋱⫍1C03)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":4228,"base":13}}},"used_operators":["glklzrTFfD","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2AC9","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1106","layer":2},{"info":"number node, value=4228","layer":2},{"info":"compute binary expreesion, left_input=1106, right_input=4228, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6249","layer":1},{"info":"compute unary expreesion, input=6249, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6249","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍671⊭↱⪎⋱⫍1C03)⨁⊸⫻=⪎⋱⫍2AC9","reverse_text":"⪎⋱⫍2AC9=(⪎⋱⫍671⊭↱⪎⋱⫍1C03)⨁⊸⫻","cot":[{"info":"⪎⋱⫍671⊭↱⪎⋱⫍1C03=⪎⋱⫍2AC9","layer":1},{"info":"⪎⋱⫍2AC9⨁⊸⫻=⪎⋱⫍2AC9","layer":0}]}
{"id":7,"expression_no_base_symbol":"($4061$⫸⊐$4291$)⪛$3548$⊴$2818$","expression":"(⪎⋱⫍1B05⫸⊐⪎⋱⫍1C51)⪛⪎⋱⫍17CC⊴⪎⋱⫍138A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4681,"operation_count":3,"complexity_ratio":1560.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4061,"base":13},"right_expr":{"type":"numeric_atoms","value":4291,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3548,"base":13},"right_expr":{"type":"numeric_atoms","value":2818,"base":13}}},"used_operators":["uFcxV4UQCh","mqXw5SEYmG","Nsiff2A1zJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4061","layer":2},{"info":"number node, value=4291","layer":2},{"info":"compute binary expreesion, left_input=4061, right_input=4291, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17039","layer":1},{"info":"number node, value=3548","layer":2},{"info":"number node, value=2818","layer":2},{"info":"compute binary expreesion, left_input=3548, right_input=2818, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17039, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1B05⫸⊐⪎⋱⫍1C51)⪛⪎⋱⫍17CC⊴⪎⋱⫍138A=NaN","reverse_text":"NaN=(⪎⋱⫍1B05⫸⊐⪎⋱⫍1C51)⪛⪎⋱⫍17CC⊴⪎⋱⫍138A","cot":[{"info":"⪎⋱⫍1B05⫸⊐⪎⋱⫍1C51=⪎⋱⫍79A9","layer":1},{"info":"⪎⋱⫍17CC⊴⪎⋱⫍138A=NaN","layer":1},{"info":"⪎⋱⫍79A9⪛NaN=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"$6162$≧⫂∧$6034$⫥∨⫟($1432$-$6458$)","expression":"⪎⋱⫍2A60≧⫂∧⪎⋱⫍2992⫥∨⫟(⪎⋱⫍862-⪎⋱⫍2C2A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6162,"base":13},"right_expr":{"type":"numeric_atoms","value":6034,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1432,"base":13},"right_expr":{"type":"numeric_atoms","value":6458,"base":13}}},"used_operators":["KYD54nUTWz","Ph9nP6C5qx","rysDP5nf3Z"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6162","layer":2},{"info":"number node, value=6034","layer":2},{"info":"compute binary expreesion, left_input=6162, right_input=6034, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5561","layer":1},{"info":"number node, value=1432","layer":2},{"info":"number node, value=6458","layer":2},{"info":"compute binary expreesion, left_input=1432, right_input=6458, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5026","layer":1},{"info":"compute binary expreesion, left_input=5561, right_input=-5026, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2A60≧⫂∧⪎⋱⫍2992⫥∨⫟(⪎⋱⫍862-⪎⋱⫍2C2A)=NaN","reverse_text":"NaN=⪎⋱⫍2A60≧⫂∧⪎⋱⫍2992⫥∨⫟(⪎⋱⫍862-⪎⋱⫍2C2A)","cot":[{"info":"⪎⋱⫍2A60≧⫂∧⪎⋱⫍2992=⪎⋱⫍26BA","layer":1},{"info":"⪎⋱⫍862-⪎⋱⫍2C2A=⪎⋱⫍-2398","layer":1},{"info":"⪎⋱⫍26BA⫥∨⫟⪎⋱⫍-2398=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(∂$4860$)+⇶⊼($3129$≣⋋)","expression":"(∂⪎⋱⫍229B)+⇶⊼(⪎⋱⫍1569≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":516,"operation_count":3,"complexity_ratio":172.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4860,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3129,"base":13}}},"used_operators":["TpPTUOHfaN","Uaa54Peajs","Tcnh7f0tEr"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4860","layer":2},{"info":"compute unary expreesion, input=4860, 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=3129","layer":2},{"info":"compute unary expreesion, input=3129, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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":13,"result_base":13,"text":"(∂⪎⋱⫍229B)+⇶⊼(⪎⋱⫍1569≣⋋)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(∂⪎⋱⫍229B)+⇶⊼(⪎⋱⫍1569≣⋋)","cot":[{"info":"∂⪎⋱⫍229B=NaN","layer":1},{"info":"⪎⋱⫍1569≣⋋=⪎⋱⫍0","layer":1},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":10,"expression_no_base_symbol":"$3346$⫥∨⫟$2753$*($3390$⪨≂$1956$)","expression":"⪎⋱⫍16A5⫥∨⫟⪎⋱⫍133A*(⪎⋱⫍170A⪨≂⪎⋱⫍B76)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":160,"operation_count":3,"complexity_ratio":53.333333333333336,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3346,"base":13},"right_expr":{"type":"numeric_atoms","value":2753,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3390,"base":13},"right_expr":{"type":"numeric_atoms","value":1956,"base":13}}},"used_operators":["9HNa5Wba9A","KYD54nUTWz","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3346","layer":2},{"info":"number node, value=2753","layer":2},{"info":"compute binary expreesion, left_input=3346, right_input=2753, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3390","layer":2},{"info":"number node, value=1956","layer":2},{"info":"compute binary expreesion, left_input=3390, right_input=1956, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2970","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2970, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍16A5⫥∨⫟⪎⋱⫍133A*(⪎⋱⫍170A⪨≂⪎⋱⫍B76)=NaN","reverse_text":"NaN=⪎⋱⫍16A5⫥∨⫟⪎⋱⫍133A*(⪎⋱⫍170A⪨≂⪎⋱⫍B76)","cot":[{"info":"⪎⋱⫍16A5⫥∨⫟⪎⋱⫍133A=NaN","layer":1},{"info":"⪎⋱⫍170A⪨≂⪎⋱⫍B76=⪎⋱⫍1476","layer":1},{"info":"NaN*⪎⋱⫍1476=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"⇁⨣⪵$2807$⨟⋌⩍$2747$","expression":"⇁⨣⪵⪎⋱⫍137C⨟⋌⩍⪎⋱⫍1334","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2807,"base":13},"right_expr":{"type":"numeric_atoms","value":2747,"base":13}}},"used_operators":["inkyxCbjAn","rGHVDoGpnC"],"dependent_operators":["B5M0gjZbta","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2807","layer":2},{"info":"number node, value=2747","layer":2},{"info":"compute binary expreesion, left_input=2807, right_input=2747, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵⪎⋱⫍137C⨟⋌⩍⪎⋱⫍1334=NaN","reverse_text":"NaN=⇁⨣⪵⪎⋱⫍137C⨟⋌⩍⪎⋱⫍1334","cot":[{"info":"⪎⋱⫍137C⨟⋌⩍⪎⋱⫍1334=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"(⪝⪂⫅$5597$)∧","expression":"(⪝⪂⫅⪎⋱⫍2717)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":2,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5597,"base":13}}},"used_operators":["z63VuFQld9","XTarYq4gQB"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5597","layer":2},{"info":"compute unary expreesion, input=5597, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-822759","layer":1},{"info":"compute unary expreesion, input=-822759, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍2717)∧=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪝⪂⫅⪎⋱⫍2717)∧","cot":[{"info":"⪝⪂⫅⪎⋱⫍2717=⪎⋱⫍-22A652","layer":1},{"info":"⪎⋱⫍-22A652∧=⪎⋱⫍0","layer":0}]}
{"id":13,"expression_no_base_symbol":"$5233$↬$4407$↙$1695$≎⊠⪸$7485$","expression":"⪎⋱⫍24C7↬⪎⋱⫍2010↙⪎⋱⫍A05≎⊠⪸⪎⋱⫍353A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5233,"base":13},"right_expr":{"type":"numeric_atoms","value":4407,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1695,"base":13},"right_expr":{"type":"numeric_atoms","value":7485,"base":13}}},"used_operators":["yyfyN0ffXY","B5M0gjZbta","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5233","layer":2},{"info":"number node, value=4407","layer":2},{"info":"compute binary expreesion, left_input=5233, right_input=4407, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1695","layer":2},{"info":"number node, value=7485","layer":2},{"info":"compute binary expreesion, left_input=1695, right_input=7485, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=438532","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=438532, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍24C7↬⪎⋱⫍2010↙⪎⋱⫍A05≎⊠⪸⪎⋱⫍353A=NaN","reverse_text":"NaN=⪎⋱⫍24C7↬⪎⋱⫍2010↙⪎⋱⫍A05≎⊠⪸⪎⋱⫍353A","cot":[{"info":"⪎⋱⫍24C7↬⪎⋱⫍2010=NaN","layer":1},{"info":"⪎⋱⫍A05≎⊠⪸⪎⋱⫍353A=⪎⋱⫍1247B3","layer":1},{"info":"NaN↙⪎⋱⫍1247B3=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"⊥(↯⪼$6833$)","expression":"⊥(↯⪼⪎⋱⫍3158)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":598,"operation_count":2,"complexity_ratio":299.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6833,"base":13}}},"used_operators":["Q3PJZHRvZv","8jW3W4yZS5"],"dependent_operators":["fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍1B","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6833","layer":2},{"info":"compute unary expreesion, input=6833, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":0}],"base":13,"result_base":13,"text":"⊥(↯⪼⪎⋱⫍3158)=⪎⋱⫍1B","reverse_text":"⪎⋱⫍1B=⊥(↯⪼⪎⋱⫍3158)","cot":[{"info":"↯⪼⪎⋱⫍3158=⪎⋱⫍-18","layer":1},{"info":"⊥⪎⋱⫍-18=⪎⋱⫍1B","layer":0}]}
{"id":15,"expression_no_base_symbol":"$1914$∲⫓$4004$⨵⪆$1044$⨰$8286$","expression":"⪎⋱⫍B43∲⫓⪎⋱⫍1A90⨵⪆⪎⋱⫍624⨰⪎⋱⫍3A05","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1914,"base":13},"right_expr":{"type":"numeric_atoms","value":4004,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1044,"base":13},"right_expr":{"type":"numeric_atoms","value":8286,"base":13}}},"used_operators":["2DQ55sFlQl","i8ToyICDmI","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1914","layer":2},{"info":"number node, value=4004","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=4004, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1044","layer":2},{"info":"number node, value=8286","layer":2},{"info":"compute binary expreesion, left_input=1044, right_input=8286, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7232","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7232, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍B43∲⫓⪎⋱⫍1A90⨵⪆⪎⋱⫍624⨰⪎⋱⫍3A05=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍B43∲⫓⪎⋱⫍1A90⨵⪆⪎⋱⫍624⨰⪎⋱⫍3A05","cot":[{"info":"⪎⋱⫍B43∲⫓⪎⋱⫍1A90=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍624⨰⪎⋱⫍3A05=⪎⋱⫍-33A4","layer":1},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍-33A4=⪎⋱⫍C4","layer":0}]}
{"id":16,"expression_no_base_symbol":"($2060$+$2732$)∸","expression":"(⪎⋱⫍C26+⪎⋱⫍1322)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2060,"base":13},"right_expr":{"type":"numeric_atoms","value":2732,"base":13}}},"used_operators":["o20kRiQErp","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2060","layer":2},{"info":"number node, value=2732","layer":2},{"info":"compute binary expreesion, left_input=2060, right_input=2732, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4792","layer":1},{"info":"compute unary expreesion, input=4792, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C26+⪎⋱⫍1322)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍C26+⪎⋱⫍1322)∸","cot":[{"info":"⪎⋱⫍C26+⪎⋱⫍1322=⪎⋱⫍2248","layer":1},{"info":"⪎⋱⫍2248∸=⪎⋱⫍108","layer":0}]}
{"id":17,"expression_no_base_symbol":"≉(≤/$1120$)","expression":"≉(≤/⪎⋱⫍682)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1120,"base":13}}},"used_operators":["e1ybzncUwg","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-39C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":2},{"info":"compute unary expreesion, input=1120, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-636","layer":1},{"info":"compute unary expreesion, input=-636, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-636","layer":0}],"base":13,"result_base":13,"text":"≉(≤/⪎⋱⫍682)=⪎⋱⫍-39C","reverse_text":"⪎⋱⫍-39C=≉(≤/⪎⋱⫍682)","cot":[{"info":"≤/⪎⋱⫍682=⪎⋱⫍-39C","layer":1},{"info":"≉⪎⋱⫍-39C=⪎⋱⫍-39C","layer":0}]}
{"id":18,"expression_no_base_symbol":"-$2850$⪘⫢$1836$","expression":"-⪎⋱⫍13B3⪘⫢⪎⋱⫍AB3","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2850,"base":13},"right_expr":{"type":"numeric_atoms","value":1836,"base":13}}},"used_operators":["t8gj7n24qd","oacrs7FA3X"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍-26CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2850","layer":2},{"info":"number node, value=1836","layer":2},{"info":"compute binary expreesion, left_input=2850, right_input=1836, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5576","layer":1},{"info":"compute unary expreesion, input=5576, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5576","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍13B3⪘⫢⪎⋱⫍AB3=⪎⋱⫍-26CC","reverse_text":"⪎⋱⫍-26CC=-⪎⋱⫍13B3⪘⫢⪎⋱⫍AB3","cot":[{"info":"⪎⋱⫍13B3⪘⫢⪎⋱⫍AB3=⪎⋱⫍26CC","layer":1},{"info":"-⪎⋱⫍26CC=⪎⋱⫍-26CC","layer":0}]}
{"id":19,"expression_no_base_symbol":"∂(⋗⩬⋾$3321$)","expression":"∂(⋗⩬⋾⪎⋱⫍1686)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":420,"operation_count":2,"complexity_ratio":210.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3321,"base":13}}},"used_operators":["Uaa54Peajs","DpFCA1CohY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍4551","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3321","layer":2},{"info":"compute unary expreesion, input=3321, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9963","layer":1},{"info":"compute unary expreesion, input=-9963, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=9699","layer":0}],"base":13,"result_base":13,"text":"∂(⋗⩬⋾⪎⋱⫍1686)=⪎⋱⫍4551","reverse_text":"⪎⋱⫍4551=∂(⋗⩬⋾⪎⋱⫍1686)","cot":[{"info":"⋗⩬⋾⪎⋱⫍1686=⪎⋱⫍-46C5","layer":1},{"info":"∂⪎⋱⫍-46C5=⪎⋱⫍4551","layer":0}]}
{"id":20,"expression_no_base_symbol":"($1783$-$4549$)⫸⊐(↯⪼$1749$)","expression":"(⪎⋱⫍A72-⪎⋱⫍20BC)⫸⊐(↯⪼⪎⋱⫍A47)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1783,"base":13},"right_expr":{"type":"numeric_atoms","value":4549,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1749,"base":13}}},"used_operators":["mqXw5SEYmG","rysDP5nf3Z","8jW3W4yZS5"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍596","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":2},{"info":"number node, value=4549","layer":2},{"info":"compute binary expreesion, left_input=1783, right_input=4549, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2766","layer":1},{"info":"number node, value=1749","layer":2},{"info":"compute unary expreesion, input=1749, 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=-2766, right_input=-21, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A72-⪎⋱⫍20BC)⫸⊐(↯⪼⪎⋱⫍A47)=⪎⋱⫍596","reverse_text":"⪎⋱⫍596=(⪎⋱⫍A72-⪎⋱⫍20BC)⫸⊐(↯⪼⪎⋱⫍A47)","cot":[{"info":"⪎⋱⫍A72-⪎⋱⫍20BC=⪎⋱⫍-134A","layer":1},{"info":"↯⪼⪎⋱⫍A47=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍-134A⫸⊐⪎⋱⫍-18=⪎⋱⫍596","layer":0}]}
{"id":21,"expression_no_base_symbol":"$2545$⋓$2227$⫡⨏(↣≠⋷$4784$)","expression":"⪎⋱⫍120A⋓⪎⋱⫍1024⫡⨏(↣≠⋷⪎⋱⫍2240)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2545,"base":13},"right_expr":{"type":"numeric_atoms","value":2227,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4784,"base":13}}},"used_operators":["QMFrweE19q","T2fj7uvVaJ","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2545","layer":2},{"info":"number node, value=2227","layer":2},{"info":"compute binary expreesion, left_input=2545, right_input=2227, op_id = T2fj7uvVaJ binary_op_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=4784","layer":2},{"info":"compute unary expreesion, input=4784, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"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":0}],"base":13,"result_base":13,"text":"⪎⋱⫍120A⋓⪎⋱⫍1024⫡⨏(↣≠⋷⪎⋱⫍2240)=NaN","reverse_text":"NaN=⪎⋱⫍120A⋓⪎⋱⫍1024⫡⨏(↣≠⋷⪎⋱⫍2240)","cot":[{"info":"⪎⋱⫍120A⋓⪎⋱⫍1024=⪎⋱⫍0","layer":1},{"info":"↣≠⋷⪎⋱⫍2240=NaN","layer":1},{"info":"⪎⋱⫍0⫡⨏NaN=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"(↯⪼$5339$)≧⫂∧(∂$1275$)","expression":"(↯⪼⪎⋱⫍2579)≧⫂∧(∂⪎⋱⫍771)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5339,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1275,"base":13}}},"used_operators":["Ph9nP6C5qx","8jW3W4yZS5","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5339","layer":2},{"info":"compute unary expreesion, input=5339, 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=1275","layer":2},{"info":"compute unary expreesion, input=1275, 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=-21, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍2579)≧⫂∧(∂⪎⋱⫍771)=NaN","reverse_text":"NaN=(↯⪼⪎⋱⫍2579)≧⫂∧(∂⪎⋱⫍771)","cot":[{"info":"↯⪼⪎⋱⫍2579=⪎⋱⫍-18","layer":1},{"info":"∂⪎⋱⫍771=NaN","layer":1},{"info":"⪎⋱⫍-18≧⫂∧NaN=NaN","layer":0}]}
{"id":23,"expression_no_base_symbol":"($2315$⩨$1253$)⋥≓≎($6081$-$1074$)","expression":"(⪎⋱⫍1091⩨⪎⋱⫍755)⋥≓≎(⪎⋱⫍29CA-⪎⋱⫍648)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2315,"base":13},"right_expr":{"type":"numeric_atoms","value":1253,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6081,"base":13},"right_expr":{"type":"numeric_atoms","value":1074,"base":13}}},"used_operators":["Qy55tPpLXF","2DlMacCsIx","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍475B","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2315","layer":2},{"info":"number node, value=1253","layer":2},{"info":"compute binary expreesion, left_input=2315, right_input=1253, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=6081","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=6081, right_input=1074, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5007","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5007, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10047","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1091⩨⪎⋱⫍755)⋥≓≎(⪎⋱⫍29CA-⪎⋱⫍648)=⪎⋱⫍475B","reverse_text":"⪎⋱⫍475B=(⪎⋱⫍1091⩨⪎⋱⫍755)⋥≓≎(⪎⋱⫍29CA-⪎⋱⫍648)","cot":[{"info":"⪎⋱⫍1091⩨⪎⋱⫍755=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍29CA-⪎⋱⫍648=⪎⋱⫍2382","layer":1},{"info":"⪎⋱⫍0⋥≓≎⪎⋱⫍2382=⪎⋱⫍475B","layer":0}]}
{"id":24,"expression_no_base_symbol":"($8076$⊭∹↮)⪒(⊥$8227$)","expression":"(⪎⋱⫍38A3⊭∹↮)⪒(⊥⪎⋱⫍398B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8076,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":8227,"base":13}}},"used_operators":["f6k1SAg4EE","xNBdhnnwKq","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8076","layer":2},{"info":"compute unary expreesion, input=8076, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=16152","layer":1},{"info":"number node, value=8227","layer":2},{"info":"compute unary expreesion, input=8227, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=16152, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍38A3⊭∹↮)⪒(⊥⪎⋱⫍398B)=NaN","reverse_text":"NaN=(⪎⋱⫍38A3⊭∹↮)⪒(⊥⪎⋱⫍398B)","cot":[{"info":"⪎⋱⫍38A3⊭∹↮=⪎⋱⫍7476","layer":1},{"info":"⊥⪎⋱⫍398B=NaN","layer":1},{"info":"⪎⋱⫍7476⪒NaN=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"($3213$⋳⪒$3556$)∼($2075$*$2517$)","expression":"(⪎⋱⫍1602⋳⪒⪎⋱⫍1807)∼(⪎⋱⫍C38*⪎⋱⫍11B8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2134,"operation_count":3,"complexity_ratio":711.3333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3213,"base":13},"right_expr":{"type":"numeric_atoms","value":3556,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2075,"base":13},"right_expr":{"type":"numeric_atoms","value":2517,"base":13}}},"used_operators":["DyGG3AbaNP","12rbrZMWeM","9HNa5Wba9A"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3213","layer":2},{"info":"number node, value=3556","layer":2},{"info":"compute binary expreesion, left_input=3213, right_input=3556, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2583","layer":1},{"info":"number node, value=2075","layer":2},{"info":"number node, value=2517","layer":2},{"info":"compute binary expreesion, left_input=2075, right_input=2517, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5222775","layer":1},{"info":"compute binary expreesion, left_input=2583, right_input=5222775, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1602⋳⪒⪎⋱⫍1807)∼(⪎⋱⫍C38*⪎⋱⫍11B8)=NaN","reverse_text":"NaN=(⪎⋱⫍1602⋳⪒⪎⋱⫍1807)∼(⪎⋱⫍C38*⪎⋱⫍11B8)","cot":[{"info":"⪎⋱⫍1602⋳⪒⪎⋱⫍1807=⪎⋱⫍1239","layer":1},{"info":"⪎⋱⫍C38*⪎⋱⫍11B8=⪎⋱⫍110B2CC","layer":1},{"info":"⪎⋱⫍1239∼⪎⋱⫍110B2CC=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"(⪝⪂⫅$8280$)∲⫓($1314$⫩⊇)","expression":"(⪝⪂⫅⪎⋱⫍39CC)∲⫓(⪎⋱⫍7A1⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":8280,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1314,"base":13}}},"used_operators":["i8ToyICDmI","XTarYq4gQB","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-338019","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8280","layer":2},{"info":"compute unary expreesion, input=8280, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1217160","layer":1},{"info":"number node, value=1314","layer":2},{"info":"compute unary expreesion, input=1314, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1272","layer":1},{"info":"compute binary expreesion, left_input=-1217160, right_input=-1272, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1217160","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍39CC)∲⫓(⪎⋱⫍7A1⫩⊇)=⪎⋱⫍-338019","reverse_text":"⪎⋱⫍-338019=(⪝⪂⫅⪎⋱⫍39CC)∲⫓(⪎⋱⫍7A1⫩⊇)","cot":[{"info":"⪝⪂⫅⪎⋱⫍39CC=⪎⋱⫍-338019","layer":1},{"info":"⪎⋱⫍7A1⫩⊇=⪎⋱⫍-76B","layer":1},{"info":"⪎⋱⫍-338019∲⫓⪎⋱⫍-76B=⪎⋱⫍-338019","layer":0}]}
{"id":27,"expression_no_base_symbol":"≉$2867$⊴$5549$","expression":"≉⪎⋱⫍13C7⊴⪎⋱⫍26AB","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5556,"operation_count":2,"complexity_ratio":2778.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2867,"base":13},"right_expr":{"type":"numeric_atoms","value":5549,"base":13}}},"used_operators":["e1ybzncUwg","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2867","layer":2},{"info":"number node, value=5549","layer":2},{"info":"compute binary expreesion, left_input=2867, right_input=5549, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢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":13,"result_base":13,"text":"≉⪎⋱⫍13C7⊴⪎⋱⫍26AB=NaN","reverse_text":"NaN=≉⪎⋱⫍13C7⊴⪎⋱⫍26AB","cot":[{"info":"⪎⋱⫍13C7⊴⪎⋱⫍26AB=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"⩦⩻⨪($4413$%$5025$)","expression":"⩦⩻⨪(⪎⋱⫍2016%⪎⋱⫍2397)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4413,"base":13},"right_expr":{"type":"numeric_atoms","value":5025,"base":13}}},"used_operators":["2td37pGCOC","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍2016","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4413","layer":2},{"info":"number node, value=5025","layer":2},{"info":"compute binary expreesion, left_input=4413, right_input=5025, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4413","layer":1},{"info":"compute unary expreesion, input=4413, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4413","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍2016%⪎⋱⫍2397)=⪎⋱⫍2016","reverse_text":"⪎⋱⫍2016=⩦⩻⨪(⪎⋱⫍2016%⪎⋱⫍2397)","cot":[{"info":"⪎⋱⫍2016%⪎⋱⫍2397=⪎⋱⫍2016","layer":1},{"info":"⩦⩻⨪⪎⋱⫍2016=⪎⋱⫍2016","layer":0}]}
{"id":29,"expression_no_base_symbol":"($1128$⋳⪒$1574$)⫩⊇","expression":"(⪎⋱⫍68A⋳⪒⪎⋱⫍941)⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1128,"base":13},"right_expr":{"type":"numeric_atoms","value":1574,"base":13}}},"used_operators":["BjRHVeLaeN","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-212","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":2},{"info":"number node, value=1574","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=1574, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=395","layer":1},{"info":"compute unary expreesion, input=395, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-353","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍68A⋳⪒⪎⋱⫍941)⫩⊇=⪎⋱⫍-212","reverse_text":"⪎⋱⫍-212=(⪎⋱⫍68A⋳⪒⪎⋱⫍941)⫩⊇","cot":[{"info":"⪎⋱⫍68A⋳⪒⪎⋱⫍941=⪎⋱⫍245","layer":1},{"info":"⪎⋱⫍245⫩⊇=⪎⋱⫍-212","layer":0}]}
{"id":30,"expression_no_base_symbol":"($1519$+$1798$)⨳⩥⨓$1512$⋳⪒$2117$","expression":"(⪎⋱⫍8CB+⪎⋱⫍A84)⨳⩥⨓⪎⋱⫍8C4⋳⪒⪎⋱⫍C6B","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1519,"base":13},"right_expr":{"type":"numeric_atoms","value":1798,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1512,"base":13},"right_expr":{"type":"numeric_atoms","value":2117,"base":13}}},"used_operators":["nCS4ZIUYfx","W4YGzv6Whe","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-12C6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1519","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=1519, right_input=1798, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3317","layer":1},{"info":"number node, value=1512","layer":2},{"info":"number node, value=2117","layer":2},{"info":"compute binary expreesion, left_input=1512, right_input=2117, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=620","layer":1},{"info":"compute binary expreesion, left_input=3317, right_input=620, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2697","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍8CB+⪎⋱⫍A84)⨳⩥⨓⪎⋱⫍8C4⋳⪒⪎⋱⫍C6B=⪎⋱⫍-12C6","reverse_text":"⪎⋱⫍-12C6=(⪎⋱⫍8CB+⪎⋱⫍A84)⨳⩥⨓⪎⋱⫍8C4⋳⪒⪎⋱⫍C6B","cot":[{"info":"⪎⋱⫍8CB+⪎⋱⫍A84=⪎⋱⫍1682","layer":1},{"info":"⪎⋱⫍8C4⋳⪒⪎⋱⫍C6B=⪎⋱⫍389","layer":1},{"info":"⪎⋱⫍1682⨳⩥⨓⪎⋱⫍389=⪎⋱⫍-12C6","layer":0}]}
{"id":31,"expression_no_base_symbol":"∥⊫($2145$⊭↱$3465$)","expression":"∥⊫(⪎⋱⫍C90⊭↱⪎⋱⫍1767)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2145,"base":13},"right_expr":{"type":"numeric_atoms","value":3465,"base":13}}},"used_operators":["P8v4zCKN1o","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍17A3","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2145","layer":2},{"info":"number node, value=3465","layer":2},{"info":"compute binary expreesion, left_input=2145, right_input=3465, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2645","layer":1},{"info":"compute unary expreesion, input=2645, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3513","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍C90⊭↱⪎⋱⫍1767)=⪎⋱⫍17A3","reverse_text":"⪎⋱⫍17A3=∥⊫(⪎⋱⫍C90⊭↱⪎⋱⫍1767)","cot":[{"info":"⪎⋱⫍C90⊭↱⪎⋱⫍1767=⪎⋱⫍1286","layer":1},{"info":"∥⊫⪎⋱⫍1286=⪎⋱⫍17A3","layer":0}]}
{"id":32,"expression_no_base_symbol":"$5064$≎⊠⪸$2053$⨸⪁$5212$⨳⩥⨓$1370$","expression":"⪎⋱⫍23C7≎⊠⪸⪎⋱⫍C1C⨸⪁⪎⋱⫍24AC⨳⩥⨓⪎⋱⫍815","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5064,"base":13},"right_expr":{"type":"numeric_atoms","value":2053,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5212,"base":13},"right_expr":{"type":"numeric_atoms","value":1370,"base":13}}},"used_operators":["g55IO6H4Gj","bJkvcejdHO","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍707071","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5064","layer":2},{"info":"number node, value=2053","layer":2},{"info":"compute binary expreesion, left_input=5064, right_input=2053, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1311103","layer":1},{"info":"number node, value=5212","layer":2},{"info":"number node, value=1370","layer":2},{"info":"compute binary expreesion, left_input=5212, right_input=1370, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3842","layer":1},{"info":"compute binary expreesion, left_input=1311103, right_input=-3842, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2614522","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍23C7≎⊠⪸⪎⋱⫍C1C⨸⪁⪎⋱⫍24AC⨳⩥⨓⪎⋱⫍815=⪎⋱⫍707071","reverse_text":"⪎⋱⫍707071=⪎⋱⫍23C7≎⊠⪸⪎⋱⫍C1C⨸⪁⪎⋱⫍24AC⨳⩥⨓⪎⋱⫍815","cot":[{"info":"⪎⋱⫍23C7≎⊠⪸⪎⋱⫍C1C=⪎⋱⫍36BA01","layer":1},{"info":"⪎⋱⫍24AC⨳⩥⨓⪎⋱⫍815=⪎⋱⫍-1997","layer":1},{"info":"⪎⋱⫍36BA01⨸⪁⪎⋱⫍-1997=⪎⋱⫍707071","layer":0}]}
{"id":33,"expression_no_base_symbol":"($2055$⨽$2231$)⊭∹↮","expression":"(⪎⋱⫍C21⨽⪎⋱⫍1028)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2065,"operation_count":2,"complexity_ratio":1032.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2055,"base":13},"right_expr":{"type":"numeric_atoms","value":2231,"base":13}}},"used_operators":["xNBdhnnwKq","8HhzD0ZcuI"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍-2819CA0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2055","layer":2},{"info":"number node, value=2231","layer":2},{"info":"compute binary expreesion, left_input=2055, right_input=2231, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12674454","layer":1},{"info":"compute unary expreesion, input=-12674454, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-12674454","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C21⨽⪎⋱⫍1028)⊭∹↮=⪎⋱⫍-2819CA0","reverse_text":"⪎⋱⫍-2819CA0=(⪎⋱⫍C21⨽⪎⋱⫍1028)⊭∹↮","cot":[{"info":"⪎⋱⫍C21⨽⪎⋱⫍1028=⪎⋱⫍-2819CA0","layer":1},{"info":"⪎⋱⫍-2819CA0⊭∹↮=⪎⋱⫍-2819CA0","layer":0}]}
{"id":34,"expression_no_base_symbol":"($1139$⨳⩥⨓$1568$)≧⫂∧(⨵≀≌$3881$)","expression":"(⪎⋱⫍698⨳⩥⨓⪎⋱⫍938)≧⫂∧(⨵≀≌⪎⋱⫍19C7)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1139,"base":13},"right_expr":{"type":"numeric_atoms","value":1568,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3881,"base":13}}},"used_operators":["Ph9nP6C5qx","nCS4ZIUYfx","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⪎⋱⫍5658","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":2},{"info":"number node, value=1568","layer":2},{"info":"compute binary expreesion, left_input=1139, right_input=1568, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=429","layer":1},{"info":"number node, value=3881","layer":2},{"info":"compute unary expreesion, input=3881, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11643","layer":1},{"info":"compute binary expreesion, left_input=429, right_input=-11643, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=12072","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍698⨳⩥⨓⪎⋱⫍938)≧⫂∧(⨵≀≌⪎⋱⫍19C7)=⪎⋱⫍5658","reverse_text":"⪎⋱⫍5658=(⪎⋱⫍698⨳⩥⨓⪎⋱⫍938)≧⫂∧(⨵≀≌⪎⋱⫍19C7)","cot":[{"info":"⪎⋱⫍698⨳⩥⨓⪎⋱⫍938=⪎⋱⫍270","layer":1},{"info":"⨵≀≌⪎⋱⫍19C7=⪎⋱⫍-53B8","layer":1},{"info":"⪎⋱⫍270≧⫂∧⪎⋱⫍-53B8=⪎⋱⫍5658","layer":0}]}
{"id":35,"expression_no_base_symbol":"(≦∁$7242$)⪨≂$1227$⩷∴$2318$","expression":"(≦∁⪎⋱⫍33B1)⪨≂⪎⋱⫍735⩷∴⪎⋱⫍1094","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7242,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1227,"base":13},"right_expr":{"type":"numeric_atoms","value":2318,"base":13}}},"used_operators":["sdazOOVcIp","9ICcGScMcE","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"⪎⋱⫍8868","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7242","layer":2},{"info":"compute unary expreesion, input=7242, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7242","layer":1},{"info":"number node, value=1227","layer":2},{"info":"number node, value=2318","layer":2},{"info":"compute binary expreesion, left_input=1227, right_input=2318, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2214","layer":1},{"info":"compute binary expreesion, left_input=7242, right_input=-2214, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=19014","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍33B1)⪨≂⪎⋱⫍735⩷∴⪎⋱⫍1094=⪎⋱⫍8868","reverse_text":"⪎⋱⫍8868=(≦∁⪎⋱⫍33B1)⪨≂⪎⋱⫍735⩷∴⪎⋱⫍1094","cot":[{"info":"≦∁⪎⋱⫍33B1=⪎⋱⫍33B1","layer":1},{"info":"⪎⋱⫍735⩷∴⪎⋱⫍1094=⪎⋱⫍-1014","layer":1},{"info":"⪎⋱⫍33B1⪨≂⪎⋱⫍-1014=⪎⋱⫍8868","layer":0}]}
{"id":36,"expression_no_base_symbol":"($1299$∲⫓$5597$)⨎$4999$⨟⋌⩍$2689$","expression":"(⪎⋱⫍78C∲⫓⪎⋱⫍2717)⨎⪎⋱⫍2377⨟⋌⩍⪎⋱⫍12BB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1299,"base":13},"right_expr":{"type":"numeric_atoms","value":5597,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4999,"base":13},"right_expr":{"type":"numeric_atoms","value":2689,"base":13}}},"used_operators":["rJVOvQCfKK","i8ToyICDmI","rGHVDoGpnC"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"number node, value=5597","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=5597, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=4999","layer":2},{"info":"number node, value=2689","layer":2},{"info":"compute binary expreesion, left_input=4999, right_input=2689, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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":13,"result_base":13,"text":"(⪎⋱⫍78C∲⫓⪎⋱⫍2717)⨎⪎⋱⫍2377⨟⋌⩍⪎⋱⫍12BB=NaN","reverse_text":"NaN=(⪎⋱⫍78C∲⫓⪎⋱⫍2717)⨎⪎⋱⫍2377⨟⋌⩍⪎⋱⫍12BB","cot":[{"info":"⪎⋱⫍78C∲⫓⪎⋱⫍2717=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2377⨟⋌⩍⪎⋱⫍12BB=NaN","layer":1},{"info":"⪎⋱⫍0⨎NaN=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"($1049$⪒$1590$)↬$3206$⪘⫢$1053$","expression":"(⪎⋱⫍629⪒⪎⋱⫍954)↬⪎⋱⫍15C8⪘⫢⪎⋱⫍630","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":1590,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3206,"base":13},"right_expr":{"type":"numeric_atoms","value":1053,"base":13}}},"used_operators":["B5M0gjZbta","f6k1SAg4EE","oacrs7FA3X"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=1590","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=1590, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2639","layer":1},{"info":"number node, value=3206","layer":2},{"info":"number node, value=1053","layer":2},{"info":"compute binary expreesion, left_input=3206, right_input=1053, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6288","layer":1},{"info":"compute binary expreesion, left_input=-2639, right_input=6288, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍629⪒⪎⋱⫍954)↬⪎⋱⫍15C8⪘⫢⪎⋱⫍630=NaN","reverse_text":"NaN=(⪎⋱⫍629⪒⪎⋱⫍954)↬⪎⋱⫍15C8⪘⫢⪎⋱⫍630","cot":[{"info":"⪎⋱⫍629⪒⪎⋱⫍954=⪎⋱⫍-1280","layer":1},{"info":"⪎⋱⫍15C8⪘⫢⪎⋱⫍630=⪎⋱⫍2B29","layer":1},{"info":"⪎⋱⫍-1280↬⪎⋱⫍2B29=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"($2047$⩚⊴⇥$2210$)∑⇟⊟(↥$1444$)","expression":"(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1010)∑⇟⊟(↥⪎⋱⫍871)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3475,"operation_count":3,"complexity_ratio":1158.3333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2047,"base":13},"right_expr":{"type":"numeric_atoms","value":2210,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1444,"base":13}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","A8NUZmVepG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2047","layer":2},{"info":"number node, value=2210","layer":2},{"info":"compute binary expreesion, left_input=2047, right_input=2210, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4378","layer":1},{"info":"number node, value=1444","layer":2},{"info":"compute unary expreesion, input=1444, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":1},{"info":"compute binary expreesion, left_input=-4378, right_input=16, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1010)∑⇟⊟(↥⪎⋱⫍871)=NaN","reverse_text":"NaN=(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1010)∑⇟⊟(↥⪎⋱⫍871)","cot":[{"info":"⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1010=⪎⋱⫍-1CBA","layer":1},{"info":"↥⪎⋱⫍871=⪎⋱⫍13","layer":1},{"info":"⪎⋱⫍-1CBA∑⇟⊟⪎⋱⫍13=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(↽≂$1186$)≎⊠⪸($4452$⋥≓≎$1200$)","expression":"(↽≂⪎⋱⫍703)≎⊠⪸(⪎⋱⫍2046⋥≓≎⪎⋱⫍714)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1186,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4452,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}}},"used_operators":["bJkvcejdHO","u6S6b8DprG","Qy55tPpLXF"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":2},{"info":"compute unary expreesion, input=1186, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2372","layer":1},{"info":"number node, value=4452","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=4452, right_input=1200, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2019","layer":1},{"info":"compute binary expreesion, left_input=-2372, right_input=-2019, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍703)≎⊠⪸(⪎⋱⫍2046⋥≓≎⪎⋱⫍714)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(↽≂⪎⋱⫍703)≎⊠⪸(⪎⋱⫍2046⋥≓≎⪎⋱⫍714)","cot":[{"info":"↽≂⪎⋱⫍703=⪎⋱⫍-1106","layer":1},{"info":"⪎⋱⫍2046⋥≓≎⪎⋱⫍714=⪎⋱⫍-BC4","layer":1},{"info":"⪎⋱⫍-1106≎⊠⪸⪎⋱⫍-BC4=⪎⋱⫍52","layer":0}]}
{"id":40,"expression_no_base_symbol":"$3578$⨟⋌⩍$1763$⪒$1971$⨟⋌⩍$5895$","expression":"⪎⋱⫍1823⨟⋌⩍⪎⋱⫍A58⪒⪎⋱⫍B88⨟⋌⩍⪎⋱⫍28B6","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3578,"base":13},"right_expr":{"type":"numeric_atoms","value":1763,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1971,"base":13},"right_expr":{"type":"numeric_atoms","value":5895,"base":13}}},"used_operators":["f6k1SAg4EE","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3578","layer":2},{"info":"number node, value=1763","layer":2},{"info":"compute binary expreesion, left_input=3578, right_input=1763, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1971","layer":2},{"info":"number node, value=5895","layer":2},{"info":"compute binary expreesion, left_input=1971, right_input=5895, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1823⨟⋌⩍⪎⋱⫍A58⪒⪎⋱⫍B88⨟⋌⩍⪎⋱⫍28B6=NaN","reverse_text":"NaN=⪎⋱⫍1823⨟⋌⩍⪎⋱⫍A58⪒⪎⋱⫍B88⨟⋌⩍⪎⋱⫍28B6","cot":[{"info":"⪎⋱⫍1823⨟⋌⩍⪎⋱⫍A58=NaN","layer":1},{"info":"⪎⋱⫍B88⨟⋌⩍⪎⋱⫍28B6=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"($1146$∲⫓$8058$)*($3565$⩨$7338$)","expression":"(⪎⋱⫍6A2∲⫓⪎⋱⫍388B)*(⪎⋱⫍1813⩨⪎⋱⫍3456)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1146,"base":13},"right_expr":{"type":"numeric_atoms","value":8058,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3565,"base":13},"right_expr":{"type":"numeric_atoms","value":7338,"base":13}}},"used_operators":["9HNa5Wba9A","i8ToyICDmI","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1146","layer":2},{"info":"number node, value=8058","layer":2},{"info":"compute binary expreesion, left_input=1146, right_input=8058, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3565","layer":2},{"info":"number node, value=7338","layer":2},{"info":"compute binary expreesion, left_input=3565, right_input=7338, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6A2∲⫓⪎⋱⫍388B)*(⪎⋱⫍1813⩨⪎⋱⫍3456)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍6A2∲⫓⪎⋱⫍388B)*(⪎⋱⫍1813⩨⪎⋱⫍3456)","cot":[{"info":"⪎⋱⫍6A2∲⫓⪎⋱⫍388B=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1813⩨⪎⋱⫍3456=⪎⋱⫍-6","layer":1},{"info":"⪎⋱⫍0*⪎⋱⫍-6=⪎⋱⫍0","layer":0}]}
{"id":42,"expression_no_base_symbol":"↩($1870$⊭∹↮)","expression":"↩(⪎⋱⫍B0B⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1870,"base":13}}},"used_operators":["jLgFTUHLKL","xNBdhnnwKq"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-C479","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1870","layer":2},{"info":"compute unary expreesion, input=1870, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3740","layer":1},{"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":0}],"base":13,"result_base":13,"text":"↩(⪎⋱⫍B0B⊭∹↮)=⪎⋱⫍-C479","reverse_text":"⪎⋱⫍-C479=↩(⪎⋱⫍B0B⊭∹↮)","cot":[{"info":"⪎⋱⫍B0B⊭∹↮=⪎⋱⫍1919","layer":1},{"info":"↩⪎⋱⫍1919=⪎⋱⫍-C479","layer":0}]}
{"id":43,"expression_no_base_symbol":"$1569$+⇶⊼$2194$⇼⇔∾(≤/$5104$)","expression":"⪎⋱⫍939+⇶⊼⪎⋱⫍CCA⇼⇔∾(≤/⪎⋱⫍2428)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1569,"base":13},"right_expr":{"type":"numeric_atoms","value":2194,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5104,"base":13}}},"used_operators":["tifHPKVTfV","TpPTUOHfaN","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1569","layer":2},{"info":"number node, value=2194","layer":2},{"info":"compute binary expreesion, left_input=1569, right_input=2194, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=5104","layer":2},{"info":"compute unary expreesion, input=5104, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4620","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4620, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍939+⇶⊼⪎⋱⫍CCA⇼⇔∾(≤/⪎⋱⫍2428)=NaN","reverse_text":"NaN=⪎⋱⫍939+⇶⊼⪎⋱⫍CCA⇼⇔∾(≤/⪎⋱⫍2428)","cot":[{"info":"⪎⋱⫍939+⇶⊼⪎⋱⫍CCA=NaN","layer":1},{"info":"≤/⪎⋱⫍2428=⪎⋱⫍-2145","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍-2145=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"($1056$⫥∨⫟$1844$)≭($1215$↺$3407$)","expression":"(⪎⋱⫍633⫥∨⫟⪎⋱⫍ABB)≭(⪎⋱⫍726↺⪎⋱⫍1721)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1056,"base":13},"right_expr":{"type":"numeric_atoms","value":1844,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1215,"base":13},"right_expr":{"type":"numeric_atoms","value":3407,"base":13}}},"used_operators":["rxpJgHHUmx","KYD54nUTWz","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1056","layer":2},{"info":"number node, value=1844","layer":2},{"info":"compute binary expreesion, left_input=1056, right_input=1844, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1215","layer":2},{"info":"number node, value=3407","layer":2},{"info":"compute binary expreesion, left_input=1215, right_input=3407, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3407","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3407, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍633⫥∨⫟⪎⋱⫍ABB)≭(⪎⋱⫍726↺⪎⋱⫍1721)=NaN","reverse_text":"NaN=(⪎⋱⫍633⫥∨⫟⪎⋱⫍ABB)≭(⪎⋱⫍726↺⪎⋱⫍1721)","cot":[{"info":"⪎⋱⫍633⫥∨⫟⪎⋱⫍ABB=NaN","layer":1},{"info":"⪎⋱⫍726↺⪎⋱⫍1721=⪎⋱⫍1721","layer":1},{"info":"NaN≭⪎⋱⫍1721=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"($6169$⪒$8864$)≦≮≮","expression":"(⪎⋱⫍2A67⪒⪎⋱⫍405B)≦≮≮","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6169,"base":13},"right_expr":{"type":"numeric_atoms","value":8864,"base":13}}},"used_operators":["D4vGDi5EA2","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍176B2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6169","layer":2},{"info":"number node, value=8864","layer":2},{"info":"compute binary expreesion, left_input=6169, right_input=8864, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15033","layer":1},{"info":"compute unary expreesion, input=-15033, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=45099","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2A67⪒⪎⋱⫍405B)≦≮≮=⪎⋱⫍176B2","reverse_text":"⪎⋱⫍176B2=(⪎⋱⫍2A67⪒⪎⋱⫍405B)≦≮≮","cot":[{"info":"⪎⋱⫍2A67⪒⪎⋱⫍405B=⪎⋱⫍-6AC5","layer":1},{"info":"⪎⋱⫍-6AC5≦≮≮=⪎⋱⫍176B2","layer":0}]}
{"id":46,"expression_no_base_symbol":"$7022$⩚⊴⇥$3986$⨽$2389$⨟⋌⩍$1441$","expression":"⪎⋱⫍3272⩚⊴⇥⪎⋱⫍1A78⨽⪎⋱⫍111A⨟⋌⩍⪎⋱⫍86B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11142,"operation_count":3,"complexity_ratio":3714.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7022,"base":13},"right_expr":{"type":"numeric_atoms","value":3986,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2389,"base":13},"right_expr":{"type":"numeric_atoms","value":1441,"base":13}}},"used_operators":["8HhzD0ZcuI","NTOWxs364D","rGHVDoGpnC"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7022","layer":2},{"info":"number node, value=3986","layer":2},{"info":"compute binary expreesion, left_input=7022, right_input=3986, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11129","layer":1},{"info":"number node, value=2389","layer":2},{"info":"number node, value=1441","layer":2},{"info":"compute binary expreesion, left_input=2389, right_input=1441, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-11129, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3272⩚⊴⇥⪎⋱⫍1A78⨽⪎⋱⫍111A⨟⋌⩍⪎⋱⫍86B=NaN","reverse_text":"NaN=⪎⋱⫍3272⩚⊴⇥⪎⋱⫍1A78⨽⪎⋱⫍111A⨟⋌⩍⪎⋱⫍86B","cot":[{"info":"⪎⋱⫍3272⩚⊴⇥⪎⋱⫍1A78=⪎⋱⫍-50B1","layer":1},{"info":"⪎⋱⫍111A⨟⋌⩍⪎⋱⫍86B=NaN","layer":1},{"info":"⪎⋱⫍-50B1⨽NaN=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"$5180$⊴$3880$∑⇟⊟(⪝⪂⫅$3463$)","expression":"⪎⋱⫍2486⊴⪎⋱⫍19C6∑⇟⊟(⪝⪂⫅⪎⋱⫍1765)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4385,"operation_count":3,"complexity_ratio":1461.6666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5180,"base":13},"right_expr":{"type":"numeric_atoms","value":3880,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3463,"base":13}}},"used_operators":["U7g4x0WXJJ","Nsiff2A1zJ","XTarYq4gQB"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5180","layer":2},{"info":"number node, value=3880","layer":2},{"info":"compute binary expreesion, left_input=5180, right_input=3880, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3463","layer":2},{"info":"compute unary expreesion, input=3463, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-509061","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-509061, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2486⊴⪎⋱⫍19C6∑⇟⊟(⪝⪂⫅⪎⋱⫍1765)=NaN","reverse_text":"NaN=⪎⋱⫍2486⊴⪎⋱⫍19C6∑⇟⊟(⪝⪂⫅⪎⋱⫍1765)","cot":[{"info":"⪎⋱⫍2486⊴⪎⋱⫍19C6=NaN","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1765=⪎⋱⫍-14A927","layer":1},{"info":"NaN∑⇟⊟⪎⋱⫍-14A927=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"$1132$⨎$1484$⨐⩸⫘$2570$⩷∴$5306$","expression":"⪎⋱⫍691⨎⪎⋱⫍8A2⨐⩸⫘⪎⋱⫍1229⩷∴⪎⋱⫍2552","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":1484,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2570,"base":13},"right_expr":{"type":"numeric_atoms","value":5306,"base":13}}},"used_operators":["fu6greOZ01","rJVOvQCfKK","9FxExcQeMw"],"dependent_operators":["3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":2},{"info":"number node, value=1484","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=1484, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1484","layer":1},{"info":"number node, value=2570","layer":2},{"info":"number node, value=5306","layer":2},{"info":"compute binary expreesion, left_input=2570, right_input=5306, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5504","layer":1},{"info":"compute binary expreesion, left_input=1484, right_input=-5504, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍691⨎⪎⋱⫍8A2⨐⩸⫘⪎⋱⫍1229⩷∴⪎⋱⫍2552=NaN","reverse_text":"NaN=⪎⋱⫍691⨎⪎⋱⫍8A2⨐⩸⫘⪎⋱⫍1229⩷∴⪎⋱⫍2552","cot":[{"info":"⪎⋱⫍691⨎⪎⋱⫍8A2=⪎⋱⫍8A2","layer":1},{"info":"⪎⋱⫍1229⩷∴⪎⋱⫍2552=⪎⋱⫍-2675","layer":1},{"info":"⪎⋱⫍8A2⨐⩸⫘⪎⋱⫍-2675=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"⋗⩬⋾$3614$⨟⋌⩍$3894$","expression":"⋗⩬⋾⪎⋱⫍1850⨟⋌⩍⪎⋱⫍1A07","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3614,"base":13},"right_expr":{"type":"numeric_atoms","value":3894,"base":13}}},"used_operators":["DpFCA1CohY","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3614","layer":2},{"info":"number node, value=3894","layer":2},{"info":"compute binary expreesion, left_input=3614, right_input=3894, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾⪎⋱⫍1850⨟⋌⩍⪎⋱⫍1A07=NaN","reverse_text":"NaN=⋗⩬⋾⪎⋱⫍1850⨟⋌⩍⪎⋱⫍1A07","cot":[{"info":"⪎⋱⫍1850⨟⋌⩍⪎⋱⫍1A07=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":50,"expression_no_base_symbol":"(⇁⨣⪵$1025$)⊉≛↸($1343$⫡⨏$1497$)","expression":"(⇁⨣⪵⪎⋱⫍60B)⊉≛↸(⪎⋱⫍7C4⫡⨏⪎⋱⫍8B2)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1025,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1343,"base":13},"right_expr":{"type":"numeric_atoms","value":1497,"base":13}}},"used_operators":["DZ8iAZOCBD","inkyxCbjAn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"compute unary expreesion, input=1025, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1343","layer":2},{"info":"number node, value=1497","layer":2},{"info":"compute binary expreesion, left_input=1343, right_input=1497, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10492","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10492, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍60B)⊉≛↸(⪎⋱⫍7C4⫡⨏⪎⋱⫍8B2)=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍60B)⊉≛↸(⪎⋱⫍7C4⫡⨏⪎⋱⫍8B2)","cot":[{"info":"⇁⨣⪵⪎⋱⫍60B=NaN","layer":1},{"info":"⪎⋱⫍7C4⫡⨏⪎⋱⫍8B2=⪎⋱⫍4A11","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍4A11=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"($2676$⨵⪆$3242$)⋥≓≎(↩$1462$)","expression":"(⪎⋱⫍12AB⨵⪆⪎⋱⫍1625)⋥≓≎(↩⪎⋱⫍886)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2676,"base":13},"right_expr":{"type":"numeric_atoms","value":3242,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1462,"base":13}}},"used_operators":["Qy55tPpLXF","2DQ55sFlQl","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-8236","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2676","layer":2},{"info":"number node, value=3242","layer":2},{"info":"compute binary expreesion, left_input=2676, right_input=3242, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1462","layer":2},{"info":"compute unary expreesion, input=1462, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8916","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-8916, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-17959","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍12AB⨵⪆⪎⋱⫍1625)⋥≓≎(↩⪎⋱⫍886)=⪎⋱⫍-8236","reverse_text":"⪎⋱⫍-8236=(⪎⋱⫍12AB⨵⪆⪎⋱⫍1625)⋥≓≎(↩⪎⋱⫍886)","cot":[{"info":"⪎⋱⫍12AB⨵⪆⪎⋱⫍1625=⪎⋱⫍C4","layer":1},{"info":"↩⪎⋱⫍886=⪎⋱⫍-409B","layer":1},{"info":"⪎⋱⫍C4⋥≓≎⪎⋱⫍-409B=⪎⋱⫍-8236","layer":0}]}
{"id":52,"expression_no_base_symbol":"⨰⫟⨤($5011$⨳⩥⨓$1765$)","expression":"⨰⫟⨤(⪎⋱⫍2386⨳⩥⨓⪎⋱⫍A5A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13879,"operation_count":2,"complexity_ratio":6939.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5011,"base":13},"right_expr":{"type":"numeric_atoms","value":1765,"base":13}}},"used_operators":["Tw270M8GLb","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=5011, right_input=1765, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3246","layer":1},{"info":"compute unary expreesion, input=-3246, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍2386⨳⩥⨓⪎⋱⫍A5A)=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍2386⨳⩥⨓⪎⋱⫍A5A)","cot":[{"info":"⪎⋱⫍2386⨳⩥⨓⪎⋱⫍A5A=⪎⋱⫍-1629","layer":1},{"info":"⨰⫟⨤⪎⋱⫍-1629=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"(↩$1819$)∸","expression":"(↩⪎⋱⫍A9C)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":193,"operation_count":2,"complexity_ratio":96.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1819,"base":13}}},"used_operators":["o20kRiQErp","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1819","layer":2},{"info":"compute unary expreesion, input=1819, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11772","layer":1},{"info":"compute unary expreesion, input=-11772, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍A9C)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(↩⪎⋱⫍A9C)∸","cot":[{"info":"↩⪎⋱⫍A9C=⪎⋱⫍-5487","layer":1},{"info":"⪎⋱⫍-5487∸=⪎⋱⫍108","layer":0}]}
{"id":54,"expression_no_base_symbol":"(∂$1999$)⊉≛↸$4080$≭$5002$","expression":"(∂⪎⋱⫍BAA)⊉≛↸⪎⋱⫍1B1B≭⪎⋱⫍237A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1999,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4080,"base":13},"right_expr":{"type":"numeric_atoms","value":5002,"base":13}}},"used_operators":["DZ8iAZOCBD","Uaa54Peajs","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1999","layer":2},{"info":"compute unary expreesion, input=1999, 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=4080","layer":2},{"info":"number node, value=5002","layer":2},{"info":"compute binary expreesion, left_input=4080, right_input=5002, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(∂⪎⋱⫍BAA)⊉≛↸⪎⋱⫍1B1B≭⪎⋱⫍237A=NaN","reverse_text":"NaN=(∂⪎⋱⫍BAA)⊉≛↸⪎⋱⫍1B1B≭⪎⋱⫍237A","cot":[{"info":"∂⪎⋱⫍BAA=NaN","layer":1},{"info":"⪎⋱⫍1B1B≭⪎⋱⫍237A=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"($6841$%$1493$)⩷∴($7820$⨽$4652$)","expression":"(⪎⋱⫍3163%⪎⋱⫍8AB)⩷∴(⪎⋱⫍3737⨽⪎⋱⫍216B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7839,"operation_count":3,"complexity_ratio":2613.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6841,"base":13},"right_expr":{"type":"numeric_atoms","value":1493,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7820,"base":13},"right_expr":{"type":"numeric_atoms","value":4652,"base":13}}},"used_operators":["9FxExcQeMw","k8jYdgA6NY","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍5B0383AA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6841","layer":2},{"info":"number node, value=1493","layer":2},{"info":"compute binary expreesion, left_input=6841, right_input=1493, op_id = k8jYdgA6NY binary_op_definition= 'None', output=869","layer":1},{"info":"number node, value=7820","layer":2},{"info":"number node, value=4652","layer":2},{"info":"compute binary expreesion, left_input=7820, right_input=4652, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-183469842","layer":1},{"info":"compute binary expreesion, left_input=869, right_input=-183469842, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=366941390","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3163%⪎⋱⫍8AB)⩷∴(⪎⋱⫍3737⨽⪎⋱⫍216B)=⪎⋱⫍5B0383AA","reverse_text":"⪎⋱⫍5B0383AA=(⪎⋱⫍3163%⪎⋱⫍8AB)⩷∴(⪎⋱⫍3737⨽⪎⋱⫍216B)","cot":[{"info":"⪎⋱⫍3163%⪎⋱⫍8AB=⪎⋱⫍51B","layer":1},{"info":"⪎⋱⫍3737⨽⪎⋱⫍216B=⪎⋱⫍-2C01A34A","layer":1},{"info":"⪎⋱⫍51B⩷∴⪎⋱⫍-2C01A34A=⪎⋱⫍5B0383AA","layer":0}]}
{"id":56,"expression_no_base_symbol":"$2214$⋳⪒$4110$⨎(≉$5275$)","expression":"⪎⋱⫍1014⋳⪒⪎⋱⫍1B42⨎(≉⪎⋱⫍252A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2214,"base":13},"right_expr":{"type":"numeric_atoms","value":4110,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5275,"base":13}}},"used_operators":["rJVOvQCfKK","12rbrZMWeM","e1ybzncUwg"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2848","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2214","layer":2},{"info":"number node, value=4110","layer":2},{"info":"compute binary expreesion, left_input=2214, right_input=4110, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=31","layer":1},{"info":"number node, value=5275","layer":2},{"info":"compute unary expreesion, input=5275, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5806","layer":1},{"info":"compute binary expreesion, left_input=31, right_input=5806, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5806","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1014⋳⪒⪎⋱⫍1B42⨎(≉⪎⋱⫍252A)=⪎⋱⫍2848","reverse_text":"⪎⋱⫍2848=⪎⋱⫍1014⋳⪒⪎⋱⫍1B42⨎(≉⪎⋱⫍252A)","cot":[{"info":"⪎⋱⫍1014⋳⪒⪎⋱⫍1B42=⪎⋱⫍25","layer":1},{"info":"≉⪎⋱⫍252A=⪎⋱⫍2848","layer":1},{"info":"⪎⋱⫍25⨎⪎⋱⫍2848=⪎⋱⫍2848","layer":0}]}
{"id":57,"expression_no_base_symbol":"($1486$⪐)⨰($1026$⪨≂$5844$)","expression":"(⪎⋱⫍8A4⪐)⨰(⪎⋱⫍60C⪨≂⪎⋱⫍2877)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1486,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1026,"base":13},"right_expr":{"type":"numeric_atoms","value":5844,"base":13}}},"used_operators":["eewbuw0ToL","eH2TOUuTDT","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍590A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1486","layer":2},{"info":"compute unary expreesion, input=1486, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2972","layer":1},{"info":"number node, value=1026","layer":2},{"info":"number node, value=5844","layer":2},{"info":"compute binary expreesion, left_input=1026, right_input=5844, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9534","layer":1},{"info":"compute binary expreesion, left_input=2972, right_input=-9534, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=12516","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍8A4⪐)⨰(⪎⋱⫍60C⪨≂⪎⋱⫍2877)=⪎⋱⫍590A","reverse_text":"⪎⋱⫍590A=(⪎⋱⫍8A4⪐)⨰(⪎⋱⫍60C⪨≂⪎⋱⫍2877)","cot":[{"info":"⪎⋱⫍8A4⪐=⪎⋱⫍1478","layer":1},{"info":"⪎⋱⫍60C⪨≂⪎⋱⫍2877=⪎⋱⫍-4455","layer":1},{"info":"⪎⋱⫍1478⨰⪎⋱⫍-4455=⪎⋱⫍590A","layer":0}]}
{"id":58,"expression_no_base_symbol":"(⨵≀≌$6335$)⪘⫢($7188$⊉≛↸$1317$)","expression":"(⨵≀≌⪎⋱⫍2B64)⪘⫢(⪎⋱⫍336C⊉≛↸⪎⋱⫍7A4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6335,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7188,"base":13},"right_expr":{"type":"numeric_atoms","value":1317,"base":13}}},"used_operators":["oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6335","layer":2},{"info":"compute unary expreesion, input=6335, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-19005","layer":1},{"info":"number node, value=7188","layer":2},{"info":"number node, value=1317","layer":2},{"info":"compute binary expreesion, left_input=7188, right_input=1317, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14376","layer":1},{"info":"compute binary expreesion, left_input=-19005, right_input=14376, 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":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍2B64)⪘⫢(⪎⋱⫍336C⊉≛↸⪎⋱⫍7A4)=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⨵≀≌⪎⋱⫍2B64)⪘⫢(⪎⋱⫍336C⊉≛↸⪎⋱⫍7A4)","cot":[{"info":"⨵≀≌⪎⋱⫍2B64=⪎⋱⫍-885C","layer":1},{"info":"⪎⋱⫍336C⊉≛↸⪎⋱⫍7A4=⪎⋱⫍670B","layer":1},{"info":"⪎⋱⫍-885C⪘⫢⪎⋱⫍670B=⪎⋱⫍-1","layer":0}]}
{"id":59,"expression_no_base_symbol":"(⨈⫕$1824$)-(⊥$1146$)","expression":"(⨈⫕⪎⋱⫍AA4)-(⊥⪎⋱⫍6A2)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":388,"operation_count":3,"complexity_ratio":129.33333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1824,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1146,"base":13}}},"used_operators":["rysDP5nf3Z","megm06wKyl","Q3PJZHRvZv"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1824","layer":2},{"info":"compute unary expreesion, input=1824, 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=1146","layer":2},{"info":"compute unary expreesion, input=1146, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍AA4)-(⊥⪎⋱⫍6A2)=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍AA4)-(⊥⪎⋱⫍6A2)","cot":[{"info":"⨈⫕⪎⋱⫍AA4=⪎⋱⫍-18","layer":1},{"info":"⊥⪎⋱⫍6A2=NaN","layer":1},{"info":"⪎⋱⫍-18-NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"⪝⪂⫅($1461$⫥∨⫟$1839$)","expression":"⪝⪂⫅(⪎⋱⫍885⫥∨⫟⪎⋱⫍AB6)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":2,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1461,"base":13},"right_expr":{"type":"numeric_atoms","value":1839,"base":13}}},"used_operators":["XTarYq4gQB","KYD54nUTWz"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=1839, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":13,"result_base":13,"text":"⪝⪂⫅(⪎⋱⫍885⫥∨⫟⪎⋱⫍AB6)=NaN","reverse_text":"NaN=⪝⪂⫅(⪎⋱⫍885⫥∨⫟⪎⋱⫍AB6)","cot":[{"info":"⪎⋱⫍885⫥∨⫟⪎⋱⫍AB6=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"+⊝⨔($4708$⋝⋈⪟$1918$)","expression":"+⊝⨔(⪎⋱⫍21B2⋝⋈⪟⪎⋱⫍B47)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4708,"base":13},"right_expr":{"type":"numeric_atoms","value":1918,"base":13}}},"used_operators":["DhbWaqg5eL","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4708","layer":2},{"info":"number node, value=1918","layer":2},{"info":"compute binary expreesion, left_input=4708, right_input=1918, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4708","layer":1},{"info":"compute unary expreesion, input=4708, 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍21B2⋝⋈⪟⪎⋱⫍B47)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍21B2⋝⋈⪟⪎⋱⫍B47)","cot":[{"info":"⪎⋱⫍21B2⋝⋈⪟⪎⋱⫍B47=⪎⋱⫍21B2","layer":1},{"info":"+⊝⨔⪎⋱⫍21B2=⪎⋱⫍901","layer":0}]}
{"id":62,"expression_no_base_symbol":"$1575$≎⊠⪸$1006$≋⫹","expression":"⪎⋱⫍942≎⊠⪸⪎⋱⫍5C5≋⫹","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":273,"operation_count":2,"complexity_ratio":136.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1575,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}},"used_operators":["N41Kp7NANJ","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-226BBC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1575, right_input=1006, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=407452","layer":1},{"info":"compute unary expreesion, input=407452, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-814904","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍942≎⊠⪸⪎⋱⫍5C5≋⫹=⪎⋱⫍-226BBC","reverse_text":"⪎⋱⫍-226BBC=⪎⋱⫍942≎⊠⪸⪎⋱⫍5C5≋⫹","cot":[{"info":"⪎⋱⫍942≎⊠⪸⪎⋱⫍5C5=⪎⋱⫍1135C6","layer":1},{"info":"⪎⋱⫍1135C6≋⫹=⪎⋱⫍-226BBC","layer":0}]}
{"id":63,"expression_no_base_symbol":"($1899$⨐⩸⫘$2986$)⨁⊸⫻","expression":"(⪎⋱⫍B31⨐⩸⫘⪎⋱⫍1489)⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1899,"base":13},"right_expr":{"type":"numeric_atoms","value":2986,"base":13}}},"used_operators":["glklzrTFfD","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1899","layer":2},{"info":"number node, value=2986","layer":2},{"info":"compute binary expreesion, left_input=1899, right_input=2986, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(⪎⋱⫍B31⨐⩸⫘⪎⋱⫍1489)⨁⊸⫻=NaN","reverse_text":"NaN=(⪎⋱⫍B31⨐⩸⫘⪎⋱⫍1489)⨁⊸⫻","cot":[{"info":"⪎⋱⫍B31⨐⩸⫘⪎⋱⫍1489=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"⊄⩳↩($3454$⪐)","expression":"⊄⩳↩(⪎⋱⫍1759⪐)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3454,"base":13}}},"used_operators":["8w2t5hMYqp","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-9582","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3454","layer":2},{"info":"compute unary expreesion, input=3454, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6908","layer":1},{"info":"compute unary expreesion, input=6908, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20724","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⪎⋱⫍1759⪐)=⪎⋱⫍-9582","reverse_text":"⪎⋱⫍-9582=⊄⩳↩(⪎⋱⫍1759⪐)","cot":[{"info":"⪎⋱⫍1759⪐=⪎⋱⫍31B5","layer":1},{"info":"⊄⩳↩⪎⋱⫍31B5=⪎⋱⫍-9582","layer":0}]}
{"id":65,"expression_no_base_symbol":"$1336$↬$5641$⋳⪒($1685$≦≮≮)","expression":"⪎⋱⫍7BA↬⪎⋱⫍274C⋳⪒(⪎⋱⫍9C8≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1336,"base":13},"right_expr":{"type":"numeric_atoms","value":5641,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1685,"base":13}}},"used_operators":["12rbrZMWeM","B5M0gjZbta","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":2},{"info":"number node, value=5641","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=5641, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1685","layer":2},{"info":"compute unary expreesion, input=1685, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5055","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5055, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍7BA↬⪎⋱⫍274C⋳⪒(⪎⋱⫍9C8≦≮≮)=NaN","reverse_text":"NaN=⪎⋱⫍7BA↬⪎⋱⫍274C⋳⪒(⪎⋱⫍9C8≦≮≮)","cot":[{"info":"⪎⋱⫍7BA↬⪎⋱⫍274C=NaN","layer":1},{"info":"⪎⋱⫍9C8≦≮≮=⪎⋱⫍-23BB","layer":1},{"info":"NaN⋳⪒⪎⋱⫍-23BB=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"($3182$⪛$5744$)⨟⋌⩍($1465$⨵⪆$2281$)","expression":"(⪎⋱⫍15AA⪛⪎⋱⫍27CB)⨟⋌⩍(⪎⋱⫍889⨵⪆⪎⋱⫍1066)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1155,"operation_count":3,"complexity_ratio":385.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3182,"base":13},"right_expr":{"type":"numeric_atoms","value":5744,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1465,"base":13},"right_expr":{"type":"numeric_atoms","value":2281,"base":13}}},"used_operators":["rGHVDoGpnC","uFcxV4UQCh","2DQ55sFlQl"],"dependent_operators":["Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3182","layer":2},{"info":"number node, value=5744","layer":2},{"info":"compute binary expreesion, left_input=3182, right_input=5744, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3182","layer":1},{"info":"number node, value=1465","layer":2},{"info":"number node, value=2281","layer":2},{"info":"compute binary expreesion, left_input=1465, right_input=2281, 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=3182, 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍15AA⪛⪎⋱⫍27CB)⨟⋌⩍(⪎⋱⫍889⨵⪆⪎⋱⫍1066)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍15AA⪛⪎⋱⫍27CB)⨟⋌⩍(⪎⋱⫍889⨵⪆⪎⋱⫍1066)","cot":[{"info":"⪎⋱⫍15AA⪛⪎⋱⫍27CB=⪎⋱⫍15AA","layer":1},{"info":"⪎⋱⫍889⨵⪆⪎⋱⫍1066=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍15AA⨟⋌⩍⪎⋱⫍C4=⪎⋱⫍0","layer":0}]}
{"id":67,"expression_no_base_symbol":"⊄⩳↩($1078$⨓$6357$)","expression":"⊄⩳↩(⪎⋱⫍64C⨓⪎⋱⫍2B80)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6366,"operation_count":2,"complexity_ratio":3183.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1078,"base":13},"right_expr":{"type":"numeric_atoms","value":6357,"base":13}}},"used_operators":["8w2t5hMYqp","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍88B9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":2},{"info":"number node, value=6357","layer":2},{"info":"compute binary expreesion, left_input=1078, right_input=6357, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6360","layer":1},{"info":"compute unary expreesion, input=-6360, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=19080","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⪎⋱⫍64C⨓⪎⋱⫍2B80)=⪎⋱⫍88B9","reverse_text":"⪎⋱⫍88B9=⊄⩳↩(⪎⋱⫍64C⨓⪎⋱⫍2B80)","cot":[{"info":"⪎⋱⫍64C⨓⪎⋱⫍2B80=⪎⋱⫍-2B83","layer":1},{"info":"⊄⩳↩⪎⋱⫍-2B83=⪎⋱⫍88B9","layer":0}]}
{"id":68,"expression_no_base_symbol":"($1571$⫡⨏$1660$)⊪","expression":"(⪎⋱⫍93B⫡⨏⪎⋱⫍9A9)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":2,"complexity_ratio":20.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1571,"base":13},"right_expr":{"type":"numeric_atoms","value":1660,"base":13}}},"used_operators":["zVYPLywUTj","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1571","layer":2},{"info":"number node, value=1660","layer":2},{"info":"compute binary expreesion, left_input=1571, right_input=1660, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11958","layer":1},{"info":"compute unary expreesion, input=11958, 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":13,"result_base":13,"text":"(⪎⋱⫍93B⫡⨏⪎⋱⫍9A9)⊪=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍93B⫡⨏⪎⋱⫍9A9)⊪","cot":[{"info":"⪎⋱⫍93B⫡⨏⪎⋱⫍9A9=⪎⋱⫍559B","layer":1},{"info":"⪎⋱⫍559B⊪=⪎⋱⫍0","layer":0}]}
{"id":69,"expression_no_base_symbol":"($1266$⊉≛↸$2220$)⨪↰⇹($1201$∲⫓$1263$)","expression":"(⪎⋱⫍765⊉≛↸⪎⋱⫍101A)⨪↰⇹(⪎⋱⫍715∲⫓⪎⋱⫍762)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2536,"operation_count":3,"complexity_ratio":845.3333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1266,"base":13},"right_expr":{"type":"numeric_atoms","value":2220,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1201,"base":13},"right_expr":{"type":"numeric_atoms","value":1263,"base":13}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","i8ToyICDmI"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍11CA","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1266","layer":2},{"info":"number node, value=2220","layer":2},{"info":"compute binary expreesion, left_input=1266, right_input=2220, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2532","layer":1},{"info":"number node, value=1201","layer":2},{"info":"number node, value=1263","layer":2},{"info":"compute binary expreesion, left_input=1201, right_input=1263, 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=2532, 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=2532","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍765⊉≛↸⪎⋱⫍101A)⨪↰⇹(⪎⋱⫍715∲⫓⪎⋱⫍762)=⪎⋱⫍11CA","reverse_text":"⪎⋱⫍11CA=(⪎⋱⫍765⊉≛↸⪎⋱⫍101A)⨪↰⇹(⪎⋱⫍715∲⫓⪎⋱⫍762)","cot":[{"info":"⪎⋱⫍765⊉≛↸⪎⋱⫍101A=⪎⋱⫍11CA","layer":1},{"info":"⪎⋱⫍715∲⫓⪎⋱⫍762=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍11CA⨪↰⇹⪎⋱⫍0=⪎⋱⫍11CA","layer":0}]}
{"id":70,"expression_no_base_symbol":"($1335$⨐⩸⫘$1092$)⪘⫢(⇁⨣⪵$2190$)","expression":"(⪎⋱⫍7B9⨐⩸⫘⪎⋱⫍660)⪘⫢(⇁⨣⪵⪎⋱⫍CC6)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1335,"base":13},"right_expr":{"type":"numeric_atoms","value":1092,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2190,"base":13}}},"used_operators":["oacrs7FA3X","fu6greOZ01","inkyxCbjAn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1335","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=1335, right_input=1092, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2190","layer":2},{"info":"compute unary expreesion, input=2190, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍7B9⨐⩸⫘⪎⋱⫍660)⪘⫢(⇁⨣⪵⪎⋱⫍CC6)=NaN","reverse_text":"NaN=(⪎⋱⫍7B9⨐⩸⫘⪎⋱⫍660)⪘⫢(⇁⨣⪵⪎⋱⫍CC6)","cot":[{"info":"⪎⋱⫍7B9⨐⩸⫘⪎⋱⫍660=NaN","layer":1},{"info":"⇁⨣⪵⪎⋱⫍CC6=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(-$2649$)⪛($6660$⇼⇔∾$4567$)","expression":"(-⪎⋱⫍128A)⪛(⪎⋱⫍3054⇼⇔∾⪎⋱⫍2104)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2649,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6660,"base":13},"right_expr":{"type":"numeric_atoms","value":4567,"base":13}}},"used_operators":["uFcxV4UQCh","t8gj7n24qd","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-33A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":2},{"info":"compute unary expreesion, input=2649, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2649","layer":1},{"info":"number node, value=6660","layer":2},{"info":"number node, value=4567","layer":2},{"info":"compute binary expreesion, left_input=6660, right_input=4567, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2093","layer":1},{"info":"compute binary expreesion, left_input=-2649, right_input=-2093, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-556","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍128A)⪛(⪎⋱⫍3054⇼⇔∾⪎⋱⫍2104)=⪎⋱⫍-33A","reverse_text":"⪎⋱⫍-33A=(-⪎⋱⫍128A)⪛(⪎⋱⫍3054⇼⇔∾⪎⋱⫍2104)","cot":[{"info":"-⪎⋱⫍128A=⪎⋱⫍-128A","layer":1},{"info":"⪎⋱⫍3054⇼⇔∾⪎⋱⫍2104=⪎⋱⫍-C50","layer":1},{"info":"⪎⋱⫍-128A⪛⪎⋱⫍-C50=⪎⋱⫍-33A","layer":0}]}
{"id":72,"expression_no_base_symbol":"(↽≂$3522$)⇼⇔∾(⨰⫟⨤$2591$)","expression":"(↽≂⪎⋱⫍17AC)⇼⇔∾(⨰⫟⨤⪎⋱⫍1244)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9529,"operation_count":3,"complexity_ratio":3176.3333333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3522,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2591,"base":13}}},"used_operators":["tifHPKVTfV","u6S6b8DprG","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3522","layer":2},{"info":"compute unary expreesion, input=3522, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7044","layer":1},{"info":"number node, value=2591","layer":2},{"info":"compute unary expreesion, input=2591, 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=-7044, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍17AC)⇼⇔∾(⨰⫟⨤⪎⋱⫍1244)=NaN","reverse_text":"NaN=(↽≂⪎⋱⫍17AC)⇼⇔∾(⨰⫟⨤⪎⋱⫍1244)","cot":[{"info":"↽≂⪎⋱⫍17AC=⪎⋱⫍-328B","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1244=NaN","layer":1},{"info":"⪎⋱⫍-328B⇼⇔∾NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"($7514$⪨≂$2136$)⩚⊴⇥(⨑⩽⪐$2518$)","expression":"(⪎⋱⫍3560⪨≂⪎⋱⫍C84)⩚⊴⇥(⨑⩽⪐⪎⋱⫍11B9)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7514,"base":13},"right_expr":{"type":"numeric_atoms","value":2136,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2518,"base":13}}},"used_operators":["NTOWxs364D","sdazOOVcIp","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-3C8B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7514","layer":2},{"info":"number node, value=2136","layer":2},{"info":"compute binary expreesion, left_input=7514, right_input=2136, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10858","layer":1},{"info":"number node, value=2518","layer":2},{"info":"compute unary expreesion, input=2518, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2245","layer":1},{"info":"compute binary expreesion, left_input=10858, right_input=-2245, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8734","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3560⪨≂⪎⋱⫍C84)⩚⊴⇥(⨑⩽⪐⪎⋱⫍11B9)=⪎⋱⫍-3C8B","reverse_text":"⪎⋱⫍-3C8B=(⪎⋱⫍3560⪨≂⪎⋱⫍C84)⩚⊴⇥(⨑⩽⪐⪎⋱⫍11B9)","cot":[{"info":"⪎⋱⫍3560⪨≂⪎⋱⫍C84=⪎⋱⫍4C33","layer":1},{"info":"⨑⩽⪐⪎⋱⫍11B9=⪎⋱⫍-1039","layer":1},{"info":"⪎⋱⫍4C33⩚⊴⇥⪎⋱⫍-1039=⪎⋱⫍-3C8B","layer":0}]}
{"id":74,"expression_no_base_symbol":"$2126$⨽$1487$⊭↱$1821$⪢$5090$","expression":"⪎⋱⫍C77⨽⪎⋱⫍8A5⊭↱⪎⋱⫍AA1⪢⪎⋱⫍2417","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7231,"operation_count":3,"complexity_ratio":2410.3333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2126,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1821,"base":13},"right_expr":{"type":"numeric_atoms","value":5090,"base":13}}},"used_operators":["COABgblf1C","8HhzD0ZcuI","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":2},{"info":"number node, value=1487","layer":2},{"info":"compute binary expreesion, left_input=2126, right_input=1487, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13562775","layer":1},{"info":"number node, value=1821","layer":2},{"info":"number node, value=5090","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=5090, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-13562775, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍C77⨽⪎⋱⫍8A5⊭↱⪎⋱⫍AA1⪢⪎⋱⫍2417=NaN","reverse_text":"NaN=⪎⋱⫍C77⨽⪎⋱⫍8A5⊭↱⪎⋱⫍AA1⪢⪎⋱⫍2417","cot":[{"info":"⪎⋱⫍C77⨽⪎⋱⫍8A5=⪎⋱⫍-2A6B415","layer":1},{"info":"⪎⋱⫍AA1⪢⪎⋱⫍2417=NaN","layer":1},{"info":"⪎⋱⫍-2A6B415⊭↱NaN=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"$2585$⫸⊐$7111$⪒(≉$1259$)","expression":"⪎⋱⫍123B⫸⊐⪎⋱⫍3310⪒(≉⪎⋱⫍75B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2585,"base":13},"right_expr":{"type":"numeric_atoms","value":7111,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1259,"base":13}}},"used_operators":["f6k1SAg4EE","mqXw5SEYmG","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-10921","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":2},{"info":"number node, value=7111","layer":2},{"info":"compute binary expreesion, left_input=2585, right_input=7111, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28319","layer":1},{"info":"number node, value=1259","layer":2},{"info":"compute unary expreesion, input=1259, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1790","layer":1},{"info":"compute binary expreesion, left_input=28319, right_input=1790, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-30109","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍123B⫸⊐⪎⋱⫍3310⪒(≉⪎⋱⫍75B)=⪎⋱⫍-10921","reverse_text":"⪎⋱⫍-10921=⪎⋱⫍123B⫸⊐⪎⋱⫍3310⪒(≉⪎⋱⫍75B)","cot":[{"info":"⪎⋱⫍123B⫸⊐⪎⋱⫍3310=⪎⋱⫍CB75","layer":1},{"info":"≉⪎⋱⫍75B=⪎⋱⫍A79","layer":1},{"info":"⪎⋱⫍CB75⪒⪎⋱⫍A79=⪎⋱⫍-10921","layer":0}]}
{"id":76,"expression_no_base_symbol":"⊥$1587$⨟⋌⩍$4495$","expression":"⊥⪎⋱⫍951⨟⋌⩍⪎⋱⫍207A","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1587,"base":13},"right_expr":{"type":"numeric_atoms","value":4495,"base":13}}},"used_operators":["Q3PJZHRvZv","rGHVDoGpnC"],"dependent_operators":["fu6greOZ01","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1587","layer":2},{"info":"number node, value=4495","layer":2},{"info":"compute binary expreesion, left_input=1587, right_input=4495, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"⊥⪎⋱⫍951⨟⋌⩍⪎⋱⫍207A=NaN","reverse_text":"NaN=⊥⪎⋱⫍951⨟⋌⩍⪎⋱⫍207A","cot":[{"info":"⪎⋱⫍951⨟⋌⩍⪎⋱⫍207A=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":77,"expression_no_base_symbol":"(⨈⫕$7019$)⫡⨏$1319$⨰$3040$","expression":"(⨈⫕⪎⋱⫍326C)⫡⨏⪎⋱⫍7A6⨰⪎⋱⫍14CB","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":399,"operation_count":3,"complexity_ratio":133.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7019,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1319,"base":13},"right_expr":{"type":"numeric_atoms","value":3040,"base":13}}},"used_operators":["QMFrweE19q","megm06wKyl","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1331","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7019","layer":2},{"info":"compute unary expreesion, input=7019, 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=1319","layer":2},{"info":"number node, value=3040","layer":2},{"info":"compute binary expreesion, left_input=1319, right_input=3040, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1711","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1711, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2744","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍326C)⫡⨏⪎⋱⫍7A6⨰⪎⋱⫍14CB=⪎⋱⫍-1331","reverse_text":"⪎⋱⫍-1331=(⨈⫕⪎⋱⫍326C)⫡⨏⪎⋱⫍7A6⨰⪎⋱⫍14CB","cot":[{"info":"⨈⫕⪎⋱⫍326C=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍7A6⨰⪎⋱⫍14CB=⪎⋱⫍-A18","layer":1},{"info":"⪎⋱⫍-18⫡⨏⪎⋱⫍-A18=⪎⋱⫍-1331","layer":0}]}
{"id":78,"expression_no_base_symbol":"≤/$2672$⩚⊴⇥$3529$","expression":"≤/⪎⋱⫍12A7⩚⊴⇥⪎⋱⫍17B6","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2672,"base":13},"right_expr":{"type":"numeric_atoms","value":3529,"base":13}}},"used_operators":["eLAdDNolq6","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍3137","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":2},{"info":"number node, value=3529","layer":2},{"info":"compute binary expreesion, left_input=2672, right_input=3529, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6322","layer":1},{"info":"compute unary expreesion, input=-6322, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=6806","layer":0}],"base":13,"result_base":13,"text":"≤/⪎⋱⫍12A7⩚⊴⇥⪎⋱⫍17B6=⪎⋱⫍3137","reverse_text":"⪎⋱⫍3137=≤/⪎⋱⫍12A7⩚⊴⇥⪎⋱⫍17B6","cot":[{"info":"⪎⋱⫍12A7⩚⊴⇥⪎⋱⫍17B6=⪎⋱⫍-2B54","layer":1},{"info":"≤/⪎⋱⫍-2B54=⪎⋱⫍3137","layer":0}]}
{"id":79,"expression_no_base_symbol":"($3315$⊘)⫥∨⫟($1159$⪐)","expression":"(⪎⋱⫍1680⊘)⫥∨⫟(⪎⋱⫍6B2⪐)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":175,"operation_count":3,"complexity_ratio":58.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3315,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1159,"base":13}}},"used_operators":["KYD54nUTWz","gu96TGCTMs","eH2TOUuTDT"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3315","layer":2},{"info":"compute unary expreesion, input=3315, 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=1159","layer":2},{"info":"compute unary expreesion, input=1159, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2318","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2318, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1680⊘)⫥∨⫟(⪎⋱⫍6B2⪐)=NaN","reverse_text":"NaN=(⪎⋱⫍1680⊘)⫥∨⫟(⪎⋱⫍6B2⪐)","cot":[{"info":"⪎⋱⫍1680⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍6B2⪐=⪎⋱⫍1094","layer":1},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍1094=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"$1017$+⇶⊼$9216$⫸⊐($1872$⨁⊸⫻)","expression":"⪎⋱⫍603+⇶⊼⪎⋱⫍426C⫸⊐(⪎⋱⫍B10⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1017,"base":13},"right_expr":{"type":"numeric_atoms","value":9216,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1872,"base":13}}},"used_operators":["mqXw5SEYmG","TpPTUOHfaN","glklzrTFfD"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1017","layer":2},{"info":"number node, value=9216","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=9216, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1872","layer":2},{"info":"compute unary expreesion, input=1872, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1872, 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":13,"result_base":13,"text":"⪎⋱⫍603+⇶⊼⪎⋱⫍426C⫸⊐(⪎⋱⫍B10⨁⊸⫻)=NaN","reverse_text":"NaN=⪎⋱⫍603+⇶⊼⪎⋱⫍426C⫸⊐(⪎⋱⫍B10⨁⊸⫻)","cot":[{"info":"⪎⋱⫍603+⇶⊼⪎⋱⫍426C=NaN","layer":1},{"info":"⪎⋱⫍B10⨁⊸⫻=⪎⋱⫍B10","layer":1},{"info":"NaN⫸⊐⪎⋱⫍B10=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"($4034$⫡⨏$1028$)≭(⨞⊢$5544$)","expression":"(⪎⋱⫍1AB4⫡⨏⪎⋱⫍611)≭(⨞⊢⪎⋱⫍26A6)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4034,"base":13},"right_expr":{"type":"numeric_atoms","value":1028,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5544,"base":13}}},"used_operators":["rxpJgHHUmx","QMFrweE19q","xUOZtlo3hN"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4034","layer":2},{"info":"number node, value=1028","layer":2},{"info":"compute binary expreesion, left_input=4034, right_input=1028, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23009","layer":1},{"info":"number node, value=5544","layer":2},{"info":"compute unary expreesion, input=5544, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5718","layer":1},{"info":"compute binary expreesion, left_input=23009, right_input=-5718, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍1AB4⫡⨏⪎⋱⫍611)≭(⨞⊢⪎⋱⫍26A6)=NaN","reverse_text":"NaN=(⪎⋱⫍1AB4⫡⨏⪎⋱⫍611)≭(⨞⊢⪎⋱⫍26A6)","cot":[{"info":"⪎⋱⫍1AB4⫡⨏⪎⋱⫍611=⪎⋱⫍A61C","layer":1},{"info":"⨞⊢⪎⋱⫍26A6=⪎⋱⫍-27AB","layer":1},{"info":"⪎⋱⫍A61C≭⪎⋱⫍-27AB=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"$2590$∑⇟⊟$2645$*$4748$∑⇟⊟$6810$","expression":"⪎⋱⫍1243∑⇟⊟⪎⋱⫍1286*⪎⋱⫍2213∑⇟⊟⪎⋱⫍313B","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2590,"base":13},"right_expr":{"type":"numeric_atoms","value":2645,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4748,"base":13},"right_expr":{"type":"numeric_atoms","value":6810,"base":13}}},"used_operators":["9HNa5Wba9A","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2590","layer":2},{"info":"number node, value=2645","layer":2},{"info":"compute binary expreesion, left_input=2590, right_input=2645, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4748","layer":2},{"info":"number node, value=6810","layer":2},{"info":"compute binary expreesion, left_input=4748, right_input=6810, 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":13,"result_base":13,"text":"⪎⋱⫍1243∑⇟⊟⪎⋱⫍1286*⪎⋱⫍2213∑⇟⊟⪎⋱⫍313B=NaN","reverse_text":"NaN=⪎⋱⫍1243∑⇟⊟⪎⋱⫍1286*⪎⋱⫍2213∑⇟⊟⪎⋱⫍313B","cot":[{"info":"⪎⋱⫍1243∑⇟⊟⪎⋱⫍1286=NaN","layer":1},{"info":"⪎⋱⫍2213∑⇟⊟⪎⋱⫍313B=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"($1901$⨽$3203$)∼($1746$∀⇚≩$1691$)","expression":"(⪎⋱⫍B33⨽⪎⋱⫍15C5)∼(⪎⋱⫍A44∀⇚≩⪎⋱⫍A01)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":226873,"operation_count":3,"complexity_ratio":75624.33333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1901,"base":13},"right_expr":{"type":"numeric_atoms","value":3203,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1746,"base":13},"right_expr":{"type":"numeric_atoms","value":1691,"base":13}}},"used_operators":["DyGG3AbaNP","8HhzD0ZcuI","LRNGc0VcxI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":2},{"info":"number node, value=3203","layer":2},{"info":"compute binary expreesion, left_input=1901, right_input=3203, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10849698","layer":1},{"info":"number node, value=1746","layer":2},{"info":"number node, value=1691","layer":2},{"info":"compute binary expreesion, left_input=1746, right_input=1691, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-10849698, 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":13,"result_base":13,"text":"(⪎⋱⫍B33⨽⪎⋱⫍15C5)∼(⪎⋱⫍A44∀⇚≩⪎⋱⫍A01)=NaN","reverse_text":"NaN=(⪎⋱⫍B33⨽⪎⋱⫍15C5)∼(⪎⋱⫍A44∀⇚≩⪎⋱⫍A01)","cot":[{"info":"⪎⋱⫍B33⨽⪎⋱⫍15C5=⪎⋱⫍-232B552","layer":1},{"info":"⪎⋱⫍A44∀⇚≩⪎⋱⫍A01=NaN","layer":1},{"info":"⪎⋱⫍-232B552∼NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"$2481$⪢$4026$⫡⨏($2708$⨁⊸⫻)","expression":"⪎⋱⫍118B⪢⪎⋱⫍1AA9⫡⨏(⪎⋱⫍1304⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4034,"operation_count":3,"complexity_ratio":1344.6666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2481,"base":13},"right_expr":{"type":"numeric_atoms","value":4026,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2708,"base":13}}},"used_operators":["QMFrweE19q","dWAJyo7jo9","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2481","layer":2},{"info":"number node, value=4026","layer":2},{"info":"compute binary expreesion, left_input=2481, right_input=4026, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2708","layer":2},{"info":"compute unary expreesion, input=2708, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2708","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2708, op_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":13,"result_base":13,"text":"⪎⋱⫍118B⪢⪎⋱⫍1AA9⫡⨏(⪎⋱⫍1304⨁⊸⫻)=NaN","reverse_text":"NaN=⪎⋱⫍118B⪢⪎⋱⫍1AA9⫡⨏(⪎⋱⫍1304⨁⊸⫻)","cot":[{"info":"⪎⋱⫍118B⪢⪎⋱⫍1AA9=NaN","layer":1},{"info":"⪎⋱⫍1304⨁⊸⫻=⪎⋱⫍1304","layer":1},{"info":"NaN⫡⨏⪎⋱⫍1304=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"∥⊫$2384$↙$1609$","expression":"∥⊫⪎⋱⫍1115↙⪎⋱⫍96A","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1615,"operation_count":2,"complexity_ratio":807.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2384,"base":13},"right_expr":{"type":"numeric_atoms","value":1609,"base":13}}},"used_operators":["P8v4zCKN1o","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2384","layer":2},{"info":"number node, value=1609","layer":2},{"info":"compute binary expreesion, left_input=2384, right_input=1609, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4827","layer":1},{"info":"compute unary expreesion, input=-4827, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫⪎⋱⫍1115↙⪎⋱⫍96A=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫⪎⋱⫍1115↙⪎⋱⫍96A","cot":[{"info":"⪎⋱⫍1115↙⪎⋱⫍96A=⪎⋱⫍-2274","layer":1},{"info":"∥⊫⪎⋱⫍-2274=⪎⋱⫍-43","layer":0}]}
{"id":86,"expression_no_base_symbol":"($2838$∲⫓$2200$)⨁⊸⫻","expression":"(⪎⋱⫍13A4∲⫓⪎⋱⫍1003)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2838,"base":13},"right_expr":{"type":"numeric_atoms","value":2200,"base":13}}},"used_operators":["glklzrTFfD","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2838","layer":2},{"info":"number node, value=2200","layer":2},{"info":"compute binary expreesion, left_input=2838, right_input=2200, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍13A4∲⫓⪎⋱⫍1003)⨁⊸⫻=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍13A4∲⫓⪎⋱⫍1003)⨁⊸⫻","cot":[{"info":"⪎⋱⫍13A4∲⫓⪎⋱⫍1003=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⨁⊸⫻=⪎⋱⫍0","layer":0}]}
{"id":87,"expression_no_base_symbol":"$2317$*$1562$∲⫓$4800$⩨$2513$","expression":"⪎⋱⫍1093*⪎⋱⫍932∲⫓⪎⋱⫍2253⩨⪎⋱⫍11B4","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1567,"operation_count":3,"complexity_ratio":522.3333333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2317,"base":13},"right_expr":{"type":"numeric_atoms","value":1562,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4800,"base":13},"right_expr":{"type":"numeric_atoms","value":2513,"base":13}}},"used_operators":["i8ToyICDmI","9HNa5Wba9A","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍999416","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2317","layer":2},{"info":"number node, value=1562","layer":2},{"info":"compute binary expreesion, left_input=2317, right_input=1562, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3619154","layer":1},{"info":"number node, value=4800","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=4800, right_input=2513, 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=3619154, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3619154","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1093*⪎⋱⫍932∲⫓⪎⋱⫍2253⩨⪎⋱⫍11B4=⪎⋱⫍999416","reverse_text":"⪎⋱⫍999416=⪎⋱⫍1093*⪎⋱⫍932∲⫓⪎⋱⫍2253⩨⪎⋱⫍11B4","cot":[{"info":"⪎⋱⫍1093*⪎⋱⫍932=⪎⋱⫍999416","layer":1},{"info":"⪎⋱⫍2253⩨⪎⋱⫍11B4=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍999416∲⫓⪎⋱⫍0=⪎⋱⫍999416","layer":0}]}
{"id":88,"expression_no_base_symbol":"$5090$⊴$4454$%$2299$⪄$7429$","expression":"⪎⋱⫍2417⊴⪎⋱⫍2048%⪎⋱⫍107B⪄⪎⋱⫍34C6","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7107,"operation_count":3,"complexity_ratio":2369.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5090,"base":13},"right_expr":{"type":"numeric_atoms","value":4454,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2299,"base":13},"right_expr":{"type":"numeric_atoms","value":7429,"base":13}}},"used_operators":["k8jYdgA6NY","Nsiff2A1zJ","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5090","layer":2},{"info":"number node, value=4454","layer":2},{"info":"compute binary expreesion, left_input=5090, right_input=4454, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2299","layer":2},{"info":"number node, value=7429","layer":2},{"info":"compute binary expreesion, left_input=2299, right_input=7429, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-366057","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-366057, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2417⊴⪎⋱⫍2048%⪎⋱⫍107B⪄⪎⋱⫍34C6=NaN","reverse_text":"NaN=⪎⋱⫍2417⊴⪎⋱⫍2048%⪎⋱⫍107B⪄⪎⋱⫍34C6","cot":[{"info":"⪎⋱⫍2417⊴⪎⋱⫍2048=NaN","layer":1},{"info":"⪎⋱⫍107B⪄⪎⋱⫍34C6=⪎⋱⫍-CA803","layer":1},{"info":"NaN%⪎⋱⫍-CA803=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"$1086$≹⇙⪍$1039$⪛(⨵≀≌$1243$)","expression":"⪎⋱⫍657≹⇙⪍⪎⋱⫍61C⪛(⨵≀≌⪎⋱⫍748)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1086,"base":13},"right_expr":{"type":"numeric_atoms","value":1039,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1243,"base":13}}},"used_operators":["uFcxV4UQCh","AHs5Up7iyr","srAu1WTS94"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":2},{"info":"number node, value=1039","layer":2},{"info":"compute binary expreesion, left_input=1086, right_input=1039, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1243","layer":2},{"info":"compute unary expreesion, input=1243, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3729","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3729, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍657≹⇙⪍⪎⋱⫍61C⪛(⨵≀≌⪎⋱⫍748)=NaN","reverse_text":"NaN=⪎⋱⫍657≹⇙⪍⪎⋱⫍61C⪛(⨵≀≌⪎⋱⫍748)","cot":[{"info":"⪎⋱⫍657≹⇙⪍⪎⋱⫍61C=NaN","layer":1},{"info":"⨵≀≌⪎⋱⫍748=⪎⋱⫍-190B","layer":1},{"info":"NaN⪛⪎⋱⫍-190B=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"(⊙↵-$1709$)⋥≓≎$4263$⋝⋈⪟$3032$","expression":"(⊙↵-⪎⋱⫍A16)⋥≓≎⪎⋱⫍1C2C⋝⋈⪟⪎⋱⫍14C3","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1762,"operation_count":3,"complexity_ratio":587.3333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1709,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4263,"base":13},"right_expr":{"type":"numeric_atoms","value":3032,"base":13}}},"used_operators":["Qy55tPpLXF","oWn0xqSxBt","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3B86","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1709","layer":2},{"info":"compute unary expreesion, input=1709, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4263","layer":2},{"info":"number node, value=3032","layer":2},{"info":"compute binary expreesion, left_input=4263, right_input=3032, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4263","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=4263, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8560","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-⪎⋱⫍A16)⋥≓≎⪎⋱⫍1C2C⋝⋈⪟⪎⋱⫍14C3=⪎⋱⫍3B86","reverse_text":"⪎⋱⫍3B86=(⊙↵-⪎⋱⫍A16)⋥≓≎⪎⋱⫍1C2C⋝⋈⪟⪎⋱⫍14C3","cot":[{"info":"⊙↵-⪎⋱⫍A16=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍1C2C⋝⋈⪟⪎⋱⫍14C3=⪎⋱⫍1C2C","layer":1},{"info":"⪎⋱⫍-1⋥≓≎⪎⋱⫍1C2C=⪎⋱⫍3B86","layer":0}]}
{"id":91,"expression_no_base_symbol":"($3333$∲⫓$8376$)⊉≛↸$6396$⫸⊐$5573$","expression":"(⪎⋱⫍1695∲⫓⪎⋱⫍3A74)⊉≛↸⪎⋱⫍2BB0⫸⊐⪎⋱⫍26C9","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3333,"base":13},"right_expr":{"type":"numeric_atoms","value":8376,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6396,"base":13},"right_expr":{"type":"numeric_atoms","value":5573,"base":13}}},"used_operators":["DZ8iAZOCBD","i8ToyICDmI","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3333","layer":2},{"info":"number node, value=8376","layer":2},{"info":"compute binary expreesion, left_input=3333, right_input=8376, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6396","layer":2},{"info":"number node, value=5573","layer":2},{"info":"compute binary expreesion, left_input=6396, right_input=5573, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22167","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=22167, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1695∲⫓⪎⋱⫍3A74)⊉≛↸⪎⋱⫍2BB0⫸⊐⪎⋱⫍26C9=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1695∲⫓⪎⋱⫍3A74)⊉≛↸⪎⋱⫍2BB0⫸⊐⪎⋱⫍26C9","cot":[{"info":"⪎⋱⫍1695∲⫓⪎⋱⫍3A74=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2BB0⫸⊐⪎⋱⫍26C9=⪎⋱⫍A122","layer":1},{"info":"⪎⋱⫍0⊉≛↸⪎⋱⫍A122=⪎⋱⫍0","layer":0}]}
{"id":92,"expression_no_base_symbol":"$5375$↬$3019$⩚⊴⇥$2366$⨰$8130$","expression":"⪎⋱⫍25A6↬⪎⋱⫍14B3⩚⊴⇥⪎⋱⫍1100⨰⪎⋱⫍3915","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5375,"base":13},"right_expr":{"type":"numeric_atoms","value":3019,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2366,"base":13},"right_expr":{"type":"numeric_atoms","value":8130,"base":13}}},"used_operators":["NTOWxs364D","B5M0gjZbta","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5375","layer":2},{"info":"number node, value=3019","layer":2},{"info":"compute binary expreesion, left_input=5375, right_input=3019, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2366","layer":2},{"info":"number node, value=8130","layer":2},{"info":"compute binary expreesion, left_input=2366, right_input=8130, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5754","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5754, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍25A6↬⪎⋱⫍14B3⩚⊴⇥⪎⋱⫍1100⨰⪎⋱⫍3915=NaN","reverse_text":"NaN=⪎⋱⫍25A6↬⪎⋱⫍14B3⩚⊴⇥⪎⋱⫍1100⨰⪎⋱⫍3915","cot":[{"info":"⪎⋱⫍25A6↬⪎⋱⫍14B3=NaN","layer":1},{"info":"⪎⋱⫍1100⨰⪎⋱⫍3915=⪎⋱⫍-2808","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍-2808=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"$3424$⪢$3458$↬(⊙↵-$7805$)","expression":"⪎⋱⫍1735⪢⪎⋱⫍1760↬(⊙↵-⪎⋱⫍3725)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11310,"operation_count":3,"complexity_ratio":3770.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3424,"base":13},"right_expr":{"type":"numeric_atoms","value":3458,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7805,"base":13}}},"used_operators":["B5M0gjZbta","dWAJyo7jo9","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3424","layer":2},{"info":"number node, value=3458","layer":2},{"info":"compute binary expreesion, left_input=3424, right_input=3458, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7805","layer":2},{"info":"compute unary expreesion, input=7805, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"⪎⋱⫍1735⪢⪎⋱⫍1760↬(⊙↵-⪎⋱⫍3725)=NaN","reverse_text":"NaN=⪎⋱⫍1735⪢⪎⋱⫍1760↬(⊙↵-⪎⋱⫍3725)","cot":[{"info":"⪎⋱⫍1735⪢⪎⋱⫍1760=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍3725=⪎⋱⫍-1","layer":1},{"info":"NaN↬⪎⋱⫍-1=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"$1903$≹⇙⪍$3379$⋥≓≎$1680$⨎$1263$","expression":"⪎⋱⫍B35≹⇙⪍⪎⋱⫍16CC⋥≓≎⪎⋱⫍9C3⨎⪎⋱⫍762","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1903,"base":13},"right_expr":{"type":"numeric_atoms","value":3379,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1680,"base":13},"right_expr":{"type":"numeric_atoms","value":1263,"base":13}}},"used_operators":["Qy55tPpLXF","AHs5Up7iyr","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1903","layer":2},{"info":"number node, value=3379","layer":2},{"info":"compute binary expreesion, left_input=1903, right_input=3379, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1680","layer":2},{"info":"number node, value=1263","layer":2},{"info":"compute binary expreesion, left_input=1680, right_input=1263, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1263","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1263, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍B35≹⇙⪍⪎⋱⫍16CC⋥≓≎⪎⋱⫍9C3⨎⪎⋱⫍762=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍B35≹⇙⪍⪎⋱⫍16CC⋥≓≎⪎⋱⫍9C3⨎⪎⋱⫍762","cot":[{"info":"⪎⋱⫍B35≹⇙⪍⪎⋱⫍16CC=NaN","layer":1},{"info":"⪎⋱⫍9C3⨎⪎⋱⫍762=⪎⋱⫍762","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍762=⪎⋱⫍52","layer":0}]}
{"id":95,"expression_no_base_symbol":"($5913$↙$3182$)⨎($2275$⪄$2349$)","expression":"(⪎⋱⫍28CB↙⪎⋱⫍15AA)⨎(⪎⋱⫍1060⪄⪎⋱⫍10B9)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3281,"operation_count":3,"complexity_ratio":1093.6666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5913,"base":13},"right_expr":{"type":"numeric_atoms","value":3182,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2275,"base":13},"right_expr":{"type":"numeric_atoms","value":2349,"base":13}}},"used_operators":["rJVOvQCfKK","yyfyN0ffXY","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍-BC99C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5913","layer":2},{"info":"number node, value=3182","layer":2},{"info":"compute binary expreesion, left_input=5913, right_input=3182, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9546","layer":1},{"info":"number node, value=2275","layer":2},{"info":"number node, value=2349","layer":2},{"info":"compute binary expreesion, left_input=2275, right_input=2349, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-342185","layer":1},{"info":"compute binary expreesion, left_input=-9546, right_input=-342185, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-342185","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍28CB↙⪎⋱⫍15AA)⨎(⪎⋱⫍1060⪄⪎⋱⫍10B9)=⪎⋱⫍-BC99C","reverse_text":"⪎⋱⫍-BC99C=(⪎⋱⫍28CB↙⪎⋱⫍15AA)⨎(⪎⋱⫍1060⪄⪎⋱⫍10B9)","cot":[{"info":"⪎⋱⫍28CB↙⪎⋱⫍15AA=⪎⋱⫍-4464","layer":1},{"info":"⪎⋱⫍1060⪄⪎⋱⫍10B9=⪎⋱⫍-BC99C","layer":1},{"info":"⪎⋱⫍-4464⨎⪎⋱⫍-BC99C=⪎⋱⫍-BC99C","layer":0}]}
{"id":96,"expression_no_base_symbol":"$2464$⪘⫢$4205$⨰$2120$⪢$3831$","expression":"⪎⋱⫍1177⪘⫢⪎⋱⫍1BB6⨰⪎⋱⫍C71⪢⪎⋱⫍1989","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3852,"operation_count":3,"complexity_ratio":1284.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2464,"base":13},"right_expr":{"type":"numeric_atoms","value":4205,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2120,"base":13},"right_expr":{"type":"numeric_atoms","value":3831,"base":13}}},"used_operators":["eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2464","layer":2},{"info":"number node, value=4205","layer":2},{"info":"compute binary expreesion, left_input=2464, right_input=4205, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4804","layer":1},{"info":"number node, value=2120","layer":2},{"info":"number node, value=3831","layer":2},{"info":"compute binary expreesion, left_input=2120, right_input=3831, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4804, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1177⪘⫢⪎⋱⫍1BB6⨰⪎⋱⫍C71⪢⪎⋱⫍1989=NaN","reverse_text":"NaN=⪎⋱⫍1177⪘⫢⪎⋱⫍1BB6⨰⪎⋱⫍C71⪢⪎⋱⫍1989","cot":[{"info":"⪎⋱⫍1177⪘⫢⪎⋱⫍1BB6=⪎⋱⫍2257","layer":1},{"info":"⪎⋱⫍C71⪢⪎⋱⫍1989=NaN","layer":1},{"info":"⪎⋱⫍2257⨰NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(∂$6165$)≭(⨈⫕$1776$)","expression":"(∂⪎⋱⫍2A63)≭(⨈⫕⪎⋱⫍A68)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":891,"operation_count":3,"complexity_ratio":297.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6165,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1776,"base":13}}},"used_operators":["rxpJgHHUmx","Uaa54Peajs","megm06wKyl"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6165","layer":2},{"info":"compute unary expreesion, input=6165, 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=1776","layer":2},{"info":"compute unary expreesion, input=1776, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(∂⪎⋱⫍2A63)≭(⨈⫕⪎⋱⫍A68)=NaN","reverse_text":"NaN=(∂⪎⋱⫍2A63)≭(⨈⫕⪎⋱⫍A68)","cot":[{"info":"∂⪎⋱⫍2A63=NaN","layer":1},{"info":"⨈⫕⪎⋱⫍A68=⪎⋱⫍-18","layer":1},{"info":"NaN≭⪎⋱⫍-18=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"($2121$⨁⊸⫻)≫≃","expression":"(⪎⋱⫍C72⨁⊸⫻)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2121,"base":13}}},"used_operators":["X99M06cbEe","glklzrTFfD"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍2751","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2121","layer":2},{"info":"compute unary expreesion, input=2121, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2121","layer":1},{"info":"compute unary expreesion, input=2121, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5643","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C72⨁⊸⫻)≫≃=⪎⋱⫍2751","reverse_text":"⪎⋱⫍2751=(⪎⋱⫍C72⨁⊸⫻)≫≃","cot":[{"info":"⪎⋱⫍C72⨁⊸⫻=⪎⋱⫍C72","layer":1},{"info":"⪎⋱⫍C72≫≃=⪎⋱⫍2751","layer":0}]}
{"id":99,"expression_no_base_symbol":"⊄⩳↩(⪲⇎$1997$)","expression":"⊄⩳↩(⪲⇎⪎⋱⫍BA8)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1997,"base":13}}},"used_operators":["8w2t5hMYqp","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-55B9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1997","layer":2},{"info":"compute unary expreesion, input=1997, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3994","layer":1},{"info":"compute unary expreesion, input=3994, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11982","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⪲⇎⪎⋱⫍BA8)=⪎⋱⫍-55B9","reverse_text":"⪎⋱⫍-55B9=⊄⩳↩(⪲⇎⪎⋱⫍BA8)","cot":[{"info":"⪲⇎⪎⋱⫍BA8=⪎⋱⫍1A83","layer":1},{"info":"⊄⩳↩⪎⋱⫍1A83=⪎⋱⫍-55B9","layer":0}]}
{"id":100,"expression_no_base_symbol":"($1038$∧)⨓($1514$/$7421$)","expression":"(⪎⋱⫍61B∧)⨓(⪎⋱⫍8C6/⪎⋱⫍34BB)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1038,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1514,"base":13},"right_expr":{"type":"numeric_atoms","value":7421,"base":13}}},"used_operators":["3ViojmjbAp","z63VuFQld9","XhwjNDsVaA"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1038","layer":2},{"info":"compute unary expreesion, input=1038, 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=1514","layer":2},{"info":"number node, value=7421","layer":2},{"info":"compute binary expreesion, left_input=1514, right_input=7421, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":13,"result_base":13,"text":"(⪎⋱⫍61B∧)⨓(⪎⋱⫍8C6/⪎⋱⫍34BB)=NaN","reverse_text":"NaN=(⪎⋱⫍61B∧)⨓(⪎⋱⫍8C6/⪎⋱⫍34BB)","cot":[{"info":"⪎⋱⫍61B∧=NaN","layer":1},{"info":"⪎⋱⫍8C6/⪎⋱⫍34BB=⪎⋱⫍0","layer":1},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"($1609$⋫)⋷(⊙↵-$1325$)","expression":"(⪎⋱⫍96A⋫)⋷(⊙↵-⪎⋱⫍7AC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2983,"operation_count":3,"complexity_ratio":994.3333333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1609,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1325,"base":13}}},"used_operators":["23Mk6UjR3U","JL8yIekQnl","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍-96C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":2},{"info":"compute unary expreesion, input=1609, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1609","layer":1},{"info":"number node, value=1325","layer":2},{"info":"compute unary expreesion, input=1325, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=1609, right_input=-1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1611","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍96A⋫)⋷(⊙↵-⪎⋱⫍7AC)=⪎⋱⫍-96C","reverse_text":"⪎⋱⫍-96C=(⪎⋱⫍96A⋫)⋷(⊙↵-⪎⋱⫍7AC)","cot":[{"info":"⪎⋱⫍96A⋫=⪎⋱⫍96A","layer":1},{"info":"⊙↵-⪎⋱⫍7AC=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍96A⋷⪎⋱⫍-1=⪎⋱⫍-96C","layer":0}]}
{"id":102,"expression_no_base_symbol":"($1146$⪨≂$3804$)⪘⫢(⨰⫟⨤$2372$)","expression":"(⪎⋱⫍6A2⪨≂⪎⋱⫍1968)⪘⫢(⨰⫟⨤⪎⋱⫍1106)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8662,"operation_count":3,"complexity_ratio":2887.3333333333335,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1146,"base":13},"right_expr":{"type":"numeric_atoms","value":3804,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2372,"base":13}}},"used_operators":["oacrs7FA3X","sdazOOVcIp","Tw270M8GLb"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1146","layer":2},{"info":"number node, value=3804","layer":2},{"info":"compute binary expreesion, left_input=1146, right_input=3804, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5214","layer":1},{"info":"number node, value=2372","layer":2},{"info":"compute unary expreesion, input=2372, 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=-5214, 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":13,"result_base":13,"text":"(⪎⋱⫍6A2⪨≂⪎⋱⫍1968)⪘⫢(⨰⫟⨤⪎⋱⫍1106)=NaN","reverse_text":"NaN=(⪎⋱⫍6A2⪨≂⪎⋱⫍1968)⪘⫢(⨰⫟⨤⪎⋱⫍1106)","cot":[{"info":"⪎⋱⫍6A2⪨≂⪎⋱⫍1968=⪎⋱⫍-24B1","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1106=NaN","layer":1},{"info":"⪎⋱⫍-24B1⪘⫢NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"$3200$+$3323$/(⪲⇎$4173$)","expression":"⪎⋱⫍15C2+⪎⋱⫍1688/(⪲⇎⪎⋱⫍1B90)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3200,"base":13},"right_expr":{"type":"numeric_atoms","value":3323,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4173,"base":13}}},"used_operators":["XhwjNDsVaA","W4YGzv6Whe","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3200","layer":2},{"info":"number node, value=3323","layer":2},{"info":"compute binary expreesion, left_input=3200, right_input=3323, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6523","layer":1},{"info":"number node, value=4173","layer":2},{"info":"compute unary expreesion, input=4173, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8346","layer":1},{"info":"compute binary expreesion, left_input=6523, right_input=8346, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍15C2+⪎⋱⫍1688/(⪲⇎⪎⋱⫍1B90)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍15C2+⪎⋱⫍1688/(⪲⇎⪎⋱⫍1B90)","cot":[{"info":"⪎⋱⫍15C2+⪎⋱⫍1688=⪎⋱⫍2C7A","layer":1},{"info":"⪲⇎⪎⋱⫍1B90=⪎⋱⫍3A50","layer":1},{"info":"⪎⋱⫍2C7A/⪎⋱⫍3A50=⪎⋱⫍0","layer":0}]}
{"id":104,"expression_no_base_symbol":"($1763$⪒$1847$)⪮%⊝($2054$⨸⪁$2401$)","expression":"(⪎⋱⫍A58⪒⪎⋱⫍AC1)⪮%⊝(⪎⋱⫍C20⨸⪁⪎⋱⫍1129)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1763,"base":13},"right_expr":{"type":"numeric_atoms","value":1847,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2054,"base":13},"right_expr":{"type":"numeric_atoms","value":2401,"base":13}}},"used_operators":["IWmyXbctLI","f6k1SAg4EE","g55IO6H4Gj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-31B1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":2},{"info":"number node, value=1847","layer":2},{"info":"compute binary expreesion, left_input=1763, right_input=1847, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3610","layer":1},{"info":"number node, value=2054","layer":2},{"info":"number node, value=2401","layer":2},{"info":"compute binary expreesion, left_input=2054, right_input=2401, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8910","layer":1},{"info":"compute binary expreesion, left_input=-3610, right_input=8910, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6904","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A58⪒⪎⋱⫍AC1)⪮%⊝(⪎⋱⫍C20⨸⪁⪎⋱⫍1129)=⪎⋱⫍-31B1","reverse_text":"⪎⋱⫍-31B1=(⪎⋱⫍A58⪒⪎⋱⫍AC1)⪮%⊝(⪎⋱⫍C20⨸⪁⪎⋱⫍1129)","cot":[{"info":"⪎⋱⫍A58⪒⪎⋱⫍AC1=⪎⋱⫍-1849","layer":1},{"info":"⪎⋱⫍C20⨸⪁⪎⋱⫍1129=⪎⋱⫍4095","layer":1},{"info":"⪎⋱⫍-1849⪮%⊝⪎⋱⫍4095=⪎⋱⫍-31B1","layer":0}]}
{"id":105,"expression_no_base_symbol":"$2589$⪮%⊝$3628$⪒(⩦⩻⨪$3256$)","expression":"⪎⋱⫍1242⪮%⊝⪎⋱⫍1861⪒(⩦⩻⨪⪎⋱⫍1636)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2589,"base":13},"right_expr":{"type":"numeric_atoms","value":3628,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3256,"base":13}}},"used_operators":["f6k1SAg4EE","IWmyXbctLI","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-3CA1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":2},{"info":"number node, value=3628","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=3628, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5494","layer":1},{"info":"number node, value=3256","layer":2},{"info":"compute unary expreesion, input=3256, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3256","layer":1},{"info":"compute binary expreesion, left_input=5494, right_input=3256, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8750","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1242⪮%⊝⪎⋱⫍1861⪒(⩦⩻⨪⪎⋱⫍1636)=⪎⋱⫍-3CA1","reverse_text":"⪎⋱⫍-3CA1=⪎⋱⫍1242⪮%⊝⪎⋱⫍1861⪒(⩦⩻⨪⪎⋱⫍1636)","cot":[{"info":"⪎⋱⫍1242⪮%⊝⪎⋱⫍1861=⪎⋱⫍2668","layer":1},{"info":"⩦⩻⨪⪎⋱⫍1636=⪎⋱⫍1636","layer":1},{"info":"⪎⋱⫍2668⪒⪎⋱⫍1636=⪎⋱⫍-3CA1","layer":0}]}
{"id":106,"expression_no_base_symbol":"≉($4145$∸)","expression":"≉(⪎⋱⫍1B6B∸)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4145,"base":13}}},"used_operators":["e1ybzncUwg","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⪎⋱⫍426","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4145","layer":2},{"info":"compute unary expreesion, input=4145, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=708","layer":0}],"base":13,"result_base":13,"text":"≉(⪎⋱⫍1B6B∸)=⪎⋱⫍426","reverse_text":"⪎⋱⫍426=≉(⪎⋱⫍1B6B∸)","cot":[{"info":"⪎⋱⫍1B6B∸=⪎⋱⫍108","layer":1},{"info":"≉⪎⋱⫍108=⪎⋱⫍426","layer":0}]}
{"id":107,"expression_no_base_symbol":"$1014$⇼⇔∾$1674$⪨≂$2171$⊴$1916$","expression":"⪎⋱⫍600⇼⇔∾⪎⋱⫍9BA⪨≂⪎⋱⫍CB0⊴⪎⋱⫍B45","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2360,"operation_count":3,"complexity_ratio":786.6666666666666,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":1674,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2171,"base":13},"right_expr":{"type":"numeric_atoms","value":1916,"base":13}}},"used_operators":["sdazOOVcIp","tifHPKVTfV","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=1674","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=1674, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=660","layer":1},{"info":"number node, value=2171","layer":2},{"info":"number node, value=1916","layer":2},{"info":"compute binary expreesion, left_input=2171, right_input=1916, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=660, 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":13,"result_base":13,"text":"⪎⋱⫍600⇼⇔∾⪎⋱⫍9BA⪨≂⪎⋱⫍CB0⊴⪎⋱⫍B45=NaN","reverse_text":"NaN=⪎⋱⫍600⇼⇔∾⪎⋱⫍9BA⪨≂⪎⋱⫍CB0⊴⪎⋱⫍B45","cot":[{"info":"⪎⋱⫍600⇼⇔∾⪎⋱⫍9BA=⪎⋱⫍3BA","layer":1},{"info":"⪎⋱⫍CB0⊴⪎⋱⫍B45=NaN","layer":1},{"info":"⪎⋱⫍3BA⪨≂NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⊥$5517$)⊠≄⫣","expression":"(⊥⪎⋱⫍2685)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5517,"base":13}}},"used_operators":["DIvbN7qnHd","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5517","layer":2},{"info":"compute unary expreesion, input=5517, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥⪎⋱⫍2685)⊠≄⫣=NaN","reverse_text":"NaN=(⊥⪎⋱⫍2685)⊠≄⫣","cot":[{"info":"⊥⪎⋱⫍2685=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"$2669$⊴$9122$⊭↱$5013$≹⇙⪍$3790$","expression":"⪎⋱⫍12A4⊴⪎⋱⫍41C9⊭↱⪎⋱⫍2388≹⇙⪍⪎⋱⫍1957","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9135,"operation_count":3,"complexity_ratio":3045.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2669,"base":13},"right_expr":{"type":"numeric_atoms","value":9122,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5013,"base":13},"right_expr":{"type":"numeric_atoms","value":3790,"base":13}}},"used_operators":["COABgblf1C","Nsiff2A1zJ","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2669","layer":2},{"info":"number node, value=9122","layer":2},{"info":"compute binary expreesion, left_input=2669, right_input=9122, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5013","layer":2},{"info":"number node, value=3790","layer":2},{"info":"compute binary expreesion, left_input=5013, right_input=3790, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"⪎⋱⫍12A4⊴⪎⋱⫍41C9⊭↱⪎⋱⫍2388≹⇙⪍⪎⋱⫍1957=NaN","reverse_text":"NaN=⪎⋱⫍12A4⊴⪎⋱⫍41C9⊭↱⪎⋱⫍2388≹⇙⪍⪎⋱⫍1957","cot":[{"info":"⪎⋱⫍12A4⊴⪎⋱⫍41C9=NaN","layer":1},{"info":"⪎⋱⫍2388≹⇙⪍⪎⋱⫍1957=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"≉$1949$↺$1146$","expression":"≉⪎⋱⫍B6C↺⪎⋱⫍6A2","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1949,"base":13},"right_expr":{"type":"numeric_atoms","value":1146,"base":13}}},"used_operators":["e1ybzncUwg","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍9C0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1949","layer":2},{"info":"number node, value=1146","layer":2},{"info":"compute binary expreesion, left_input=1949, right_input=1146, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1146","layer":1},{"info":"compute unary expreesion, input=1146, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1677","layer":0}],"base":13,"result_base":13,"text":"≉⪎⋱⫍B6C↺⪎⋱⫍6A2=⪎⋱⫍9C0","reverse_text":"⪎⋱⫍9C0=≉⪎⋱⫍B6C↺⪎⋱⫍6A2","cot":[{"info":"⪎⋱⫍B6C↺⪎⋱⫍6A2=⪎⋱⫍6A2","layer":1},{"info":"≉⪎⋱⫍6A2=⪎⋱⫍9C0","layer":0}]}
{"id":111,"expression_no_base_symbol":"($1151$↪⪝)≧⫂∧($1028$↙$2800$)","expression":"(⪎⋱⫍6A7↪⪝)≧⫂∧(⪎⋱⫍611↙⪎⋱⫍1375)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3505,"operation_count":3,"complexity_ratio":1168.3333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1151,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1028,"base":13},"right_expr":{"type":"numeric_atoms","value":2800,"base":13}}},"used_operators":["Ph9nP6C5qx","l07mrZUIn9","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍1178BAC4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":2},{"info":"compute unary expreesion, input=1151, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=70420482","layer":1},{"info":"number node, value=1028","layer":2},{"info":"number node, value=2800","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=2800, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8400","layer":1},{"info":"compute binary expreesion, left_input=70420482, right_input=-8400, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=70428882","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6A7↪⪝)≧⫂∧(⪎⋱⫍611↙⪎⋱⫍1375)=⪎⋱⫍1178BAC4","reverse_text":"⪎⋱⫍1178BAC4=(⪎⋱⫍6A7↪⪝)≧⫂∧(⪎⋱⫍611↙⪎⋱⫍1375)","cot":[{"info":"⪎⋱⫍6A7↪⪝=⪎⋱⫍11788032","layer":1},{"info":"⪎⋱⫍611↙⪎⋱⫍1375=⪎⋱⫍-3A92","layer":1},{"info":"⪎⋱⫍11788032≧⫂∧⪎⋱⫍-3A92=⪎⋱⫍1178BAC4","layer":0}]}
{"id":112,"expression_no_base_symbol":"⋗⩬⋾$5392$⋳⪒$5058$","expression":"⋗⩬⋾⪎⋱⫍25BA⋳⪒⪎⋱⫍23C1","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5392,"base":13},"right_expr":{"type":"numeric_atoms","value":5058,"base":13}}},"used_operators":["DpFCA1CohY","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-7572","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5392","layer":2},{"info":"number node, value=5058","layer":2},{"info":"compute binary expreesion, left_input=5392, right_input=5058, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5439","layer":1},{"info":"compute unary expreesion, input=5439, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-16317","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾⪎⋱⫍25BA⋳⪒⪎⋱⫍23C1=⪎⋱⫍-7572","reverse_text":"⪎⋱⫍-7572=⋗⩬⋾⪎⋱⫍25BA⋳⪒⪎⋱⫍23C1","cot":[{"info":"⪎⋱⫍25BA⋳⪒⪎⋱⫍23C1=⪎⋱⫍2625","layer":1},{"info":"⋗⩬⋾⪎⋱⫍2625=⪎⋱⫍-7572","layer":0}]}
{"id":113,"expression_no_base_symbol":"-$3875$⪢$5786$","expression":"-⪎⋱⫍19C1⪢⪎⋱⫍2831","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5787,"operation_count":2,"complexity_ratio":2893.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3875,"base":13},"right_expr":{"type":"numeric_atoms","value":5786,"base":13}}},"used_operators":["t8gj7n24qd","dWAJyo7jo9"],"dependent_operators":["k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3875","layer":2},{"info":"number node, value=5786","layer":2},{"info":"compute binary expreesion, left_input=3875, right_input=5786, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍19C1⪢⪎⋱⫍2831=NaN","reverse_text":"NaN=-⪎⋱⫍19C1⪢⪎⋱⫍2831","cot":[{"info":"⪎⋱⫍19C1⪢⪎⋱⫍2831=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"$4638$⨎$1112$⫥∨⫟$4882$⊴$2400$","expression":"⪎⋱⫍215A⨎⪎⋱⫍677⫥∨⫟⪎⋱⫍22B7⊴⪎⋱⫍1128","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5771,"operation_count":3,"complexity_ratio":1923.6666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4638,"base":13},"right_expr":{"type":"numeric_atoms","value":1112,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4882,"base":13},"right_expr":{"type":"numeric_atoms","value":2400,"base":13}}},"used_operators":["KYD54nUTWz","rJVOvQCfKK","Nsiff2A1zJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4638","layer":2},{"info":"number node, value=1112","layer":2},{"info":"compute binary expreesion, left_input=4638, right_input=1112, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1112","layer":1},{"info":"number node, value=4882","layer":2},{"info":"number node, value=2400","layer":2},{"info":"compute binary expreesion, left_input=4882, right_input=2400, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1112, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍215A⨎⪎⋱⫍677⫥∨⫟⪎⋱⫍22B7⊴⪎⋱⫍1128=NaN","reverse_text":"NaN=⪎⋱⫍215A⨎⪎⋱⫍677⫥∨⫟⪎⋱⫍22B7⊴⪎⋱⫍1128","cot":[{"info":"⪎⋱⫍215A⨎⪎⋱⫍677=⪎⋱⫍677","layer":1},{"info":"⪎⋱⫍22B7⊴⪎⋱⫍1128=NaN","layer":1},{"info":"⪎⋱⫍677⫥∨⫟NaN=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"⨵≀≌($1825$⊦⊿)","expression":"⨵≀≌(⪎⋱⫍AA5⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5565,"operation_count":2,"complexity_ratio":2782.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1825,"base":13}}},"used_operators":["srAu1WTS94","14qkJME0vr"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍6510619","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":2},{"info":"compute unary expreesion, input=1825, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5554","layer":1},{"info":"compute unary expreesion, input=-5554, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=30846916","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍AA5⊦⊿)=⪎⋱⫍6510619","reverse_text":"⪎⋱⫍6510619=⨵≀≌(⪎⋱⫍AA5⊦⊿)","cot":[{"info":"⪎⋱⫍AA5⊦⊿=⪎⋱⫍-26B3","layer":1},{"info":"⨵≀≌⪎⋱⫍-26B3=⪎⋱⫍6510619","layer":0}]}
{"id":116,"expression_no_base_symbol":"$4737$⨓$4088$/($1974$⇋≉)","expression":"⪎⋱⫍2205⨓⪎⋱⫍1B26/(⪎⋱⫍B8B⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4098,"operation_count":3,"complexity_ratio":1366.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4737,"base":13},"right_expr":{"type":"numeric_atoms","value":4088,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1974,"base":13}}},"used_operators":["XhwjNDsVaA","3ViojmjbAp","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4737","layer":2},{"info":"number node, value=4088","layer":2},{"info":"compute binary expreesion, left_input=4737, right_input=4088, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4091","layer":1},{"info":"number node, value=1974","layer":2},{"info":"compute unary expreesion, input=1974, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3850","layer":1},{"info":"compute binary expreesion, left_input=-4091, right_input=3850, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2205⨓⪎⋱⫍1B26/(⪎⋱⫍B8B⇋≉)=⪎⋱⫍-2","reverse_text":"⪎⋱⫍-2=⪎⋱⫍2205⨓⪎⋱⫍1B26/(⪎⋱⫍B8B⇋≉)","cot":[{"info":"⪎⋱⫍2205⨓⪎⋱⫍1B26=⪎⋱⫍-1B29","layer":1},{"info":"⪎⋱⫍B8B⇋≉=⪎⋱⫍19A2","layer":1},{"info":"⪎⋱⫍-1B29/⪎⋱⫍19A2=⪎⋱⫍-2","layer":0}]}
{"id":117,"expression_no_base_symbol":"$3440$⊴$6390$↛⩡⫤","expression":"⪎⋱⫍1748⊴⪎⋱⫍2BA7↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6459,"operation_count":2,"complexity_ratio":3229.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3440,"base":13},"right_expr":{"type":"numeric_atoms","value":6390,"base":13}}},"used_operators":["FU0Cs4j7VP","Nsiff2A1zJ"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3440","layer":2},{"info":"number node, value=6390","layer":2},{"info":"compute binary expreesion, left_input=3440, right_input=6390, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴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":13,"result_base":13,"text":"⪎⋱⫍1748⊴⪎⋱⫍2BA7↛⩡⫤=NaN","reverse_text":"NaN=⪎⋱⫍1748⊴⪎⋱⫍2BA7↛⩡⫤","cot":[{"info":"⪎⋱⫍1748⊴⪎⋱⫍2BA7=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"$1089$⩷∴$2853$∲⫓$1106$⪒$3831$","expression":"⪎⋱⫍65A⩷∴⪎⋱⫍13B6∲⫓⪎⋱⫍671⪒⪎⋱⫍1989","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":2853,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":3831,"base":13}}},"used_operators":["i8ToyICDmI","9FxExcQeMw","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-180B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":2},{"info":"number node, value=2853","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=2853, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3560","layer":1},{"info":"number node, value=1106","layer":2},{"info":"number node, value=3831","layer":2},{"info":"compute binary expreesion, left_input=1106, right_input=3831, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4937","layer":1},{"info":"compute binary expreesion, left_input=-3560, right_input=-4937, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3560","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍65A⩷∴⪎⋱⫍13B6∲⫓⪎⋱⫍671⪒⪎⋱⫍1989=⪎⋱⫍-180B","reverse_text":"⪎⋱⫍-180B=⪎⋱⫍65A⩷∴⪎⋱⫍13B6∲⫓⪎⋱⫍671⪒⪎⋱⫍1989","cot":[{"info":"⪎⋱⫍65A⩷∴⪎⋱⫍13B6=⪎⋱⫍-180B","layer":1},{"info":"⪎⋱⫍671⪒⪎⋱⫍1989=⪎⋱⫍-232A","layer":1},{"info":"⪎⋱⫍-180B∲⫓⪎⋱⫍-232A=⪎⋱⫍-180B","layer":0}]}
{"id":119,"expression_no_base_symbol":"($3006$⨰$1171$)⪘⫢$1811$⪘⫢$9629$","expression":"(⪎⋱⫍14A3⨰⪎⋱⫍6C1)⪘⫢⪎⋱⫍A94⪘⫢⪎⋱⫍44C9","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3006,"base":13},"right_expr":{"type":"numeric_atoms","value":1171,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1811,"base":13},"right_expr":{"type":"numeric_atoms","value":9629,"base":13}}},"used_operators":["oacrs7FA3X","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1814","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3006","layer":2},{"info":"number node, value=1171","layer":2},{"info":"compute binary expreesion, left_input=3006, right_input=1171, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1845","layer":1},{"info":"number node, value=1811","layer":2},{"info":"number node, value=9629","layer":2},{"info":"compute binary expreesion, left_input=1811, right_input=9629, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3498","layer":1},{"info":"compute binary expreesion, left_input=1845, right_input=3498, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3566","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍14A3⨰⪎⋱⫍6C1)⪘⫢⪎⋱⫍A94⪘⫢⪎⋱⫍44C9=⪎⋱⫍1814","reverse_text":"⪎⋱⫍1814=(⪎⋱⫍14A3⨰⪎⋱⫍6C1)⪘⫢⪎⋱⫍A94⪘⫢⪎⋱⫍44C9","cot":[{"info":"⪎⋱⫍14A3⨰⪎⋱⫍6C1=⪎⋱⫍ABC","layer":1},{"info":"⪎⋱⫍A94⪘⫢⪎⋱⫍44C9=⪎⋱⫍1791","layer":1},{"info":"⪎⋱⫍ABC⪘⫢⪎⋱⫍1791=⪎⋱⫍1814","layer":0}]}
{"id":120,"expression_no_base_symbol":"$1106$↬$1944$⨸⪁($7231$⨵⪆$1239$)","expression":"⪎⋱⫍671↬⪎⋱⫍B67⨸⪁(⪎⋱⫍33A3⨵⪆⪎⋱⫍744)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":1944,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7231,"base":13},"right_expr":{"type":"numeric_atoms","value":1239,"base":13}}},"used_operators":["g55IO6H4Gj","B5M0gjZbta","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1106","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=1106, right_input=1944, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7231","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=7231, right_input=1239, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍671↬⪎⋱⫍B67⨸⪁(⪎⋱⫍33A3⨵⪆⪎⋱⫍744)=NaN","reverse_text":"NaN=⪎⋱⫍671↬⪎⋱⫍B67⨸⪁(⪎⋱⫍33A3⨵⪆⪎⋱⫍744)","cot":[{"info":"⪎⋱⫍671↬⪎⋱⫍B67=NaN","layer":1},{"info":"⪎⋱⫍33A3⨵⪆⪎⋱⫍744=⪎⋱⫍C4","layer":1},{"info":"NaN⨸⪁⪎⋱⫍C4=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"($1109$∸)⨎$7645$⪢$2034$","expression":"(⪎⋱⫍674∸)⨎⪎⋱⫍3631⪢⪎⋱⫍C06","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4315,"operation_count":3,"complexity_ratio":1438.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1109,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7645,"base":13},"right_expr":{"type":"numeric_atoms","value":2034,"base":13}}},"used_operators":["rJVOvQCfKK","o20kRiQErp","dWAJyo7jo9"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"compute unary expreesion, input=1109, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=7645","layer":2},{"info":"number node, value=2034","layer":2},{"info":"compute binary expreesion, left_input=7645, right_input=2034, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 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":13,"result_base":13,"text":"(⪎⋱⫍674∸)⨎⪎⋱⫍3631⪢⪎⋱⫍C06=NaN","reverse_text":"NaN=(⪎⋱⫍674∸)⨎⪎⋱⫍3631⪢⪎⋱⫍C06","cot":[{"info":"⪎⋱⫍674∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍3631⪢⪎⋱⫍C06=NaN","layer":1},{"info":"⪎⋱⫍108⨎NaN=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"($4401$⋷$1034$)⨽(≦∁$7446$)","expression":"(⪎⋱⫍2007⋷⪎⋱⫍617)⨽(≦∁⪎⋱⫍350A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2346,"operation_count":3,"complexity_ratio":782.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4401,"base":13},"right_expr":{"type":"numeric_atoms","value":1034,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7446,"base":13}}},"used_operators":["8HhzD0ZcuI","23Mk6UjR3U","9ICcGScMcE"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍-3505A97","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4401","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=4401, right_input=1034, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2333","layer":1},{"info":"number node, value=7446","layer":2},{"info":"compute unary expreesion, input=7446, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7446","layer":1},{"info":"compute binary expreesion, left_input=-2333, right_input=7446, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16349691","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2007⋷⪎⋱⫍617)⨽(≦∁⪎⋱⫍350A)=⪎⋱⫍-3505A97","reverse_text":"⪎⋱⫍-3505A97=(⪎⋱⫍2007⋷⪎⋱⫍617)⨽(≦∁⪎⋱⫍350A)","cot":[{"info":"⪎⋱⫍2007⋷⪎⋱⫍617=⪎⋱⫍-10A6","layer":1},{"info":"≦∁⪎⋱⫍350A=⪎⋱⫍350A","layer":1},{"info":"⪎⋱⫍-10A6⨽⪎⋱⫍350A=⪎⋱⫍-3505A97","layer":0}]}
{"id":123,"expression_no_base_symbol":"$1562$⪢$6649$⩨($3635$⇼⇔∾$5297$)","expression":"⪎⋱⫍932⪢⪎⋱⫍3046⩨(⪎⋱⫍1868⇼⇔∾⪎⋱⫍2546)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6655,"operation_count":3,"complexity_ratio":2218.3333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1562,"base":13},"right_expr":{"type":"numeric_atoms","value":6649,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3635,"base":13},"right_expr":{"type":"numeric_atoms","value":5297,"base":13}}},"used_operators":["2DlMacCsIx","dWAJyo7jo9","tifHPKVTfV"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1562","layer":2},{"info":"number node, value=6649","layer":2},{"info":"compute binary expreesion, left_input=1562, right_input=6649, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3635","layer":2},{"info":"number node, value=5297","layer":2},{"info":"compute binary expreesion, left_input=3635, right_input=5297, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1662","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1662, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍932⪢⪎⋱⫍3046⩨(⪎⋱⫍1868⇼⇔∾⪎⋱⫍2546)=NaN","reverse_text":"NaN=⪎⋱⫍932⪢⪎⋱⫍3046⩨(⪎⋱⫍1868⇼⇔∾⪎⋱⫍2546)","cot":[{"info":"⪎⋱⫍932⪢⪎⋱⫍3046=NaN","layer":1},{"info":"⪎⋱⫍1868⇼⇔∾⪎⋱⫍2546=⪎⋱⫍9AB","layer":1},{"info":"NaN⩨⪎⋱⫍9AB=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"(⪝⪂⫅$3548$)⋝⋈⪟($5361$≎⊠⪸$1401$)","expression":"(⪝⪂⫅⪎⋱⫍17CC)⋝⋈⪟(⪎⋱⫍2595≎⊠⪸⪎⋱⫍83A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":423,"operation_count":3,"complexity_ratio":141.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3548,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5361,"base":13},"right_expr":{"type":"numeric_atoms","value":1401,"base":13}}},"used_operators":["2DDjHMKMc0","XTarYq4gQB","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-153519","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3548","layer":2},{"info":"compute unary expreesion, input=3548, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-521556","layer":1},{"info":"number node, value=5361","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=5361, right_input=1401, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1388026","layer":1},{"info":"compute binary expreesion, left_input=-521556, right_input=1388026, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-521556","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍17CC)⋝⋈⪟(⪎⋱⫍2595≎⊠⪸⪎⋱⫍83A)=⪎⋱⫍-153519","reverse_text":"⪎⋱⫍-153519=(⪝⪂⫅⪎⋱⫍17CC)⋝⋈⪟(⪎⋱⫍2595≎⊠⪸⪎⋱⫍83A)","cot":[{"info":"⪝⪂⫅⪎⋱⫍17CC=⪎⋱⫍-153519","layer":1},{"info":"⪎⋱⫍2595≎⊠⪸⪎⋱⫍83A=⪎⋱⫍397A23","layer":1},{"info":"⪎⋱⫍-153519⋝⋈⪟⪎⋱⫍397A23=⪎⋱⫍-153519","layer":0}]}
{"id":125,"expression_no_base_symbol":"⫛⫱⨽($1216$∑⇟⊟$1155$)","expression":"⫛⫱⨽(⪎⋱⫍727∑⇟⊟⪎⋱⫍6AB)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":913,"operation_count":2,"complexity_ratio":456.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1216,"base":13},"right_expr":{"type":"numeric_atoms","value":1155,"base":13}}},"used_operators":["DlLNRPXxWL","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1216","layer":2},{"info":"number node, value=1155","layer":2},{"info":"compute binary expreesion, left_input=1216, right_input=1155, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍727∑⇟⊟⪎⋱⫍6AB)=NaN","reverse_text":"NaN=⫛⫱⨽(⪎⋱⫍727∑⇟⊟⪎⋱⫍6AB)","cot":[{"info":"⪎⋱⫍727∑⇟⊟⪎⋱⫍6AB=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"$4848$⊴$3311$≧⫂∧(⩦⩻⨪$1944$)","expression":"⪎⋱⫍228C⊴⪎⋱⫍1679≧⫂∧(⩦⩻⨪⪎⋱⫍B67)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3534,"operation_count":3,"complexity_ratio":1178.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4848,"base":13},"right_expr":{"type":"numeric_atoms","value":3311,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1944,"base":13}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍892","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4848","layer":2},{"info":"number node, value=3311","layer":2},{"info":"compute binary expreesion, left_input=4848, right_input=3311, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1944","layer":2},{"info":"compute unary expreesion, input=1944, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1944","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1944, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1471","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍228C⊴⪎⋱⫍1679≧⫂∧(⩦⩻⨪⪎⋱⫍B67)=⪎⋱⫍892","reverse_text":"⪎⋱⫍892=⪎⋱⫍228C⊴⪎⋱⫍1679≧⫂∧(⩦⩻⨪⪎⋱⫍B67)","cot":[{"info":"⪎⋱⫍228C⊴⪎⋱⫍1679=NaN","layer":1},{"info":"⩦⩻⨪⪎⋱⫍B67=⪎⋱⫍B67","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍B67=⪎⋱⫍892","layer":0}]}
{"id":127,"expression_no_base_symbol":"$1632$⨓$3104$≎⊠⪸(⨈⫕$1049$)","expression":"⪎⋱⫍987⨓⪎⋱⫍154A≎⊠⪸(⨈⫕⪎⋱⫍629)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3767,"operation_count":3,"complexity_ratio":1255.6666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1632,"base":13},"right_expr":{"type":"numeric_atoms","value":3104,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1049,"base":13}}},"used_operators":["bJkvcejdHO","3ViojmjbAp","megm06wKyl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍222380","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":2},{"info":"number node, value=3104","layer":2},{"info":"compute binary expreesion, left_input=1632, right_input=3104, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3107","layer":1},{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, 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=-3107, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=804713","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍987⨓⪎⋱⫍154A≎⊠⪸(⨈⫕⪎⋱⫍629)=⪎⋱⫍222380","reverse_text":"⪎⋱⫍222380=⪎⋱⫍987⨓⪎⋱⫍154A≎⊠⪸(⨈⫕⪎⋱⫍629)","cot":[{"info":"⪎⋱⫍987⨓⪎⋱⫍154A=⪎⋱⫍-1550","layer":1},{"info":"⨈⫕⪎⋱⫍629=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍-1550≎⊠⪸⪎⋱⫍-18=⪎⋱⫍222380","layer":0}]}
{"id":128,"expression_no_base_symbol":"⪝⪂⫅(⊙↵-$2353$)","expression":"⪝⪂⫅(⊙↵-⪎⋱⫍10C0)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2403,"operation_count":2,"complexity_ratio":1201.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2353,"base":13}}},"used_operators":["XTarYq4gQB","oWn0xqSxBt"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍B4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2353","layer":2},{"info":"compute unary expreesion, input=2353, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=147","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⊙↵-⪎⋱⫍10C0)=⪎⋱⫍B4","reverse_text":"⪎⋱⫍B4=⪝⪂⫅(⊙↵-⪎⋱⫍10C0)","cot":[{"info":"⊙↵-⪎⋱⫍10C0=⪎⋱⫍-1","layer":1},{"info":"⪝⪂⫅⪎⋱⫍-1=⪎⋱⫍B4","layer":0}]}
{"id":129,"expression_no_base_symbol":"$3144$⩷∴$1554$⇋≉","expression":"⪎⋱⫍157B⩷∴⪎⋱⫍927⇋≉","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3144,"base":13},"right_expr":{"type":"numeric_atoms","value":1554,"base":13}}},"used_operators":["XIabStNQrY","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍2A8A","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3144","layer":2},{"info":"number node, value=1554","layer":2},{"info":"compute binary expreesion, left_input=3144, right_input=1554, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3148","layer":1},{"info":"compute unary expreesion, input=3148, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6198","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍157B⩷∴⪎⋱⫍927⇋≉=⪎⋱⫍2A8A","reverse_text":"⪎⋱⫍2A8A=⪎⋱⫍157B⩷∴⪎⋱⫍927⇋≉","cot":[{"info":"⪎⋱⫍157B⩷∴⪎⋱⫍927=⪎⋱⫍1582","layer":1},{"info":"⪎⋱⫍1582⇋≉=⪎⋱⫍2A8A","layer":0}]}
{"id":130,"expression_no_base_symbol":"($2504$⨰$2498$)⪢($5798$⪐)","expression":"(⪎⋱⫍11A8⨰⪎⋱⫍11A2)⪢(⪎⋱⫍2840⪐)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11604,"operation_count":3,"complexity_ratio":3868.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2504,"base":13},"right_expr":{"type":"numeric_atoms","value":2498,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5798,"base":13}}},"used_operators":["dWAJyo7jo9","eewbuw0ToL","eH2TOUuTDT"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2504","layer":2},{"info":"number node, value=2498","layer":2},{"info":"compute binary expreesion, left_input=2504, right_input=2498, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=16","layer":1},{"info":"number node, value=5798","layer":2},{"info":"compute unary expreesion, input=5798, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11596","layer":1},{"info":"compute binary expreesion, left_input=16, right_input=11596, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⪎⋱⫍11A8⨰⪎⋱⫍11A2)⪢(⪎⋱⫍2840⪐)=NaN","reverse_text":"NaN=(⪎⋱⫍11A8⨰⪎⋱⫍11A2)⪢(⪎⋱⫍2840⪐)","cot":[{"info":"⪎⋱⫍11A8⨰⪎⋱⫍11A2=⪎⋱⫍13","layer":1},{"info":"⪎⋱⫍2840⪐=⪎⋱⫍5380","layer":1},{"info":"⪎⋱⫍13⪢⪎⋱⫍5380=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"($2537$⪠⩆⊳)⨟⋌⩍($4017$⊠≄⫣)","expression":"(⪎⋱⫍1202⪠⩆⊳)⨟⋌⩍(⪎⋱⫍1AA0⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2537,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4017,"base":13}}},"used_operators":["rGHVDoGpnC","JLbD19bQDL","DIvbN7qnHd"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2537","layer":2},{"info":"compute unary expreesion, input=2537, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=4017","layer":2},{"info":"compute unary expreesion, input=4017, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1202⪠⩆⊳)⨟⋌⩍(⪎⋱⫍1AA0⊠≄⫣)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1202⪠⩆⊳)⨟⋌⩍(⪎⋱⫍1AA0⊠≄⫣)","cot":[{"info":"⪎⋱⫍1202⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1AA0⊠≄⫣=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⨟⋌⩍⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":132,"expression_no_base_symbol":"($2560$≫≃)⨵⪆($1616$⪠⩆⊳)","expression":"(⪎⋱⫍121C≫≃)⨵⪆(⪎⋱⫍974⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2560,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1616,"base":13}}},"used_operators":["2DQ55sFlQl","X99M06cbEe","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2560","layer":2},{"info":"compute unary expreesion, input=2560, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6521","layer":1},{"info":"number node, value=1616","layer":2},{"info":"compute unary expreesion, input=1616, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6521, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍121C≫≃)⨵⪆(⪎⋱⫍974⪠⩆⊳)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍121C≫≃)⨵⪆(⪎⋱⫍974⪠⩆⊳)","cot":[{"info":"⪎⋱⫍121C≫≃=⪎⋱⫍2C78","layer":1},{"info":"⪎⋱⫍974⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2C78⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":0}]}
{"id":133,"expression_no_base_symbol":"$4066$⨰$2388$⇼⇔∾($2775$⋫)","expression":"⪎⋱⫍1B0A⨰⪎⋱⫍1119⇼⇔∾(⪎⋱⫍1356⋫)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2783,"operation_count":3,"complexity_ratio":927.6666666666666,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4066,"base":13},"right_expr":{"type":"numeric_atoms","value":2388,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2775,"base":13}}},"used_operators":["tifHPKVTfV","eewbuw0ToL","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⪎⋱⫍658","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4066","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=4066, right_input=2388, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1688","layer":1},{"info":"number node, value=2775","layer":2},{"info":"compute unary expreesion, input=2775, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2775","layer":1},{"info":"compute binary expreesion, left_input=1688, right_input=2775, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1087","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B0A⨰⪎⋱⫍1119⇼⇔∾(⪎⋱⫍1356⋫)=⪎⋱⫍658","reverse_text":"⪎⋱⫍658=⪎⋱⫍1B0A⨰⪎⋱⫍1119⇼⇔∾(⪎⋱⫍1356⋫)","cot":[{"info":"⪎⋱⫍1B0A⨰⪎⋱⫍1119=⪎⋱⫍9CB","layer":1},{"info":"⪎⋱⫍1356⋫=⪎⋱⫍1356","layer":1},{"info":"⪎⋱⫍9CB⇼⇔∾⪎⋱⫍1356=⪎⋱⫍658","layer":0}]}
{"id":134,"expression_no_base_symbol":"↩$4407$⊴$1816$","expression":"↩⪎⋱⫍2010⊴⪎⋱⫍A99","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5632,"operation_count":2,"complexity_ratio":2816.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4407,"base":13},"right_expr":{"type":"numeric_atoms","value":1816,"base":13}}},"used_operators":["jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4407","layer":2},{"info":"number node, value=1816","layer":2},{"info":"compute binary expreesion, left_input=4407, right_input=1816, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":13,"result_base":13,"text":"↩⪎⋱⫍2010⊴⪎⋱⫍A99=NaN","reverse_text":"NaN=↩⪎⋱⫍2010⊴⪎⋱⫍A99","cot":[{"info":"⪎⋱⫍2010⊴⪎⋱⫍A99=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"⊥($1013$⨐⩸⫘$1072$)","expression":"⊥(⪎⋱⫍5CC⨐⩸⫘⪎⋱⫍646)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1013,"base":13},"right_expr":{"type":"numeric_atoms","value":1072,"base":13}}},"used_operators":["Q3PJZHRvZv","fu6greOZ01"],"dependent_operators":["fu6greOZ01","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"number node, value=1072","layer":2},{"info":"compute binary expreesion, left_input=1013, right_input=1072, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥(⪎⋱⫍5CC⨐⩸⫘⪎⋱⫍646)=NaN","reverse_text":"NaN=⊥(⪎⋱⫍5CC⨐⩸⫘⪎⋱⫍646)","cot":[{"info":"⪎⋱⫍5CC⨐⩸⫘⪎⋱⫍646=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"(∂$6142$)⇷($3460$⋝⋈⪟$1192$)","expression":"(∂⪎⋱⫍2A46)⇷(⪎⋱⫍1762⋝⋈⪟⪎⋱⫍709)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6142,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3460,"base":13},"right_expr":{"type":"numeric_atoms","value":1192,"base":13}}},"used_operators":["mp7IySMOzn","Uaa54Peajs","2DDjHMKMc0"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍31C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6142","layer":2},{"info":"compute unary expreesion, input=6142, 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=3460","layer":2},{"info":"number node, value=1192","layer":2},{"info":"compute binary expreesion, left_input=3460, right_input=1192, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3460","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3460, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6920","layer":0}],"base":13,"result_base":13,"text":"(∂⪎⋱⫍2A46)⇷(⪎⋱⫍1762⋝⋈⪟⪎⋱⫍709)=⪎⋱⫍31C4","reverse_text":"⪎⋱⫍31C4=(∂⪎⋱⫍2A46)⇷(⪎⋱⫍1762⋝⋈⪟⪎⋱⫍709)","cot":[{"info":"∂⪎⋱⫍2A46=NaN","layer":1},{"info":"⪎⋱⫍1762⋝⋈⪟⪎⋱⫍709=⪎⋱⫍1762","layer":1},{"info":"NaN⇷⪎⋱⫍1762=⪎⋱⫍31C4","layer":0}]}
{"id":137,"expression_no_base_symbol":"($3097$⊭↱$1995$)∸","expression":"(⪎⋱⫍1543⊭↱⪎⋱⫍BA6)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":183,"operation_count":2,"complexity_ratio":91.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3097,"base":13},"right_expr":{"type":"numeric_atoms","value":1995,"base":13}}},"used_operators":["o20kRiQErp","COABgblf1C"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3097","layer":2},{"info":"number node, value=1995","layer":2},{"info":"compute binary expreesion, left_input=3097, right_input=1995, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2199","layer":1},{"info":"compute unary expreesion, input=-2199, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1543⊭↱⪎⋱⫍BA6)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍1543⊭↱⪎⋱⫍BA6)∸","cot":[{"info":"⪎⋱⫍1543⊭↱⪎⋱⫍BA6=⪎⋱⫍-1002","layer":1},{"info":"⪎⋱⫍-1002∸=⪎⋱⫍108","layer":0}]}
{"id":138,"expression_no_base_symbol":"$1560$⫥∨⫟$4532$↙($1314$⋫)","expression":"⪎⋱⫍930⫥∨⫟⪎⋱⫍20A8↙(⪎⋱⫍7A1⋫)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1469,"operation_count":3,"complexity_ratio":489.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1560,"base":13},"right_expr":{"type":"numeric_atoms","value":4532,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1314,"base":13}}},"used_operators":["yyfyN0ffXY","KYD54nUTWz","JL8yIekQnl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1560","layer":2},{"info":"number node, value=4532","layer":2},{"info":"compute binary expreesion, left_input=1560, right_input=4532, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1314","layer":2},{"info":"compute unary expreesion, input=1314, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1314","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1314, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍930⫥∨⫟⪎⋱⫍20A8↙(⪎⋱⫍7A1⋫)=NaN","reverse_text":"NaN=⪎⋱⫍930⫥∨⫟⪎⋱⫍20A8↙(⪎⋱⫍7A1⋫)","cot":[{"info":"⪎⋱⫍930⫥∨⫟⪎⋱⫍20A8=NaN","layer":1},{"info":"⪎⋱⫍7A1⋫=⪎⋱⫍7A1","layer":1},{"info":"NaN↙⪎⋱⫍7A1=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"≉(≦∁$3375$)","expression":"≉(≦∁⪎⋱⫍16C8)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3375,"base":13}}},"used_operators":["e1ybzncUwg","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍1A16","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3375","layer":2},{"info":"compute unary expreesion, input=3375, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3375","layer":1},{"info":"compute unary expreesion, input=3375, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3906","layer":0}],"base":13,"result_base":13,"text":"≉(≦∁⪎⋱⫍16C8)=⪎⋱⫍1A16","reverse_text":"⪎⋱⫍1A16=≉(≦∁⪎⋱⫍16C8)","cot":[{"info":"≦∁⪎⋱⫍16C8=⪎⋱⫍16C8","layer":1},{"info":"≉⪎⋱⫍16C8=⪎⋱⫍1A16","layer":0}]}
{"id":140,"expression_no_base_symbol":"⫓⪴($3062$⋓$1437$)","expression":"⫓⪴(⪎⋱⫍1517⋓⪎⋱⫍867)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3062,"base":13},"right_expr":{"type":"numeric_atoms","value":1437,"base":13}}},"used_operators":["eLxqMNBOBk","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3062","layer":2},{"info":"number node, value=1437","layer":2},{"info":"compute binary expreesion, left_input=3062, right_input=1437, op_id = T2fj7uvVaJ binary_op_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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍1517⋓⪎⋱⫍867)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫓⪴(⪎⋱⫍1517⋓⪎⋱⫍867)","cot":[{"info":"⪎⋱⫍1517⋓⪎⋱⫍867=⪎⋱⫍0","layer":1},{"info":"⫓⪴⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":141,"expression_no_base_symbol":"($2351$⪨≂$1618$)∼(⨑⩽⪐$8801$)","expression":"(⪎⋱⫍10BB⪨≂⪎⋱⫍976)∼(⨑⩽⪐⪎⋱⫍4010)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2351,"base":13},"right_expr":{"type":"numeric_atoms","value":1618,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8801,"base":13}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","AF7qkfDlqP"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2351","layer":2},{"info":"number node, value=1618","layer":2},{"info":"compute binary expreesion, left_input=2351, right_input=1618, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1568","layer":1},{"info":"number node, value=8801","layer":2},{"info":"compute unary expreesion, input=8801, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8528","layer":1},{"info":"compute binary expreesion, left_input=1568, right_input=-8528, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍10BB⪨≂⪎⋱⫍976)∼(⨑⩽⪐⪎⋱⫍4010)=NaN","reverse_text":"NaN=(⪎⋱⫍10BB⪨≂⪎⋱⫍976)∼(⨑⩽⪐⪎⋱⫍4010)","cot":[{"info":"⪎⋱⫍10BB⪨≂⪎⋱⫍976=⪎⋱⫍938","layer":1},{"info":"⨑⩽⪐⪎⋱⫍4010=⪎⋱⫍-3B60","layer":1},{"info":"⪎⋱⫍938∼⪎⋱⫍-3B60=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"($5533$⨎$1484$)∼($3324$⋥≓≎$2404$)","expression":"(⪎⋱⫍2698⨎⪎⋱⫍8A2)∼(⪎⋱⫍1689⋥≓≎⪎⋱⫍112C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5533,"base":13},"right_expr":{"type":"numeric_atoms","value":1484,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3324,"base":13},"right_expr":{"type":"numeric_atoms","value":2404,"base":13}}},"used_operators":["DyGG3AbaNP","rJVOvQCfKK","Qy55tPpLXF"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5533","layer":2},{"info":"number node, value=1484","layer":2},{"info":"compute binary expreesion, left_input=5533, right_input=1484, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1484","layer":1},{"info":"number node, value=3324","layer":2},{"info":"number node, value=2404","layer":2},{"info":"compute binary expreesion, left_input=3324, right_input=2404, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1517","layer":1},{"info":"compute binary expreesion, left_input=1484, right_input=1517, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2698⨎⪎⋱⫍8A2)∼(⪎⋱⫍1689⋥≓≎⪎⋱⫍112C)=NaN","reverse_text":"NaN=(⪎⋱⫍2698⨎⪎⋱⫍8A2)∼(⪎⋱⫍1689⋥≓≎⪎⋱⫍112C)","cot":[{"info":"⪎⋱⫍2698⨎⪎⋱⫍8A2=⪎⋱⫍8A2","layer":1},{"info":"⪎⋱⫍1689⋥≓≎⪎⋱⫍112C=⪎⋱⫍8C9","layer":1},{"info":"⪎⋱⫍8A2∼⪎⋱⫍8C9=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"⨰⫟⨤(⩦⩻⨪$2259$)","expression":"⨰⫟⨤(⩦⩻⨪⪎⋱⫍104A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8199,"operation_count":2,"complexity_ratio":4099.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2259,"base":13}}},"used_operators":["Tw270M8GLb","2td37pGCOC"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2259","layer":2},{"info":"compute unary expreesion, input=2259, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2259","layer":1},{"info":"compute unary expreesion, input=2259, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⩦⩻⨪⪎⋱⫍104A)=NaN","reverse_text":"NaN=⨰⫟⨤(⩦⩻⨪⪎⋱⫍104A)","cot":[{"info":"⩦⩻⨪⪎⋱⫍104A=⪎⋱⫍104A","layer":1},{"info":"⨰⫟⨤⪎⋱⫍104A=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"(≤/$1637$)*($8029$⫡⨏$1968$)","expression":"(≤/⪎⋱⫍98C)*(⪎⋱⫍3868⫡⨏⪎⋱⫍B85)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1161,"operation_count":3,"complexity_ratio":387.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1637,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8029,"base":13},"right_expr":{"type":"numeric_atoms","value":1968,"base":13}}},"used_operators":["9HNa5Wba9A","eLAdDNolq6","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-A941BC9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":2},{"info":"compute unary expreesion, input=1637, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1153","layer":1},{"info":"number node, value=8029","layer":2},{"info":"number node, value=1968","layer":2},{"info":"compute binary expreesion, left_input=8029, right_input=1968, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44864","layer":1},{"info":"compute binary expreesion, left_input=-1153, right_input=44864, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-51728192","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍98C)*(⪎⋱⫍3868⫡⨏⪎⋱⫍B85)=⪎⋱⫍-A941BC9","reverse_text":"⪎⋱⫍-A941BC9=(≤/⪎⋱⫍98C)*(⪎⋱⫍3868⫡⨏⪎⋱⫍B85)","cot":[{"info":"≤/⪎⋱⫍98C=⪎⋱⫍-6A9","layer":1},{"info":"⪎⋱⫍3868⫡⨏⪎⋱⫍B85=⪎⋱⫍17561","layer":1},{"info":"⪎⋱⫍-6A9*⪎⋱⫍17561=⪎⋱⫍-A941BC9","layer":0}]}
{"id":145,"expression_no_base_symbol":"$7433$⨪↰⇹$3479$↺($1378$≦≮≮)","expression":"⪎⋱⫍34CA⨪↰⇹⪎⋱⫍1778↺(⪎⋱⫍820≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7438,"operation_count":3,"complexity_ratio":2479.3333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7433,"base":13},"right_expr":{"type":"numeric_atoms","value":3479,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1378,"base":13}}},"used_operators":["7j4O788W3g","tmPS8pqC7x","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1B60","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7433","layer":2},{"info":"number node, value=3479","layer":2},{"info":"compute binary expreesion, left_input=7433, right_input=3479, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7433","layer":1},{"info":"number node, value=1378","layer":2},{"info":"compute unary expreesion, input=1378, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4134","layer":1},{"info":"compute binary expreesion, left_input=7433, right_input=-4134, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4134","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍34CA⨪↰⇹⪎⋱⫍1778↺(⪎⋱⫍820≦≮≮)=⪎⋱⫍-1B60","reverse_text":"⪎⋱⫍-1B60=⪎⋱⫍34CA⨪↰⇹⪎⋱⫍1778↺(⪎⋱⫍820≦≮≮)","cot":[{"info":"⪎⋱⫍34CA⨪↰⇹⪎⋱⫍1778=⪎⋱⫍34CA","layer":1},{"info":"⪎⋱⫍820≦≮≮=⪎⋱⫍-1B60","layer":1},{"info":"⪎⋱⫍34CA↺⪎⋱⫍-1B60=⪎⋱⫍-1B60","layer":0}]}
{"id":146,"expression_no_base_symbol":"$2898$⩷∴$2187$⪄$1112$⨓$3384$","expression":"⪎⋱⫍141C⩷∴⪎⋱⫍CC3⪄⪎⋱⫍677⨓⪎⋱⫍1704","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3490,"operation_count":3,"complexity_ratio":1163.3333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2898,"base":13},"right_expr":{"type":"numeric_atoms","value":2187,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1112,"base":13},"right_expr":{"type":"numeric_atoms","value":3384,"base":13}}},"used_operators":["SUmda5xLS4","9FxExcQeMw","3ViojmjbAp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-678C8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2898","layer":2},{"info":"number node, value=2187","layer":2},{"info":"compute binary expreesion, left_input=2898, right_input=2187, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1390","layer":1},{"info":"number node, value=1112","layer":2},{"info":"number node, value=3384","layer":2},{"info":"compute binary expreesion, left_input=1112, right_input=3384, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3387","layer":1},{"info":"compute binary expreesion, left_input=1390, right_input=-3387, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-188261","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍141C⩷∴⪎⋱⫍CC3⪄⪎⋱⫍677⨓⪎⋱⫍1704=⪎⋱⫍-678C8","reverse_text":"⪎⋱⫍-678C8=⪎⋱⫍141C⩷∴⪎⋱⫍CC3⪄⪎⋱⫍677⨓⪎⋱⫍1704","cot":[{"info":"⪎⋱⫍141C⩷∴⪎⋱⫍CC3=⪎⋱⫍82C","layer":1},{"info":"⪎⋱⫍677⨓⪎⋱⫍1704=⪎⋱⫍-1707","layer":1},{"info":"⪎⋱⫍82C⪄⪎⋱⫍-1707=⪎⋱⫍-678C8","layer":0}]}
{"id":147,"expression_no_base_symbol":"⊙↵-(⋗⩬⋾$1488$)","expression":"⊙↵-(⋗⩬⋾⪎⋱⫍8A6)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4499,"operation_count":2,"complexity_ratio":2249.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1488,"base":13}}},"used_operators":["oWn0xqSxBt","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍121","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":2},{"info":"compute unary expreesion, input=1488, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4464","layer":1},{"info":"compute unary expreesion, input=-4464, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(⋗⩬⋾⪎⋱⫍8A6)=⪎⋱⫍121","reverse_text":"⪎⋱⫍121=⊙↵-(⋗⩬⋾⪎⋱⫍8A6)","cot":[{"info":"⋗⩬⋾⪎⋱⫍8A6=⪎⋱⫍-2055","layer":1},{"info":"⊙↵-⪎⋱⫍-2055=⪎⋱⫍121","layer":0}]}
{"id":148,"expression_no_base_symbol":"($1186$↛⩡⫤)⋓($7458$⨰$2787$)","expression":"(⪎⋱⫍703↛⩡⫤)⋓(⪎⋱⫍3519⨰⪎⋱⫍1365)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3711,"operation_count":3,"complexity_ratio":1237.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1186,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7458,"base":13},"right_expr":{"type":"numeric_atoms","value":2787,"base":13}}},"used_operators":["T2fj7uvVaJ","FU0Cs4j7VP","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":2},{"info":"compute unary expreesion, input=1186, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-175175","layer":1},{"info":"number node, value=7458","layer":2},{"info":"number node, value=2787","layer":2},{"info":"compute binary expreesion, left_input=7458, right_input=2787, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4681","layer":1},{"info":"compute binary expreesion, left_input=-175175, right_input=4681, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(⪎⋱⫍703↛⩡⫤)⋓(⪎⋱⫍3519⨰⪎⋱⫍1365)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍703↛⩡⫤)⋓(⪎⋱⫍3519⨰⪎⋱⫍1365)","cot":[{"info":"⪎⋱⫍703↛⩡⫤=⪎⋱⫍-61970","layer":1},{"info":"⪎⋱⫍3519⨰⪎⋱⫍1365=⪎⋱⫍2191","layer":1},{"info":"⪎⋱⫍-61970⋓⪎⋱⫍2191=⪎⋱⫍0","layer":0}]}
{"id":149,"expression_no_base_symbol":"(⫛⫱⨽$3632$)+(↯⪼$1597$)","expression":"(⫛⫱⨽⪎⋱⫍1865)+(↯⪼⪎⋱⫍95B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1454,"operation_count":3,"complexity_ratio":484.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3632,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1597,"base":13}}},"used_operators":["W4YGzv6Whe","DlLNRPXxWL","8jW3W4yZS5"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3632","layer":2},{"info":"compute unary expreesion, input=3632, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1597","layer":2},{"info":"compute unary expreesion, input=1597, 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=0, right_input=-21, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-21","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍1865)+(↯⪼⪎⋱⫍95B)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=(⫛⫱⨽⪎⋱⫍1865)+(↯⪼⪎⋱⫍95B)","cot":[{"info":"⫛⫱⨽⪎⋱⫍1865=⪎⋱⫍0","layer":1},{"info":"↯⪼⪎⋱⫍95B=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍0+⪎⋱⫍-18=⪎⋱⫍-18","layer":0}]}
{"id":150,"expression_no_base_symbol":"($2626$↛⩡⫤)/$2592$⨰$3183$","expression":"(⪎⋱⫍1270↛⩡⫤)/⪎⋱⫍1245⨰⪎⋱⫍15AB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8693,"operation_count":3,"complexity_ratio":2897.6666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2626,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2592,"base":13},"right_expr":{"type":"numeric_atoms","value":3183,"base":13}}},"used_operators":["XhwjNDsVaA","FU0Cs4j7VP","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2626","layer":2},{"info":"compute unary expreesion, input=2626, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-392615","layer":1},{"info":"number node, value=2592","layer":2},{"info":"number node, value=3183","layer":2},{"info":"compute binary expreesion, left_input=2592, right_input=3183, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-581","layer":1},{"info":"compute binary expreesion, left_input=-392615, right_input=-581, op_id = XhwjNDsVaA binary_op_definition= 'None', output=675","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1270↛⩡⫤)/⪎⋱⫍1245⨰⪎⋱⫍15AB=⪎⋱⫍3CC","reverse_text":"⪎⋱⫍3CC=(⪎⋱⫍1270↛⩡⫤)/⪎⋱⫍1245⨰⪎⋱⫍15AB","cot":[{"info":"⪎⋱⫍1270↛⩡⫤=⪎⋱⫍-109922","layer":1},{"info":"⪎⋱⫍1245⨰⪎⋱⫍15AB=⪎⋱⫍-359","layer":1},{"info":"⪎⋱⫍-109922/⪎⋱⫍-359=⪎⋱⫍3CC","layer":0}]}
{"id":151,"expression_no_base_symbol":"$4325$⨪↰⇹$3987$*(+⊝⨔$1850$)","expression":"⪎⋱⫍1C79⨪↰⇹⪎⋱⫍1A79*(+⊝⨔⪎⋱⫍AC4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5887,"operation_count":3,"complexity_ratio":1962.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4325,"base":13},"right_expr":{"type":"numeric_atoms","value":3987,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1850,"base":13}}},"used_operators":["9HNa5Wba9A","tmPS8pqC7x","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍1496279","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4325","layer":2},{"info":"number node, value=3987","layer":2},{"info":"compute binary expreesion, left_input=4325, right_input=3987, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4325","layer":1},{"info":"number node, value=1850","layer":2},{"info":"compute unary expreesion, input=1850, 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=4325, right_input=1522, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6582650","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1C79⨪↰⇹⪎⋱⫍1A79*(+⊝⨔⪎⋱⫍AC4)=⪎⋱⫍1496279","reverse_text":"⪎⋱⫍1496279=⪎⋱⫍1C79⨪↰⇹⪎⋱⫍1A79*(+⊝⨔⪎⋱⫍AC4)","cot":[{"info":"⪎⋱⫍1C79⨪↰⇹⪎⋱⫍1A79=⪎⋱⫍1C79","layer":1},{"info":"+⊝⨔⪎⋱⫍AC4=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍1C79*⪎⋱⫍901=⪎⋱⫍1496279","layer":0}]}
{"id":152,"expression_no_base_symbol":"↩$1941$⋳⪒$2113$","expression":"↩⪎⋱⫍B64⋳⪒⪎⋱⫍C67","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1941,"base":13},"right_expr":{"type":"numeric_atoms","value":2113,"base":13}}},"used_operators":["jLgFTUHLKL","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-4192","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1941","layer":2},{"info":"number node, value=2113","layer":2},{"info":"compute binary expreesion, left_input=1941, right_input=2113, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1482","layer":1},{"info":"compute unary expreesion, input=1482, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9076","layer":0}],"base":13,"result_base":13,"text":"↩⪎⋱⫍B64⋳⪒⪎⋱⫍C67=⪎⋱⫍-4192","reverse_text":"⪎⋱⫍-4192=↩⪎⋱⫍B64⋳⪒⪎⋱⫍C67","cot":[{"info":"⪎⋱⫍B64⋳⪒⪎⋱⫍C67=⪎⋱⫍8A0","layer":1},{"info":"↩⪎⋱⫍8A0=⪎⋱⫍-4192","layer":0}]}
{"id":153,"expression_no_base_symbol":"(⇁⨣⪵$1409$)⊉≛↸($3061$⪒$2031$)","expression":"(⇁⨣⪵⪎⋱⫍845)⊉≛↸(⪎⋱⫍1516⪒⪎⋱⫍C03)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1409,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3061,"base":13},"right_expr":{"type":"numeric_atoms","value":2031,"base":13}}},"used_operators":["DZ8iAZOCBD","inkyxCbjAn","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":2},{"info":"compute unary expreesion, input=1409, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3061","layer":2},{"info":"number node, value=2031","layer":2},{"info":"compute binary expreesion, left_input=3061, right_input=2031, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5092","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5092, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍845)⊉≛↸(⪎⋱⫍1516⪒⪎⋱⫍C03)=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍845)⊉≛↸(⪎⋱⫍1516⪒⪎⋱⫍C03)","cot":[{"info":"⇁⨣⪵⪎⋱⫍845=NaN","layer":1},{"info":"⪎⋱⫍1516⪒⪎⋱⫍C03=⪎⋱⫍-2419","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍-2419=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"$1024$⨰$2575$⨽($1023$⫡⨏$1991$)","expression":"⪎⋱⫍60A⨰⪎⋱⫍1231⨽(⪎⋱⫍609⫡⨏⪎⋱⫍BA2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1563,"operation_count":3,"complexity_ratio":521.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":2575,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1023,"base":13},"right_expr":{"type":"numeric_atoms","value":1991,"base":13}}},"used_operators":["8HhzD0ZcuI","eewbuw0ToL","QMFrweE19q"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1635693","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=2575","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=2575, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1541","layer":1},{"info":"number node, value=1023","layer":2},{"info":"number node, value=1991","layer":2},{"info":"compute binary expreesion, left_input=1023, right_input=1991, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9880","layer":1},{"info":"compute binary expreesion, left_input=-1541, right_input=9880, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7152369","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍60A⨰⪎⋱⫍1231⨽(⪎⋱⫍609⫡⨏⪎⋱⫍BA2)=⪎⋱⫍-1635693","reverse_text":"⪎⋱⫍-1635693=⪎⋱⫍60A⨰⪎⋱⫍1231⨽(⪎⋱⫍609⫡⨏⪎⋱⫍BA2)","cot":[{"info":"⪎⋱⫍60A⨰⪎⋱⫍1231=⪎⋱⫍-917","layer":1},{"info":"⪎⋱⫍609⫡⨏⪎⋱⫍BA2=⪎⋱⫍4660","layer":1},{"info":"⪎⋱⫍-917⨽⪎⋱⫍4660=⪎⋱⫍-1635693","layer":0}]}
{"id":155,"expression_no_base_symbol":"(⫛⫱⨽$3504$)↺$8556$∑⇟⊟$5904$","expression":"(⫛⫱⨽⪎⋱⫍1797)↺⪎⋱⫍3B82∑⇟⊟⪎⋱⫍28C2","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1425,"operation_count":3,"complexity_ratio":475.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3504,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8556,"base":13},"right_expr":{"type":"numeric_atoms","value":5904,"base":13}}},"used_operators":["7j4O788W3g","DlLNRPXxWL","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3504","layer":2},{"info":"compute unary expreesion, input=3504, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=8556","layer":2},{"info":"number node, value=5904","layer":2},{"info":"compute binary expreesion, left_input=8556, right_input=5904, 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=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍1797)↺⪎⋱⫍3B82∑⇟⊟⪎⋱⫍28C2=NaN","reverse_text":"NaN=(⫛⫱⨽⪎⋱⫍1797)↺⪎⋱⫍3B82∑⇟⊟⪎⋱⫍28C2","cot":[{"info":"⫛⫱⨽⪎⋱⫍1797=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍3B82∑⇟⊟⪎⋱⫍28C2=NaN","layer":1},{"info":"⪎⋱⫍0↺NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"(↯⪼$1014$)⋷$1116$∀⇚≩$4771$","expression":"(↯⪼⪎⋱⫍600)⋷⪎⋱⫍67B∀⇚≩⪎⋱⫍2230","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7845,"operation_count":3,"complexity_ratio":2615.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1014,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1116,"base":13},"right_expr":{"type":"numeric_atoms","value":4771,"base":13}}},"used_operators":["23Mk6UjR3U","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"⪎⋱⫍33","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1014","layer":2},{"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":1},{"info":"number node, value=1116","layer":2},{"info":"number node, value=4771","layer":2},{"info":"compute binary expreesion, left_input=1116, right_input=4771, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-21, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍600)⋷⪎⋱⫍67B∀⇚≩⪎⋱⫍2230=⪎⋱⫍33","reverse_text":"⪎⋱⫍33=(↯⪼⪎⋱⫍600)⋷⪎⋱⫍67B∀⇚≩⪎⋱⫍2230","cot":[{"info":"↯⪼⪎⋱⫍600=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍67B∀⇚≩⪎⋱⫍2230=NaN","layer":1},{"info":"⪎⋱⫍-18⋷NaN=⪎⋱⫍33","layer":0}]}
{"id":157,"expression_no_base_symbol":"($7934$↛⩡⫤)⨳⩥⨓$3606$⨎$2297$","expression":"(⪎⋱⫍37C4↛⩡⫤)⨳⩥⨓⪎⋱⫍1845⨎⪎⋱⫍1079","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23940,"operation_count":3,"complexity_ratio":7980.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7934,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3606,"base":13},"right_expr":{"type":"numeric_atoms","value":2297,"base":13}}},"used_operators":["nCS4ZIUYfx","FU0Cs4j7VP","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍32B754","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7934","layer":2},{"info":"compute unary expreesion, input=7934, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1194123","layer":1},{"info":"number node, value=3606","layer":2},{"info":"number node, value=2297","layer":2},{"info":"compute binary expreesion, left_input=3606, right_input=2297, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2297","layer":1},{"info":"compute binary expreesion, left_input=-1194123, right_input=2297, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1196420","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍37C4↛⩡⫤)⨳⩥⨓⪎⋱⫍1845⨎⪎⋱⫍1079=⪎⋱⫍32B754","reverse_text":"⪎⋱⫍32B754=(⪎⋱⫍37C4↛⩡⫤)⨳⩥⨓⪎⋱⫍1845⨎⪎⋱⫍1079","cot":[{"info":"⪎⋱⫍37C4↛⩡⫤=⪎⋱⫍-32A6A8","layer":1},{"info":"⪎⋱⫍1845⨎⪎⋱⫍1079=⪎⋱⫍1079","layer":1},{"info":"⪎⋱⫍-32A6A8⨳⩥⨓⪎⋱⫍1079=⪎⋱⫍32B754","layer":0}]}
{"id":158,"expression_no_base_symbol":"↔($5049$∼$3065$)","expression":"↔(⪎⋱⫍23B5∼⪎⋱⫍151A)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":123,"operation_count":2,"complexity_ratio":61.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5049,"base":13},"right_expr":{"type":"numeric_atoms","value":3065,"base":13}}},"used_operators":["ruOEQAzv1W","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5049","layer":2},{"info":"number node, value=3065","layer":2},{"info":"compute binary expreesion, left_input=5049, right_input=3065, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍23B5∼⪎⋱⫍151A)=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⪎⋱⫍23B5∼⪎⋱⫍151A)","cot":[{"info":"⪎⋱⫍23B5∼⪎⋱⫍151A=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":159,"expression_no_base_symbol":"$2553$%$3362$⪨≂$3846$⨸⪁$1461$","expression":"⪎⋱⫍1215%⪎⋱⫍16B8⪨≂⪎⋱⫍199B⨸⪁⪎⋱⫍885","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2553,"base":13},"right_expr":{"type":"numeric_atoms","value":3362,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3846,"base":13},"right_expr":{"type":"numeric_atoms","value":1461,"base":13}}},"used_operators":["sdazOOVcIp","k8jYdgA6NY","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍-73A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2553","layer":2},{"info":"number node, value=3362","layer":2},{"info":"compute binary expreesion, left_input=2553, right_input=3362, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2553","layer":1},{"info":"number node, value=3846","layer":2},{"info":"number node, value=1461","layer":2},{"info":"compute binary expreesion, left_input=3846, right_input=1461, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10614","layer":1},{"info":"compute binary expreesion, left_input=2553, right_input=10614, op_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":13,"result_base":13,"text":"⪎⋱⫍1215%⪎⋱⫍16B8⪨≂⪎⋱⫍199B⨸⪁⪎⋱⫍885=⪎⋱⫍-73A4","reverse_text":"⪎⋱⫍-73A4=⪎⋱⫍1215%⪎⋱⫍16B8⪨≂⪎⋱⫍199B⨸⪁⪎⋱⫍885","cot":[{"info":"⪎⋱⫍1215%⪎⋱⫍16B8=⪎⋱⫍1215","layer":1},{"info":"⪎⋱⫍199B⨸⪁⪎⋱⫍885=⪎⋱⫍4AA6","layer":1},{"info":"⪎⋱⫍1215⪨≂⪎⋱⫍4AA6=⪎⋱⫍-73A4","layer":0}]}
{"id":160,"expression_no_base_symbol":"($5351$⊘)⨽$4692$⩷∴$5676$","expression":"(⪎⋱⫍2588⊘)⨽⪎⋱⫍219C⩷∴⪎⋱⫍2778","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5351,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4692,"base":13},"right_expr":{"type":"numeric_atoms","value":5676,"base":13}}},"used_operators":["8HhzD0ZcuI","gu96TGCTMs","9FxExcQeMw"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"⪎⋱⫍3438","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5351","layer":2},{"info":"compute unary expreesion, input=5351, 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=4692","layer":2},{"info":"number node, value=5676","layer":2},{"info":"compute binary expreesion, left_input=4692, right_input=5676, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2000","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2000, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=7314","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2588⊘)⨽⪎⋱⫍219C⩷∴⪎⋱⫍2778=⪎⋱⫍3438","reverse_text":"⪎⋱⫍3438=(⪎⋱⫍2588⊘)⨽⪎⋱⫍219C⩷∴⪎⋱⫍2778","cot":[{"info":"⪎⋱⫍2588⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍219C⩷∴⪎⋱⫍2778=⪎⋱⫍-BAB","layer":1},{"info":"⪎⋱⫍0⨽⪎⋱⫍-BAB=⪎⋱⫍3438","layer":0}]}
{"id":161,"expression_no_base_symbol":"$1900$↙$4403$+$7711$-$1531$","expression":"⪎⋱⫍B32↙⪎⋱⫍2009+⪎⋱⫍3682-⪎⋱⫍90A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4408,"operation_count":3,"complexity_ratio":1469.3333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1900,"base":13},"right_expr":{"type":"numeric_atoms","value":4403,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7711,"base":13},"right_expr":{"type":"numeric_atoms","value":1531,"base":13}}},"used_operators":["W4YGzv6Whe","yyfyN0ffXY","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-3279","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1900","layer":2},{"info":"number node, value=4403","layer":2},{"info":"compute binary expreesion, left_input=1900, right_input=4403, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13209","layer":1},{"info":"number node, value=7711","layer":2},{"info":"number node, value=1531","layer":2},{"info":"compute binary expreesion, left_input=7711, right_input=1531, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6180","layer":1},{"info":"compute binary expreesion, left_input=-13209, right_input=6180, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-7029","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍B32↙⪎⋱⫍2009+⪎⋱⫍3682-⪎⋱⫍90A=⪎⋱⫍-3279","reverse_text":"⪎⋱⫍-3279=⪎⋱⫍B32↙⪎⋱⫍2009+⪎⋱⫍3682-⪎⋱⫍90A","cot":[{"info":"⪎⋱⫍B32↙⪎⋱⫍2009=⪎⋱⫍-6021","layer":1},{"info":"⪎⋱⫍3682-⪎⋱⫍90A=⪎⋱⫍2A75","layer":1},{"info":"⪎⋱⫍-6021+⪎⋱⫍2A75=⪎⋱⫍-3279","layer":0}]}
{"id":162,"expression_no_base_symbol":"(⨵≀≌$2130$)↙$1283$∼$9538$","expression":"(⨵≀≌⪎⋱⫍C7B)↙⪎⋱⫍779∼⪎⋱⫍4459","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2130,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1283,"base":13},"right_expr":{"type":"numeric_atoms","value":9538,"base":13}}},"used_operators":["yyfyN0ffXY","srAu1WTS94","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-2BA7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":2},{"info":"compute unary expreesion, input=2130, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6390","layer":1},{"info":"number node, value=1283","layer":2},{"info":"number node, value=9538","layer":2},{"info":"compute binary expreesion, left_input=1283, right_input=9538, 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=-6390, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6390","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍C7B)↙⪎⋱⫍779∼⪎⋱⫍4459=⪎⋱⫍-2BA7","reverse_text":"⪎⋱⫍-2BA7=(⨵≀≌⪎⋱⫍C7B)↙⪎⋱⫍779∼⪎⋱⫍4459","cot":[{"info":"⨵≀≌⪎⋱⫍C7B=⪎⋱⫍-2BA7","layer":1},{"info":"⪎⋱⫍779∼⪎⋱⫍4459=NaN","layer":1},{"info":"⪎⋱⫍-2BA7↙NaN=⪎⋱⫍-2BA7","layer":0}]}
{"id":163,"expression_no_base_symbol":"$2423$⪘⫢$1813$⨎(-$2297$)","expression":"⪎⋱⫍1145⪘⫢⪎⋱⫍A96⨎(-⪎⋱⫍1079)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2423,"base":13},"right_expr":{"type":"numeric_atoms","value":1813,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2297,"base":13}}},"used_operators":["rJVOvQCfKK","oacrs7FA3X","t8gj7n24qd"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍-1079","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2423","layer":2},{"info":"number node, value=1813","layer":2},{"info":"compute binary expreesion, left_input=2423, right_input=1813, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4722","layer":1},{"info":"number node, value=2297","layer":2},{"info":"compute unary expreesion, input=2297, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2297","layer":1},{"info":"compute binary expreesion, left_input=4722, right_input=-2297, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2297","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1145⪘⫢⪎⋱⫍A96⨎(-⪎⋱⫍1079)=⪎⋱⫍-1079","reverse_text":"⪎⋱⫍-1079=⪎⋱⫍1145⪘⫢⪎⋱⫍A96⨎(-⪎⋱⫍1079)","cot":[{"info":"⪎⋱⫍1145⪘⫢⪎⋱⫍A96=⪎⋱⫍21C3","layer":1},{"info":"-⪎⋱⫍1079=⪎⋱⫍-1079","layer":1},{"info":"⪎⋱⫍21C3⨎⪎⋱⫍-1079=⪎⋱⫍-1079","layer":0}]}
{"id":164,"expression_no_base_symbol":"($4549$⩚⊴⇥$6353$)↬($2747$/$4887$)","expression":"(⪎⋱⫍20BC⩚⊴⇥⪎⋱⫍2B79)↬(⪎⋱⫍1334/⪎⋱⫍22BC)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4549,"base":13},"right_expr":{"type":"numeric_atoms","value":6353,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2747,"base":13},"right_expr":{"type":"numeric_atoms","value":4887,"base":13}}},"used_operators":["B5M0gjZbta","NTOWxs364D","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4549","layer":2},{"info":"number node, value=6353","layer":2},{"info":"compute binary expreesion, left_input=4549, right_input=6353, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11023","layer":1},{"info":"number node, value=2747","layer":2},{"info":"number node, value=4887","layer":2},{"info":"compute binary expreesion, left_input=2747, right_input=4887, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-11023, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍20BC⩚⊴⇥⪎⋱⫍2B79)↬(⪎⋱⫍1334/⪎⋱⫍22BC)=NaN","reverse_text":"NaN=(⪎⋱⫍20BC⩚⊴⇥⪎⋱⫍2B79)↬(⪎⋱⫍1334/⪎⋱⫍22BC)","cot":[{"info":"⪎⋱⫍20BC⩚⊴⇥⪎⋱⫍2B79=⪎⋱⫍-502C","layer":1},{"info":"⪎⋱⫍1334/⪎⋱⫍22BC=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-502C↬⪎⋱⫍0=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"($4454$⇼⇔∾$2623$)≫≃","expression":"(⪎⋱⫍2048⇼⇔∾⪎⋱⫍126A)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4454,"base":13},"right_expr":{"type":"numeric_atoms","value":2623,"base":13}}},"used_operators":["X99M06cbEe","tifHPKVTfV"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-104C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":2},{"info":"number node, value=2623","layer":2},{"info":"compute binary expreesion, left_input=4454, right_input=2623, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1831","layer":1},{"info":"compute unary expreesion, input=-1831, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-2261","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2048⇼⇔∾⪎⋱⫍126A)≫≃=⪎⋱⫍-104C","reverse_text":"⪎⋱⫍-104C=(⪎⋱⫍2048⇼⇔∾⪎⋱⫍126A)≫≃","cot":[{"info":"⪎⋱⫍2048⇼⇔∾⪎⋱⫍126A=⪎⋱⫍-AAB","layer":1},{"info":"⪎⋱⫍-AAB≫≃=⪎⋱⫍-104C","layer":0}]}
{"id":166,"expression_no_base_symbol":"($1310$-$1713$)⋳⪒(∂$1049$)","expression":"(⪎⋱⫍79A-⪎⋱⫍A1A)⋳⪒(∂⪎⋱⫍629)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1310,"base":13},"right_expr":{"type":"numeric_atoms","value":1713,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1049,"base":13}}},"used_operators":["12rbrZMWeM","rysDP5nf3Z","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1310","layer":2},{"info":"number node, value=1713","layer":2},{"info":"compute binary expreesion, left_input=1310, right_input=1713, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-403","layer":1},{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, 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=-403, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍79A-⪎⋱⫍A1A)⋳⪒(∂⪎⋱⫍629)=NaN","reverse_text":"NaN=(⪎⋱⫍79A-⪎⋱⫍A1A)⋳⪒(∂⪎⋱⫍629)","cot":[{"info":"⪎⋱⫍79A-⪎⋱⫍A1A=⪎⋱⫍-250","layer":1},{"info":"∂⪎⋱⫍629=NaN","layer":1},{"info":"⪎⋱⫍-250⋳⪒NaN=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"($1859$⫸⊐$4424$)∧","expression":"(⪎⋱⫍B00⫸⊐⪎⋱⫍2024)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1859,"base":13},"right_expr":{"type":"numeric_atoms","value":4424,"base":13}}},"used_operators":["z63VuFQld9","mqXw5SEYmG"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1859","layer":2},{"info":"number node, value=4424","layer":2},{"info":"compute binary expreesion, left_input=1859, right_input=4424, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17571","layer":1},{"info":"compute unary expreesion, input=17571, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B00⫸⊐⪎⋱⫍2024)∧=NaN","reverse_text":"NaN=(⪎⋱⫍B00⫸⊐⪎⋱⫍2024)∧","cot":[{"info":"⪎⋱⫍B00⫸⊐⪎⋱⫍2024=⪎⋱⫍7CC8","layer":1},{"info":"⪎⋱⫍7CC8∧=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"↔($3099$⪛$4619$)","expression":"↔(⪎⋱⫍1545⪛⪎⋱⫍2144)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3099,"base":13},"right_expr":{"type":"numeric_atoms","value":4619,"base":13}}},"used_operators":["ruOEQAzv1W","uFcxV4UQCh"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-1395","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3099","layer":2},{"info":"number node, value=4619","layer":2},{"info":"compute binary expreesion, left_input=3099, right_input=4619, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3099","layer":1},{"info":"compute unary expreesion, input=3099, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2826","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍1545⪛⪎⋱⫍2144)=⪎⋱⫍-1395","reverse_text":"⪎⋱⫍-1395=↔(⪎⋱⫍1545⪛⪎⋱⫍2144)","cot":[{"info":"⪎⋱⫍1545⪛⪎⋱⫍2144=⪎⋱⫍1545","layer":1},{"info":"↔⪎⋱⫍1545=⪎⋱⫍-1395","layer":0}]}
{"id":169,"expression_no_base_symbol":"$1924$⨟⋌⩍$1098$⪒(⊄⩳↩$2765$)","expression":"⪎⋱⫍B50⨟⋌⩍⪎⋱⫍666⪒(⊄⩳↩⪎⋱⫍1349)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1924,"base":13},"right_expr":{"type":"numeric_atoms","value":1098,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2765,"base":13}}},"used_operators":["f6k1SAg4EE","rGHVDoGpnC","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1924","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=1924, right_input=1098, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2765","layer":2},{"info":"compute unary expreesion, input=2765, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8295","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8295, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍B50⨟⋌⩍⪎⋱⫍666⪒(⊄⩳↩⪎⋱⫍1349)=NaN","reverse_text":"NaN=⪎⋱⫍B50⨟⋌⩍⪎⋱⫍666⪒(⊄⩳↩⪎⋱⫍1349)","cot":[{"info":"⪎⋱⫍B50⨟⋌⩍⪎⋱⫍666=NaN","layer":1},{"info":"⊄⩳↩⪎⋱⫍1349=⪎⋱⫍-3A11","layer":1},{"info":"NaN⪒⪎⋱⫍-3A11=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"⋗⩬⋾($1049$⨵⪆$7780$)","expression":"⋗⩬⋾(⪎⋱⫍629⨵⪆⪎⋱⫍3706)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":7780,"base":13}}},"used_operators":["DpFCA1CohY","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2AC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=7780","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=7780, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(⪎⋱⫍629⨵⪆⪎⋱⫍3706)=⪎⋱⫍-2AC","reverse_text":"⪎⋱⫍-2AC=⋗⩬⋾(⪎⋱⫍629⨵⪆⪎⋱⫍3706)","cot":[{"info":"⪎⋱⫍629⨵⪆⪎⋱⫍3706=⪎⋱⫍C4","layer":1},{"info":"⋗⩬⋾⪎⋱⫍C4=⪎⋱⫍-2AC","layer":0}]}
{"id":171,"expression_no_base_symbol":"(⨑⩽⪐$2100$)⪛($4757$≭$2363$)","expression":"(⨑⩽⪐⪎⋱⫍C57)⪛(⪎⋱⫍221C≭⪎⋱⫍10CA)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2100,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4757,"base":13},"right_expr":{"type":"numeric_atoms","value":2363,"base":13}}},"used_operators":["uFcxV4UQCh","AF7qkfDlqP","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2100","layer":2},{"info":"compute unary expreesion, input=2100, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1827","layer":1},{"info":"number node, value=4757","layer":2},{"info":"number node, value=2363","layer":2},{"info":"compute binary expreesion, left_input=4757, right_input=2363, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-1827, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍C57)⪛(⪎⋱⫍221C≭⪎⋱⫍10CA)=NaN","reverse_text":"NaN=(⨑⩽⪐⪎⋱⫍C57)⪛(⪎⋱⫍221C≭⪎⋱⫍10CA)","cot":[{"info":"⨑⩽⪐⪎⋱⫍C57=⪎⋱⫍-AA7","layer":1},{"info":"⪎⋱⫍221C≭⪎⋱⫍10CA=NaN","layer":1},{"info":"⪎⋱⫍-AA7⪛NaN=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"($1821$⫸⊐$4998$)⋓($2930$⫥∨⫟$2658$)","expression":"(⪎⋱⫍AA1⫸⊐⪎⋱⫍2376)⋓(⪎⋱⫍1445⫥∨⫟⪎⋱⫍1296)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":191,"operation_count":3,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1821,"base":13},"right_expr":{"type":"numeric_atoms","value":4998,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2930,"base":13},"right_expr":{"type":"numeric_atoms","value":2658,"base":13}}},"used_operators":["T2fj7uvVaJ","mqXw5SEYmG","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1821","layer":2},{"info":"number node, value=4998","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=4998, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19867","layer":1},{"info":"number node, value=2930","layer":2},{"info":"number node, value=2658","layer":2},{"info":"compute binary expreesion, left_input=2930, right_input=2658, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19867, 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":13,"result_base":13,"text":"(⪎⋱⫍AA1⫸⊐⪎⋱⫍2376)⋓(⪎⋱⫍1445⫥∨⫟⪎⋱⫍1296)=NaN","reverse_text":"NaN=(⪎⋱⫍AA1⫸⊐⪎⋱⫍2376)⋓(⪎⋱⫍1445⫥∨⫟⪎⋱⫍1296)","cot":[{"info":"⪎⋱⫍AA1⫸⊐⪎⋱⫍2376=⪎⋱⫍9073","layer":1},{"info":"⪎⋱⫍1445⫥∨⫟⪎⋱⫍1296=NaN","layer":1},{"info":"⪎⋱⫍9073⋓NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"($6039$⇋≉)⋝⋈⪟$1767$⪘⫢$1744$","expression":"(⪎⋱⫍2997⇋≉)⋝⋈⪟⪎⋱⫍A5C⪘⫢⪎⋱⫍A42","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6039,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1767,"base":13},"right_expr":{"type":"numeric_atoms","value":1744,"base":13}}},"used_operators":["2DDjHMKMc0","XIabStNQrY","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍55B7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6039","layer":2},{"info":"compute unary expreesion, input=6039, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11980","layer":1},{"info":"number node, value=1767","layer":2},{"info":"number node, value=1744","layer":2},{"info":"compute binary expreesion, left_input=1767, right_input=1744, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3410","layer":1},{"info":"compute binary expreesion, left_input=11980, right_input=3410, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=11980","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2997⇋≉)⋝⋈⪟⪎⋱⫍A5C⪘⫢⪎⋱⫍A42=⪎⋱⫍55B7","reverse_text":"⪎⋱⫍55B7=(⪎⋱⫍2997⇋≉)⋝⋈⪟⪎⋱⫍A5C⪘⫢⪎⋱⫍A42","cot":[{"info":"⪎⋱⫍2997⇋≉=⪎⋱⫍55B7","layer":1},{"info":"⪎⋱⫍A5C⪘⫢⪎⋱⫍A42=⪎⋱⫍1724","layer":1},{"info":"⪎⋱⫍55B7⋝⋈⪟⪎⋱⫍1724=⪎⋱⫍55B7","layer":0}]}
{"id":174,"expression_no_base_symbol":"($1201$⨎$1883$)∧","expression":"(⪎⋱⫍715⨎⪎⋱⫍B1B)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1201,"base":13},"right_expr":{"type":"numeric_atoms","value":1883,"base":13}}},"used_operators":["z63VuFQld9","rJVOvQCfKK"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1201","layer":2},{"info":"number node, value=1883","layer":2},{"info":"compute binary expreesion, left_input=1201, right_input=1883, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1883","layer":1},{"info":"compute unary expreesion, input=1883, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍715⨎⪎⋱⫍B1B)∧=NaN","reverse_text":"NaN=(⪎⋱⫍715⨎⪎⋱⫍B1B)∧","cot":[{"info":"⪎⋱⫍715⨎⪎⋱⫍B1B=⪎⋱⫍B1B","layer":1},{"info":"⪎⋱⫍B1B∧=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"⪝⪂⫅($3920$⪒$1030$)","expression":"⪝⪂⫅(⪎⋱⫍1A27⪒⪎⋱⫍613)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":153,"operation_count":2,"complexity_ratio":76.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3920,"base":13},"right_expr":{"type":"numeric_atoms","value":1030,"base":13}}},"used_operators":["XTarYq4gQB","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1C6281","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3920","layer":2},{"info":"number node, value=1030","layer":2},{"info":"compute binary expreesion, left_input=3920, right_input=1030, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4950","layer":1},{"info":"compute unary expreesion, input=-4950, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=727650","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⪎⋱⫍1A27⪒⪎⋱⫍613)=⪎⋱⫍1C6281","reverse_text":"⪎⋱⫍1C6281=⪝⪂⫅(⪎⋱⫍1A27⪒⪎⋱⫍613)","cot":[{"info":"⪎⋱⫍1A27⪒⪎⋱⫍613=⪎⋱⫍-233A","layer":1},{"info":"⪝⪂⫅⪎⋱⫍-233A=⪎⋱⫍1C6281","layer":0}]}
{"id":176,"expression_no_base_symbol":"($1855$⨽$3192$)⪢$2426$⪢$1315$","expression":"(⪎⋱⫍AC9⨽⪎⋱⫍15B7)⪢⪎⋱⫍1148⪢⪎⋱⫍7A2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4848,"operation_count":3,"complexity_ratio":1616.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1855,"base":13},"right_expr":{"type":"numeric_atoms","value":3192,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2426,"base":13},"right_expr":{"type":"numeric_atoms","value":1315,"base":13}}},"used_operators":["dWAJyo7jo9","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":2},{"info":"number node, value=3192","layer":2},{"info":"compute binary expreesion, left_input=1855, right_input=3192, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10331337","layer":1},{"info":"number node, value=2426","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=2426, right_input=1315, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-10331337, 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":13,"result_base":13,"text":"(⪎⋱⫍AC9⨽⪎⋱⫍15B7)⪢⪎⋱⫍1148⪢⪎⋱⫍7A2=NaN","reverse_text":"NaN=(⪎⋱⫍AC9⨽⪎⋱⫍15B7)⪢⪎⋱⫍1148⪢⪎⋱⫍7A2","cot":[{"info":"⪎⋱⫍AC9⨽⪎⋱⫍15B7=⪎⋱⫍-21A9623","layer":1},{"info":"⪎⋱⫍1148⪢⪎⋱⫍7A2=NaN","layer":1},{"info":"⪎⋱⫍-21A9623⪢NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"$4416$⨓$6782$⨽$8144$≭$1257$","expression":"⪎⋱⫍2019⨓⪎⋱⫍3119⨽⪎⋱⫍3926≭⪎⋱⫍759","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13583,"operation_count":3,"complexity_ratio":4527.666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4416,"base":13},"right_expr":{"type":"numeric_atoms","value":6782,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8144,"base":13},"right_expr":{"type":"numeric_atoms","value":1257,"base":13}}},"used_operators":["8HhzD0ZcuI","3ViojmjbAp","rxpJgHHUmx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4416","layer":2},{"info":"number node, value=6782","layer":2},{"info":"compute binary expreesion, left_input=4416, right_input=6782, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6785","layer":1},{"info":"number node, value=8144","layer":2},{"info":"number node, value=1257","layer":2},{"info":"compute binary expreesion, left_input=8144, right_input=1257, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-6785, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2019⨓⪎⋱⫍3119⨽⪎⋱⫍3926≭⪎⋱⫍759=NaN","reverse_text":"NaN=⪎⋱⫍2019⨓⪎⋱⫍3119⨽⪎⋱⫍3926≭⪎⋱⫍759","cot":[{"info":"⪎⋱⫍2019⨓⪎⋱⫍3119=⪎⋱⫍-311C","layer":1},{"info":"⪎⋱⫍3926≭⪎⋱⫍759=NaN","layer":1},{"info":"⪎⋱⫍-311C⨽NaN=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"⨑⩽⪐($5976$⨳⩥⨓$1797$)","expression":"⨑⩽⪐(⪎⋱⫍2949⨳⩥⨓⪎⋱⫍A83)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5976,"base":13},"right_expr":{"type":"numeric_atoms","value":1797,"base":13}}},"used_operators":["AF7qkfDlqP","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍4218","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5976","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=5976, right_input=1797, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4179","layer":1},{"info":"compute unary expreesion, input=-4179, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=9147","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⪎⋱⫍2949⨳⩥⨓⪎⋱⫍A83)=⪎⋱⫍4218","reverse_text":"⪎⋱⫍4218=⨑⩽⪐(⪎⋱⫍2949⨳⩥⨓⪎⋱⫍A83)","cot":[{"info":"⪎⋱⫍2949⨳⩥⨓⪎⋱⫍A83=⪎⋱⫍-1B96","layer":1},{"info":"⨑⩽⪐⪎⋱⫍-1B96=⪎⋱⫍4218","layer":0}]}
{"id":179,"expression_no_base_symbol":"$1769$⩚⊴⇥$4889$↺($4934$↙$1872$)","expression":"⪎⋱⫍A61⩚⊴⇥⪎⋱⫍22C1↺(⪎⋱⫍2327↙⪎⋱⫍B10)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1880,"operation_count":3,"complexity_ratio":626.6666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1769,"base":13},"right_expr":{"type":"numeric_atoms","value":4889,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4934,"base":13},"right_expr":{"type":"numeric_atoms","value":1872,"base":13}}},"used_operators":["7j4O788W3g","NTOWxs364D","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-2730","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1769","layer":2},{"info":"number node, value=4889","layer":2},{"info":"compute binary expreesion, left_input=1769, right_input=4889, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6779","layer":1},{"info":"number node, value=4934","layer":2},{"info":"number node, value=1872","layer":2},{"info":"compute binary expreesion, left_input=4934, right_input=1872, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5616","layer":1},{"info":"compute binary expreesion, left_input=-6779, right_input=-5616, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-5616","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A61⩚⊴⇥⪎⋱⫍22C1↺(⪎⋱⫍2327↙⪎⋱⫍B10)=⪎⋱⫍-2730","reverse_text":"⪎⋱⫍-2730=⪎⋱⫍A61⩚⊴⇥⪎⋱⫍22C1↺(⪎⋱⫍2327↙⪎⋱⫍B10)","cot":[{"info":"⪎⋱⫍A61⩚⊴⇥⪎⋱⫍22C1=⪎⋱⫍-3116","layer":1},{"info":"⪎⋱⫍2327↙⪎⋱⫍B10=⪎⋱⫍-2730","layer":1},{"info":"⪎⋱⫍-3116↺⪎⋱⫍-2730=⪎⋱⫍-2730","layer":0}]}
{"id":180,"expression_no_base_symbol":"$2401$⋥≓≎$8987$-$6470$⫥∨⫟$1288$","expression":"⪎⋱⫍1129⋥≓≎⪎⋱⫍4124-⪎⋱⫍2C39⫥∨⫟⪎⋱⫍781","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2401,"base":13},"right_expr":{"type":"numeric_atoms","value":8987,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6470,"base":13},"right_expr":{"type":"numeric_atoms","value":1288,"base":13}}},"used_operators":["rysDP5nf3Z","Qy55tPpLXF","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2401","layer":2},{"info":"number node, value=8987","layer":2},{"info":"compute binary expreesion, left_input=2401, right_input=8987, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=15606","layer":1},{"info":"number node, value=6470","layer":2},{"info":"number node, value=1288","layer":2},{"info":"compute binary expreesion, left_input=6470, right_input=1288, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15606, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1129⋥≓≎⪎⋱⫍4124-⪎⋱⫍2C39⫥∨⫟⪎⋱⫍781=NaN","reverse_text":"NaN=⪎⋱⫍1129⋥≓≎⪎⋱⫍4124-⪎⋱⫍2C39⫥∨⫟⪎⋱⫍781","cot":[{"info":"⪎⋱⫍1129⋥≓≎⪎⋱⫍4124=⪎⋱⫍7146","layer":1},{"info":"⪎⋱⫍2C39⫥∨⫟⪎⋱⫍781=NaN","layer":1},{"info":"⪎⋱⫍7146-NaN=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"⊥(⊙↵-$1295$)","expression":"⊥(⊙↵-⪎⋱⫍788)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1348,"operation_count":2,"complexity_ratio":674.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1295,"base":13}}},"used_operators":["Q3PJZHRvZv","oWn0xqSxBt"],"dependent_operators":["fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1295","layer":2},{"info":"compute unary expreesion, input=1295, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":0}],"base":13,"result_base":13,"text":"⊥(⊙↵-⪎⋱⫍788)=⪎⋱⫍4","reverse_text":"⪎⋱⫍4=⊥(⊙↵-⪎⋱⫍788)","cot":[{"info":"⊙↵-⪎⋱⫍788=⪎⋱⫍-1","layer":1},{"info":"⊥⪎⋱⫍-1=⪎⋱⫍4","layer":0}]}
{"id":182,"expression_no_base_symbol":"$2075$⋝⋈⪟$2718$/$4107$⋳⪒$2226$","expression":"⪎⋱⫍C38⋝⋈⪟⪎⋱⫍1311/⪎⋱⫍1B3C⋳⪒⪎⋱⫍1023","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2075,"base":13},"right_expr":{"type":"numeric_atoms","value":2718,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4107,"base":13},"right_expr":{"type":"numeric_atoms","value":2226,"base":13}}},"used_operators":["XhwjNDsVaA","2DDjHMKMc0","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2075","layer":2},{"info":"number node, value=2718","layer":2},{"info":"compute binary expreesion, left_input=2075, right_input=2718, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2075","layer":1},{"info":"number node, value=4107","layer":2},{"info":"number node, value=2226","layer":2},{"info":"compute binary expreesion, left_input=4107, right_input=2226, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5701","layer":1},{"info":"compute binary expreesion, left_input=2075, right_input=5701, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍C38⋝⋈⪟⪎⋱⫍1311/⪎⋱⫍1B3C⋳⪒⪎⋱⫍1023=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍C38⋝⋈⪟⪎⋱⫍1311/⪎⋱⫍1B3C⋳⪒⪎⋱⫍1023","cot":[{"info":"⪎⋱⫍C38⋝⋈⪟⪎⋱⫍1311=⪎⋱⫍C38","layer":1},{"info":"⪎⋱⫍1B3C⋳⪒⪎⋱⫍1023=⪎⋱⫍2797","layer":1},{"info":"⪎⋱⫍C38/⪎⋱⫍2797=⪎⋱⫍0","layer":0}]}
{"id":183,"expression_no_base_symbol":"($3227$∲⫓$5682$)⫌⩹⨱","expression":"(⪎⋱⫍1613∲⫓⪎⋱⫍2781)⫌⩹⨱","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3227,"base":13},"right_expr":{"type":"numeric_atoms","value":5682,"base":13}}},"used_operators":["EBcxylXtPf","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍83A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3227","layer":2},{"info":"number node, value=5682","layer":2},{"info":"compute binary expreesion, left_input=3227, right_input=5682, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1613∲⫓⪎⋱⫍2781)⫌⩹⨱=⪎⋱⫍83A","reverse_text":"⪎⋱⫍83A=(⪎⋱⫍1613∲⫓⪎⋱⫍2781)⫌⩹⨱","cot":[{"info":"⪎⋱⫍1613∲⫓⪎⋱⫍2781=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⫌⩹⨱=⪎⋱⫍83A","layer":0}]}
{"id":184,"expression_no_base_symbol":"($1015$*$1828$)⪢($7374$⋓$4507$)","expression":"(⪎⋱⫍601*⪎⋱⫍AA8)⪢(⪎⋱⫍3483⋓⪎⋱⫍2089)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1029,"operation_count":3,"complexity_ratio":343.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1015,"base":13},"right_expr":{"type":"numeric_atoms","value":1828,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7374,"base":13},"right_expr":{"type":"numeric_atoms","value":4507,"base":13}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","T2fj7uvVaJ"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":2},{"info":"number node, value=1828","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=1828, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1855420","layer":1},{"info":"number node, value=7374","layer":2},{"info":"number node, value=4507","layer":2},{"info":"compute binary expreesion, left_input=7374, right_input=4507, op_id = T2fj7uvVaJ binary_op_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=1855420, 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":13,"result_base":13,"text":"(⪎⋱⫍601*⪎⋱⫍AA8)⪢(⪎⋱⫍3483⋓⪎⋱⫍2089)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍601*⪎⋱⫍AA8)⪢(⪎⋱⫍3483⋓⪎⋱⫍2089)","cot":[{"info":"⪎⋱⫍601*⪎⋱⫍AA8=⪎⋱⫍4CC6A8","layer":1},{"info":"⪎⋱⫍3483⋓⪎⋱⫍2089=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍4CC6A8⪢⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":185,"expression_no_base_symbol":"($3497$⩠)⪢($2214$⨎$2121$)","expression":"(⪎⋱⫍1790⩠)⪢(⪎⋱⫍1014⨎⪎⋱⫍C72)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2140,"operation_count":3,"complexity_ratio":713.3333333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3497,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2214,"base":13},"right_expr":{"type":"numeric_atoms","value":2121,"base":13}}},"used_operators":["dWAJyo7jo9","sJAwomhLZr","rJVOvQCfKK"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3497","layer":2},{"info":"compute unary expreesion, input=3497, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=2214","layer":2},{"info":"number node, value=2121","layer":2},{"info":"compute binary expreesion, left_input=2214, right_input=2121, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2121","layer":1},{"info":"compute binary expreesion, left_input=0, 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1790⩠)⪢(⪎⋱⫍1014⨎⪎⋱⫍C72)=NaN","reverse_text":"NaN=(⪎⋱⫍1790⩠)⪢(⪎⋱⫍1014⨎⪎⋱⫍C72)","cot":[{"info":"⪎⋱⫍1790⩠=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1014⨎⪎⋱⫍C72=⪎⋱⫍C72","layer":1},{"info":"⪎⋱⫍0⪢⪎⋱⫍C72=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"$1202$⨓$2649$⨸⪁$1284$⊴$1634$","expression":"⪎⋱⫍716⨓⪎⋱⫍128A⨸⪁⪎⋱⫍77A⊴⪎⋱⫍989","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4298,"operation_count":3,"complexity_ratio":1432.6666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1202,"base":13},"right_expr":{"type":"numeric_atoms","value":2649,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1284,"base":13},"right_expr":{"type":"numeric_atoms","value":1634,"base":13}}},"used_operators":["g55IO6H4Gj","3ViojmjbAp","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1202","layer":2},{"info":"number node, value=2649","layer":2},{"info":"compute binary expreesion, left_input=1202, right_input=2649, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2652","layer":1},{"info":"number node, value=1284","layer":2},{"info":"number node, value=1634","layer":2},{"info":"compute binary expreesion, left_input=1284, right_input=1634, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2652, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍716⨓⪎⋱⫍128A⨸⪁⪎⋱⫍77A⊴⪎⋱⫍989=NaN","reverse_text":"NaN=⪎⋱⫍716⨓⪎⋱⫍128A⨸⪁⪎⋱⫍77A⊴⪎⋱⫍989","cot":[{"info":"⪎⋱⫍716⨓⪎⋱⫍128A=⪎⋱⫍-1290","layer":1},{"info":"⪎⋱⫍77A⊴⪎⋱⫍989=NaN","layer":1},{"info":"⪎⋱⫍-1290⨸⪁NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"$1135$∲⫓$1582$⪨≂($2216$⫌⩹⨱)","expression":"⪎⋱⫍694∲⫓⪎⋱⫍949⪨≂(⪎⋱⫍1016⫌⩹⨱)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1135,"base":13},"right_expr":{"type":"numeric_atoms","value":1582,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2216,"base":13}}},"used_operators":["sdazOOVcIp","i8ToyICDmI","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-5357","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=1135, right_input=1582, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2216","layer":2},{"info":"compute unary expreesion, input=2216, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5833","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5833, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11564","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍694∲⫓⪎⋱⫍949⪨≂(⪎⋱⫍1016⫌⩹⨱)=⪎⋱⫍-5357","reverse_text":"⪎⋱⫍-5357=⪎⋱⫍694∲⫓⪎⋱⫍949⪨≂(⪎⋱⫍1016⫌⩹⨱)","cot":[{"info":"⪎⋱⫍694∲⫓⪎⋱⫍949=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1016⫌⩹⨱=⪎⋱⫍2869","layer":1},{"info":"⪎⋱⫍0⪨≂⪎⋱⫍2869=⪎⋱⫍-5357","layer":0}]}
{"id":188,"expression_no_base_symbol":"≉$1671$≭$2219$","expression":"≉⪎⋱⫍9B7≭⪎⋱⫍1019","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1671,"base":13},"right_expr":{"type":"numeric_atoms","value":2219,"base":13}}},"used_operators":["e1ybzncUwg","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1671","layer":2},{"info":"number node, value=2219","layer":2},{"info":"compute binary expreesion, left_input=1671, right_input=2219, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"≉⪎⋱⫍9B7≭⪎⋱⫍1019=NaN","reverse_text":"NaN=≉⪎⋱⫍9B7≭⪎⋱⫍1019","cot":[{"info":"⪎⋱⫍9B7≭⪎⋱⫍1019=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"($4247$⋝⋈⪟$4293$)∀⇚≩(⪝⪂⫅$2885$)","expression":"(⪎⋱⫍1C19⋝⋈⪟⪎⋱⫍1C53)∀⇚≩(⪝⪂⫅⪎⋱⫍140C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29882,"operation_count":3,"complexity_ratio":9960.666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4247,"base":13},"right_expr":{"type":"numeric_atoms","value":4293,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2885,"base":13}}},"used_operators":["LRNGc0VcxI","2DDjHMKMc0","XTarYq4gQB"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4247","layer":2},{"info":"number node, value=4293","layer":2},{"info":"compute binary expreesion, left_input=4247, right_input=4293, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4247","layer":1},{"info":"number node, value=2885","layer":2},{"info":"compute unary expreesion, input=2885, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-424095","layer":1},{"info":"compute binary expreesion, left_input=4247, right_input=-424095, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"(⪎⋱⫍1C19⋝⋈⪟⪎⋱⫍1C53)∀⇚≩(⪝⪂⫅⪎⋱⫍140C)=NaN","reverse_text":"NaN=(⪎⋱⫍1C19⋝⋈⪟⪎⋱⫍1C53)∀⇚≩(⪝⪂⫅⪎⋱⫍140C)","cot":[{"info":"⪎⋱⫍1C19⋝⋈⪟⪎⋱⫍1C53=⪎⋱⫍1C19","layer":1},{"info":"⪝⪂⫅⪎⋱⫍140C=⪎⋱⫍-11B059","layer":1},{"info":"⪎⋱⫍1C19∀⇚≩⪎⋱⫍-11B059=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"$8017$⊴$2867$⨳⩥⨓($2695$⋷$5851$)","expression":"⪎⋱⫍3859⊴⪎⋱⫍13C7⨳⩥⨓(⪎⋱⫍12C4⋷⪎⋱⫍2881)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17700,"operation_count":3,"complexity_ratio":5900.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8017,"base":13},"right_expr":{"type":"numeric_atoms","value":2867,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2695,"base":13},"right_expr":{"type":"numeric_atoms","value":5851,"base":13}}},"used_operators":["nCS4ZIUYfx","Nsiff2A1zJ","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8017","layer":2},{"info":"number node, value=2867","layer":2},{"info":"compute binary expreesion, left_input=8017, right_input=2867, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2695","layer":2},{"info":"number node, value=5851","layer":2},{"info":"compute binary expreesion, left_input=2695, right_input=5851, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9007","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9007, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3859⊴⪎⋱⫍13C7⨳⩥⨓(⪎⋱⫍12C4⋷⪎⋱⫍2881)=NaN","reverse_text":"NaN=⪎⋱⫍3859⊴⪎⋱⫍13C7⨳⩥⨓(⪎⋱⫍12C4⋷⪎⋱⫍2881)","cot":[{"info":"⪎⋱⫍3859⊴⪎⋱⫍13C7=NaN","layer":1},{"info":"⪎⋱⫍12C4⋷⪎⋱⫍2881=⪎⋱⫍413B","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍413B=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"($1772$/$1564$)∀⇚≩($4764$⩚⊴⇥$1079$)","expression":"(⪎⋱⫍A64/⪎⋱⫍934)∀⇚≩(⪎⋱⫍2226⩚⊴⇥⪎⋱⫍650)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1772,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4764,"base":13},"right_expr":{"type":"numeric_atoms","value":1079,"base":13}}},"used_operators":["LRNGc0VcxI","XhwjNDsVaA","NTOWxs364D"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-4A3A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=1772, right_input=1564, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=4764","layer":2},{"info":"number node, value=1079","layer":2},{"info":"compute binary expreesion, left_input=4764, right_input=1079, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5964","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-5964, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-10527","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A64/⪎⋱⫍934)∀⇚≩(⪎⋱⫍2226⩚⊴⇥⪎⋱⫍650)=⪎⋱⫍-4A3A","reverse_text":"⪎⋱⫍-4A3A=(⪎⋱⫍A64/⪎⋱⫍934)∀⇚≩(⪎⋱⫍2226⩚⊴⇥⪎⋱⫍650)","cot":[{"info":"⪎⋱⫍A64/⪎⋱⫍934=⪎⋱⫍1","layer":1},{"info":"⪎⋱⫍2226⩚⊴⇥⪎⋱⫍650=⪎⋱⫍-293A","layer":1},{"info":"⪎⋱⫍1∀⇚≩⪎⋱⫍-293A=⪎⋱⫍-4A3A","layer":0}]}
{"id":192,"expression_no_base_symbol":"($3187$⊭∹↮)⪒(+⊝⨔$3582$)","expression":"(⪎⋱⫍15B2⊭∹↮)⪒(+⊝⨔⪎⋱⫍1827)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3187,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3582,"base":13}}},"used_operators":["f6k1SAg4EE","xNBdhnnwKq","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍-3795","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3187","layer":2},{"info":"compute unary expreesion, input=3187, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6374","layer":1},{"info":"number node, value=3582","layer":2},{"info":"compute unary expreesion, input=3582, 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=6374, right_input=1522, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7896","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍15B2⊭∹↮)⪒(+⊝⨔⪎⋱⫍1827)=⪎⋱⫍-3795","reverse_text":"⪎⋱⫍-3795=(⪎⋱⫍15B2⊭∹↮)⪒(+⊝⨔⪎⋱⫍1827)","cot":[{"info":"⪎⋱⫍15B2⊭∹↮=⪎⋱⫍2B94","layer":1},{"info":"+⊝⨔⪎⋱⫍1827=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍2B94⪒⪎⋱⫍901=⪎⋱⫍-3795","layer":0}]}
{"id":193,"expression_no_base_symbol":"$5668$⨪↰⇹$1450$⩷∴($3943$≣⋋)","expression":"⪎⋱⫍2770⨪↰⇹⪎⋱⫍877⩷∴(⪎⋱⫍1A44≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6188,"operation_count":3,"complexity_ratio":2062.6666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5668,"base":13},"right_expr":{"type":"numeric_atoms","value":1450,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3943,"base":13}}},"used_operators":["9FxExcQeMw","tmPS8pqC7x","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","rJVOvQCfKK","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍51B7","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5668","layer":2},{"info":"number node, value=1450","layer":2},{"info":"compute binary expreesion, left_input=5668, right_input=1450, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5668","layer":1},{"info":"number node, value=3943","layer":2},{"info":"compute unary expreesion, input=3943, 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=5668, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11304","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2770⨪↰⇹⪎⋱⫍877⩷∴(⪎⋱⫍1A44≣⋋)=⪎⋱⫍51B7","reverse_text":"⪎⋱⫍51B7=⪎⋱⫍2770⨪↰⇹⪎⋱⫍877⩷∴(⪎⋱⫍1A44≣⋋)","cot":[{"info":"⪎⋱⫍2770⨪↰⇹⪎⋱⫍877=⪎⋱⫍2770","layer":1},{"info":"⪎⋱⫍1A44≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2770⩷∴⪎⋱⫍0=⪎⋱⫍51B7","layer":0}]}
{"id":194,"expression_no_base_symbol":"($1265$⪮%⊝$2437$)⨟⋌⩍($1989$⊉≛↸$1975$)","expression":"(⪎⋱⫍764⪮%⊝⪎⋱⫍1156)⨟⋌⩍(⪎⋱⫍BA0⊉≛↸⪎⋱⫍B8C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1265,"base":13},"right_expr":{"type":"numeric_atoms","value":2437,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1989,"base":13},"right_expr":{"type":"numeric_atoms","value":1975,"base":13}}},"used_operators":["rGHVDoGpnC","IWmyXbctLI","DZ8iAZOCBD"],"dependent_operators":["Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":2},{"info":"number node, value=2437","layer":2},{"info":"compute binary expreesion, left_input=1265, right_input=2437, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2846","layer":1},{"info":"number node, value=1989","layer":2},{"info":"number node, value=1975","layer":2},{"info":"compute binary expreesion, left_input=1989, right_input=1975, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3978","layer":1},{"info":"compute binary expreesion, left_input=2846, right_input=3978, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍764⪮%⊝⪎⋱⫍1156)⨟⋌⩍(⪎⋱⫍BA0⊉≛↸⪎⋱⫍B8C)=NaN","reverse_text":"NaN=(⪎⋱⫍764⪮%⊝⪎⋱⫍1156)⨟⋌⩍(⪎⋱⫍BA0⊉≛↸⪎⋱⫍B8C)","cot":[{"info":"⪎⋱⫍764⪮%⊝⪎⋱⫍1156=⪎⋱⫍13AC","layer":1},{"info":"⪎⋱⫍BA0⊉≛↸⪎⋱⫍B8C=⪎⋱⫍1A70","layer":1},{"info":"⪎⋱⫍13AC⨟⋌⩍⪎⋱⫍1A70=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"($3819$↺$1299$)+⇶⊼($4338$+⇶⊼$7081$)","expression":"(⪎⋱⫍197A↺⪎⋱⫍78C)+⇶⊼(⪎⋱⫍1C89+⇶⊼⪎⋱⫍32B9)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3819,"base":13},"right_expr":{"type":"numeric_atoms","value":1299,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4338,"base":13},"right_expr":{"type":"numeric_atoms","value":7081,"base":13}}},"used_operators":["TpPTUOHfaN","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3819","layer":2},{"info":"number node, value=1299","layer":2},{"info":"compute binary expreesion, left_input=3819, right_input=1299, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1299","layer":1},{"info":"number node, value=4338","layer":2},{"info":"number node, value=7081","layer":2},{"info":"compute binary expreesion, left_input=4338, right_input=7081, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1299, 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":13,"result_base":13,"text":"(⪎⋱⫍197A↺⪎⋱⫍78C)+⇶⊼(⪎⋱⫍1C89+⇶⊼⪎⋱⫍32B9)=NaN","reverse_text":"NaN=(⪎⋱⫍197A↺⪎⋱⫍78C)+⇶⊼(⪎⋱⫍1C89+⇶⊼⪎⋱⫍32B9)","cot":[{"info":"⪎⋱⫍197A↺⪎⋱⫍78C=⪎⋱⫍78C","layer":1},{"info":"⪎⋱⫍1C89+⇶⊼⪎⋱⫍32B9=NaN","layer":1},{"info":"⪎⋱⫍78C+⇶⊼NaN=NaN","layer":0}]}
{"id":196,"expression_no_base_symbol":"($3180$*$5929$)⫸⊐($5928$-$1222$)","expression":"(⪎⋱⫍15A8*⪎⋱⫍2911)⫸⊐(⪎⋱⫍2910-⪎⋱⫍730)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3205,"operation_count":3,"complexity_ratio":1068.3333333333333,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3180,"base":13},"right_expr":{"type":"numeric_atoms","value":5929,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5928,"base":13},"right_expr":{"type":"numeric_atoms","value":1222,"base":13}}},"used_operators":["mqXw5SEYmG","9HNa5Wba9A","rysDP5nf3Z"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"⪎⋱⫍8685","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3180","layer":2},{"info":"number node, value=5929","layer":2},{"info":"compute binary expreesion, left_input=3180, right_input=5929, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18854220","layer":1},{"info":"number node, value=5928","layer":2},{"info":"number node, value=1222","layer":2},{"info":"compute binary expreesion, left_input=5928, right_input=1222, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4706","layer":1},{"info":"compute binary expreesion, left_input=18854220, right_input=4706, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18699","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍15A8*⪎⋱⫍2911)⫸⊐(⪎⋱⫍2910-⪎⋱⫍730)=⪎⋱⫍8685","reverse_text":"⪎⋱⫍8685=(⪎⋱⫍15A8*⪎⋱⫍2911)⫸⊐(⪎⋱⫍2910-⪎⋱⫍730)","cot":[{"info":"⪎⋱⫍15A8*⪎⋱⫍2911=⪎⋱⫍3BA1A58","layer":1},{"info":"⪎⋱⫍2910-⪎⋱⫍730=⪎⋱⫍21B0","layer":1},{"info":"⪎⋱⫍3BA1A58⫸⊐⪎⋱⫍21B0=⪎⋱⫍8685","layer":0}]}
{"id":197,"expression_no_base_symbol":"(⪝⪂⫅$3290$)⊴(↣≠⋷$5121$)","expression":"(⪝⪂⫅⪎⋱⫍1661)⊴(↣≠⋷⪎⋱⫍243C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":160,"operation_count":3,"complexity_ratio":53.333333333333336,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3290,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5121,"base":13}}},"used_operators":["Nsiff2A1zJ","XTarYq4gQB","Asc51vEJeQ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":2},{"info":"compute unary expreesion, input=3290, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-483630","layer":1},{"info":"number node, value=5121","layer":2},{"info":"compute unary expreesion, input=5121, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-483630, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍1661)⊴(↣≠⋷⪎⋱⫍243C)=NaN","reverse_text":"NaN=(⪝⪂⫅⪎⋱⫍1661)⊴(↣≠⋷⪎⋱⫍243C)","cot":[{"info":"⪝⪂⫅⪎⋱⫍1661=⪎⋱⫍-13C194","layer":1},{"info":"↣≠⋷⪎⋱⫍243C=NaN","layer":1},{"info":"⪎⋱⫍-13C194⊴NaN=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"(⨰⫟⨤$5437$)⨪↰⇹($4449$⨳⩥⨓$5834$)","expression":"(⨰⫟⨤⪎⋱⫍2623)⨪↰⇹(⪎⋱⫍2043⨳⩥⨓⪎⋱⫍286A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20912,"operation_count":3,"complexity_ratio":6970.666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5437,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4449,"base":13},"right_expr":{"type":"numeric_atoms","value":5834,"base":13}}},"used_operators":["tmPS8pqC7x","Tw270M8GLb","nCS4ZIUYfx"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5437","layer":2},{"info":"compute unary expreesion, input=5437, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4449","layer":2},{"info":"number node, value=5834","layer":2},{"info":"compute binary expreesion, left_input=4449, right_input=5834, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1385","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1385, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍2623)⨪↰⇹(⪎⋱⫍2043⨳⩥⨓⪎⋱⫍286A)=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍2623)⨪↰⇹(⪎⋱⫍2043⨳⩥⨓⪎⋱⫍286A)","cot":[{"info":"⨰⫟⨤⪎⋱⫍2623=NaN","layer":1},{"info":"⪎⋱⫍2043⨳⩥⨓⪎⋱⫍286A=⪎⋱⫍827","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍827=NaN","layer":0}]}
{"id":199,"expression_no_base_symbol":"($2611$⇷$2869$)⪢(↩$6886$)","expression":"(⪎⋱⫍125B⇷⪎⋱⫍13C9)⪢(↩⪎⋱⫍3199)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88884,"operation_count":3,"complexity_ratio":29628.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2611,"base":13},"right_expr":{"type":"numeric_atoms","value":2869,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6886,"base":13}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","jLgFTUHLKL"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2611","layer":2},{"info":"number node, value=2869","layer":2},{"info":"compute binary expreesion, left_input=2611, right_input=2869, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5738","layer":1},{"info":"number node, value=6886","layer":2},{"info":"compute unary expreesion, input=6886, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-52308","layer":1},{"info":"compute binary expreesion, left_input=5738, right_input=-52308, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⪎⋱⫍125B⇷⪎⋱⫍13C9)⪢(↩⪎⋱⫍3199)=NaN","reverse_text":"NaN=(⪎⋱⫍125B⇷⪎⋱⫍13C9)⪢(↩⪎⋱⫍3199)","cot":[{"info":"⪎⋱⫍125B⇷⪎⋱⫍13C9=⪎⋱⫍27C5","layer":1},{"info":"↩⪎⋱⫍3199=⪎⋱⫍-1AA69","layer":1},{"info":"⪎⋱⫍27C5⪢⪎⋱⫍-1AA69=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"⊄⩳↩($1912$⊉≛↸$2173$)","expression":"⊄⩳↩(⪎⋱⫍B41⊉≛↸⪎⋱⫍CB2)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1912,"base":13},"right_expr":{"type":"numeric_atoms","value":2173,"base":13}}},"used_operators":["8w2t5hMYqp","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-52B6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":2},{"info":"number node, value=2173","layer":2},{"info":"compute binary expreesion, left_input=1912, right_input=2173, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3824","layer":1},{"info":"compute unary expreesion, input=3824, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11472","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⪎⋱⫍B41⊉≛↸⪎⋱⫍CB2)=⪎⋱⫍-52B6","reverse_text":"⪎⋱⫍-52B6=⊄⩳↩(⪎⋱⫍B41⊉≛↸⪎⋱⫍CB2)","cot":[{"info":"⪎⋱⫍B41⊉≛↸⪎⋱⫍CB2=⪎⋱⫍1982","layer":1},{"info":"⊄⩳↩⪎⋱⫍1982=⪎⋱⫍-52B6","layer":0}]}
{"id":201,"expression_no_base_symbol":"($1313$*$2151$)⪮%⊝($4768$+$9257$)","expression":"(⪎⋱⫍7A0*⪎⋱⫍C96)⪮%⊝(⪎⋱⫍222A+⪎⋱⫍42A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1323,"operation_count":3,"complexity_ratio":441.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1313,"base":13},"right_expr":{"type":"numeric_atoms","value":2151,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4768,"base":13},"right_expr":{"type":"numeric_atoms","value":9257,"base":13}}},"used_operators":["IWmyXbctLI","9HNa5Wba9A","W4YGzv6Whe"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe"],"result":"⪎⋱⫍122A214","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":2},{"info":"number node, value=2151","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=2151, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2824263","layer":1},{"info":"number node, value=4768","layer":2},{"info":"number node, value=9257","layer":2},{"info":"compute binary expreesion, left_input=4768, right_input=9257, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14025","layer":1},{"info":"compute binary expreesion, left_input=2824263, right_input=14025, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5648842","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍7A0*⪎⋱⫍C96)⪮%⊝(⪎⋱⫍222A+⪎⋱⫍42A1)=⪎⋱⫍122A214","reverse_text":"⪎⋱⫍122A214=(⪎⋱⫍7A0*⪎⋱⫍C96)⪮%⊝(⪎⋱⫍222A+⪎⋱⫍42A1)","cot":[{"info":"⪎⋱⫍7A0*⪎⋱⫍C96=⪎⋱⫍77B680","layer":1},{"info":"⪎⋱⫍222A+⪎⋱⫍42A1=⪎⋱⫍64CB","layer":1},{"info":"⪎⋱⫍77B680⪮%⊝⪎⋱⫍64CB=⪎⋱⫍122A214","layer":0}]}
{"id":202,"expression_no_base_symbol":"($6545$⫡⨏$3614$)∸","expression":"(⪎⋱⫍2C96⫡⨏⪎⋱⫍1850)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":184,"operation_count":2,"complexity_ratio":92.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6545,"base":13},"right_expr":{"type":"numeric_atoms","value":3614,"base":13}}},"used_operators":["o20kRiQErp","QMFrweE19q"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6545","layer":2},{"info":"number node, value=3614","layer":2},{"info":"compute binary expreesion, left_input=6545, right_input=3614, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40736","layer":1},{"info":"compute unary expreesion, input=40736, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2C96⫡⨏⪎⋱⫍1850)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍2C96⫡⨏⪎⋱⫍1850)∸","cot":[{"info":"⪎⋱⫍2C96⫡⨏⪎⋱⫍1850=⪎⋱⫍15707","layer":1},{"info":"⪎⋱⫍15707∸=⪎⋱⫍108","layer":0}]}
{"id":203,"expression_no_base_symbol":"(⨈⫕$2693$)+($3015$⋫)","expression":"(⨈⫕⪎⋱⫍12C2)+(⪎⋱⫍14AC⋫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3402,"operation_count":3,"complexity_ratio":1134.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2693,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3015,"base":13}}},"used_operators":["W4YGzv6Whe","megm06wKyl","JL8yIekQnl"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x"],"result":"⪎⋱⫍1494","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2693","layer":2},{"info":"compute unary expreesion, input=2693, 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=3015","layer":2},{"info":"compute unary expreesion, input=3015, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3015","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=3015, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2994","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍12C2)+(⪎⋱⫍14AC⋫)=⪎⋱⫍1494","reverse_text":"⪎⋱⫍1494=(⨈⫕⪎⋱⫍12C2)+(⪎⋱⫍14AC⋫)","cot":[{"info":"⨈⫕⪎⋱⫍12C2=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍14AC⋫=⪎⋱⫍14AC","layer":1},{"info":"⪎⋱⫍-18+⪎⋱⫍14AC=⪎⋱⫍1494","layer":0}]}
{"id":204,"expression_no_base_symbol":"($3602$≦≮≮)≧⫂∧$1024$⇷$1621$","expression":"(⪎⋱⫍1841≦≮≮)≧⫂∧⪎⋱⫍60A⇷⪎⋱⫍979","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14346,"operation_count":3,"complexity_ratio":4782.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3602,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":1621,"base":13}}},"used_operators":["Ph9nP6C5qx","D4vGDi5EA2","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍1350","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3602","layer":2},{"info":"compute unary expreesion, input=3602, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10806","layer":1},{"info":"number node, value=1024","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=1621, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3242","layer":1},{"info":"compute binary expreesion, left_input=-10806, right_input=3242, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2769","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1841≦≮≮)≧⫂∧⪎⋱⫍60A⇷⪎⋱⫍979=⪎⋱⫍1350","reverse_text":"⪎⋱⫍1350=(⪎⋱⫍1841≦≮≮)≧⫂∧⪎⋱⫍60A⇷⪎⋱⫍979","cot":[{"info":"⪎⋱⫍1841≦≮≮=⪎⋱⫍-4BC3","layer":1},{"info":"⪎⋱⫍60A⇷⪎⋱⫍979=⪎⋱⫍1625","layer":1},{"info":"⪎⋱⫍-4BC3≧⫂∧⪎⋱⫍1625=⪎⋱⫍1350","layer":0}]}
{"id":205,"expression_no_base_symbol":"(↯⪼$1248$)⨪↰⇹($4471$⪠⩆⊳)","expression":"(↯⪼⪎⋱⫍750)⨪↰⇹(⪎⋱⫍205C⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1248,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4471,"base":13}}},"used_operators":["tmPS8pqC7x","8jW3W4yZS5","JLbD19bQDL"],"dependent_operators":["rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1248","layer":2},{"info":"compute unary expreesion, input=1248, 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=4471","layer":2},{"info":"compute unary expreesion, input=4471, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, 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=21","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍750)⨪↰⇹(⪎⋱⫍205C⪠⩆⊳)=⪎⋱⫍18","reverse_text":"⪎⋱⫍18=(↯⪼⪎⋱⫍750)⨪↰⇹(⪎⋱⫍205C⪠⩆⊳)","cot":[{"info":"↯⪼⪎⋱⫍750=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍205C⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-18⨪↰⇹⪎⋱⫍0=⪎⋱⫍18","layer":0}]}
{"id":206,"expression_no_base_symbol":"∥⊫$1822$≹⇙⪍$2925$","expression":"∥⊫⪎⋱⫍AA2≹⇙⪍⪎⋱⫍1440","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1822,"base":13},"right_expr":{"type":"numeric_atoms","value":2925,"base":13}}},"used_operators":["P8v4zCKN1o","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1822","layer":2},{"info":"number node, value=2925","layer":2},{"info":"compute binary expreesion, left_input=1822, right_input=2925, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫⪎⋱⫍AA2≹⇙⪍⪎⋱⫍1440=NaN","reverse_text":"NaN=∥⊫⪎⋱⫍AA2≹⇙⪍⪎⋱⫍1440","cot":[{"info":"⪎⋱⫍AA2≹⇙⪍⪎⋱⫍1440=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"(⇁⨣⪵$1282$)↙($1540$⪒$2095$)","expression":"(⇁⨣⪵⪎⋱⫍778)↙(⪎⋱⫍916⪒⪎⋱⫍C52)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1282,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1540,"base":13},"right_expr":{"type":"numeric_atoms","value":2095,"base":13}}},"used_operators":["yyfyN0ffXY","inkyxCbjAn","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":2},{"info":"compute unary expreesion, input=1282, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1540","layer":2},{"info":"number node, value=2095","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=2095, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3635","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3635, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍778)↙(⪎⋱⫍916⪒⪎⋱⫍C52)=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍778)↙(⪎⋱⫍916⪒⪎⋱⫍C52)","cot":[{"info":"⇁⨣⪵⪎⋱⫍778=NaN","layer":1},{"info":"⪎⋱⫍916⪒⪎⋱⫍C52=⪎⋱⫍-1868","layer":1},{"info":"NaN↙⪎⋱⫍-1868=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"$5439$∑⇟⊟$2233$↺$4146$⨓$2510$","expression":"⪎⋱⫍2625∑⇟⊟⪎⋱⫍102A↺⪎⋱⫍1B6C⨓⪎⋱⫍11B1","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2519,"operation_count":3,"complexity_ratio":839.6666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5439,"base":13},"right_expr":{"type":"numeric_atoms","value":2233,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4146,"base":13},"right_expr":{"type":"numeric_atoms","value":2510,"base":13}}},"used_operators":["7j4O788W3g","U7g4x0WXJJ","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-11B4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5439","layer":2},{"info":"number node, value=2233","layer":2},{"info":"compute binary expreesion, left_input=5439, right_input=2233, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4146","layer":2},{"info":"number node, value=2510","layer":2},{"info":"compute binary expreesion, left_input=4146, right_input=2510, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2513","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2513, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2513","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2625∑⇟⊟⪎⋱⫍102A↺⪎⋱⫍1B6C⨓⪎⋱⫍11B1=⪎⋱⫍-11B4","reverse_text":"⪎⋱⫍-11B4=⪎⋱⫍2625∑⇟⊟⪎⋱⫍102A↺⪎⋱⫍1B6C⨓⪎⋱⫍11B1","cot":[{"info":"⪎⋱⫍2625∑⇟⊟⪎⋱⫍102A=NaN","layer":1},{"info":"⪎⋱⫍1B6C⨓⪎⋱⫍11B1=⪎⋱⫍-11B4","layer":1},{"info":"NaN↺⪎⋱⫍-11B4=⪎⋱⫍-11B4","layer":0}]}
{"id":209,"expression_no_base_symbol":"$1592$≭$2649$%$4186$↙$6606$","expression":"⪎⋱⫍956≭⪎⋱⫍128A%⪎⋱⫍1BA0↙⪎⋱⫍3012","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6611,"operation_count":3,"complexity_ratio":2203.6666666666665,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1592,"base":13},"right_expr":{"type":"numeric_atoms","value":2649,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4186,"base":13},"right_expr":{"type":"numeric_atoms","value":6606,"base":13}}},"used_operators":["k8jYdgA6NY","rxpJgHHUmx","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":2},{"info":"number node, value=2649","layer":2},{"info":"compute binary expreesion, left_input=1592, right_input=2649, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4186","layer":2},{"info":"number node, value=6606","layer":2},{"info":"compute binary expreesion, left_input=4186, right_input=6606, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-19818, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍956≭⪎⋱⫍128A%⪎⋱⫍1BA0↙⪎⋱⫍3012=NaN","reverse_text":"NaN=⪎⋱⫍956≭⪎⋱⫍128A%⪎⋱⫍1BA0↙⪎⋱⫍3012","cot":[{"info":"⪎⋱⫍956≭⪎⋱⫍128A=NaN","layer":1},{"info":"⪎⋱⫍1BA0↙⪎⋱⫍3012=⪎⋱⫍-9036","layer":1},{"info":"NaN%⪎⋱⫍-9036=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"$1580$⨟⋌⩍$4392$⋓(↩$5531$)","expression":"⪎⋱⫍947⨟⋌⩍⪎⋱⫍1CCB⋓(↩⪎⋱⫍2696)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1580,"base":13},"right_expr":{"type":"numeric_atoms","value":4392,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5531,"base":13}}},"used_operators":["T2fj7uvVaJ","rGHVDoGpnC","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1580","layer":2},{"info":"number node, value=4392","layer":2},{"info":"compute binary expreesion, left_input=1580, right_input=4392, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5531","layer":2},{"info":"compute unary expreesion, input=5531, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-41468","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-41468, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"⪎⋱⫍947⨟⋌⩍⪎⋱⫍1CCB⋓(↩⪎⋱⫍2696)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍947⨟⋌⩍⪎⋱⫍1CCB⋓(↩⪎⋱⫍2696)","cot":[{"info":"⪎⋱⫍947⨟⋌⩍⪎⋱⫍1CCB=NaN","layer":1},{"info":"↩⪎⋱⫍2696=⪎⋱⫍-15B4B","layer":1},{"info":"NaN⋓⪎⋱⫍-15B4B=⪎⋱⫍0","layer":0}]}
{"id":211,"expression_no_base_symbol":"$7003$≎⊠⪸$6049$+($1113$⨵⪆$3186$)","expression":"⪎⋱⫍3259≎⊠⪸⪎⋱⫍29A4+(⪎⋱⫍678⨵⪆⪎⋱⫍15B1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7003,"base":13},"right_expr":{"type":"numeric_atoms","value":6049,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1113,"base":13},"right_expr":{"type":"numeric_atoms","value":3186,"base":13}}},"used_operators":["W4YGzv6Whe","bJkvcejdHO","2DQ55sFlQl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍4B6573","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7003","layer":2},{"info":"number node, value=6049","layer":2},{"info":"compute binary expreesion, left_input=7003, right_input=6049, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1813304","layer":1},{"info":"number node, value=1113","layer":2},{"info":"number node, value=3186","layer":2},{"info":"compute binary expreesion, left_input=1113, right_input=3186, 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=1813304, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1813464","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3259≎⊠⪸⪎⋱⫍29A4+(⪎⋱⫍678⨵⪆⪎⋱⫍15B1)=⪎⋱⫍4B6573","reverse_text":"⪎⋱⫍4B6573=⪎⋱⫍3259≎⊠⪸⪎⋱⫍29A4+(⪎⋱⫍678⨵⪆⪎⋱⫍15B1)","cot":[{"info":"⪎⋱⫍3259≎⊠⪸⪎⋱⫍29A4=⪎⋱⫍4B647C","layer":1},{"info":"⪎⋱⫍678⨵⪆⪎⋱⫍15B1=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍4B647C+⪎⋱⫍C4=⪎⋱⫍4B6573","layer":0}]}
{"id":212,"expression_no_base_symbol":"≦∁$1507$⫸⊐$2263$","expression":"≦∁⪎⋱⫍8BC⫸⊐⪎⋱⫍1051","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1507,"base":13},"right_expr":{"type":"numeric_atoms","value":2263,"base":13}}},"used_operators":["9ICcGScMcE","mqXw5SEYmG"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍40A9","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1507","layer":2},{"info":"number node, value=2263","layer":2},{"info":"compute binary expreesion, left_input=1507, right_input=2263, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8927","layer":1},{"info":"compute unary expreesion, input=8927, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8927","layer":0}],"base":13,"result_base":13,"text":"≦∁⪎⋱⫍8BC⫸⊐⪎⋱⫍1051=⪎⋱⫍40A9","reverse_text":"⪎⋱⫍40A9=≦∁⪎⋱⫍8BC⫸⊐⪎⋱⫍1051","cot":[{"info":"⪎⋱⫍8BC⫸⊐⪎⋱⫍1051=⪎⋱⫍40A9","layer":1},{"info":"≦∁⪎⋱⫍40A9=⪎⋱⫍40A9","layer":0}]}
{"id":213,"expression_no_base_symbol":"$2305$⨪↰⇹$3032$⋷$2621$⨳⩥⨓$1655$","expression":"⪎⋱⫍1084⨪↰⇹⪎⋱⫍14C3⋷⪎⋱⫍1268⨳⩥⨓⪎⋱⫍9A4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2311,"operation_count":3,"complexity_ratio":770.3333333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2305,"base":13},"right_expr":{"type":"numeric_atoms","value":3032,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2621,"base":13},"right_expr":{"type":"numeric_atoms","value":1655,"base":13}}},"used_operators":["23Mk6UjR3U","tmPS8pqC7x","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-1C0C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2305","layer":2},{"info":"number node, value=3032","layer":2},{"info":"compute binary expreesion, left_input=2305, right_input=3032, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2305","layer":1},{"info":"number node, value=2621","layer":2},{"info":"number node, value=1655","layer":2},{"info":"compute binary expreesion, left_input=2621, right_input=1655, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-966","layer":1},{"info":"compute binary expreesion, left_input=2305, right_input=-966, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4237","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1084⨪↰⇹⪎⋱⫍14C3⋷⪎⋱⫍1268⨳⩥⨓⪎⋱⫍9A4=⪎⋱⫍-1C0C","reverse_text":"⪎⋱⫍-1C0C=⪎⋱⫍1084⨪↰⇹⪎⋱⫍14C3⋷⪎⋱⫍1268⨳⩥⨓⪎⋱⫍9A4","cot":[{"info":"⪎⋱⫍1084⨪↰⇹⪎⋱⫍14C3=⪎⋱⫍1084","layer":1},{"info":"⪎⋱⫍1268⨳⩥⨓⪎⋱⫍9A4=⪎⋱⫍-594","layer":1},{"info":"⪎⋱⫍1084⋷⪎⋱⫍-594=⪎⋱⫍-1C0C","layer":0}]}
{"id":214,"expression_no_base_symbol":"$1085$≹⇙⪍$1915$⫡⨏$2028$⨓$2213$","expression":"⪎⋱⫍656≹⇙⪍⪎⋱⫍B44⫡⨏⪎⋱⫍C00⨓⪎⋱⫍1013","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2227,"operation_count":3,"complexity_ratio":742.3333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":1915,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2028,"base":13},"right_expr":{"type":"numeric_atoms","value":2213,"base":13}}},"used_operators":["QMFrweE19q","AHs5Up7iyr","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":2},{"info":"number node, value=1915","layer":2},{"info":"compute binary expreesion, left_input=1085, right_input=1915, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2028","layer":2},{"info":"number node, value=2213","layer":2},{"info":"compute binary expreesion, left_input=2028, right_input=2213, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2216","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2216, op_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":13,"result_base":13,"text":"⪎⋱⫍656≹⇙⪍⪎⋱⫍B44⫡⨏⪎⋱⫍C00⨓⪎⋱⫍1013=NaN","reverse_text":"NaN=⪎⋱⫍656≹⇙⪍⪎⋱⫍B44⫡⨏⪎⋱⫍C00⨓⪎⋱⫍1013","cot":[{"info":"⪎⋱⫍656≹⇙⪍⪎⋱⫍B44=NaN","layer":1},{"info":"⪎⋱⫍C00⨓⪎⋱⫍1013=⪎⋱⫍-1016","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-1016=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"$5205$≎⊠⪸$2101$⪒$1475$≧⫂∧$1762$","expression":"⪎⋱⫍24A5≎⊠⪸⪎⋱⫍C58⪒⪎⋱⫍896≧⫂∧⪎⋱⫍A57","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5205,"base":13},"right_expr":{"type":"numeric_atoms","value":2101,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1475,"base":13},"right_expr":{"type":"numeric_atoms","value":1762,"base":13}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-382C95","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5205","layer":2},{"info":"number node, value=2101","layer":2},{"info":"compute binary expreesion, left_input=5205, right_input=2101, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1347622","layer":1},{"info":"number node, value=1475","layer":2},{"info":"number node, value=1762","layer":2},{"info":"compute binary expreesion, left_input=1475, right_input=1762, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1289","layer":1},{"info":"compute binary expreesion, left_input=1347622, right_input=1289, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1348911","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍24A5≎⊠⪸⪎⋱⫍C58⪒⪎⋱⫍896≧⫂∧⪎⋱⫍A57=⪎⋱⫍-382C95","reverse_text":"⪎⋱⫍-382C95=⪎⋱⫍24A5≎⊠⪸⪎⋱⫍C58⪒⪎⋱⫍896≧⫂∧⪎⋱⫍A57","cot":[{"info":"⪎⋱⫍24A5≎⊠⪸⪎⋱⫍C58=⪎⋱⫍382513","layer":1},{"info":"⪎⋱⫍896≧⫂∧⪎⋱⫍A57=⪎⋱⫍782","layer":1},{"info":"⪎⋱⫍382513⪒⪎⋱⫍782=⪎⋱⫍-382C95","layer":0}]}
{"id":216,"expression_no_base_symbol":"(+⊝⨔$4653$)⪄(≤/$3146$)","expression":"(+⊝⨔⪎⋱⫍216C)⪄(≤/⪎⋱⫍1580)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":135,"operation_count":3,"complexity_ratio":45.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4653,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3146,"base":13}}},"used_operators":["SUmda5xLS4","DhbWaqg5eL","eLAdDNolq6"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-74B96","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4653","layer":2},{"info":"compute unary expreesion, input=4653, 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=3146","layer":2},{"info":"compute unary expreesion, input=3146, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2662","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-2662, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-210697","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍216C)⪄(≤/⪎⋱⫍1580)=⪎⋱⫍-74B96","reverse_text":"⪎⋱⫍-74B96=(+⊝⨔⪎⋱⫍216C)⪄(≤/⪎⋱⫍1580)","cot":[{"info":"+⊝⨔⪎⋱⫍216C=⪎⋱⫍901","layer":1},{"info":"≤/⪎⋱⫍1580=⪎⋱⫍-129A","layer":1},{"info":"⪎⋱⫍901⪄⪎⋱⫍-129A=⪎⋱⫍-74B96","layer":0}]}
{"id":217,"expression_no_base_symbol":"$2532$⪛$1188$⨓(⨰⫟⨤$9185$)","expression":"⪎⋱⫍11CA⪛⪎⋱⫍705⨓(⨰⫟⨤⪎⋱⫍4247)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35912,"operation_count":3,"complexity_ratio":11970.666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2532,"base":13},"right_expr":{"type":"numeric_atoms","value":1188,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":9185,"base":13}}},"used_operators":["3ViojmjbAp","uFcxV4UQCh","Tw270M8GLb"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2532","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=2532, right_input=1188, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=156","layer":1},{"info":"number node, value=9185","layer":2},{"info":"compute unary expreesion, input=9185, 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=156, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍11CA⪛⪎⋱⫍705⨓(⨰⫟⨤⪎⋱⫍4247)=NaN","reverse_text":"NaN=⪎⋱⫍11CA⪛⪎⋱⫍705⨓(⨰⫟⨤⪎⋱⫍4247)","cot":[{"info":"⪎⋱⫍11CA⪛⪎⋱⫍705=⪎⋱⫍C0","layer":1},{"info":"⨰⫟⨤⪎⋱⫍4247=NaN","layer":1},{"info":"⪎⋱⫍C0⨓NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"$2574$⫡⨏$1185$⨵⪆($8151$⋷$2332$)","expression":"⪎⋱⫍1230⫡⨏⪎⋱⫍702⨵⪆(⪎⋱⫍3930⋷⪎⋱⫍10A5)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2574,"base":13},"right_expr":{"type":"numeric_atoms","value":1185,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8151,"base":13},"right_expr":{"type":"numeric_atoms","value":2332,"base":13}}},"used_operators":["2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2574","layer":2},{"info":"number node, value=1185","layer":2},{"info":"compute binary expreesion, left_input=2574, right_input=1185, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16023","layer":1},{"info":"number node, value=8151","layer":2},{"info":"number node, value=2332","layer":2},{"info":"compute binary expreesion, left_input=8151, right_input=2332, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3487","layer":1},{"info":"compute binary expreesion, left_input=16023, right_input=-3487, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1230⫡⨏⪎⋱⫍702⨵⪆(⪎⋱⫍3930⋷⪎⋱⫍10A5)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍1230⫡⨏⪎⋱⫍702⨵⪆(⪎⋱⫍3930⋷⪎⋱⫍10A5)","cot":[{"info":"⪎⋱⫍1230⫡⨏⪎⋱⫍702=⪎⋱⫍73A7","layer":1},{"info":"⪎⋱⫍3930⋷⪎⋱⫍10A5=⪎⋱⫍-1783","layer":1},{"info":"⪎⋱⫍73A7⨵⪆⪎⋱⫍-1783=⪎⋱⫍C4","layer":0}]}
{"id":219,"expression_no_base_symbol":"$7563$⇷$2273$⪨≂(⪝⪂⫅$3720$)","expression":"⪎⋱⫍359A⇷⪎⋱⫍105B⪨≂(⪝⪂⫅⪎⋱⫍1902)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":106043,"operation_count":3,"complexity_ratio":35347.666666666664,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7563,"base":13},"right_expr":{"type":"numeric_atoms","value":2273,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3720,"base":13}}},"used_operators":["sdazOOVcIp","mp7IySMOzn","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍2C7CB6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7563","layer":2},{"info":"number node, value=2273","layer":2},{"info":"compute binary expreesion, left_input=7563, right_input=2273, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4546","layer":1},{"info":"number node, value=3720","layer":2},{"info":"compute unary expreesion, input=3720, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-546840","layer":1},{"info":"compute binary expreesion, left_input=4546, right_input=-546840, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1102874","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍359A⇷⪎⋱⫍105B⪨≂(⪝⪂⫅⪎⋱⫍1902)=⪎⋱⫍2C7CB6","reverse_text":"⪎⋱⫍2C7CB6=⪎⋱⫍359A⇷⪎⋱⫍105B⪨≂(⪝⪂⫅⪎⋱⫍1902)","cot":[{"info":"⪎⋱⫍359A⇷⪎⋱⫍105B=⪎⋱⫍20B9","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1902=⪎⋱⫍-161B98","layer":1},{"info":"⪎⋱⫍20B9⪨≂⪎⋱⫍-161B98=⪎⋱⫍2C7CB6","layer":0}]}
{"id":220,"expression_no_base_symbol":"↣≠⋷($9899$↺$2851$)","expression":"↣≠⋷(⪎⋱⫍4676↺⪎⋱⫍13B4)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9899,"base":13},"right_expr":{"type":"numeric_atoms","value":2851,"base":13}}},"used_operators":["Asc51vEJeQ","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9899","layer":2},{"info":"number node, value=2851","layer":2},{"info":"compute binary expreesion, left_input=9899, right_input=2851, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2851","layer":1},{"info":"compute unary expreesion, input=2851, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(⪎⋱⫍4676↺⪎⋱⫍13B4)=NaN","reverse_text":"NaN=↣≠⋷(⪎⋱⫍4676↺⪎⋱⫍13B4)","cot":[{"info":"⪎⋱⫍4676↺⪎⋱⫍13B4=⪎⋱⫍13B4","layer":1},{"info":"↣≠⋷⪎⋱⫍13B4=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"($5579$∑⇟⊟$3648$)⪮%⊝($4833$↬$2889$)","expression":"(⪎⋱⫍2702∑⇟⊟⪎⋱⫍1878)⪮%⊝(⪎⋱⫍227A↬⪎⋱⫍1413)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5579,"base":13},"right_expr":{"type":"numeric_atoms","value":3648,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4833,"base":13},"right_expr":{"type":"numeric_atoms","value":2889,"base":13}}},"used_operators":["IWmyXbctLI","U7g4x0WXJJ","B5M0gjZbta"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5579","layer":2},{"info":"number node, value=3648","layer":2},{"info":"compute binary expreesion, left_input=5579, right_input=3648, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4833","layer":2},{"info":"number node, value=2889","layer":2},{"info":"compute binary expreesion, left_input=4833, right_input=2889, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍2702∑⇟⊟⪎⋱⫍1878)⪮%⊝(⪎⋱⫍227A↬⪎⋱⫍1413)=NaN","reverse_text":"NaN=(⪎⋱⫍2702∑⇟⊟⪎⋱⫍1878)⪮%⊝(⪎⋱⫍227A↬⪎⋱⫍1413)","cot":[{"info":"⪎⋱⫍2702∑⇟⊟⪎⋱⫍1878=NaN","layer":1},{"info":"⪎⋱⫍227A↬⪎⋱⫍1413=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"$1284$≎⊠⪸$4020$⪒$1160$*$1116$","expression":"⪎⋱⫍77A≎⊠⪸⪎⋱⫍1AA3⪒⪎⋱⫍6B3*⪎⋱⫍67B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1389,"operation_count":3,"complexity_ratio":463.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1284,"base":13},"right_expr":{"type":"numeric_atoms","value":4020,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1160,"base":13},"right_expr":{"type":"numeric_atoms","value":1116,"base":13}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"⪎⋱⫍-44C515","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":2},{"info":"number node, value=4020","layer":2},{"info":"compute binary expreesion, left_input=1284, right_input=4020, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=332083","layer":1},{"info":"number node, value=1160","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=1160, right_input=1116, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1294560","layer":1},{"info":"compute binary expreesion, left_input=332083, right_input=1294560, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1626643","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍77A≎⊠⪸⪎⋱⫍1AA3⪒⪎⋱⫍6B3*⪎⋱⫍67B=⪎⋱⫍-44C515","reverse_text":"⪎⋱⫍-44C515=⪎⋱⫍77A≎⊠⪸⪎⋱⫍1AA3⪒⪎⋱⫍6B3*⪎⋱⫍67B","cot":[{"info":"⪎⋱⫍77A≎⊠⪸⪎⋱⫍1AA3=⪎⋱⫍B81CB","layer":1},{"info":"⪎⋱⫍6B3*⪎⋱⫍67B=⪎⋱⫍364317","layer":1},{"info":"⪎⋱⫍B81CB⪒⪎⋱⫍364317=⪎⋱⫍-44C515","layer":0}]}
{"id":223,"expression_no_base_symbol":"↔($1762$≧⫂∧$3414$)","expression":"↔(⪎⋱⫍A57≧⫂∧⪎⋱⫍1728)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1762,"base":13},"right_expr":{"type":"numeric_atoms","value":3414,"base":13}}},"used_operators":["ruOEQAzv1W","Ph9nP6C5qx"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-12A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":2},{"info":"number node, value=3414","layer":2},{"info":"compute binary expreesion, left_input=1762, right_input=3414, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2941","layer":1},{"info":"compute unary expreesion, input=2941, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2668","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍A57≧⫂∧⪎⋱⫍1728)=⪎⋱⫍-12A3","reverse_text":"⪎⋱⫍-12A3=↔(⪎⋱⫍A57≧⫂∧⪎⋱⫍1728)","cot":[{"info":"⪎⋱⫍A57≧⫂∧⪎⋱⫍1728=⪎⋱⫍1453","layer":1},{"info":"↔⪎⋱⫍1453=⪎⋱⫍-12A3","layer":0}]}
{"id":224,"expression_no_base_symbol":"($2104$≦≮≮)∧","expression":"(⪎⋱⫍C5B≦≮≮)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2104,"base":13}}},"used_operators":["z63VuFQld9","D4vGDi5EA2"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"compute unary expreesion, input=2104, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6312","layer":1},{"info":"compute unary expreesion, input=-6312, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C5B≦≮≮)∧=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍C5B≦≮≮)∧","cot":[{"info":"⪎⋱⫍C5B≦≮≮=⪎⋱⫍-2B47","layer":1},{"info":"⪎⋱⫍-2B47∧=⪎⋱⫍0","layer":0}]}
{"id":225,"expression_no_base_symbol":"($5403$+⇶⊼$1620$)⨪↰⇹($3334$+⇶⊼$2948$)","expression":"(⪎⋱⫍25C8+⇶⊼⪎⋱⫍978)⨪↰⇹(⪎⋱⫍1696+⇶⊼⪎⋱⫍145A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5403,"base":13},"right_expr":{"type":"numeric_atoms","value":1620,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3334,"base":13},"right_expr":{"type":"numeric_atoms","value":2948,"base":13}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5403","layer":2},{"info":"number node, value=1620","layer":2},{"info":"compute binary expreesion, left_input=5403, right_input=1620, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3334","layer":2},{"info":"number node, value=2948","layer":2},{"info":"compute binary expreesion, left_input=3334, right_input=2948, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"(⪎⋱⫍25C8+⇶⊼⪎⋱⫍978)⨪↰⇹(⪎⋱⫍1696+⇶⊼⪎⋱⫍145A)=NaN","reverse_text":"NaN=(⪎⋱⫍25C8+⇶⊼⪎⋱⫍978)⨪↰⇹(⪎⋱⫍1696+⇶⊼⪎⋱⫍145A)","cot":[{"info":"⪎⋱⫍25C8+⇶⊼⪎⋱⫍978=NaN","layer":1},{"info":"⪎⋱⫍1696+⇶⊼⪎⋱⫍145A=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"-(∥⊫$2371$)","expression":"-(∥⊫⪎⋱⫍1105)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2371,"base":13}}},"used_operators":["t8gj7n24qd","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1622","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2371","layer":2},{"info":"compute unary expreesion, input=2371, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3239","layer":1},{"info":"compute unary expreesion, input=3239, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3239","layer":0}],"base":13,"result_base":13,"text":"-(∥⊫⪎⋱⫍1105)=⪎⋱⫍-1622","reverse_text":"⪎⋱⫍-1622=-(∥⊫⪎⋱⫍1105)","cot":[{"info":"∥⊫⪎⋱⫍1105=⪎⋱⫍1622","layer":1},{"info":"-⪎⋱⫍1622=⪎⋱⫍-1622","layer":0}]}
{"id":227,"expression_no_base_symbol":"($3023$⊉≛↸$4535$)⫥∨⫟(≦∁$2237$)","expression":"(⪎⋱⫍14B7⊉≛↸⪎⋱⫍20AB)⫥∨⫟(≦∁⪎⋱⫍1031)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3023,"base":13},"right_expr":{"type":"numeric_atoms","value":4535,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2237,"base":13}}},"used_operators":["KYD54nUTWz","DZ8iAZOCBD","9ICcGScMcE"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3023","layer":2},{"info":"number node, value=4535","layer":2},{"info":"compute binary expreesion, left_input=3023, right_input=4535, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6046","layer":1},{"info":"number node, value=2237","layer":2},{"info":"compute unary expreesion, input=2237, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2237","layer":1},{"info":"compute binary expreesion, left_input=6046, right_input=2237, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍14B7⊉≛↸⪎⋱⫍20AB)⫥∨⫟(≦∁⪎⋱⫍1031)=NaN","reverse_text":"NaN=(⪎⋱⫍14B7⊉≛↸⪎⋱⫍20AB)⫥∨⫟(≦∁⪎⋱⫍1031)","cot":[{"info":"⪎⋱⫍14B7⊉≛↸⪎⋱⫍20AB=⪎⋱⫍29A1","layer":1},{"info":"≦∁⪎⋱⫍1031=⪎⋱⫍1031","layer":1},{"info":"⪎⋱⫍29A1⫥∨⫟⪎⋱⫍1031=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"$1633$⫥∨⫟$1731$⊉≛↸$1899$⪘⫢$8334$","expression":"⪎⋱⫍988⫥∨⫟⪎⋱⫍A32⊉≛↸⪎⋱⫍B31⪘⫢⪎⋱⫍3A41","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":171,"operation_count":3,"complexity_ratio":57.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1633,"base":13},"right_expr":{"type":"numeric_atoms","value":1731,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1899,"base":13},"right_expr":{"type":"numeric_atoms","value":8334,"base":13}}},"used_operators":["DZ8iAZOCBD","KYD54nUTWz","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1633","layer":2},{"info":"number node, value=1731","layer":2},{"info":"compute binary expreesion, left_input=1633, right_input=1731, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1899","layer":2},{"info":"number node, value=8334","layer":2},{"info":"compute binary expreesion, left_input=1899, right_input=8334, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3674","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3674, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍988⫥∨⫟⪎⋱⫍A32⊉≛↸⪎⋱⫍B31⪘⫢⪎⋱⫍3A41=NaN","reverse_text":"NaN=⪎⋱⫍988⫥∨⫟⪎⋱⫍A32⊉≛↸⪎⋱⫍B31⪘⫢⪎⋱⫍3A41","cot":[{"info":"⪎⋱⫍988⫥∨⫟⪎⋱⫍A32=NaN","layer":1},{"info":"⪎⋱⫍B31⪘⫢⪎⋱⫍3A41=⪎⋱⫍1898","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍1898=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"$4131$⨟⋌⩍$3140$∲⫓$1006$⨐⩸⫘$2019$","expression":"⪎⋱⫍1B5A⨟⋌⩍⪎⋱⫍1577∲⫓⪎⋱⫍5C5⨐⩸⫘⪎⋱⫍BC4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4131,"base":13},"right_expr":{"type":"numeric_atoms","value":3140,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1006,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}}},"used_operators":["i8ToyICDmI","rGHVDoGpnC","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4131","layer":2},{"info":"number node, value=3140","layer":2},{"info":"compute binary expreesion, left_input=4131, right_input=3140, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1006","layer":2},{"info":"number node, value=2019","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=2019, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B5A⨟⋌⩍⪎⋱⫍1577∲⫓⪎⋱⫍5C5⨐⩸⫘⪎⋱⫍BC4=NaN","reverse_text":"NaN=⪎⋱⫍1B5A⨟⋌⩍⪎⋱⫍1577∲⫓⪎⋱⫍5C5⨐⩸⫘⪎⋱⫍BC4","cot":[{"info":"⪎⋱⫍1B5A⨟⋌⩍⪎⋱⫍1577=NaN","layer":1},{"info":"⪎⋱⫍5C5⨐⩸⫘⪎⋱⫍BC4=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"$1558$⨐⩸⫘$6884$↺$5965$⨰$2857$","expression":"⪎⋱⫍92B⨐⩸⫘⪎⋱⫍3197↺⪎⋱⫍293B⨰⪎⋱⫍13BA","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1558,"base":13},"right_expr":{"type":"numeric_atoms","value":6884,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5965,"base":13},"right_expr":{"type":"numeric_atoms","value":2857,"base":13}}},"used_operators":["7j4O788W3g","fu6greOZ01","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍155B","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1558","layer":2},{"info":"number node, value=6884","layer":2},{"info":"compute binary expreesion, left_input=1558, right_input=6884, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5965","layer":2},{"info":"number node, value=2857","layer":2},{"info":"compute binary expreesion, left_input=5965, right_input=2857, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3118, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3118","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍92B⨐⩸⫘⪎⋱⫍3197↺⪎⋱⫍293B⨰⪎⋱⫍13BA=⪎⋱⫍155B","reverse_text":"⪎⋱⫍155B=⪎⋱⫍92B⨐⩸⫘⪎⋱⫍3197↺⪎⋱⫍293B⨰⪎⋱⫍13BA","cot":[{"info":"⪎⋱⫍92B⨐⩸⫘⪎⋱⫍3197=NaN","layer":1},{"info":"⪎⋱⫍293B⨰⪎⋱⫍13BA=⪎⋱⫍155B","layer":1},{"info":"NaN↺⪎⋱⫍155B=⪎⋱⫍155B","layer":0}]}
{"id":231,"expression_no_base_symbol":"(∂$2040$)↺($3557$⨵⪆$2918$)","expression":"(∂⪎⋱⫍C0C)↺(⪎⋱⫍1808⨵⪆⪎⋱⫍1436)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2040,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3557,"base":13},"right_expr":{"type":"numeric_atoms","value":2918,"base":13}}},"used_operators":["7j4O788W3g","Uaa54Peajs","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2040","layer":2},{"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":1},{"info":"number node, value=3557","layer":2},{"info":"number node, value=2918","layer":2},{"info":"compute binary expreesion, left_input=3557, right_input=2918, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(∂⪎⋱⫍C0C)↺(⪎⋱⫍1808⨵⪆⪎⋱⫍1436)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(∂⪎⋱⫍C0C)↺(⪎⋱⫍1808⨵⪆⪎⋱⫍1436)","cot":[{"info":"∂⪎⋱⫍C0C=NaN","layer":1},{"info":"⪎⋱⫍1808⨵⪆⪎⋱⫍1436=⪎⋱⫍C4","layer":1},{"info":"NaN↺⪎⋱⫍C4=⪎⋱⫍C4","layer":0}]}
{"id":232,"expression_no_base_symbol":"(↔$2407$)≧⫂∧(⨞⊢$6490$)","expression":"(↔⪎⋱⫍1132)≧⫂∧(⨞⊢⪎⋱⫍2C53)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2407,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6490,"base":13}}},"used_operators":["Ph9nP6C5qx","ruOEQAzv1W","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍20A6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2407","layer":2},{"info":"compute unary expreesion, input=2407, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2134","layer":1},{"info":"number node, value=6490","layer":2},{"info":"compute unary expreesion, input=6490, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6664","layer":1},{"info":"compute binary expreesion, left_input=-2134, right_input=-6664, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4530","layer":0}],"base":13,"result_base":13,"text":"(↔⪎⋱⫍1132)≧⫂∧(⨞⊢⪎⋱⫍2C53)=⪎⋱⫍20A6","reverse_text":"⪎⋱⫍20A6=(↔⪎⋱⫍1132)≧⫂∧(⨞⊢⪎⋱⫍2C53)","cot":[{"info":"↔⪎⋱⫍1132=⪎⋱⫍-C82","layer":1},{"info":"⨞⊢⪎⋱⫍2C53=⪎⋱⫍-3058","layer":1},{"info":"⪎⋱⫍-C82≧⫂∧⪎⋱⫍-3058=⪎⋱⫍20A6","layer":0}]}
{"id":233,"expression_no_base_symbol":"⨵≀≌($4141$⪠⩆⊳)","expression":"⨵≀≌(⪎⋱⫍1B67⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4141,"base":13}}},"used_operators":["srAu1WTS94","JLbD19bQDL"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4141","layer":2},{"info":"compute unary expreesion, input=4141, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍1B67⪠⩆⊳)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⨵≀≌(⪎⋱⫍1B67⪠⩆⊳)","cot":[{"info":"⪎⋱⫍1B67⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⨵≀≌⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":234,"expression_no_base_symbol":"($4658$*$1920$)⪛(⨑⩽⪐$3068$)","expression":"(⪎⋱⫍2174*⪎⋱⫍B49)⪛(⨑⩽⪐⪎⋱⫍1520)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5126,"operation_count":3,"complexity_ratio":1708.6666666666667,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4658,"base":13},"right_expr":{"type":"numeric_atoms","value":1920,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3068,"base":13}}},"used_operators":["uFcxV4UQCh","9HNa5Wba9A","AF7qkfDlqP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-3A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4658","layer":2},{"info":"number node, value=1920","layer":2},{"info":"compute binary expreesion, left_input=4658, right_input=1920, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8943360","layer":1},{"info":"number node, value=3068","layer":2},{"info":"compute unary expreesion, input=3068, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2795","layer":1},{"info":"compute binary expreesion, left_input=8943360, right_input=-2795, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-640","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2174*⪎⋱⫍B49)⪛(⨑⩽⪐⪎⋱⫍1520)=⪎⋱⫍-3A3","reverse_text":"⪎⋱⫍-3A3=(⪎⋱⫍2174*⪎⋱⫍B49)⪛(⨑⩽⪐⪎⋱⫍1520)","cot":[{"info":"⪎⋱⫍2174*⪎⋱⫍B49=⪎⋱⫍1B1193A","layer":1},{"info":"⨑⩽⪐⪎⋱⫍1520=⪎⋱⫍-1370","layer":1},{"info":"⪎⋱⫍1B1193A⪛⪎⋱⫍-1370=⪎⋱⫍-3A3","layer":0}]}
{"id":235,"expression_no_base_symbol":"($2302$≧⫂∧$2828$)⇷$1029$↬$6054$","expression":"(⪎⋱⫍1081≧⫂∧⪎⋱⫍1397)⇷⪎⋱⫍612↬⪎⋱⫍29A9","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32978,"operation_count":3,"complexity_ratio":10992.666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2302,"base":13},"right_expr":{"type":"numeric_atoms","value":2828,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":6054,"base":13}}},"used_operators":["mp7IySMOzn","Ph9nP6C5qx","B5M0gjZbta"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2302","layer":2},{"info":"number node, value=2828","layer":2},{"info":"compute binary expreesion, left_input=2302, right_input=2828, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2355","layer":1},{"info":"number node, value=1029","layer":2},{"info":"number node, value=6054","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=6054, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2355, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1081≧⫂∧⪎⋱⫍1397)⇷⪎⋱⫍612↬⪎⋱⫍29A9=NaN","reverse_text":"NaN=(⪎⋱⫍1081≧⫂∧⪎⋱⫍1397)⇷⪎⋱⫍612↬⪎⋱⫍29A9","cot":[{"info":"⪎⋱⫍1081≧⫂∧⪎⋱⫍1397=⪎⋱⫍10C2","layer":1},{"info":"⪎⋱⫍612↬⪎⋱⫍29A9=NaN","layer":1},{"info":"⪎⋱⫍10C2⇷NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"($2305$⋷$2140$)⨟⋌⩍($1675$≭$1092$)","expression":"(⪎⋱⫍1084⋷⪎⋱⫍C88)⨟⋌⩍(⪎⋱⫍9BB≭⪎⋱⫍660)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2305,"base":13},"right_expr":{"type":"numeric_atoms","value":2140,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1675,"base":13},"right_expr":{"type":"numeric_atoms","value":1092,"base":13}}},"used_operators":["rGHVDoGpnC","23Mk6UjR3U","rxpJgHHUmx"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2305","layer":2},{"info":"number node, value=2140","layer":2},{"info":"compute binary expreesion, left_input=2305, right_input=2140, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1975","layer":1},{"info":"number node, value=1675","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=1675, right_input=1092, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1975, 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":13,"result_base":13,"text":"(⪎⋱⫍1084⋷⪎⋱⫍C88)⨟⋌⩍(⪎⋱⫍9BB≭⪎⋱⫍660)=NaN","reverse_text":"NaN=(⪎⋱⫍1084⋷⪎⋱⫍C88)⨟⋌⩍(⪎⋱⫍9BB≭⪎⋱⫍660)","cot":[{"info":"⪎⋱⫍1084⋷⪎⋱⫍C88=⪎⋱⫍B8C","layer":1},{"info":"⪎⋱⫍9BB≭⪎⋱⫍660=NaN","layer":1},{"info":"⪎⋱⫍B8C⨟⋌⩍NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"$5743$⨽$4421$/($4564$∸)","expression":"⪎⋱⫍27CA⨽⪎⋱⫍2021/(⪎⋱⫍2101∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":565014,"operation_count":3,"complexity_ratio":188338.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5743,"base":13},"right_expr":{"type":"numeric_atoms","value":4421,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4564,"base":13}}},"used_operators":["XhwjNDsVaA","8HhzD0ZcuI","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x"],"result":"⪎⋱⫍-167628","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5743","layer":2},{"info":"number node, value=4421","layer":2},{"info":"compute binary expreesion, left_input=5743, right_input=4421, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-98958096","layer":1},{"info":"number node, value=4564","layer":2},{"info":"compute unary expreesion, input=4564, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-98958096, right_input=177, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-559086","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍27CA⨽⪎⋱⫍2021/(⪎⋱⫍2101∸)=⪎⋱⫍-167628","reverse_text":"⪎⋱⫍-167628=⪎⋱⫍27CA⨽⪎⋱⫍2021/(⪎⋱⫍2101∸)","cot":[{"info":"⪎⋱⫍27CA⨽⪎⋱⫍2021=⪎⋱⫍-1766A4B3","layer":1},{"info":"⪎⋱⫍2101∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍-1766A4B3/⪎⋱⫍108=⪎⋱⫍-167628","layer":0}]}
{"id":238,"expression_no_base_symbol":"(⨰⫟⨤$1083$)⋷$2250$⋳⪒$1880$","expression":"(⨰⫟⨤⪎⋱⫍654)⋷⪎⋱⫍1041⋳⪒⪎⋱⫍B18","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3501,"operation_count":3,"complexity_ratio":1167.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1083,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2250,"base":13},"right_expr":{"type":"numeric_atoms","value":1880,"base":13}}},"used_operators":["23Mk6UjR3U","Tw270M8GLb","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"compute unary expreesion, input=1083, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2250","layer":2},{"info":"number node, value=1880","layer":2},{"info":"compute binary expreesion, left_input=2250, right_input=1880, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2333","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2333, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍654)⋷⪎⋱⫍1041⋳⪒⪎⋱⫍B18=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍654)⋷⪎⋱⫍1041⋳⪒⪎⋱⫍B18","cot":[{"info":"⨰⫟⨤⪎⋱⫍654=NaN","layer":1},{"info":"⪎⋱⫍1041⋳⪒⪎⋱⫍B18=⪎⋱⫍10A6","layer":1},{"info":"NaN⋷⪎⋱⫍10A6=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"($4364$⇼⇔∾$1897$)⨎(⩦⩻⨪$2334$)","expression":"(⪎⋱⫍1CA9⇼⇔∾⪎⋱⫍B2C)⨎(⩦⩻⨪⪎⋱⫍10A7)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4364,"base":13},"right_expr":{"type":"numeric_atoms","value":1897,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2334,"base":13}}},"used_operators":["rJVOvQCfKK","tifHPKVTfV","2td37pGCOC"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍10A7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4364","layer":2},{"info":"number node, value=1897","layer":2},{"info":"compute binary expreesion, left_input=4364, right_input=1897, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2467","layer":1},{"info":"number node, value=2334","layer":2},{"info":"compute unary expreesion, input=2334, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2334","layer":1},{"info":"compute binary expreesion, left_input=-2467, right_input=2334, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2334","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1CA9⇼⇔∾⪎⋱⫍B2C)⨎(⩦⩻⨪⪎⋱⫍10A7)=⪎⋱⫍10A7","reverse_text":"⪎⋱⫍10A7=(⪎⋱⫍1CA9⇼⇔∾⪎⋱⫍B2C)⨎(⩦⩻⨪⪎⋱⫍10A7)","cot":[{"info":"⪎⋱⫍1CA9⇼⇔∾⪎⋱⫍B2C=⪎⋱⫍-117A","layer":1},{"info":"⩦⩻⨪⪎⋱⫍10A7=⪎⋱⫍10A7","layer":1},{"info":"⪎⋱⫍-117A⨎⪎⋱⫍10A7=⪎⋱⫍10A7","layer":0}]}
{"id":240,"expression_no_base_symbol":"($1417$%$1176$)⫸⊐($1739$%$3989$)","expression":"(⪎⋱⫍850%⪎⋱⫍6C6)⫸⊐(⪎⋱⫍A3A%⪎⋱⫍1A7B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1417,"base":13},"right_expr":{"type":"numeric_atoms","value":1176,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1739,"base":13},"right_expr":{"type":"numeric_atoms","value":3989,"base":13}}},"used_operators":["mqXw5SEYmG","k8jYdgA6NY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⪎⋱⫍3156","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":2},{"info":"number node, value=1176","layer":2},{"info":"compute binary expreesion, left_input=1417, right_input=1176, op_id = k8jYdgA6NY binary_op_definition= 'None', output=241","layer":1},{"info":"number node, value=1739","layer":2},{"info":"number node, value=3989","layer":2},{"info":"compute binary expreesion, left_input=1739, right_input=3989, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1739","layer":1},{"info":"compute binary expreesion, left_input=241, right_input=1739, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6831","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍850%⪎⋱⫍6C6)⫸⊐(⪎⋱⫍A3A%⪎⋱⫍1A7B)=⪎⋱⫍3156","reverse_text":"⪎⋱⫍3156=(⪎⋱⫍850%⪎⋱⫍6C6)⫸⊐(⪎⋱⫍A3A%⪎⋱⫍1A7B)","cot":[{"info":"⪎⋱⫍850%⪎⋱⫍6C6=⪎⋱⫍157","layer":1},{"info":"⪎⋱⫍A3A%⪎⋱⫍1A7B=⪎⋱⫍A3A","layer":1},{"info":"⪎⋱⫍157⫸⊐⪎⋱⫍A3A=⪎⋱⫍3156","layer":0}]}
{"id":241,"expression_no_base_symbol":"(≤/$5965$)⋳⪒($7730$⨎$5314$)","expression":"(≤/⪎⋱⫍293B)⋳⪒(⪎⋱⫍3698⨎⪎⋱⫍255A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5965,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7730,"base":13},"right_expr":{"type":"numeric_atoms","value":5314,"base":13}}},"used_operators":["12rbrZMWeM","eLAdDNolq6","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-7701","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5965","layer":2},{"info":"compute unary expreesion, input=5965, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5481","layer":1},{"info":"number node, value=7730","layer":2},{"info":"number node, value=5314","layer":2},{"info":"compute binary expreesion, left_input=7730, right_input=5314, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5314","layer":1},{"info":"compute binary expreesion, left_input=-5481, right_input=5314, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-16563","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍293B)⋳⪒(⪎⋱⫍3698⨎⪎⋱⫍255A)=⪎⋱⫍-7701","reverse_text":"⪎⋱⫍-7701=(≤/⪎⋱⫍293B)⋳⪒(⪎⋱⫍3698⨎⪎⋱⫍255A)","cot":[{"info":"≤/⪎⋱⫍293B=⪎⋱⫍-2658","layer":1},{"info":"⪎⋱⫍3698⨎⪎⋱⫍255A=⪎⋱⫍255A","layer":1},{"info":"⪎⋱⫍-2658⋳⪒⪎⋱⫍255A=⪎⋱⫍-7701","layer":0}]}
{"id":242,"expression_no_base_symbol":"(⊙↵-$2775$)⨎($4096$∲⫓$1152$)","expression":"(⊙↵-⪎⋱⫍1356)⨎(⪎⋱⫍1B31∲⫓⪎⋱⫍6A8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2824,"operation_count":3,"complexity_ratio":941.3333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2775,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4096,"base":13},"right_expr":{"type":"numeric_atoms","value":1152,"base":13}}},"used_operators":["rJVOvQCfKK","oWn0xqSxBt","i8ToyICDmI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2775","layer":2},{"info":"compute unary expreesion, input=2775, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4096","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=4096, right_input=1152, 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=-1, 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":13,"result_base":13,"text":"(⊙↵-⪎⋱⫍1356)⨎(⪎⋱⫍1B31∲⫓⪎⋱⫍6A8)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⊙↵-⪎⋱⫍1356)⨎(⪎⋱⫍1B31∲⫓⪎⋱⫍6A8)","cot":[{"info":"⊙↵-⪎⋱⫍1356=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍1B31∲⫓⪎⋱⫍6A8=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-1⨎⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":243,"expression_no_base_symbol":"($5997$≋⫹)↬($2758$⩷∴$6005$)","expression":"(⪎⋱⫍2964≋⫹)↬(⪎⋱⫍1342⩷∴⪎⋱⫍296C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5997,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2758,"base":13},"right_expr":{"type":"numeric_atoms","value":6005,"base":13}}},"used_operators":["B5M0gjZbta","N41Kp7NANJ","9FxExcQeMw"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5997","layer":2},{"info":"compute unary expreesion, input=5997, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11994","layer":1},{"info":"number node, value=2758","layer":2},{"info":"number node, value=6005","layer":2},{"info":"compute binary expreesion, left_input=2758, right_input=6005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6526","layer":1},{"info":"compute binary expreesion, left_input=-11994, right_input=-6526, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍2964≋⫹)↬(⪎⋱⫍1342⩷∴⪎⋱⫍296C)=NaN","reverse_text":"NaN=(⪎⋱⫍2964≋⫹)↬(⪎⋱⫍1342⩷∴⪎⋱⫍296C)","cot":[{"info":"⪎⋱⫍2964≋⫹=⪎⋱⫍-55C8","layer":1},{"info":"⪎⋱⫍1342⩷∴⪎⋱⫍296C=⪎⋱⫍-2C80","layer":1},{"info":"⪎⋱⫍-55C8↬⪎⋱⫍-2C80=NaN","layer":0}]}
{"id":244,"expression_no_base_symbol":"($4144$/$7183$)⋝⋈⪟($6627$*$3178$)","expression":"(⪎⋱⫍1B6A/⪎⋱⫍3367)⋝⋈⪟(⪎⋱⫍302A*⪎⋱⫍15A6)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3182,"operation_count":3,"complexity_ratio":1060.6666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4144,"base":13},"right_expr":{"type":"numeric_atoms","value":7183,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6627,"base":13},"right_expr":{"type":"numeric_atoms","value":3178,"base":13}}},"used_operators":["2DDjHMKMc0","XhwjNDsVaA","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4144","layer":2},{"info":"number node, value=7183","layer":2},{"info":"compute binary expreesion, left_input=4144, right_input=7183, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=6627","layer":2},{"info":"number node, value=3178","layer":2},{"info":"compute binary expreesion, left_input=6627, right_input=3178, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=21060606","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=21060606, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1B6A/⪎⋱⫍3367)⋝⋈⪟(⪎⋱⫍302A*⪎⋱⫍15A6)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1B6A/⪎⋱⫍3367)⋝⋈⪟(⪎⋱⫍302A*⪎⋱⫍15A6)","cot":[{"info":"⪎⋱⫍1B6A/⪎⋱⫍3367=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍302A*⪎⋱⫍15A6=⪎⋱⫍44950C8","layer":1},{"info":"⪎⋱⫍0⋝⋈⪟⪎⋱⫍44950C8=⪎⋱⫍0","layer":0}]}
{"id":245,"expression_no_base_symbol":"↩$2821$∼$1788$","expression":"↩⪎⋱⫍1390∼⪎⋱⫍A77","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":76,"operation_count":2,"complexity_ratio":38.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2821,"base":13},"right_expr":{"type":"numeric_atoms","value":1788,"base":13}}},"used_operators":["jLgFTUHLKL","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2821","layer":2},{"info":"number node, value=1788","layer":2},{"info":"compute binary expreesion, left_input=2821, right_input=1788, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↩⪎⋱⫍1390∼⪎⋱⫍A77=NaN","reverse_text":"NaN=↩⪎⋱⫍1390∼⪎⋱⫍A77","cot":[{"info":"⪎⋱⫍1390∼⪎⋱⫍A77=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"$1165$⊴$3364$↺($1315$*$1453$)","expression":"⪎⋱⫍6B8⊴⪎⋱⫍16BA↺(⪎⋱⫍7A2*⪎⋱⫍87A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4687,"operation_count":3,"complexity_ratio":1562.3333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1165,"base":13},"right_expr":{"type":"numeric_atoms","value":3364,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1315,"base":13},"right_expr":{"type":"numeric_atoms","value":1453,"base":13}}},"used_operators":["7j4O788W3g","Nsiff2A1zJ","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe"],"result":"⪎⋱⫍51B8B7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"number node, value=3364","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=3364, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1315","layer":2},{"info":"number node, value=1453","layer":2},{"info":"compute binary expreesion, left_input=1315, right_input=1453, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1910695","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1910695, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1910695","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍6B8⊴⪎⋱⫍16BA↺(⪎⋱⫍7A2*⪎⋱⫍87A)=⪎⋱⫍51B8B7","reverse_text":"⪎⋱⫍51B8B7=⪎⋱⫍6B8⊴⪎⋱⫍16BA↺(⪎⋱⫍7A2*⪎⋱⫍87A)","cot":[{"info":"⪎⋱⫍6B8⊴⪎⋱⫍16BA=NaN","layer":1},{"info":"⪎⋱⫍7A2*⪎⋱⫍87A=⪎⋱⫍51B8B7","layer":1},{"info":"NaN↺⪎⋱⫍51B8B7=⪎⋱⫍51B8B7","layer":0}]}
{"id":247,"expression_no_base_symbol":"$3334$↙$1056$⪄(∥⊫$2146$)","expression":"⪎⋱⫍1696↙⪎⋱⫍633⪄(∥⊫⪎⋱⫍C91)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1156,"operation_count":3,"complexity_ratio":385.3333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3334,"base":13},"right_expr":{"type":"numeric_atoms","value":1056,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2146,"base":13}}},"used_operators":["SUmda5xLS4","yyfyN0ffXY","P8v4zCKN1o"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3334","layer":2},{"info":"number node, value=1056","layer":2},{"info":"compute binary expreesion, left_input=3334, right_input=1056, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3168","layer":1},{"info":"number node, value=2146","layer":2},{"info":"compute unary expreesion, input=2146, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3014","layer":1},{"info":"compute binary expreesion, left_input=-3168, right_input=3014, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1696↙⪎⋱⫍633⪄(∥⊫⪎⋱⫍C91)=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=⪎⋱⫍1696↙⪎⋱⫍633⪄(∥⊫⪎⋱⫍C91)","cot":[{"info":"⪎⋱⫍1696↙⪎⋱⫍633=⪎⋱⫍-1599","layer":1},{"info":"∥⊫⪎⋱⫍C91=⪎⋱⫍14AB","layer":1},{"info":"⪎⋱⫍-1599⪄⪎⋱⫍14AB=⪎⋱⫍1A71","layer":0}]}
{"id":248,"expression_no_base_symbol":"($2293$⋳⪒$1353$)⋫","expression":"(⪎⋱⫍1075⋳⪒⪎⋱⫍801)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2953,"operation_count":2,"complexity_ratio":1476.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2293,"base":13},"right_expr":{"type":"numeric_atoms","value":1353,"base":13}}},"used_operators":["JL8yIekQnl","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1458","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2293","layer":2},{"info":"number node, value=1353","layer":2},{"info":"compute binary expreesion, left_input=2293, right_input=1353, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2946","layer":1},{"info":"compute unary expreesion, input=2946, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2946","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1075⋳⪒⪎⋱⫍801)⋫=⪎⋱⫍1458","reverse_text":"⪎⋱⫍1458=(⪎⋱⫍1075⋳⪒⪎⋱⫍801)⋫","cot":[{"info":"⪎⋱⫍1075⋳⪒⪎⋱⫍801=⪎⋱⫍1458","layer":1},{"info":"⪎⋱⫍1458⋫=⪎⋱⫍1458","layer":0}]}
{"id":249,"expression_no_base_symbol":"$1733$⊉≛↸$3713$%$1053$⊭↱$3467$","expression":"⪎⋱⫍A34⊉≛↸⪎⋱⫍18C8%⪎⋱⫍630⊭↱⪎⋱⫍1769","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1733,"base":13},"right_expr":{"type":"numeric_atoms","value":3713,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1053,"base":13},"right_expr":{"type":"numeric_atoms","value":3467,"base":13}}},"used_operators":["k8jYdgA6NY","DZ8iAZOCBD","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1768","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1733","layer":2},{"info":"number node, value=3713","layer":2},{"info":"compute binary expreesion, left_input=1733, right_input=3713, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3466","layer":1},{"info":"number node, value=1053","layer":2},{"info":"number node, value=3467","layer":2},{"info":"compute binary expreesion, left_input=1053, right_input=3467, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4833","layer":1},{"info":"compute binary expreesion, left_input=3466, right_input=4833, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3466","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A34⊉≛↸⪎⋱⫍18C8%⪎⋱⫍630⊭↱⪎⋱⫍1769=⪎⋱⫍1768","reverse_text":"⪎⋱⫍1768=⪎⋱⫍A34⊉≛↸⪎⋱⫍18C8%⪎⋱⫍630⊭↱⪎⋱⫍1769","cot":[{"info":"⪎⋱⫍A34⊉≛↸⪎⋱⫍18C8=⪎⋱⫍1768","layer":1},{"info":"⪎⋱⫍630⊭↱⪎⋱⫍1769=⪎⋱⫍227A","layer":1},{"info":"⪎⋱⫍1768%⪎⋱⫍227A=⪎⋱⫍1768","layer":0}]}
{"id":250,"expression_no_base_symbol":"⩦⩻⨪($3044$⇼⇔∾$1722$)","expression":"⩦⩻⨪(⪎⋱⫍1502⇼⇔∾⪎⋱⫍A26)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3044,"base":13},"right_expr":{"type":"numeric_atoms","value":1722,"base":13}}},"used_operators":["2td37pGCOC","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-7A9","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3044","layer":2},{"info":"number node, value=1722","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=1722, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1322","layer":1},{"info":"compute unary expreesion, input=-1322, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1322","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍1502⇼⇔∾⪎⋱⫍A26)=⪎⋱⫍-7A9","reverse_text":"⪎⋱⫍-7A9=⩦⩻⨪(⪎⋱⫍1502⇼⇔∾⪎⋱⫍A26)","cot":[{"info":"⪎⋱⫍1502⇼⇔∾⪎⋱⫍A26=⪎⋱⫍-7A9","layer":1},{"info":"⩦⩻⨪⪎⋱⫍-7A9=⪎⋱⫍-7A9","layer":0}]}
{"id":251,"expression_no_base_symbol":"↥$2725$⋥≓≎$4906$","expression":"↥⪎⋱⫍1318⋥≓≎⪎⋱⫍2305","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":143,"operation_count":2,"complexity_ratio":71.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2725,"base":13},"right_expr":{"type":"numeric_atoms","value":4906,"base":13}}},"used_operators":["A8NUZmVepG","Qy55tPpLXF"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍25","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2725","layer":2},{"info":"number node, value=4906","layer":2},{"info":"compute binary expreesion, left_input=2725, right_input=4906, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7120","layer":1},{"info":"compute unary expreesion, input=7120, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":0}],"base":13,"result_base":13,"text":"↥⪎⋱⫍1318⋥≓≎⪎⋱⫍2305=⪎⋱⫍25","reverse_text":"⪎⋱⫍25=↥⪎⋱⫍1318⋥≓≎⪎⋱⫍2305","cot":[{"info":"⪎⋱⫍1318⋥≓≎⪎⋱⫍2305=⪎⋱⫍3319","layer":1},{"info":"↥⪎⋱⫍3319=⪎⋱⫍25","layer":0}]}
{"id":252,"expression_no_base_symbol":"$3219$≎⊠⪸$2864$⫩⊇","expression":"⪎⋱⫍1608≎⊠⪸⪎⋱⫍13C4⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":272,"operation_count":2,"complexity_ratio":136.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3219,"base":13},"right_expr":{"type":"numeric_atoms","value":2864,"base":13}}},"used_operators":["BjRHVeLaeN","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-23232A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3219","layer":2},{"info":"number node, value=2864","layer":2},{"info":"compute binary expreesion, left_input=3219, right_input=2864, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=833248","layer":1},{"info":"compute unary expreesion, input=833248, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-833206","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1608≎⊠⪸⪎⋱⫍13C4⫩⊇=⪎⋱⫍-23232A","reverse_text":"⪎⋱⫍-23232A=⪎⋱⫍1608≎⊠⪸⪎⋱⫍13C4⫩⊇","cot":[{"info":"⪎⋱⫍1608≎⊠⪸⪎⋱⫍13C4=⪎⋱⫍232360","layer":1},{"info":"⪎⋱⫍232360⫩⊇=⪎⋱⫍-23232A","layer":0}]}
{"id":253,"expression_no_base_symbol":"≤/$1394$≭$5036$","expression":"≤/⪎⋱⫍833≭⪎⋱⫍23A5","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1394,"base":13},"right_expr":{"type":"numeric_atoms","value":5036,"base":13}}},"used_operators":["eLAdDNolq6","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1394","layer":2},{"info":"number node, value=5036","layer":2},{"info":"compute binary expreesion, left_input=1394, right_input=5036, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/⪎⋱⫍833≭⪎⋱⫍23A5=NaN","reverse_text":"NaN=≤/⪎⋱⫍833≭⪎⋱⫍23A5","cot":[{"info":"⪎⋱⫍833≭⪎⋱⫍23A5=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"$2598$⋥≓≎$1729$⨵⪆(⊙↵-$3304$)","expression":"⪎⋱⫍124B⋥≓≎⪎⋱⫍A30⨵⪆(⊙↵-⪎⋱⫍1672)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3355,"operation_count":3,"complexity_ratio":1118.3333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2598,"base":13},"right_expr":{"type":"numeric_atoms","value":1729,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3304,"base":13}}},"used_operators":["2DQ55sFlQl","Qy55tPpLXF","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2598","layer":2},{"info":"number node, value=1729","layer":2},{"info":"compute binary expreesion, left_input=2598, right_input=1729, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=893","layer":1},{"info":"number node, value=3304","layer":2},{"info":"compute unary expreesion, input=3304, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=893, right_input=-1, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍124B⋥≓≎⪎⋱⫍A30⨵⪆(⊙↵-⪎⋱⫍1672)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍124B⋥≓≎⪎⋱⫍A30⨵⪆(⊙↵-⪎⋱⫍1672)","cot":[{"info":"⪎⋱⫍124B⋥≓≎⪎⋱⫍A30=⪎⋱⫍539","layer":1},{"info":"⊙↵-⪎⋱⫍1672=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍539⨵⪆⪎⋱⫍-1=⪎⋱⫍C4","layer":0}]}
{"id":255,"expression_no_base_symbol":"$2426$≧⫂∧$1530$*$1016$⨎$4831$","expression":"⪎⋱⫍1148≧⫂∧⪎⋱⫍909*⪎⋱⫍602⨎⪎⋱⫍2278","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1059,"operation_count":3,"complexity_ratio":353.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2426,"base":13},"right_expr":{"type":"numeric_atoms","value":1530,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1016,"base":13},"right_expr":{"type":"numeric_atoms","value":4831,"base":13}}},"used_operators":["9HNa5Wba9A","Ph9nP6C5qx","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍109A326","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":2},{"info":"number node, value=1530","layer":2},{"info":"compute binary expreesion, left_input=2426, right_input=1530, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1057","layer":1},{"info":"number node, value=1016","layer":2},{"info":"number node, value=4831","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=4831, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4831","layer":1},{"info":"compute binary expreesion, left_input=1057, right_input=4831, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5106367","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1148≧⫂∧⪎⋱⫍909*⪎⋱⫍602⨎⪎⋱⫍2278=⪎⋱⫍109A326","reverse_text":"⪎⋱⫍109A326=⪎⋱⫍1148≧⫂∧⪎⋱⫍909*⪎⋱⫍602⨎⪎⋱⫍2278","cot":[{"info":"⪎⋱⫍1148≧⫂∧⪎⋱⫍909=⪎⋱⫍634","layer":1},{"info":"⪎⋱⫍602⨎⪎⋱⫍2278=⪎⋱⫍2278","layer":1},{"info":"⪎⋱⫍634*⪎⋱⫍2278=⪎⋱⫍109A326","layer":0}]}
{"id":256,"expression_no_base_symbol":"$1805$≎⊠⪸$1104$+$4524$⨳⩥⨓$2474$","expression":"⪎⋱⫍A8B≎⊠⪸⪎⋱⫍66C+⪎⋱⫍20A0⨳⩥⨓⪎⋱⫍1184","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1805,"base":13},"right_expr":{"type":"numeric_atoms","value":1104,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4524,"base":13},"right_expr":{"type":"numeric_atoms","value":2474,"base":13}}},"used_operators":["W4YGzv6Whe","bJkvcejdHO","nCS4ZIUYfx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍133841","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":2},{"info":"number node, value=1104","layer":2},{"info":"compute binary expreesion, left_input=1805, right_input=1104, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=467022","layer":1},{"info":"number node, value=4524","layer":2},{"info":"number node, value=2474","layer":2},{"info":"compute binary expreesion, left_input=4524, right_input=2474, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2050","layer":1},{"info":"compute binary expreesion, left_input=467022, right_input=-2050, op_id = W4YGzv6Whe binary_op_definition= 'None', output=464972","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A8B≎⊠⪸⪎⋱⫍66C+⪎⋱⫍20A0⨳⩥⨓⪎⋱⫍1184=⪎⋱⫍133841","reverse_text":"⪎⋱⫍133841=⪎⋱⫍A8B≎⊠⪸⪎⋱⫍66C+⪎⋱⫍20A0⨳⩥⨓⪎⋱⫍1184","cot":[{"info":"⪎⋱⫍A8B≎⊠⪸⪎⋱⫍66C=⪎⋱⫍13475A","layer":1},{"info":"⪎⋱⫍20A0⨳⩥⨓⪎⋱⫍1184=⪎⋱⫍-C19","layer":1},{"info":"⪎⋱⫍13475A+⪎⋱⫍-C19=⪎⋱⫍133841","layer":0}]}
{"id":257,"expression_no_base_symbol":"($1831$⫸⊐$3072$)⨎($4482$⪄$4392$)","expression":"(⪎⋱⫍AAB⫸⊐⪎⋱⫍1524)⨎(⪎⋱⫍206A⪄⪎⋱⫍1CCB)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":120,"operation_count":3,"complexity_ratio":40.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1831,"base":13},"right_expr":{"type":"numeric_atoms","value":3072,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4482,"base":13},"right_expr":{"type":"numeric_atoms","value":4392,"base":13}}},"used_operators":["rJVOvQCfKK","mqXw5SEYmG","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍-1A91B5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1831","layer":2},{"info":"number node, value=3072","layer":2},{"info":"compute binary expreesion, left_input=1831, right_input=3072, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12163","layer":1},{"info":"number node, value=4482","layer":2},{"info":"number node, value=4392","layer":2},{"info":"compute binary expreesion, left_input=4482, right_input=4392, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-676993","layer":1},{"info":"compute binary expreesion, left_input=12163, right_input=-676993, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-676993","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍AAB⫸⊐⪎⋱⫍1524)⨎(⪎⋱⫍206A⪄⪎⋱⫍1CCB)=⪎⋱⫍-1A91B5","reverse_text":"⪎⋱⫍-1A91B5=(⪎⋱⫍AAB⫸⊐⪎⋱⫍1524)⨎(⪎⋱⫍206A⪄⪎⋱⫍1CCB)","cot":[{"info":"⪎⋱⫍AAB⫸⊐⪎⋱⫍1524=⪎⋱⫍56C8","layer":1},{"info":"⪎⋱⫍206A⪄⪎⋱⫍1CCB=⪎⋱⫍-1A91B5","layer":1},{"info":"⪎⋱⫍56C8⨎⪎⋱⫍-1A91B5=⪎⋱⫍-1A91B5","layer":0}]}
{"id":258,"expression_no_base_symbol":"($1466$⊦⊿)+⇶⊼$3456$⪢$4312$","expression":"(⪎⋱⫍88A⊦⊿)+⇶⊼⪎⋱⫍175B⪢⪎⋱⫍1C69","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4319,"operation_count":3,"complexity_ratio":1439.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1466,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3456,"base":13},"right_expr":{"type":"numeric_atoms","value":4312,"base":13}}},"used_operators":["TpPTUOHfaN","14qkJME0vr","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"compute unary expreesion, input=1466, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4477","layer":1},{"info":"number node, value=3456","layer":2},{"info":"number node, value=4312","layer":2},{"info":"compute binary expreesion, left_input=3456, right_input=4312, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-4477, 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":13,"result_base":13,"text":"(⪎⋱⫍88A⊦⊿)+⇶⊼⪎⋱⫍175B⪢⪎⋱⫍1C69=NaN","reverse_text":"NaN=(⪎⋱⫍88A⊦⊿)+⇶⊼⪎⋱⫍175B⪢⪎⋱⫍1C69","cot":[{"info":"⪎⋱⫍88A⊦⊿=⪎⋱⫍-2065","layer":1},{"info":"⪎⋱⫍175B⪢⪎⋱⫍1C69=NaN","layer":1},{"info":"⪎⋱⫍-2065+⇶⊼NaN=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"($6694$↪⪝)↬($5249$⪠⩆⊳)","expression":"(⪎⋱⫍307C↪⪝)↬(⪎⋱⫍250A⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":707,"operation_count":3,"complexity_ratio":235.66666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6694,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5249,"base":13}}},"used_operators":["B5M0gjZbta","l07mrZUIn9","JLbD19bQDL"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6694","layer":2},{"info":"compute unary expreesion, input=6694, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=409552308","layer":1},{"info":"number node, value=5249","layer":2},{"info":"compute unary expreesion, input=5249, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=409552308, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍307C↪⪝)↬(⪎⋱⫍250A⪠⩆⊳)=NaN","reverse_text":"NaN=(⪎⋱⫍307C↪⪝)↬(⪎⋱⫍250A⪠⩆⊳)","cot":[{"info":"⪎⋱⫍307C↪⪝=⪎⋱⫍66B07459","layer":1},{"info":"⪎⋱⫍250A⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍66B07459↬⪎⋱⫍0=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"↥$3566$∼$1120$","expression":"↥⪎⋱⫍1814∼⪎⋱⫍682","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72,"operation_count":2,"complexity_ratio":36.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3566,"base":13},"right_expr":{"type":"numeric_atoms","value":1120,"base":13}}},"used_operators":["A8NUZmVepG","DyGG3AbaNP"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3566","layer":2},{"info":"number node, value=1120","layer":2},{"info":"compute binary expreesion, left_input=3566, right_input=1120, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥⪎⋱⫍1814∼⪎⋱⫍682=NaN","reverse_text":"NaN=↥⪎⋱⫍1814∼⪎⋱⫍682","cot":[{"info":"⪎⋱⫍1814∼⪎⋱⫍682=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"($1413$⨵⪆$2505$)⇷$6738$≹⇙⪍$4092$","expression":"(⪎⋱⫍849⨵⪆⪎⋱⫍11A9)⇷⪎⋱⫍30B4≹⇙⪍⪎⋱⫍1B2A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2248,"operation_count":3,"complexity_ratio":749.3333333333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1413,"base":13},"right_expr":{"type":"numeric_atoms","value":2505,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6738,"base":13},"right_expr":{"type":"numeric_atoms","value":4092,"base":13}}},"used_operators":["mp7IySMOzn","2DQ55sFlQl","AHs5Up7iyr"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1413","layer":2},{"info":"number node, value=2505","layer":2},{"info":"compute binary expreesion, left_input=1413, right_input=2505, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6738","layer":2},{"info":"number node, value=4092","layer":2},{"info":"compute binary expreesion, left_input=6738, right_input=4092, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍849⨵⪆⪎⋱⫍11A9)⇷⪎⋱⫍30B4≹⇙⪍⪎⋱⫍1B2A=NaN","reverse_text":"NaN=(⪎⋱⫍849⨵⪆⪎⋱⫍11A9)⇷⪎⋱⫍30B4≹⇙⪍⪎⋱⫍1B2A","cot":[{"info":"⪎⋱⫍849⨵⪆⪎⋱⫍11A9=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍30B4≹⇙⪍⪎⋱⫍1B2A=NaN","layer":1},{"info":"⪎⋱⫍C4⇷NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"⩦⩻⨪$2018$∼$2233$","expression":"⩦⩻⨪⪎⋱⫍BC3∼⪎⋱⫍102A","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2018,"base":13},"right_expr":{"type":"numeric_atoms","value":2233,"base":13}}},"used_operators":["2td37pGCOC","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2018","layer":2},{"info":"number node, value=2233","layer":2},{"info":"compute binary expreesion, left_input=2018, right_input=2233, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪⪎⋱⫍BC3∼⪎⋱⫍102A=NaN","reverse_text":"NaN=⩦⩻⨪⪎⋱⫍BC3∼⪎⋱⫍102A","cot":[{"info":"⪎⋱⫍BC3∼⪎⋱⫍102A=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"⨞⊢$5852$≧⫂∧$5342$","expression":"⨞⊢⪎⋱⫍2882≧⫂∧⪎⋱⫍257C","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5852,"base":13},"right_expr":{"type":"numeric_atoms","value":5342,"base":13}}},"used_operators":["xUOZtlo3hN","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-23AC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5852","layer":2},{"info":"number node, value=5342","layer":2},{"info":"compute binary expreesion, left_input=5852, right_input=5342, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4869","layer":1},{"info":"compute unary expreesion, input=4869, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5043","layer":0}],"base":13,"result_base":13,"text":"⨞⊢⪎⋱⫍2882≧⫂∧⪎⋱⫍257C=⪎⋱⫍-23AC","reverse_text":"⪎⋱⫍-23AC=⨞⊢⪎⋱⫍2882≧⫂∧⪎⋱⫍257C","cot":[{"info":"⪎⋱⫍2882≧⫂∧⪎⋱⫍257C=⪎⋱⫍22A7","layer":1},{"info":"⨞⊢⪎⋱⫍22A7=⪎⋱⫍-23AC","layer":0}]}
{"id":264,"expression_no_base_symbol":"(↯⪼$1731$)↙($2966$∲⫓$3523$)","expression":"(↯⪼⪎⋱⫍A32)↙(⪎⋱⫍1472∲⫓⪎⋱⫍17B0)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1731,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2966,"base":13},"right_expr":{"type":"numeric_atoms","value":3523,"base":13}}},"used_operators":["yyfyN0ffXY","8jW3W4yZS5","i8ToyICDmI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1731","layer":2},{"info":"compute unary expreesion, input=1731, 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=2966","layer":2},{"info":"number node, value=3523","layer":2},{"info":"compute binary expreesion, left_input=2966, right_input=3523, 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=-21, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍A32)↙(⪎⋱⫍1472∲⫓⪎⋱⫍17B0)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=(↯⪼⪎⋱⫍A32)↙(⪎⋱⫍1472∲⫓⪎⋱⫍17B0)","cot":[{"info":"↯⪼⪎⋱⫍A32=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1472∲⫓⪎⋱⫍17B0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-18↙⪎⋱⫍0=⪎⋱⫍-18","layer":0}]}
{"id":265,"expression_no_base_symbol":"⨈⫕($2041$*$2730$)","expression":"⨈⫕(⪎⋱⫍C10*⪎⋱⫍1320)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2427,"operation_count":2,"complexity_ratio":1213.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2041,"base":13},"right_expr":{"type":"numeric_atoms","value":2730,"base":13}}},"used_operators":["megm06wKyl","9HNa5Wba9A"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":2},{"info":"number node, value=2730","layer":2},{"info":"compute binary expreesion, left_input=2041, right_input=2730, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5571930","layer":1},{"info":"compute unary expreesion, input=5571930, 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":13,"result_base":13,"text":"⨈⫕(⪎⋱⫍C10*⪎⋱⫍1320)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⪎⋱⫍C10*⪎⋱⫍1320)","cot":[{"info":"⪎⋱⫍C10*⪎⋱⫍1320=⪎⋱⫍1201200","layer":1},{"info":"⨈⫕⪎⋱⫍1201200=⪎⋱⫍-18","layer":0}]}
{"id":266,"expression_no_base_symbol":"(↩$3170$)+⇶⊼$3664$⪛$1172$","expression":"(↩⪎⋱⫍159B)+⇶⊼⪎⋱⫍188B⪛⪎⋱⫍6C2","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3170,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3664,"base":13},"right_expr":{"type":"numeric_atoms","value":1172,"base":13}}},"used_operators":["TpPTUOHfaN","jLgFTUHLKL","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":2},{"info":"compute unary expreesion, input=3170, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22580","layer":1},{"info":"number node, value=3664","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=3664, right_input=1172, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=148","layer":1},{"info":"compute binary expreesion, left_input=-22580, right_input=148, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(↩⪎⋱⫍159B)+⇶⊼⪎⋱⫍188B⪛⪎⋱⫍6C2=NaN","reverse_text":"NaN=(↩⪎⋱⫍159B)+⇶⊼⪎⋱⫍188B⪛⪎⋱⫍6C2","cot":[{"info":"↩⪎⋱⫍159B=⪎⋱⫍-A37C","layer":1},{"info":"⪎⋱⫍188B⪛⪎⋱⫍6C2=⪎⋱⫍B5","layer":1},{"info":"⪎⋱⫍-A37C+⇶⊼⪎⋱⫍B5=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"-(⨰⫟⨤$2567$)","expression":"-(⨰⫟⨤⪎⋱⫍1226)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9429,"operation_count":2,"complexity_ratio":4714.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2567,"base":13}}},"used_operators":["t8gj7n24qd","Tw270M8GLb"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2567","layer":2},{"info":"compute unary expreesion, input=2567, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-(⨰⫟⨤⪎⋱⫍1226)=NaN","reverse_text":"NaN=-(⨰⫟⨤⪎⋱⫍1226)","cot":[{"info":"⨰⫟⨤⪎⋱⫍1226=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"(⊄⩳↩$2146$)⪢(⋗⩬⋾$1272$)","expression":"(⊄⩳↩⪎⋱⫍C91)⪢(⋗⩬⋾⪎⋱⫍76B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4971,"operation_count":3,"complexity_ratio":1657.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2146,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1272,"base":13}}},"used_operators":["dWAJyo7jo9","8w2t5hMYqp","DpFCA1CohY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":2},{"info":"compute unary expreesion, input=2146, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6438","layer":1},{"info":"number node, value=1272","layer":2},{"info":"compute unary expreesion, input=1272, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3816","layer":1},{"info":"compute binary expreesion, left_input=-6438, right_input=-3816, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍C91)⪢(⋗⩬⋾⪎⋱⫍76B)=NaN","reverse_text":"NaN=(⊄⩳↩⪎⋱⫍C91)⪢(⋗⩬⋾⪎⋱⫍76B)","cot":[{"info":"⊄⩳↩⪎⋱⫍C91=⪎⋱⫍-2C13","layer":1},{"info":"⋗⩬⋾⪎⋱⫍76B=⪎⋱⫍-1977","layer":1},{"info":"⪎⋱⫍-2C13⪢⪎⋱⫍-1977=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"$4597$*$3875$⋷($1437$/$1194$)","expression":"⪎⋱⫍2128*⪎⋱⫍19C1⋷(⪎⋱⫍867/⪎⋱⫍70B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3879,"operation_count":3,"complexity_ratio":1293.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4597,"base":13},"right_expr":{"type":"numeric_atoms","value":3875,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1437,"base":13},"right_expr":{"type":"numeric_atoms","value":1194,"base":13}}},"used_operators":["23Mk6UjR3U","9HNa5Wba9A","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-38C9076","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4597","layer":2},{"info":"number node, value=3875","layer":2},{"info":"compute binary expreesion, left_input=4597, right_input=3875, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17813375","layer":1},{"info":"number node, value=1437","layer":2},{"info":"number node, value=1194","layer":2},{"info":"compute binary expreesion, left_input=1437, right_input=1194, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=17813375, right_input=1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-17813373","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2128*⪎⋱⫍19C1⋷(⪎⋱⫍867/⪎⋱⫍70B)=⪎⋱⫍-38C9076","reverse_text":"⪎⋱⫍-38C9076=⪎⋱⫍2128*⪎⋱⫍19C1⋷(⪎⋱⫍867/⪎⋱⫍70B)","cot":[{"info":"⪎⋱⫍2128*⪎⋱⫍19C1=⪎⋱⫍38C9078","layer":1},{"info":"⪎⋱⫍867/⪎⋱⫍70B=⪎⋱⫍1","layer":1},{"info":"⪎⋱⫍38C9078⋷⪎⋱⫍1=⪎⋱⫍-38C9076","layer":0}]}
{"id":270,"expression_no_base_symbol":"$2805$⪘⫢$3073$⪒($6516$≋⫹)","expression":"⪎⋱⫍137A⪘⫢⪎⋱⫍1525⪒(⪎⋱⫍2C73≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2805,"base":13},"right_expr":{"type":"numeric_atoms","value":3073,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6516,"base":13}}},"used_operators":["f6k1SAg4EE","oacrs7FA3X","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3586","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2805","layer":2},{"info":"number node, value=3073","layer":2},{"info":"compute binary expreesion, left_input=2805, right_input=3073, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5486","layer":1},{"info":"number node, value=6516","layer":2},{"info":"compute unary expreesion, input=6516, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13032","layer":1},{"info":"compute binary expreesion, left_input=5486, right_input=-13032, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=7546","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍137A⪘⫢⪎⋱⫍1525⪒(⪎⋱⫍2C73≋⫹)=⪎⋱⫍3586","reverse_text":"⪎⋱⫍3586=⪎⋱⫍137A⪘⫢⪎⋱⫍1525⪒(⪎⋱⫍2C73≋⫹)","cot":[{"info":"⪎⋱⫍137A⪘⫢⪎⋱⫍1525=⪎⋱⫍2660","layer":1},{"info":"⪎⋱⫍2C73≋⫹=⪎⋱⫍-5C16","layer":1},{"info":"⪎⋱⫍2660⪒⪎⋱⫍-5C16=⪎⋱⫍3586","layer":0}]}
{"id":271,"expression_no_base_symbol":"$1726$≹⇙⪍$1084$+⇶⊼($3599$⫩⊇)","expression":"⪎⋱⫍A2A≹⇙⪍⪎⋱⫍655+⇶⊼(⪎⋱⫍183B⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1726,"base":13},"right_expr":{"type":"numeric_atoms","value":1084,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3599,"base":13}}},"used_operators":["TpPTUOHfaN","AHs5Up7iyr","BjRHVeLaeN"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1726","layer":2},{"info":"number node, value=1084","layer":2},{"info":"compute binary expreesion, left_input=1726, right_input=1084, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=3599","layer":2},{"info":"compute unary expreesion, input=3599, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3557","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3557, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"⪎⋱⫍A2A≹⇙⪍⪎⋱⫍655+⇶⊼(⪎⋱⫍183B⫩⊇)=NaN","reverse_text":"NaN=⪎⋱⫍A2A≹⇙⪍⪎⋱⫍655+⇶⊼(⪎⋱⫍183B⫩⊇)","cot":[{"info":"⪎⋱⫍A2A≹⇙⪍⪎⋱⫍655=NaN","layer":1},{"info":"⪎⋱⫍183B⫩⊇=⪎⋱⫍-1808","layer":1},{"info":"NaN+⇶⊼⪎⋱⫍-1808=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"↔($6567$⊭∹↮)","expression":"↔(⪎⋱⫍2CB2⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6567,"base":13}}},"used_operators":["ruOEQAzv1W","xNBdhnnwKq"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-5B14","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6567","layer":2},{"info":"compute unary expreesion, input=6567, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13134","layer":1},{"info":"compute unary expreesion, input=13134, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-12861","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍2CB2⊭∹↮)=⪎⋱⫍-5B14","reverse_text":"⪎⋱⫍-5B14=↔(⪎⋱⫍2CB2⊭∹↮)","cot":[{"info":"⪎⋱⫍2CB2⊭∹↮=⪎⋱⫍5C94","layer":1},{"info":"↔⪎⋱⫍5C94=⪎⋱⫍-5B14","layer":0}]}
{"id":273,"expression_no_base_symbol":"($2508$≣⋋)⨽$1368$⪛$5155$","expression":"(⪎⋱⫍11AC≣⋋)⨽⪎⋱⫍813⪛⪎⋱⫍2467","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":528,"operation_count":3,"complexity_ratio":176.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2508,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1368,"base":13},"right_expr":{"type":"numeric_atoms","value":5155,"base":13}}},"used_operators":["8HhzD0ZcuI","Tcnh7f0tEr","uFcxV4UQCh"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-1368","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":2},{"info":"compute unary expreesion, input=2508, 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=1368","layer":2},{"info":"number node, value=5155","layer":2},{"info":"compute binary expreesion, left_input=1368, right_input=5155, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1368","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1368, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2790","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍11AC≣⋋)⨽⪎⋱⫍813⪛⪎⋱⫍2467=⪎⋱⫍-1368","reverse_text":"⪎⋱⫍-1368=(⪎⋱⫍11AC≣⋋)⨽⪎⋱⫍813⪛⪎⋱⫍2467","cot":[{"info":"⪎⋱⫍11AC≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍813⪛⪎⋱⫍2467=⪎⋱⫍813","layer":1},{"info":"⪎⋱⫍0⨽⪎⋱⫍813=⪎⋱⫍-1368","layer":0}]}
{"id":274,"expression_no_base_symbol":"-$2038$↬$7962$","expression":"-⪎⋱⫍C0A↬⪎⋱⫍3816","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2038,"base":13},"right_expr":{"type":"numeric_atoms","value":7962,"base":13}}},"used_operators":["t8gj7n24qd","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2038","layer":2},{"info":"number node, value=7962","layer":2},{"info":"compute binary expreesion, left_input=2038, right_input=7962, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍C0A↬⪎⋱⫍3816=NaN","reverse_text":"NaN=-⪎⋱⫍C0A↬⪎⋱⫍3816","cot":[{"info":"⪎⋱⫍C0A↬⪎⋱⫍3816=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"$8232$⊴$4722$≦≮≮","expression":"⪎⋱⫍3993⊴⪎⋱⫍21C3≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4820,"operation_count":2,"complexity_ratio":2410.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8232,"base":13},"right_expr":{"type":"numeric_atoms","value":4722,"base":13}}},"used_operators":["D4vGDi5EA2","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8232","layer":2},{"info":"number node, value=4722","layer":2},{"info":"compute binary expreesion, left_input=8232, right_input=4722, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢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":13,"result_base":13,"text":"⪎⋱⫍3993⊴⪎⋱⫍21C3≦≮≮=NaN","reverse_text":"NaN=⪎⋱⫍3993⊴⪎⋱⫍21C3≦≮≮","cot":[{"info":"⪎⋱⫍3993⊴⪎⋱⫍21C3=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"$6449$↙$5393$⪨≂$3334$%$1000$","expression":"⪎⋱⫍2C21↙⪎⋱⫍25BB⪨≂⪎⋱⫍1696%⪎⋱⫍5BC","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5404,"operation_count":3,"complexity_ratio":1801.3333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6449,"base":13},"right_expr":{"type":"numeric_atoms","value":5393,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3334,"base":13},"right_expr":{"type":"numeric_atoms","value":1000,"base":13}}},"used_operators":["sdazOOVcIp","yyfyN0ffXY","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"⪎⋱⫍-11CA8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6449","layer":2},{"info":"number node, value=5393","layer":2},{"info":"compute binary expreesion, left_input=6449, right_input=5393, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16179","layer":1},{"info":"number node, value=3334","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=3334, right_input=1000, op_id = k8jYdgA6NY binary_op_definition= 'None', output=334","layer":1},{"info":"compute binary expreesion, left_input=-16179, right_input=334, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-32924","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2C21↙⪎⋱⫍25BB⪨≂⪎⋱⫍1696%⪎⋱⫍5BC=⪎⋱⫍-11CA8","reverse_text":"⪎⋱⫍-11CA8=⪎⋱⫍2C21↙⪎⋱⫍25BB⪨≂⪎⋱⫍1696%⪎⋱⫍5BC","cot":[{"info":"⪎⋱⫍2C21↙⪎⋱⫍25BB=⪎⋱⫍-7497","layer":1},{"info":"⪎⋱⫍1696%⪎⋱⫍5BC=⪎⋱⫍1C9","layer":1},{"info":"⪎⋱⫍-7497⪨≂⪎⋱⫍1C9=⪎⋱⫍-11CA8","layer":0}]}
{"id":277,"expression_no_base_symbol":"↣≠⋷($3847$⨓$2821$)","expression":"↣≠⋷(⪎⋱⫍199C⨓⪎⋱⫍1390)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2830,"operation_count":2,"complexity_ratio":1415.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3847,"base":13},"right_expr":{"type":"numeric_atoms","value":2821,"base":13}}},"used_operators":["Asc51vEJeQ","3ViojmjbAp"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3847","layer":2},{"info":"number node, value=2821","layer":2},{"info":"compute binary expreesion, left_input=3847, right_input=2821, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2824","layer":1},{"info":"compute unary expreesion, input=-2824, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(⪎⋱⫍199C⨓⪎⋱⫍1390)=NaN","reverse_text":"NaN=↣≠⋷(⪎⋱⫍199C⨓⪎⋱⫍1390)","cot":[{"info":"⪎⋱⫍199C⨓⪎⋱⫍1390=⪎⋱⫍-1393","layer":1},{"info":"↣≠⋷⪎⋱⫍-1393=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"(≤/$2733$)≭($2150$⋳⪒$4657$)","expression":"(≤/⪎⋱⫍1323)≭(⪎⋱⫍C95⋳⪒⪎⋱⫍2173)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2733,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2150,"base":13},"right_expr":{"type":"numeric_atoms","value":4657,"base":13}}},"used_operators":["rxpJgHHUmx","eLAdDNolq6","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2733","layer":2},{"info":"compute unary expreesion, input=2733, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2249","layer":1},{"info":"number node, value=2150","layer":2},{"info":"number node, value=4657","layer":2},{"info":"compute binary expreesion, left_input=2150, right_input=4657, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-644","layer":1},{"info":"compute binary expreesion, left_input=-2249, right_input=-644, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(≤/⪎⋱⫍1323)≭(⪎⋱⫍C95⋳⪒⪎⋱⫍2173)=NaN","reverse_text":"NaN=(≤/⪎⋱⫍1323)≭(⪎⋱⫍C95⋳⪒⪎⋱⫍2173)","cot":[{"info":"≤/⪎⋱⫍1323=⪎⋱⫍-1040","layer":1},{"info":"⪎⋱⫍C95⋳⪒⪎⋱⫍2173=⪎⋱⫍-3A7","layer":1},{"info":"⪎⋱⫍-1040≭⪎⋱⫍-3A7=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"$5312$⫥∨⫟$1133$⪒($5711$⊘)","expression":"⪎⋱⫍2558⫥∨⫟⪎⋱⫍692⪒(⪎⋱⫍27A4⊘)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":176,"operation_count":3,"complexity_ratio":58.666666666666664,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5312,"base":13},"right_expr":{"type":"numeric_atoms","value":1133,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5711,"base":13}}},"used_operators":["f6k1SAg4EE","KYD54nUTWz","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5312","layer":2},{"info":"number node, value=1133","layer":2},{"info":"compute binary expreesion, left_input=5312, right_input=1133, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5711","layer":2},{"info":"compute unary expreesion, input=5711, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2558⫥∨⫟⪎⋱⫍692⪒(⪎⋱⫍27A4⊘)=NaN","reverse_text":"NaN=⪎⋱⫍2558⫥∨⫟⪎⋱⫍692⪒(⪎⋱⫍27A4⊘)","cot":[{"info":"⪎⋱⫍2558⫥∨⫟⪎⋱⫍692=NaN","layer":1},{"info":"⪎⋱⫍27A4⊘=⪎⋱⫍0","layer":1},{"info":"NaN⪒⪎⋱⫍0=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"($1197$∧)⩨$5554$⨪↰⇹$2556$","expression":"(⪎⋱⫍711∧)⩨⪎⋱⫍26B3⨪↰⇹⪎⋱⫍1218","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5564,"operation_count":3,"complexity_ratio":1854.6666666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1197,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5554,"base":13},"right_expr":{"type":"numeric_atoms","value":2556,"base":13}}},"used_operators":["2DlMacCsIx","z63VuFQld9","tmPS8pqC7x"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1197","layer":2},{"info":"compute unary expreesion, input=1197, 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=5554","layer":2},{"info":"number node, value=2556","layer":2},{"info":"compute binary expreesion, left_input=5554, right_input=2556, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5554","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5554, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍711∧)⩨⪎⋱⫍26B3⨪↰⇹⪎⋱⫍1218=NaN","reverse_text":"NaN=(⪎⋱⫍711∧)⩨⪎⋱⫍26B3⨪↰⇹⪎⋱⫍1218","cot":[{"info":"⪎⋱⫍711∧=NaN","layer":1},{"info":"⪎⋱⫍26B3⨪↰⇹⪎⋱⫍1218=⪎⋱⫍26B3","layer":1},{"info":"NaN⩨⪎⋱⫍26B3=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"$1691$≎⊠⪸$4463$↙($4700$⨳⩥⨓$2883$)","expression":"⪎⋱⫍A01≎⊠⪸⪎⋱⫍2054↙(⪎⋱⫍21A7⨳⩥⨓⪎⋱⫍140A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2093,"operation_count":3,"complexity_ratio":697.6666666666666,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1691,"base":13},"right_expr":{"type":"numeric_atoms","value":4463,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4700,"base":13},"right_expr":{"type":"numeric_atoms","value":2883,"base":13}}},"used_operators":["yyfyN0ffXY","bJkvcejdHO","nCS4ZIUYfx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-2634","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1691","layer":2},{"info":"number node, value=4463","layer":2},{"info":"compute binary expreesion, left_input=1691, right_input=4463, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=437496","layer":1},{"info":"number node, value=4700","layer":2},{"info":"number node, value=2883","layer":2},{"info":"compute binary expreesion, left_input=4700, right_input=2883, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1817","layer":1},{"info":"compute binary expreesion, left_input=437496, right_input=-1817, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5451","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A01≎⊠⪸⪎⋱⫍2054↙(⪎⋱⫍21A7⨳⩥⨓⪎⋱⫍140A)=⪎⋱⫍-2634","reverse_text":"⪎⋱⫍-2634=⪎⋱⫍A01≎⊠⪸⪎⋱⫍2054↙(⪎⋱⫍21A7⨳⩥⨓⪎⋱⫍140A)","cot":[{"info":"⪎⋱⫍A01≎⊠⪸⪎⋱⫍2054=⪎⋱⫍124197","layer":1},{"info":"⪎⋱⫍21A7⨳⩥⨓⪎⋱⫍140A=⪎⋱⫍-A9A","layer":1},{"info":"⪎⋱⫍124197↙⪎⋱⫍-A9A=⪎⋱⫍-2634","layer":0}]}
{"id":282,"expression_no_base_symbol":"($4596$⫡⨏$3290$)⩨($4757$⇼⇔∾$2358$)","expression":"(⪎⋱⫍2127⫡⨏⪎⋱⫍1661)⩨(⪎⋱⫍221C⇼⇔∾⪎⋱⫍10C5)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4596,"base":13},"right_expr":{"type":"numeric_atoms","value":3290,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4757,"base":13},"right_expr":{"type":"numeric_atoms","value":2358,"base":13}}},"used_operators":["2DlMacCsIx","QMFrweE19q","tifHPKVTfV"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4596","layer":2},{"info":"number node, value=3290","layer":2},{"info":"compute binary expreesion, left_input=4596, right_input=3290, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30343","layer":1},{"info":"number node, value=4757","layer":2},{"info":"number node, value=2358","layer":2},{"info":"compute binary expreesion, left_input=4757, right_input=2358, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2399","layer":1},{"info":"compute binary expreesion, left_input=30343, right_input=-2399, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2127⫡⨏⪎⋱⫍1661)⩨(⪎⋱⫍221C⇼⇔∾⪎⋱⫍10C5)=⪎⋱⫍3","reverse_text":"⪎⋱⫍3=(⪎⋱⫍2127⫡⨏⪎⋱⫍1661)⩨(⪎⋱⫍221C⇼⇔∾⪎⋱⫍10C5)","cot":[{"info":"⪎⋱⫍2127⫡⨏⪎⋱⫍1661=⪎⋱⫍10A71","layer":1},{"info":"⪎⋱⫍221C⇼⇔∾⪎⋱⫍10C5=⪎⋱⫍-1127","layer":1},{"info":"⪎⋱⫍10A71⩨⪎⋱⫍-1127=⪎⋱⫍3","layer":0}]}
{"id":283,"expression_no_base_symbol":"(⩦⩻⨪$3044$)↺($2352$↪⪝)","expression":"(⩦⩻⨪⪎⋱⫍1502)↺(⪎⋱⫍10BC↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":705,"operation_count":3,"complexity_ratio":235.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3044,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2352,"base":13}}},"used_operators":["7j4O788W3g","2td37pGCOC","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍23A74589","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":2},{"info":"compute unary expreesion, input=3044, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3044","layer":1},{"info":"number node, value=2352","layer":2},{"info":"compute unary expreesion, input=2352, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=143900064","layer":1},{"info":"compute binary expreesion, left_input=3044, right_input=143900064, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=143900064","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍1502)↺(⪎⋱⫍10BC↪⪝)=⪎⋱⫍23A74589","reverse_text":"⪎⋱⫍23A74589=(⩦⩻⨪⪎⋱⫍1502)↺(⪎⋱⫍10BC↪⪝)","cot":[{"info":"⩦⩻⨪⪎⋱⫍1502=⪎⋱⫍1502","layer":1},{"info":"⪎⋱⫍10BC↪⪝=⪎⋱⫍23A74589","layer":1},{"info":"⪎⋱⫍1502↺⪎⋱⫍23A74589=⪎⋱⫍23A74589","layer":0}]}
{"id":284,"expression_no_base_symbol":"+⊝⨔($4985$≣⋋)","expression":"+⊝⨔(⪎⋱⫍2366≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":534,"operation_count":2,"complexity_ratio":267.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4985,"base":13}}},"used_operators":["DhbWaqg5eL","Tcnh7f0tEr"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4985","layer":2},{"info":"compute unary expreesion, input=4985, 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 = 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍2366≣⋋)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍2366≣⋋)","cot":[{"info":"⪎⋱⫍2366≣⋋=⪎⋱⫍0","layer":1},{"info":"+⊝⨔⪎⋱⫍0=⪎⋱⫍901","layer":0}]}
{"id":285,"expression_no_base_symbol":"$1062$⨵⪆$2687$↪⪝","expression":"⪎⋱⫍639⨵⪆⪎⋱⫍12B9↪⪝","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":267,"operation_count":2,"complexity_ratio":133.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1062,"base":13},"right_expr":{"type":"numeric_atoms","value":2687,"base":13}}},"used_operators":["l07mrZUIn9","2DQ55sFlQl"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍20498A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":2},{"info":"number node, value=2687","layer":2},{"info":"compute binary expreesion, left_input=1062, right_input=2687, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=9789120","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍639⨵⪆⪎⋱⫍12B9↪⪝=⪎⋱⫍20498A3","reverse_text":"⪎⋱⫍20498A3=⪎⋱⫍639⨵⪆⪎⋱⫍12B9↪⪝","cot":[{"info":"⪎⋱⫍639⨵⪆⪎⋱⫍12B9=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍C4↪⪝=⪎⋱⫍20498A3","layer":0}]}
{"id":286,"expression_no_base_symbol":"⊙↵-($1331$⨽$2065$)","expression":"⊙↵-(⪎⋱⫍7B5⨽⪎⋱⫍C2B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1373,"operation_count":2,"complexity_ratio":686.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1331,"base":13},"right_expr":{"type":"numeric_atoms","value":2065,"base":13}}},"used_operators":["oWn0xqSxBt","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍121","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1331","layer":2},{"info":"number node, value=2065","layer":2},{"info":"compute binary expreesion, left_input=1331, right_input=2065, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5319564","layer":1},{"info":"compute unary expreesion, input=-5319564, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(⪎⋱⫍7B5⨽⪎⋱⫍C2B)=⪎⋱⫍121","reverse_text":"⪎⋱⫍121=⊙↵-(⪎⋱⫍7B5⨽⪎⋱⫍C2B)","cot":[{"info":"⪎⋱⫍7B5⨽⪎⋱⫍C2B=⪎⋱⫍-1143393","layer":1},{"info":"⊙↵-⪎⋱⫍-1143393=⪎⋱⫍121","layer":0}]}
{"id":287,"expression_no_base_symbol":"$1133$⊉≛↸$1409$⊭↱($4075$⩨$7677$)","expression":"⪎⋱⫍692⊉≛↸⪎⋱⫍845⊭↱(⪎⋱⫍1B16⩨⪎⋱⫍3657)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":1409,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4075,"base":13},"right_expr":{"type":"numeric_atoms","value":7677,"base":13}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-20A9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":2},{"info":"number node, value=1409","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=1409, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2266","layer":1},{"info":"number node, value=4075","layer":2},{"info":"number node, value=7677","layer":2},{"info":"compute binary expreesion, left_input=4075, right_input=7677, 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=2266, right_input=-3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4533","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍692⊉≛↸⪎⋱⫍845⊭↱(⪎⋱⫍1B16⩨⪎⋱⫍3657)=⪎⋱⫍-20A9","reverse_text":"⪎⋱⫍-20A9=⪎⋱⫍692⊉≛↸⪎⋱⫍845⊭↱(⪎⋱⫍1B16⩨⪎⋱⫍3657)","cot":[{"info":"⪎⋱⫍692⊉≛↸⪎⋱⫍845=⪎⋱⫍1054","layer":1},{"info":"⪎⋱⫍1B16⩨⪎⋱⫍3657=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍1054⊭↱⪎⋱⫍-3=⪎⋱⫍-20A9","layer":0}]}
{"id":288,"expression_no_base_symbol":"($1793$≧⫂∧$2268$)⨓($5019$*$2963$)","expression":"(⪎⋱⫍A7C≧⫂∧⪎⋱⫍1056)⨓(⪎⋱⫍2391*⪎⋱⫍146C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2971,"operation_count":3,"complexity_ratio":990.3333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1793,"base":13},"right_expr":{"type":"numeric_atoms","value":2268,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5019,"base":13},"right_expr":{"type":"numeric_atoms","value":2963,"base":13}}},"used_operators":["3ViojmjbAp","Ph9nP6C5qx","9HNa5Wba9A"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1793","layer":2},{"info":"number node, value=2268","layer":2},{"info":"compute binary expreesion, left_input=1793, right_input=2268, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1795","layer":1},{"info":"number node, value=5019","layer":2},{"info":"number node, value=2963","layer":2},{"info":"compute binary expreesion, left_input=5019, right_input=2963, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14871297","layer":1},{"info":"compute binary expreesion, left_input=1795, right_input=14871297, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A7C≧⫂∧⪎⋱⫍1056)⨓(⪎⋱⫍2391*⪎⋱⫍146C)=NaN","reverse_text":"NaN=(⪎⋱⫍A7C≧⫂∧⪎⋱⫍1056)⨓(⪎⋱⫍2391*⪎⋱⫍146C)","cot":[{"info":"⪎⋱⫍A7C≧⫂∧⪎⋱⫍1056=⪎⋱⫍A81","layer":1},{"info":"⪎⋱⫍2391*⪎⋱⫍146C=⪎⋱⫍3108BAC","layer":1},{"info":"⪎⋱⫍A81⨓⪎⋱⫍3108BAC=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"($1067$⨰$1035$)∼($1122$↺$1143$)","expression":"(⪎⋱⫍641⨰⪎⋱⫍618)∼(⪎⋱⫍684↺⪎⋱⫍69C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1067,"base":13},"right_expr":{"type":"numeric_atoms","value":1035,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1122,"base":13},"right_expr":{"type":"numeric_atoms","value":1143,"base":13}}},"used_operators":["DyGG3AbaNP","eewbuw0ToL","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1067","layer":2},{"info":"number node, value=1035","layer":2},{"info":"compute binary expreesion, left_input=1067, right_input=1035, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=42","layer":1},{"info":"number node, value=1122","layer":2},{"info":"number node, value=1143","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=1143, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1143","layer":1},{"info":"compute binary expreesion, left_input=42, right_input=1143, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍641⨰⪎⋱⫍618)∼(⪎⋱⫍684↺⪎⋱⫍69C)=NaN","reverse_text":"NaN=(⪎⋱⫍641⨰⪎⋱⫍618)∼(⪎⋱⫍684↺⪎⋱⫍69C)","cot":[{"info":"⪎⋱⫍641⨰⪎⋱⫍618=⪎⋱⫍33","layer":1},{"info":"⪎⋱⫍684↺⪎⋱⫍69C=⪎⋱⫍69C","layer":1},{"info":"⪎⋱⫍33∼⪎⋱⫍69C=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"(⨞⊢$1728$)⪒$1378$⨎$8027$","expression":"(⨞⊢⪎⋱⫍A2C)⪒⪎⋱⫍820⨎⪎⋱⫍3866","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1728,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1378,"base":13},"right_expr":{"type":"numeric_atoms","value":8027,"base":13}}},"used_operators":["f6k1SAg4EE","xUOZtlo3hN","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-2A32","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1728","layer":2},{"info":"compute unary expreesion, input=1728, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1902","layer":1},{"info":"number node, value=1378","layer":2},{"info":"number node, value=8027","layer":2},{"info":"compute binary expreesion, left_input=1378, right_input=8027, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8027","layer":1},{"info":"compute binary expreesion, left_input=-1902, right_input=8027, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6125","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍A2C)⪒⪎⋱⫍820⨎⪎⋱⫍3866=⪎⋱⫍-2A32","reverse_text":"⪎⋱⫍-2A32=(⨞⊢⪎⋱⫍A2C)⪒⪎⋱⫍820⨎⪎⋱⫍3866","cot":[{"info":"⨞⊢⪎⋱⫍A2C=⪎⋱⫍-B34","layer":1},{"info":"⪎⋱⫍820⨎⪎⋱⫍3866=⪎⋱⫍3866","layer":1},{"info":"⪎⋱⫍-B34⪒⪎⋱⫍3866=⪎⋱⫍-2A32","layer":0}]}
{"id":291,"expression_no_base_symbol":"($2482$≣⋋)∑⇟⊟($1211$⩨$1020$)","expression":"(⪎⋱⫍118C≣⋋)∑⇟⊟(⪎⋱⫍722⩨⪎⋱⫍606)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":519,"operation_count":3,"complexity_ratio":173.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2482,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1211,"base":13},"right_expr":{"type":"numeric_atoms","value":1020,"base":13}}},"used_operators":["U7g4x0WXJJ","Tcnh7f0tEr","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2482","layer":2},{"info":"compute unary expreesion, input=2482, 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=1211","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=1020, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍118C≣⋋)∑⇟⊟(⪎⋱⫍722⩨⪎⋱⫍606)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍118C≣⋋)∑⇟⊟(⪎⋱⫍722⩨⪎⋱⫍606)","cot":[{"info":"⪎⋱⫍118C≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍722⩨⪎⋱⫍606=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0∑⇟⊟⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":292,"expression_no_base_symbol":"∥⊫(↽≂$3712$)","expression":"∥⊫(↽≂⪎⋱⫍18C7)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3712,"base":13}}},"used_operators":["P8v4zCKN1o","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3712","layer":2},{"info":"compute unary expreesion, input=3712, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7424","layer":1},{"info":"compute unary expreesion, input=-7424, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫(↽≂⪎⋱⫍18C7)=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫(↽≂⪎⋱⫍18C7)","cot":[{"info":"↽≂⪎⋱⫍18C7=⪎⋱⫍-34C1","layer":1},{"info":"∥⊫⪎⋱⫍-34C1=⪎⋱⫍-43","layer":0}]}
{"id":293,"expression_no_base_symbol":"($5398$⫥∨⫟$1200$)+⇶⊼$2750$⪢$5133$","expression":"(⪎⋱⫍25C3⫥∨⫟⪎⋱⫍714)+⇶⊼⪎⋱⫍1337⪢⪎⋱⫍244B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5288,"operation_count":3,"complexity_ratio":1762.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5398,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2750,"base":13},"right_expr":{"type":"numeric_atoms","value":5133,"base":13}}},"used_operators":["TpPTUOHfaN","KYD54nUTWz","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5398","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=5398, right_input=1200, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2750","layer":2},{"info":"number node, value=5133","layer":2},{"info":"compute binary expreesion, left_input=2750, right_input=5133, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍25C3⫥∨⫟⪎⋱⫍714)+⇶⊼⪎⋱⫍1337⪢⪎⋱⫍244B=NaN","reverse_text":"NaN=(⪎⋱⫍25C3⫥∨⫟⪎⋱⫍714)+⇶⊼⪎⋱⫍1337⪢⪎⋱⫍244B","cot":[{"info":"⪎⋱⫍25C3⫥∨⫟⪎⋱⫍714=NaN","layer":1},{"info":"⪎⋱⫍1337⪢⪎⋱⫍244B=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"⨵≀≌(≉$2348$)","expression":"⨵≀≌(≉⪎⋱⫍10B8)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2348,"base":13}}},"used_operators":["srAu1WTS94","e1ybzncUwg"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-3C15","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2348","layer":2},{"info":"compute unary expreesion, input=2348, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2879","layer":1},{"info":"compute unary expreesion, input=2879, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8637","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(≉⪎⋱⫍10B8)=⪎⋱⫍-3C15","reverse_text":"⪎⋱⫍-3C15=⨵≀≌(≉⪎⋱⫍10B8)","cot":[{"info":"≉⪎⋱⫍10B8=⪎⋱⫍1406","layer":1},{"info":"⨵≀≌⪎⋱⫍1406=⪎⋱⫍-3C15","layer":0}]}
{"id":295,"expression_no_base_symbol":"($5511$⪨≂$1320$)≎⊠⪸$5397$⪛$4570$","expression":"(⪎⋱⫍267C⪨≂⪎⋱⫍7A7)≎⊠⪸⪎⋱⫍25C2⪛⪎⋱⫍2107","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":279,"operation_count":3,"complexity_ratio":93.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5511,"base":13},"right_expr":{"type":"numeric_atoms","value":1320,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5397,"base":13},"right_expr":{"type":"numeric_atoms","value":4570,"base":13}}},"used_operators":["bJkvcejdHO","sdazOOVcIp","uFcxV4UQCh"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍5BBC40","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5511","layer":2},{"info":"number node, value=1320","layer":2},{"info":"compute binary expreesion, left_input=5511, right_input=1320, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8484","layer":1},{"info":"number node, value=5397","layer":2},{"info":"number node, value=4570","layer":2},{"info":"compute binary expreesion, left_input=5397, right_input=4570, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=827","layer":1},{"info":"compute binary expreesion, left_input=8484, right_input=827, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2196883","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍267C⪨≂⪎⋱⫍7A7)≎⊠⪸⪎⋱⫍25C2⪛⪎⋱⫍2107=⪎⋱⫍5BBC40","reverse_text":"⪎⋱⫍5BBC40=(⪎⋱⫍267C⪨≂⪎⋱⫍7A7)≎⊠⪸⪎⋱⫍25C2⪛⪎⋱⫍2107","cot":[{"info":"⪎⋱⫍267C⪨≂⪎⋱⫍7A7=⪎⋱⫍3B28","layer":1},{"info":"⪎⋱⫍25C2⪛⪎⋱⫍2107=⪎⋱⫍4B8","layer":1},{"info":"⪎⋱⫍3B28≎⊠⪸⪎⋱⫍4B8=⪎⋱⫍5BBC40","layer":0}]}
{"id":296,"expression_no_base_symbol":"($1615$⨁⊸⫻)⊪","expression":"(⪎⋱⫍973⨁⊸⫻)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1615,"base":13}}},"used_operators":["zVYPLywUTj","glklzrTFfD"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1615","layer":2},{"info":"compute unary expreesion, input=1615, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1615","layer":1},{"info":"compute unary expreesion, input=1615, 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":13,"result_base":13,"text":"(⪎⋱⫍973⨁⊸⫻)⊪=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍973⨁⊸⫻)⊪","cot":[{"info":"⪎⋱⫍973⨁⊸⫻=⪎⋱⫍973","layer":1},{"info":"⪎⋱⫍973⊪=⪎⋱⫍0","layer":0}]}
{"id":297,"expression_no_base_symbol":"($4154$↙$3701$)⪘⫢(⋗⩬⋾$7305$)","expression":"(⪎⋱⫍1B77↙⪎⋱⫍18B9)⪘⫢(⋗⩬⋾⪎⋱⫍342C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3716,"operation_count":3,"complexity_ratio":1238.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4154,"base":13},"right_expr":{"type":"numeric_atoms","value":3701,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7305,"base":13}}},"used_operators":["oacrs7FA3X","yyfyN0ffXY","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4154","layer":2},{"info":"number node, value=3701","layer":2},{"info":"compute binary expreesion, left_input=4154, right_input=3701, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11103","layer":1},{"info":"number node, value=7305","layer":2},{"info":"compute unary expreesion, input=7305, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21915","layer":1},{"info":"compute binary expreesion, left_input=-11103, right_input=-21915, 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":13,"result_base":13,"text":"(⪎⋱⫍1B77↙⪎⋱⫍18B9)⪘⫢(⋗⩬⋾⪎⋱⫍342C)=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⪎⋱⫍1B77↙⪎⋱⫍18B9)⪘⫢(⋗⩬⋾⪎⋱⫍342C)","cot":[{"info":"⪎⋱⫍1B77↙⪎⋱⫍18B9=⪎⋱⫍-5091","layer":1},{"info":"⋗⩬⋾⪎⋱⫍342C=⪎⋱⫍-9C8A","layer":1},{"info":"⪎⋱⫍-5091⪘⫢⪎⋱⫍-9C8A=⪎⋱⫍-1","layer":0}]}
{"id":298,"expression_no_base_symbol":"($1297$⪨≂$1138$)⪄(≦∁$5133$)","expression":"(⪎⋱⫍78A⪨≂⪎⋱⫍697)⪄(≦∁⪎⋱⫍244B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1297,"base":13},"right_expr":{"type":"numeric_atoms","value":1138,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5133,"base":13}}},"used_operators":["SUmda5xLS4","sdazOOVcIp","9ICcGScMcE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍-29B21","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":2},{"info":"number node, value=1138","layer":2},{"info":"compute binary expreesion, left_input=1297, right_input=1138, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=420","layer":1},{"info":"number node, value=5133","layer":2},{"info":"compute unary expreesion, input=5133, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5133","layer":1},{"info":"compute binary expreesion, left_input=420, right_input=5133, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-78781","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍78A⪨≂⪎⋱⫍697)⪄(≦∁⪎⋱⫍244B)=⪎⋱⫍-29B21","reverse_text":"⪎⋱⫍-29B21=(⪎⋱⫍78A⪨≂⪎⋱⫍697)⪄(≦∁⪎⋱⫍244B)","cot":[{"info":"⪎⋱⫍78A⪨≂⪎⋱⫍697=⪎⋱⫍264","layer":1},{"info":"≦∁⪎⋱⫍244B=⪎⋱⫍244B","layer":1},{"info":"⪎⋱⫍264⪄⪎⋱⫍244B=⪎⋱⫍-29B21","layer":0}]}
{"id":299,"expression_no_base_symbol":"($6644$⪮%⊝$1168$)⨟⋌⩍(↥$1844$)","expression":"(⪎⋱⫍3041⪮%⊝⪎⋱⫍6BB)⨟⋌⩍(↥⪎⋱⫍ABB)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":587,"operation_count":3,"complexity_ratio":195.66666666666666,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6644,"base":13},"right_expr":{"type":"numeric_atoms","value":1168,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1844,"base":13}}},"used_operators":["rGHVDoGpnC","IWmyXbctLI","A8NUZmVepG"],"dependent_operators":["Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6644","layer":2},{"info":"number node, value=1168","layer":2},{"info":"compute binary expreesion, left_input=6644, right_input=1168, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13604","layer":1},{"info":"number node, value=1844","layer":2},{"info":"compute unary expreesion, input=1844, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":1},{"info":"compute binary expreesion, left_input=13604, right_input=8, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":13,"result_base":13,"text":"(⪎⋱⫍3041⪮%⊝⪎⋱⫍6BB)⨟⋌⩍(↥⪎⋱⫍ABB)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍3041⪮%⊝⪎⋱⫍6BB)⨟⋌⩍(↥⪎⋱⫍ABB)","cot":[{"info":"⪎⋱⫍3041⪮%⊝⪎⋱⫍6BB=⪎⋱⫍6266","layer":1},{"info":"↥⪎⋱⫍ABB=⪎⋱⫍8","layer":1},{"info":"⪎⋱⫍6266⨟⋌⩍⪎⋱⫍8=⪎⋱⫍0","layer":0}]}
{"id":300,"expression_no_base_symbol":"(≤/$1902$)*(↣≠⋷$3226$)","expression":"(≤/⪎⋱⫍B34)*(↣≠⋷⪎⋱⫍1612)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1902,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3226,"base":13}}},"used_operators":["9HNa5Wba9A","eLAdDNolq6","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":2},{"info":"compute unary expreesion, input=1902, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1418","layer":1},{"info":"number node, value=3226","layer":2},{"info":"compute unary expreesion, input=3226, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1418, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍B34)*(↣≠⋷⪎⋱⫍1612)=NaN","reverse_text":"NaN=(≤/⪎⋱⫍B34)*(↣≠⋷⪎⋱⫍1612)","cot":[{"info":"≤/⪎⋱⫍B34=⪎⋱⫍-851","layer":1},{"info":"↣≠⋷⪎⋱⫍1612=NaN","layer":1},{"info":"⪎⋱⫍-851*NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"↽≂(⨈⫕$1004$)","expression":"↽≂(⨈⫕⪎⋱⫍5C3)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1004,"base":13}}},"used_operators":["u6S6b8DprG","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍33","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=42","layer":0}],"base":13,"result_base":13,"text":"↽≂(⨈⫕⪎⋱⫍5C3)=⪎⋱⫍33","reverse_text":"⪎⋱⫍33=↽≂(⨈⫕⪎⋱⫍5C3)","cot":[{"info":"⨈⫕⪎⋱⫍5C3=⪎⋱⫍-18","layer":1},{"info":"↽≂⪎⋱⫍-18=⪎⋱⫍33","layer":0}]}
{"id":302,"expression_no_base_symbol":"⨵≀≌($1830$⪒$5761$)","expression":"⨵≀≌(⪎⋱⫍AAA⪒⪎⋱⫍2812)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7599,"operation_count":2,"complexity_ratio":3799.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1830,"base":13},"right_expr":{"type":"numeric_atoms","value":5761,"base":13}}},"used_operators":["srAu1WTS94","f6k1SAg4EE"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍BC27221","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":2},{"info":"number node, value=5761","layer":2},{"info":"compute binary expreesion, left_input=1830, right_input=5761, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7591","layer":1},{"info":"compute unary expreesion, input=-7591, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=57623281","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍AAA⪒⪎⋱⫍2812)=⪎⋱⫍BC27221","reverse_text":"⪎⋱⫍BC27221=⨵≀≌(⪎⋱⫍AAA⪒⪎⋱⫍2812)","cot":[{"info":"⪎⋱⫍AAA⪒⪎⋱⫍2812=⪎⋱⫍-35BC","layer":1},{"info":"⨵≀≌⪎⋱⫍-35BC=⪎⋱⫍BC27221","layer":0}]}
{"id":303,"expression_no_base_symbol":"($6083$⋥≓≎$1192$)∑⇟⊟(↯⪼$1543$)","expression":"(⪎⋱⫍29CC⋥≓≎⪎⋱⫍709)∑⇟⊟(↯⪼⪎⋱⫍919)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1563,"operation_count":3,"complexity_ratio":521.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6083,"base":13},"right_expr":{"type":"numeric_atoms","value":1192,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1543,"base":13}}},"used_operators":["U7g4x0WXJJ","Qy55tPpLXF","8jW3W4yZS5"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6083","layer":2},{"info":"number node, value=1192","layer":2},{"info":"compute binary expreesion, left_input=6083, right_input=1192, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3666","layer":1},{"info":"number node, value=1543","layer":2},{"info":"compute unary expreesion, input=1543, 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=-3666, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍29CC⋥≓≎⪎⋱⫍709)∑⇟⊟(↯⪼⪎⋱⫍919)=NaN","reverse_text":"NaN=(⪎⋱⫍29CC⋥≓≎⪎⋱⫍709)∑⇟⊟(↯⪼⪎⋱⫍919)","cot":[{"info":"⪎⋱⫍29CC⋥≓≎⪎⋱⫍709=⪎⋱⫍-1890","layer":1},{"info":"↯⪼⪎⋱⫍919=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍-1890∑⇟⊟⪎⋱⫍-18=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"($5749$⫡⨏$3720$)⫥∨⫟($3821$⨸⪁$1918$)","expression":"(⪎⋱⫍2803⫡⨏⪎⋱⫍1902)⫥∨⫟(⪎⋱⫍197C⨸⪁⪎⋱⫍B47)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5749,"base":13},"right_expr":{"type":"numeric_atoms","value":3720,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3821,"base":13},"right_expr":{"type":"numeric_atoms","value":1918,"base":13}}},"used_operators":["KYD54nUTWz","QMFrweE19q","g55IO6H4Gj"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5749","layer":2},{"info":"number node, value=3720","layer":2},{"info":"compute binary expreesion, left_input=5749, right_input=3720, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=36968","layer":1},{"info":"number node, value=3821","layer":2},{"info":"number node, value=1918","layer":2},{"info":"compute binary expreesion, left_input=3821, right_input=1918, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11478","layer":1},{"info":"compute binary expreesion, left_input=36968, right_input=11478, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2803⫡⨏⪎⋱⫍1902)⫥∨⫟(⪎⋱⫍197C⨸⪁⪎⋱⫍B47)=NaN","reverse_text":"NaN=(⪎⋱⫍2803⫡⨏⪎⋱⫍1902)⫥∨⫟(⪎⋱⫍197C⨸⪁⪎⋱⫍B47)","cot":[{"info":"⪎⋱⫍2803⫡⨏⪎⋱⫍1902=⪎⋱⫍13A99","layer":1},{"info":"⪎⋱⫍197C⨸⪁⪎⋱⫍B47=⪎⋱⫍52BC","layer":1},{"info":"⪎⋱⫍13A99⫥∨⫟⪎⋱⫍52BC=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"⪝⪂⫅$4159$∼$5910$","expression":"⪝⪂⫅⪎⋱⫍1B7C∼⪎⋱⫍28C8","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":87,"operation_count":2,"complexity_ratio":43.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4159,"base":13},"right_expr":{"type":"numeric_atoms","value":5910,"base":13}}},"used_operators":["XTarYq4gQB","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4159","layer":2},{"info":"number node, value=5910","layer":2},{"info":"compute binary expreesion, left_input=4159, right_input=5910, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅⪎⋱⫍1B7C∼⪎⋱⫍28C8=NaN","reverse_text":"NaN=⪝⪂⫅⪎⋱⫍1B7C∼⪎⋱⫍28C8","cot":[{"info":"⪎⋱⫍1B7C∼⪎⋱⫍28C8=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"(⋗⩬⋾$4195$)⨓(⋗⩬⋾$1316$)","expression":"(⋗⩬⋾⪎⋱⫍1BA9)⨓(⋗⩬⋾⪎⋱⫍7A3)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3960,"operation_count":3,"complexity_ratio":1320.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4195,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1316,"base":13}}},"used_operators":["3ViojmjbAp","DpFCA1CohY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A46","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4195","layer":2},{"info":"compute unary expreesion, input=4195, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12585","layer":1},{"info":"number node, value=1316","layer":2},{"info":"compute unary expreesion, input=1316, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3948","layer":1},{"info":"compute binary expreesion, left_input=-12585, right_input=-3948, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3945","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍1BA9)⨓(⋗⩬⋾⪎⋱⫍7A3)=⪎⋱⫍1A46","reverse_text":"⪎⋱⫍1A46=(⋗⩬⋾⪎⋱⫍1BA9)⨓(⋗⩬⋾⪎⋱⫍7A3)","cot":[{"info":"⋗⩬⋾⪎⋱⫍1BA9=⪎⋱⫍-5961","layer":1},{"info":"⋗⩬⋾⪎⋱⫍7A3=⪎⋱⫍-1A49","layer":1},{"info":"⪎⋱⫍-5961⨓⪎⋱⫍-1A49=⪎⋱⫍1A46","layer":0}]}
{"id":307,"expression_no_base_symbol":"$3848$⪢$2677$⪘⫢($1965$⩚⊴⇥$1013$)","expression":"⪎⋱⫍19A0⪢⪎⋱⫍12AC⪘⫢(⪎⋱⫍B82⩚⊴⇥⪎⋱⫍5CC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3342,"operation_count":3,"complexity_ratio":1114.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3848,"base":13},"right_expr":{"type":"numeric_atoms","value":2677,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1965,"base":13},"right_expr":{"type":"numeric_atoms","value":1013,"base":13}}},"used_operators":["oacrs7FA3X","dWAJyo7jo9","NTOWxs364D"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3848","layer":2},{"info":"number node, value=2677","layer":2},{"info":"compute binary expreesion, left_input=3848, right_input=2677, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1965","layer":2},{"info":"number node, value=1013","layer":2},{"info":"compute binary expreesion, left_input=1965, right_input=1013, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3099","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3099, 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":13,"result_base":13,"text":"⪎⋱⫍19A0⪢⪎⋱⫍12AC⪘⫢(⪎⋱⫍B82⩚⊴⇥⪎⋱⫍5CC)=NaN","reverse_text":"NaN=⪎⋱⫍19A0⪢⪎⋱⫍12AC⪘⫢(⪎⋱⫍B82⩚⊴⇥⪎⋱⫍5CC)","cot":[{"info":"⪎⋱⫍19A0⪢⪎⋱⫍12AC=NaN","layer":1},{"info":"⪎⋱⫍B82⩚⊴⇥⪎⋱⫍5CC=⪎⋱⫍-1545","layer":1},{"info":"NaN⪘⫢⪎⋱⫍-1545=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"(↽≂$3441$)∸","expression":"(↽≂⪎⋱⫍1749)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":180,"operation_count":2,"complexity_ratio":90.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3441,"base":13}}},"used_operators":["o20kRiQErp","u6S6b8DprG"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3441","layer":2},{"info":"compute unary expreesion, input=3441, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6882","layer":1},{"info":"compute unary expreesion, input=-6882, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍1749)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(↽≂⪎⋱⫍1749)∸","cot":[{"info":"↽≂⪎⋱⫍1749=⪎⋱⫍-3195","layer":1},{"info":"⪎⋱⫍-3195∸=⪎⋱⫍108","layer":0}]}
{"id":309,"expression_no_base_symbol":"⨵≀≌($2759$⇼⇔∾$6697$)","expression":"⨵≀≌(⪎⋱⫍1343⇼⇔∾⪎⋱⫍3082)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2759,"base":13},"right_expr":{"type":"numeric_atoms","value":6697,"base":13}}},"used_operators":["srAu1WTS94","tifHPKVTfV"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-54BA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2759","layer":2},{"info":"number node, value=6697","layer":2},{"info":"compute binary expreesion, left_input=2759, right_input=6697, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3938","layer":1},{"info":"compute unary expreesion, input=3938, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11814","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍1343⇼⇔∾⪎⋱⫍3082)=⪎⋱⫍-54BA","reverse_text":"⪎⋱⫍-54BA=⨵≀≌(⪎⋱⫍1343⇼⇔∾⪎⋱⫍3082)","cot":[{"info":"⪎⋱⫍1343⇼⇔∾⪎⋱⫍3082=⪎⋱⫍1A3C","layer":1},{"info":"⨵≀≌⪎⋱⫍1A3C=⪎⋱⫍-54BA","layer":0}]}
{"id":310,"expression_no_base_symbol":"($2360$↪⪝)≧⫂∧(∥⊫$1131$)","expression":"(⪎⋱⫍10C7↪⪝)≧⫂∧(∥⊫⪎⋱⫍690)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":705,"operation_count":3,"complexity_ratio":235.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2360,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1131,"base":13}}},"used_operators":["Ph9nP6C5qx","l07mrZUIn9","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍905","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2360","layer":2},{"info":"compute unary expreesion, input=2360, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=144389520","layer":1},{"info":"number node, value=1131","layer":2},{"info":"compute unary expreesion, input=1131, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1999","layer":1},{"info":"compute binary expreesion, left_input=144389520, right_input=1999, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1526","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍10C7↪⪝)≧⫂∧(∥⊫⪎⋱⫍690)=⪎⋱⫍905","reverse_text":"⪎⋱⫍905=(⪎⋱⫍10C7↪⪝)≧⫂∧(∥⊫⪎⋱⫍690)","cot":[{"info":"⪎⋱⫍10C7↪⪝=⪎⋱⫍23BB62B2","layer":1},{"info":"∥⊫⪎⋱⫍690=⪎⋱⫍BAA","layer":1},{"info":"⪎⋱⫍23BB62B2≧⫂∧⪎⋱⫍BAA=⪎⋱⫍905","layer":0}]}
{"id":311,"expression_no_base_symbol":"(⋗⩬⋾$2461$)⊘","expression":"(⋗⩬⋾⪎⋱⫍1174)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2461,"base":13}}},"used_operators":["gu96TGCTMs","DpFCA1CohY"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2461","layer":2},{"info":"compute unary expreesion, input=2461, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7383","layer":1},{"info":"compute unary expreesion, input=-7383, 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":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍1174)⊘=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⋗⩬⋾⪎⋱⫍1174)⊘","cot":[{"info":"⋗⩬⋾⪎⋱⫍1174=⪎⋱⫍-348C","layer":1},{"info":"⪎⋱⫍-348C⊘=⪎⋱⫍-1","layer":0}]}
{"id":312,"expression_no_base_symbol":"⋗⩬⋾(↽≂$2089$)","expression":"⋗⩬⋾(↽≂⪎⋱⫍C49)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2089,"base":13}}},"used_operators":["DpFCA1CohY","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍5922","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2089","layer":2},{"info":"compute unary expreesion, input=2089, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4178","layer":1},{"info":"compute unary expreesion, input=-4178, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12534","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(↽≂⪎⋱⫍C49)=⪎⋱⫍5922","reverse_text":"⪎⋱⫍5922=⋗⩬⋾(↽≂⪎⋱⫍C49)","cot":[{"info":"↽≂⪎⋱⫍C49=⪎⋱⫍-1B95","layer":1},{"info":"⋗⩬⋾⪎⋱⫍-1B95=⪎⋱⫍5922","layer":0}]}
{"id":313,"expression_no_base_symbol":"($6883$⊭↱$1504$)⋳⪒$3821$≭$2052$","expression":"(⪎⋱⫍3196⊭↱⪎⋱⫍8B9)⋳⪒⪎⋱⫍197C≭⪎⋱⫍C1B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6883,"base":13},"right_expr":{"type":"numeric_atoms","value":1504,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3821,"base":13},"right_expr":{"type":"numeric_atoms","value":2052,"base":13}}},"used_operators":["12rbrZMWeM","COABgblf1C","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6883","layer":2},{"info":"number node, value=1504","layer":2},{"info":"compute binary expreesion, left_input=6883, right_input=1504, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10753","layer":1},{"info":"number node, value=3821","layer":2},{"info":"number node, value=2052","layer":2},{"info":"compute binary expreesion, left_input=3821, right_input=2052, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-10753, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3196⊭↱⪎⋱⫍8B9)⋳⪒⪎⋱⫍197C≭⪎⋱⫍C1B=NaN","reverse_text":"NaN=(⪎⋱⫍3196⊭↱⪎⋱⫍8B9)⋳⪒⪎⋱⫍197C≭⪎⋱⫍C1B","cot":[{"info":"⪎⋱⫍3196⊭↱⪎⋱⫍8B9=⪎⋱⫍-4B82","layer":1},{"info":"⪎⋱⫍197C≭⪎⋱⫍C1B=NaN","layer":1},{"info":"⪎⋱⫍-4B82⋳⪒NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"(↯⪼$9305$)⋥≓≎($1051$-$1768$)","expression":"(↯⪼⪎⋱⫍430A)⋥≓≎(⪎⋱⫍62B-⪎⋱⫍A60)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9305,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1051,"base":13},"right_expr":{"type":"numeric_atoms","value":1768,"base":13}}},"used_operators":["Qy55tPpLXF","8jW3W4yZS5","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍-822","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9305","layer":2},{"info":"compute unary expreesion, input=9305, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1051","layer":2},{"info":"number node, value=1768","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=1768, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-717","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-717, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1380","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍430A)⋥≓≎(⪎⋱⫍62B-⪎⋱⫍A60)=⪎⋱⫍-822","reverse_text":"⪎⋱⫍-822=(↯⪼⪎⋱⫍430A)⋥≓≎(⪎⋱⫍62B-⪎⋱⫍A60)","cot":[{"info":"↯⪼⪎⋱⫍430A=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍62B-⪎⋱⫍A60=⪎⋱⫍-432","layer":1},{"info":"⪎⋱⫍-18⋥≓≎⪎⋱⫍-432=⪎⋱⫍-822","layer":0}]}
{"id":315,"expression_no_base_symbol":"(↩$1367$)≧⫂∧$3450$⪮%⊝$1033$","expression":"(↩⪎⋱⫍812)≧⫂∧⪎⋱⫍1755⪮%⊝⪎⋱⫍616","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1367,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3450,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}}},"used_operators":["Ph9nP6C5qx","jLgFTUHLKL","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍30B9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1367","layer":2},{"info":"compute unary expreesion, input=1367, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8156","layer":1},{"info":"number node, value=3450","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=3450, right_input=1033, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7216","layer":1},{"info":"compute binary expreesion, left_input=-8156, right_input=7216, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6743","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍812)≧⫂∧⪎⋱⫍1755⪮%⊝⪎⋱⫍616=⪎⋱⫍30B9","reverse_text":"⪎⋱⫍30B9=(↩⪎⋱⫍812)≧⫂∧⪎⋱⫍1755⪮%⊝⪎⋱⫍616","cot":[{"info":"↩⪎⋱⫍812=⪎⋱⫍-3935","layer":1},{"info":"⪎⋱⫍1755⪮%⊝⪎⋱⫍616=⪎⋱⫍3391","layer":1},{"info":"⪎⋱⫍-3935≧⫂∧⪎⋱⫍3391=⪎⋱⫍30B9","layer":0}]}
{"id":316,"expression_no_base_symbol":"($3411$⨵⪆$2606$)⇋≉","expression":"(⪎⋱⫍1725⨵⪆⪎⋱⫍1256)⇋≉","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3411,"base":13},"right_expr":{"type":"numeric_atoms","value":2606,"base":13}}},"used_operators":["XIabStNQrY","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍141","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3411","layer":2},{"info":"number node, value=2606","layer":2},{"info":"compute binary expreesion, left_input=3411, right_input=2606, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1725⨵⪆⪎⋱⫍1256)⇋≉=⪎⋱⫍141","reverse_text":"⪎⋱⫍141=(⪎⋱⫍1725⨵⪆⪎⋱⫍1256)⇋≉","cot":[{"info":"⪎⋱⫍1725⨵⪆⪎⋱⫍1256=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍C4⇋≉=⪎⋱⫍141","layer":0}]}
{"id":317,"expression_no_base_symbol":"$1295$⫸⊐$2624$⫡⨏$2093$↬$1033$","expression":"⪎⋱⫍788⫸⊐⪎⋱⫍126B⫡⨏⪎⋱⫍C50↬⪎⋱⫍616","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1295,"base":13},"right_expr":{"type":"numeric_atoms","value":2624,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2093,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}}},"used_operators":["QMFrweE19q","mqXw5SEYmG","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1295","layer":2},{"info":"number node, value=2624","layer":2},{"info":"compute binary expreesion, left_input=1295, right_input=2624, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10371","layer":1},{"info":"number node, value=2093","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=2093, right_input=1033, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=10371, 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":13,"result_base":13,"text":"⪎⋱⫍788⫸⊐⪎⋱⫍126B⫡⨏⪎⋱⫍C50↬⪎⋱⫍616=NaN","reverse_text":"NaN=⪎⋱⫍788⫸⊐⪎⋱⫍126B⫡⨏⪎⋱⫍C50↬⪎⋱⫍616","cot":[{"info":"⪎⋱⫍788⫸⊐⪎⋱⫍126B=⪎⋱⫍494A","layer":1},{"info":"⪎⋱⫍C50↬⪎⋱⫍616=NaN","layer":1},{"info":"⪎⋱⫍494A⫡⨏NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"↩$2605$≎⊠⪸$6642$","expression":"↩⪎⋱⫍1255≎⊠⪸⪎⋱⫍303C","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":286,"operation_count":2,"complexity_ratio":143.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2605,"base":13},"right_expr":{"type":"numeric_atoms","value":6642,"base":13}}},"used_operators":["jLgFTUHLKL","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-1169A50","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2605","layer":2},{"info":"number node, value=6642","layer":2},{"info":"compute binary expreesion, left_input=2605, right_input=6642, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=674222","layer":1},{"info":"compute unary expreesion, input=674222, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5390996","layer":0}],"base":13,"result_base":13,"text":"↩⪎⋱⫍1255≎⊠⪸⪎⋱⫍303C=⪎⋱⫍-1169A50","reverse_text":"⪎⋱⫍-1169A50=↩⪎⋱⫍1255≎⊠⪸⪎⋱⫍303C","cot":[{"info":"⪎⋱⫍1255≎⊠⪸⪎⋱⫍303C=⪎⋱⫍1A7B63","layer":1},{"info":"↩⪎⋱⫍1A7B63=⪎⋱⫍-1169A50","layer":0}]}
{"id":319,"expression_no_base_symbol":"(↽≂$4747$)⇼⇔∾($2367$≋⫹)","expression":"(↽≂⪎⋱⫍2212)⇼⇔∾(⪎⋱⫍1101≋⫹)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4747,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2367,"base":13}}},"used_operators":["tifHPKVTfV","u6S6b8DprG","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2222","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4747","layer":2},{"info":"compute unary expreesion, input=4747, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9494","layer":1},{"info":"number node, value=2367","layer":2},{"info":"compute unary expreesion, input=2367, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4734","layer":1},{"info":"compute binary expreesion, left_input=-9494, right_input=-4734, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4760","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍2212)⇼⇔∾(⪎⋱⫍1101≋⫹)=⪎⋱⫍2222","reverse_text":"⪎⋱⫍2222=(↽≂⪎⋱⫍2212)⇼⇔∾(⪎⋱⫍1101≋⫹)","cot":[{"info":"↽≂⪎⋱⫍2212=⪎⋱⫍-4424","layer":1},{"info":"⪎⋱⫍1101≋⫹=⪎⋱⫍-2202","layer":1},{"info":"⪎⋱⫍-4424⇼⇔∾⪎⋱⫍-2202=⪎⋱⫍2222","layer":0}]}
{"id":320,"expression_no_base_symbol":"$1802$⇼⇔∾$1107$∲⫓(⫓⪴$1385$)","expression":"⪎⋱⫍A88⇼⇔∾⪎⋱⫍672∲⫓(⫓⪴⪎⋱⫍827)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1389,"operation_count":3,"complexity_ratio":463.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1802,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1385,"base":13}}},"used_operators":["i8ToyICDmI","tifHPKVTfV","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":2},{"info":"number node, value=1107","layer":2},{"info":"compute binary expreesion, left_input=1802, right_input=1107, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-695","layer":1},{"info":"number node, value=1385","layer":2},{"info":"compute unary expreesion, input=1385, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1918225","layer":1},{"info":"compute binary expreesion, left_input=-695, right_input=1918225, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A88⇼⇔∾⪎⋱⫍672∲⫓(⫓⪴⪎⋱⫍827)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍A88⇼⇔∾⪎⋱⫍672∲⫓(⫓⪴⪎⋱⫍827)","cot":[{"info":"⪎⋱⫍A88⇼⇔∾⪎⋱⫍672=⪎⋱⫍-416","layer":1},{"info":"⫓⪴⪎⋱⫍827=⪎⋱⫍52215A","layer":1},{"info":"⪎⋱⫍-416∲⫓⪎⋱⫍52215A=⪎⋱⫍0","layer":0}]}
{"id":321,"expression_no_base_symbol":"($4894$≣⋋)↺$7877$⨟⋌⩍$3338$","expression":"(⪎⋱⫍22C6≣⋋)↺⪎⋱⫍377C⨟⋌⩍⪎⋱⫍169A","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":517,"operation_count":3,"complexity_ratio":172.33333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4894,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7877,"base":13},"right_expr":{"type":"numeric_atoms","value":3338,"base":13}}},"used_operators":["7j4O788W3g","Tcnh7f0tEr","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4894","layer":2},{"info":"compute unary expreesion, input=4894, 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=7877","layer":2},{"info":"number node, value=3338","layer":2},{"info":"compute binary expreesion, left_input=7877, right_input=3338, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍22C6≣⋋)↺⪎⋱⫍377C⨟⋌⩍⪎⋱⫍169A=NaN","reverse_text":"NaN=(⪎⋱⫍22C6≣⋋)↺⪎⋱⫍377C⨟⋌⩍⪎⋱⫍169A","cot":[{"info":"⪎⋱⫍22C6≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍377C⨟⋌⩍⪎⋱⫍169A=NaN","layer":1},{"info":"⪎⋱⫍0↺NaN=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"(+⊝⨔$5335$)⪨≂($1148$/$4468$)","expression":"(+⊝⨔⪎⋱⫍2575)⪨≂(⪎⋱⫍6A4/⪎⋱⫍2059)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5335,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1148,"base":13},"right_expr":{"type":"numeric_atoms","value":4468,"base":13}}},"used_operators":["sdazOOVcIp","DhbWaqg5eL","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍1580","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5335","layer":2},{"info":"compute unary expreesion, input=5335, 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=1148","layer":2},{"info":"number node, value=4468","layer":2},{"info":"compute binary expreesion, left_input=1148, right_input=4468, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=1522, 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=3146","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍2575)⪨≂(⪎⋱⫍6A4/⪎⋱⫍2059)=⪎⋱⫍1580","reverse_text":"⪎⋱⫍1580=(+⊝⨔⪎⋱⫍2575)⪨≂(⪎⋱⫍6A4/⪎⋱⫍2059)","cot":[{"info":"+⊝⨔⪎⋱⫍2575=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍6A4/⪎⋱⫍2059=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍901⪨≂⪎⋱⫍0=⪎⋱⫍1580","layer":0}]}
{"id":323,"expression_no_base_symbol":"($2171$⪒$7745$)⨎$2239$⪢$1863$","expression":"(⪎⋱⫍CB0⪒⪎⋱⫍36AA)⨎⪎⋱⫍1033⪢⪎⋱⫍B04","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4587,"operation_count":3,"complexity_ratio":1529.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2171,"base":13},"right_expr":{"type":"numeric_atoms","value":7745,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2239,"base":13},"right_expr":{"type":"numeric_atoms","value":1863,"base":13}}},"used_operators":["rJVOvQCfKK","f6k1SAg4EE","dWAJyo7jo9"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2171","layer":2},{"info":"number node, value=7745","layer":2},{"info":"compute binary expreesion, left_input=2171, right_input=7745, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9916","layer":1},{"info":"number node, value=2239","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=2239, right_input=1863, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-9916, 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":13,"result_base":13,"text":"(⪎⋱⫍CB0⪒⪎⋱⫍36AA)⨎⪎⋱⫍1033⪢⪎⋱⫍B04=NaN","reverse_text":"NaN=(⪎⋱⫍CB0⪒⪎⋱⫍36AA)⨎⪎⋱⫍1033⪢⪎⋱⫍B04","cot":[{"info":"⪎⋱⫍CB0⪒⪎⋱⫍36AA=⪎⋱⫍-468A","layer":1},{"info":"⪎⋱⫍1033⪢⪎⋱⫍B04=NaN","layer":1},{"info":"⪎⋱⫍-468A⨎NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"⊙↵-($5853$⨽$2857$)","expression":"⊙↵-(⪎⋱⫍2883⨽⪎⋱⫍13BA)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5895,"operation_count":2,"complexity_ratio":2947.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5853,"base":13},"right_expr":{"type":"numeric_atoms","value":2857,"base":13}}},"used_operators":["oWn0xqSxBt","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍121","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5853","layer":2},{"info":"number node, value=2857","layer":2},{"info":"compute binary expreesion, left_input=5853, right_input=2857, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-102780084","layer":1},{"info":"compute unary expreesion, input=-102780084, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(⪎⋱⫍2883⨽⪎⋱⫍13BA)=⪎⋱⫍121","reverse_text":"⪎⋱⫍121=⊙↵-(⪎⋱⫍2883⨽⪎⋱⫍13BA)","cot":[{"info":"⪎⋱⫍2883⨽⪎⋱⫍13BA=⪎⋱⫍-183A8024","layer":1},{"info":"⊙↵-⪎⋱⫍-183A8024=⪎⋱⫍121","layer":0}]}
{"id":325,"expression_no_base_symbol":"(↣≠⋷$2538$)≧⫂∧(↽≂$1034$)","expression":"(↣≠⋷⪎⋱⫍1203)≧⫂∧(↽≂⪎⋱⫍617)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2538,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1034,"base":13}}},"used_operators":["Ph9nP6C5qx","Asc51vEJeQ","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2538","layer":2},{"info":"compute unary expreesion, input=2538, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1034","layer":2},{"info":"compute unary expreesion, input=1034, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2068","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2068, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↣≠⋷⪎⋱⫍1203)≧⫂∧(↽≂⪎⋱⫍617)=NaN","reverse_text":"NaN=(↣≠⋷⪎⋱⫍1203)≧⫂∧(↽≂⪎⋱⫍617)","cot":[{"info":"↣≠⋷⪎⋱⫍1203=NaN","layer":1},{"info":"↽≂⪎⋱⫍617=⪎⋱⫍-C31","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍-C31=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"↩($1533$⋷$1645$)","expression":"↩(⪎⋱⫍90C⋷⪎⋱⫍997)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1533,"base":13},"right_expr":{"type":"numeric_atoms","value":1645,"base":13}}},"used_operators":["jLgFTUHLKL","23Mk6UjR3U"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-5195","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1533","layer":2},{"info":"number node, value=1645","layer":2},{"info":"compute binary expreesion, left_input=1533, right_input=1645, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1757","layer":1},{"info":"compute unary expreesion, input=1757, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11276","layer":0}],"base":13,"result_base":13,"text":"↩(⪎⋱⫍90C⋷⪎⋱⫍997)=⪎⋱⫍-5195","reverse_text":"⪎⋱⫍-5195=↩(⪎⋱⫍90C⋷⪎⋱⫍997)","cot":[{"info":"⪎⋱⫍90C⋷⪎⋱⫍997=⪎⋱⫍A52","layer":1},{"info":"↩⪎⋱⫍A52=⪎⋱⫍-5195","layer":0}]}
{"id":327,"expression_no_base_symbol":"($2991$⨰$5877$)≦≮≮","expression":"(⪎⋱⫍1491⨰⪎⋱⫍28A1)≦≮≮","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2991,"base":13},"right_expr":{"type":"numeric_atoms","value":5877,"base":13}}},"used_operators":["D4vGDi5EA2","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3C09","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2991","layer":2},{"info":"number node, value=5877","layer":2},{"info":"compute binary expreesion, left_input=2991, right_input=5877, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2876","layer":1},{"info":"compute unary expreesion, input=-2876, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=8628","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1491⨰⪎⋱⫍28A1)≦≮≮=⪎⋱⫍3C09","reverse_text":"⪎⋱⫍3C09=(⪎⋱⫍1491⨰⪎⋱⫍28A1)≦≮≮","cot":[{"info":"⪎⋱⫍1491⨰⪎⋱⫍28A1=⪎⋱⫍-1403","layer":1},{"info":"⪎⋱⫍-1403≦≮≮=⪎⋱⫍3C09","layer":0}]}
{"id":328,"expression_no_base_symbol":"$5874$⨸⪁$2265$-(⋗⩬⋾$5787$)","expression":"⪎⋱⫍289B⨸⪁⪎⋱⫍1053-(⋗⩬⋾⪎⋱⫍2832)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5874,"base":13},"right_expr":{"type":"numeric_atoms","value":2265,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5787,"base":13}}},"used_operators":["rysDP5nf3Z","g55IO6H4Gj","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍12408","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5874","layer":2},{"info":"number node, value=2265","layer":2},{"info":"compute binary expreesion, left_input=5874, right_input=2265, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16278","layer":1},{"info":"number node, value=5787","layer":2},{"info":"compute unary expreesion, input=5787, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17361","layer":1},{"info":"compute binary expreesion, left_input=16278, right_input=-17361, op_id = rysDP5nf3Z binary_op_definition= 'None', output=33639","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍289B⨸⪁⪎⋱⫍1053-(⋗⩬⋾⪎⋱⫍2832)=⪎⋱⫍12408","reverse_text":"⪎⋱⫍12408=⪎⋱⫍289B⨸⪁⪎⋱⫍1053-(⋗⩬⋾⪎⋱⫍2832)","cot":[{"info":"⪎⋱⫍289B⨸⪁⪎⋱⫍1053=⪎⋱⫍7542","layer":1},{"info":"⋗⩬⋾⪎⋱⫍2832=⪎⋱⫍-7B96","layer":1},{"info":"⪎⋱⫍7542-⪎⋱⫍-7B96=⪎⋱⫍12408","layer":0}]}
{"id":329,"expression_no_base_symbol":"($2096$↛⩡⫤)↬($1069$⨵⪆$2019$)","expression":"(⪎⋱⫍C53↛⩡⫤)↬(⪎⋱⫍643⨵⪆⪎⋱⫍BC4)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6424,"operation_count":3,"complexity_ratio":2141.3333333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2096,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1069,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}}},"used_operators":["B5M0gjZbta","FU0Cs4j7VP","2DQ55sFlQl"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2096","layer":2},{"info":"compute unary expreesion, input=2096, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-312585","layer":1},{"info":"number node, value=1069","layer":2},{"info":"number node, value=2019","layer":2},{"info":"compute binary expreesion, left_input=1069, right_input=2019, 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=-312585, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C53↛⩡⫤)↬(⪎⋱⫍643⨵⪆⪎⋱⫍BC4)=NaN","reverse_text":"NaN=(⪎⋱⫍C53↛⩡⫤)↬(⪎⋱⫍643⨵⪆⪎⋱⫍BC4)","cot":[{"info":"⪎⋱⫍C53↛⩡⫤=⪎⋱⫍-AC380","layer":1},{"info":"⪎⋱⫍643⨵⪆⪎⋱⫍BC4=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍-AC380↬⪎⋱⫍C4=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"$1724$⩚⊴⇥$1567$⫩⊇","expression":"⪎⋱⫍A28⩚⊴⇥⪎⋱⫍937⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1724,"base":13},"right_expr":{"type":"numeric_atoms","value":1567,"base":13}}},"used_operators":["BjRHVeLaeN","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍1759","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1724","layer":2},{"info":"number node, value=1567","layer":2},{"info":"compute binary expreesion, left_input=1724, right_input=1567, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3412","layer":1},{"info":"compute unary expreesion, input=-3412, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=3454","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A28⩚⊴⇥⪎⋱⫍937⫩⊇=⪎⋱⫍1759","reverse_text":"⪎⋱⫍1759=⪎⋱⫍A28⩚⊴⇥⪎⋱⫍937⫩⊇","cot":[{"info":"⪎⋱⫍A28⩚⊴⇥⪎⋱⫍937=⪎⋱⫍-1726","layer":1},{"info":"⪎⋱⫍-1726⫩⊇=⪎⋱⫍1759","layer":0}]}
{"id":331,"expression_no_base_symbol":"⨰⫟⨤($5511$⪠⩆⊳)","expression":"⨰⫟⨤(⪎⋱⫍267C⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":900,"operation_count":2,"complexity_ratio":450.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5511,"base":13}}},"used_operators":["Tw270M8GLb","JLbD19bQDL"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C13BA5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5511","layer":2},{"info":"compute unary expreesion, input=5511, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍267C⪠⩆⊳)=⪎⋱⫍C13BA5","reverse_text":"⪎⋱⫍C13BA5=⨰⫟⨤(⪎⋱⫍267C⪠⩆⊳)","cot":[{"info":"⪎⋱⫍267C⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":0}]}
{"id":332,"expression_no_base_symbol":"(⊥$2806$)≎⊠⪸$2538$∑⇟⊟$3486$","expression":"(⊥⪎⋱⫍137B)≎⊠⪸⪎⋱⫍1203∑⇟⊟⪎⋱⫍1782","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2806,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2538,"base":13},"right_expr":{"type":"numeric_atoms","value":3486,"base":13}}},"used_operators":["bJkvcejdHO","Q3PJZHRvZv","U7g4x0WXJJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2806","layer":2},{"info":"compute unary expreesion, input=2806, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2538","layer":2},{"info":"number node, value=3486","layer":2},{"info":"compute binary expreesion, left_input=2538, right_input=3486, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⊥⪎⋱⫍137B)≎⊠⪸⪎⋱⫍1203∑⇟⊟⪎⋱⫍1782=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⊥⪎⋱⫍137B)≎⊠⪸⪎⋱⫍1203∑⇟⊟⪎⋱⫍1782","cot":[{"info":"⊥⪎⋱⫍137B=NaN","layer":1},{"info":"⪎⋱⫍1203∑⇟⊟⪎⋱⫍1782=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":333,"expression_no_base_symbol":"$6022$≎⊠⪸$1130$%$4815$⫥∨⫟$2976$","expression":"⪎⋱⫍2983≎⊠⪸⪎⋱⫍68C%⪎⋱⫍2265⫥∨⫟⪎⋱⫍147C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6022,"base":13},"right_expr":{"type":"numeric_atoms","value":1130,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4815,"base":13},"right_expr":{"type":"numeric_atoms","value":2976,"base":13}}},"used_operators":["k8jYdgA6NY","bJkvcejdHO","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6022","layer":2},{"info":"number node, value=1130","layer":2},{"info":"compute binary expreesion, left_input=6022, right_input=1130, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1559225","layer":1},{"info":"number node, value=4815","layer":2},{"info":"number node, value=2976","layer":2},{"info":"compute binary expreesion, left_input=4815, right_input=2976, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1559225, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2983≎⊠⪸⪎⋱⫍68C%⪎⋱⫍2265⫥∨⫟⪎⋱⫍147C=NaN","reverse_text":"NaN=⪎⋱⫍2983≎⊠⪸⪎⋱⫍68C%⪎⋱⫍2265⫥∨⫟⪎⋱⫍147C","cot":[{"info":"⪎⋱⫍2983≎⊠⪸⪎⋱⫍68C=⪎⋱⫍427925","layer":1},{"info":"⪎⋱⫍2265⫥∨⫟⪎⋱⫍147C=NaN","layer":1},{"info":"⪎⋱⫍427925%NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"⫓⪴($8473$≋⫹)","expression":"⫓⪴(⪎⋱⫍3B1A≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16949,"operation_count":2,"complexity_ratio":8474.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8473,"base":13}}},"used_operators":["eLxqMNBOBk","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍4765686A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8473","layer":2},{"info":"compute unary expreesion, input=8473, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16946","layer":1},{"info":"compute unary expreesion, input=-16946, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=287166916","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍3B1A≋⫹)=⪎⋱⫍4765686A","reverse_text":"⪎⋱⫍4765686A=⫓⪴(⪎⋱⫍3B1A≋⫹)","cot":[{"info":"⪎⋱⫍3B1A≋⫹=⪎⋱⫍-7937","layer":1},{"info":"⫓⪴⪎⋱⫍-7937=⪎⋱⫍4765686A","layer":0}]}
{"id":335,"expression_no_base_symbol":"$2200$⨐⩸⫘$2764$↛⩡⫤","expression":"⪎⋱⫍1003⨐⩸⫘⪎⋱⫍1348↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2200,"base":13},"right_expr":{"type":"numeric_atoms","value":2764,"base":13}}},"used_operators":["FU0Cs4j7VP","fu6greOZ01"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2200","layer":2},{"info":"number node, value=2764","layer":2},{"info":"compute binary expreesion, left_input=2200, right_input=2764, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1003⨐⩸⫘⪎⋱⫍1348↛⩡⫤=NaN","reverse_text":"NaN=⪎⋱⫍1003⨐⩸⫘⪎⋱⫍1348↛⩡⫤","cot":[{"info":"⪎⋱⫍1003⨐⩸⫘⪎⋱⫍1348=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"+⊝⨔($1916$≧⫂∧$1404$)","expression":"+⊝⨔(⪎⋱⫍B45≧⫂∧⪎⋱⫍840)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1916,"base":13},"right_expr":{"type":"numeric_atoms","value":1404,"base":13}}},"used_operators":["DhbWaqg5eL","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1916","layer":2},{"info":"number node, value=1404","layer":2},{"info":"compute binary expreesion, left_input=1916, right_input=1404, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=931","layer":1},{"info":"compute unary expreesion, input=931, 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍B45≧⫂∧⪎⋱⫍840)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍B45≧⫂∧⪎⋱⫍840)","cot":[{"info":"⪎⋱⫍B45≧⫂∧⪎⋱⫍840=⪎⋱⫍568","layer":1},{"info":"+⊝⨔⪎⋱⫍568=⪎⋱⫍901","layer":0}]}
{"id":337,"expression_no_base_symbol":"$1857$⪛$3129$∲⫓$3661$⨎$3446$","expression":"⪎⋱⫍ACB⪛⪎⋱⫍1569∲⫓⪎⋱⫍1888⨎⪎⋱⫍1751","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1857,"base":13},"right_expr":{"type":"numeric_atoms","value":3129,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3661,"base":13},"right_expr":{"type":"numeric_atoms","value":3446,"base":13}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1857","layer":2},{"info":"number node, value=3129","layer":2},{"info":"compute binary expreesion, left_input=1857, right_input=3129, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1857","layer":1},{"info":"number node, value=3661","layer":2},{"info":"number node, value=3446","layer":2},{"info":"compute binary expreesion, left_input=3661, right_input=3446, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3446","layer":1},{"info":"compute binary expreesion, left_input=1857, right_input=3446, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍ACB⪛⪎⋱⫍1569∲⫓⪎⋱⫍1888⨎⪎⋱⫍1751=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍ACB⪛⪎⋱⫍1569∲⫓⪎⋱⫍1888⨎⪎⋱⫍1751","cot":[{"info":"⪎⋱⫍ACB⪛⪎⋱⫍1569=⪎⋱⫍ACB","layer":1},{"info":"⪎⋱⫍1888⨎⪎⋱⫍1751=⪎⋱⫍1751","layer":1},{"info":"⪎⋱⫍ACB∲⫓⪎⋱⫍1751=⪎⋱⫍0","layer":0}]}
{"id":338,"expression_no_base_symbol":"(↔$1760$)⨟⋌⩍($1282$⋥≓≎$2536$)","expression":"(↔⪎⋱⫍A55)⨟⋌⩍(⪎⋱⫍778⋥≓≎⪎⋱⫍1201)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1760,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1282,"base":13},"right_expr":{"type":"numeric_atoms","value":2536,"base":13}}},"used_operators":["rGHVDoGpnC","ruOEQAzv1W","Qy55tPpLXF"],"dependent_operators":["Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":2},{"info":"compute unary expreesion, input=1760, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1487","layer":1},{"info":"number node, value=1282","layer":2},{"info":"number node, value=2536","layer":2},{"info":"compute binary expreesion, left_input=1282, right_input=2536, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3823","layer":1},{"info":"compute binary expreesion, left_input=-1487, right_input=3823, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(↔⪎⋱⫍A55)⨟⋌⩍(⪎⋱⫍778⋥≓≎⪎⋱⫍1201)=NaN","reverse_text":"NaN=(↔⪎⋱⫍A55)⨟⋌⩍(⪎⋱⫍778⋥≓≎⪎⋱⫍1201)","cot":[{"info":"↔⪎⋱⫍A55=⪎⋱⫍-8A5","layer":1},{"info":"⪎⋱⫍778⋥≓≎⪎⋱⫍1201=⪎⋱⫍1981","layer":1},{"info":"⪎⋱⫍-8A5⨟⋌⩍⪎⋱⫍1981=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(⫛⫱⨽$1767$)≦≮≮","expression":"(⫛⫱⨽⪎⋱⫍A5C)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1767,"base":13}}},"used_operators":["D4vGDi5EA2","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1767","layer":2},{"info":"compute unary expreesion, input=1767, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍A5C)≦≮≮=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫛⫱⨽⪎⋱⫍A5C)≦≮≮","cot":[{"info":"⫛⫱⨽⪎⋱⫍A5C=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0≦≮≮=⪎⋱⫍0","layer":0}]}
{"id":340,"expression_no_base_symbol":"($3459$⪒$3665$)⊭↱$4391$⇷$1340$","expression":"(⪎⋱⫍1761⪒⪎⋱⫍188C)⊭↱⪎⋱⫍1CCA⇷⪎⋱⫍7C1","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61489,"operation_count":3,"complexity_ratio":20496.333333333332,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3459,"base":13},"right_expr":{"type":"numeric_atoms","value":3665,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4391,"base":13},"right_expr":{"type":"numeric_atoms","value":1340,"base":13}}},"used_operators":["COABgblf1C","f6k1SAg4EE","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍8C09","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3459","layer":2},{"info":"number node, value=3665","layer":2},{"info":"compute binary expreesion, left_input=3459, right_input=3665, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7124","layer":1},{"info":"number node, value=4391","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=4391, right_input=1340, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2680","layer":1},{"info":"compute binary expreesion, left_input=-7124, right_input=2680, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=19613","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1761⪒⪎⋱⫍188C)⊭↱⪎⋱⫍1CCA⇷⪎⋱⫍7C1=⪎⋱⫍8C09","reverse_text":"⪎⋱⫍8C09=(⪎⋱⫍1761⪒⪎⋱⫍188C)⊭↱⪎⋱⫍1CCA⇷⪎⋱⫍7C1","cot":[{"info":"⪎⋱⫍1761⪒⪎⋱⫍188C=⪎⋱⫍-3320","layer":1},{"info":"⪎⋱⫍1CCA⇷⪎⋱⫍7C1=⪎⋱⫍12B2","layer":1},{"info":"⪎⋱⫍-3320⊭↱⪎⋱⫍12B2=⪎⋱⫍8C09","layer":0}]}
{"id":341,"expression_no_base_symbol":"+⊝⨔($1249$⋷$2996$)","expression":"+⊝⨔(⪎⋱⫍751⋷⪎⋱⫍1496)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1249,"base":13},"right_expr":{"type":"numeric_atoms","value":2996,"base":13}}},"used_operators":["DhbWaqg5eL","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1249","layer":2},{"info":"number node, value=2996","layer":2},{"info":"compute binary expreesion, left_input=1249, right_input=2996, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4743","layer":1},{"info":"compute unary expreesion, input=4743, 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍751⋷⪎⋱⫍1496)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍751⋷⪎⋱⫍1496)","cot":[{"info":"⪎⋱⫍751⋷⪎⋱⫍1496=⪎⋱⫍220B","layer":1},{"info":"+⊝⨔⪎⋱⫍220B=⪎⋱⫍901","layer":0}]}
{"id":342,"expression_no_base_symbol":"($1848$⫩⊇)↺(+⊝⨔$4783$)","expression":"(⪎⋱⫍AC2⫩⊇)↺(+⊝⨔⪎⋱⫍223C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1848,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4783,"base":13}}},"used_operators":["7j4O788W3g","BjRHVeLaeN","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1848","layer":2},{"info":"compute unary expreesion, input=1848, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1806","layer":1},{"info":"number node, value=4783","layer":2},{"info":"compute unary expreesion, input=4783, 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=-1806, 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍AC2⫩⊇)↺(+⊝⨔⪎⋱⫍223C)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=(⪎⋱⫍AC2⫩⊇)↺(+⊝⨔⪎⋱⫍223C)","cot":[{"info":"⪎⋱⫍AC2⫩⊇=⪎⋱⫍-A8C","layer":1},{"info":"+⊝⨔⪎⋱⫍223C=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍-A8C↺⪎⋱⫍901=⪎⋱⫍901","layer":0}]}
{"id":343,"expression_no_base_symbol":"$9434$≭$1607$⨽($3616$⇋≉)","expression":"⪎⋱⫍43A9≭⪎⋱⫍968⨽(⪎⋱⫍1852⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":9434,"base":13},"right_expr":{"type":"numeric_atoms","value":1607,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3616,"base":13}}},"used_operators":["8HhzD0ZcuI","rxpJgHHUmx","XIabStNQrY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9434","layer":2},{"info":"number node, value=1607","layer":2},{"info":"compute binary expreesion, left_input=9434, right_input=1607, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3616","layer":2},{"info":"compute unary expreesion, input=3616, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7134, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍43A9≭⪎⋱⫍968⨽(⪎⋱⫍1852⇋≉)=NaN","reverse_text":"NaN=⪎⋱⫍43A9≭⪎⋱⫍968⨽(⪎⋱⫍1852⇋≉)","cot":[{"info":"⪎⋱⫍43A9≭⪎⋱⫍968=NaN","layer":1},{"info":"⪎⋱⫍1852⇋≉=⪎⋱⫍332A","layer":1},{"info":"NaN⨽⪎⋱⫍332A=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"($5252$⫌⩹⨱)⊉≛↸($3748$⊘)","expression":"(⪎⋱⫍2510⫌⩹⨱)⊉≛↸(⪎⋱⫍1924⊘)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5252,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3748,"base":13}}},"used_operators":["DZ8iAZOCBD","EBcxylXtPf","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍AAB7","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5252","layer":2},{"info":"compute unary expreesion, input=5252, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11905","layer":1},{"info":"number node, value=3748","layer":2},{"info":"compute unary expreesion, input=3748, 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=11905, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=23810","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2510⫌⩹⨱)⊉≛↸(⪎⋱⫍1924⊘)=⪎⋱⫍AAB7","reverse_text":"⪎⋱⫍AAB7=(⪎⋱⫍2510⫌⩹⨱)⊉≛↸(⪎⋱⫍1924⊘)","cot":[{"info":"⪎⋱⫍2510⫌⩹⨱=⪎⋱⫍555A","layer":1},{"info":"⪎⋱⫍1924⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍555A⊉≛↸⪎⋱⫍0=⪎⋱⫍AAB7","layer":0}]}
{"id":345,"expression_no_base_symbol":"($5059$⊉≛↸$3286$)≭(⊄⩳↩$1961$)","expression":"(⪎⋱⫍23C2⊉≛↸⪎⋱⫍165A)≭(⊄⩳↩⪎⋱⫍B7B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5059,"base":13},"right_expr":{"type":"numeric_atoms","value":3286,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1961,"base":13}}},"used_operators":["rxpJgHHUmx","DZ8iAZOCBD","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5059","layer":2},{"info":"number node, value=3286","layer":2},{"info":"compute binary expreesion, left_input=5059, right_input=3286, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10118","layer":1},{"info":"number node, value=1961","layer":2},{"info":"compute unary expreesion, input=1961, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5883","layer":1},{"info":"compute binary expreesion, left_input=10118, right_input=-5883, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍23C2⊉≛↸⪎⋱⫍165A)≭(⊄⩳↩⪎⋱⫍B7B)=NaN","reverse_text":"NaN=(⪎⋱⫍23C2⊉≛↸⪎⋱⫍165A)≭(⊄⩳↩⪎⋱⫍B7B)","cot":[{"info":"⪎⋱⫍23C2⊉≛↸⪎⋱⫍165A=⪎⋱⫍47B4","layer":1},{"info":"⊄⩳↩⪎⋱⫍B7B=⪎⋱⫍-28A7","layer":1},{"info":"⪎⋱⫍47B4≭⪎⋱⫍-28A7=NaN","layer":0}]}
{"id":346,"expression_no_base_symbol":"($8195$⨎$1594$)⩷∴($1718$⫡⨏$4115$)","expression":"(⪎⋱⫍3965⨎⪎⋱⫍958)⩷∴(⪎⋱⫍A22⫡⨏⪎⋱⫍1B47)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8195,"base":13},"right_expr":{"type":"numeric_atoms","value":1594,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1718,"base":13},"right_expr":{"type":"numeric_atoms","value":4115,"base":13}}},"used_operators":["9FxExcQeMw","rJVOvQCfKK","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-11785","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8195","layer":2},{"info":"number node, value=1594","layer":2},{"info":"compute binary expreesion, left_input=8195, right_input=1594, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1594","layer":1},{"info":"number node, value=1718","layer":2},{"info":"number node, value=4115","layer":2},{"info":"compute binary expreesion, left_input=1718, right_input=4115, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17603","layer":1},{"info":"compute binary expreesion, left_input=1594, right_input=17603, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32050","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3965⨎⪎⋱⫍958)⩷∴(⪎⋱⫍A22⫡⨏⪎⋱⫍1B47)=⪎⋱⫍-11785","reverse_text":"⪎⋱⫍-11785=(⪎⋱⫍3965⨎⪎⋱⫍958)⩷∴(⪎⋱⫍A22⫡⨏⪎⋱⫍1B47)","cot":[{"info":"⪎⋱⫍3965⨎⪎⋱⫍958=⪎⋱⫍958","layer":1},{"info":"⪎⋱⫍A22⫡⨏⪎⋱⫍1B47=⪎⋱⫍8021","layer":1},{"info":"⪎⋱⫍958⩷∴⪎⋱⫍8021=⪎⋱⫍-11785","layer":0}]}
{"id":347,"expression_no_base_symbol":"(∂$4862$)⨐⩸⫘($8040$↺$6811$)","expression":"(∂⪎⋱⫍22A0)⨐⩸⫘(⪎⋱⫍3876↺⪎⋱⫍313C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4862,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8040,"base":13},"right_expr":{"type":"numeric_atoms","value":6811,"base":13}}},"used_operators":["fu6greOZ01","Uaa54Peajs","7j4O788W3g"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4862","layer":2},{"info":"compute unary expreesion, input=4862, 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=8040","layer":2},{"info":"number node, value=6811","layer":2},{"info":"compute binary expreesion, left_input=8040, right_input=6811, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6811","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6811, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(∂⪎⋱⫍22A0)⨐⩸⫘(⪎⋱⫍3876↺⪎⋱⫍313C)=NaN","reverse_text":"NaN=(∂⪎⋱⫍22A0)⨐⩸⫘(⪎⋱⫍3876↺⪎⋱⫍313C)","cot":[{"info":"∂⪎⋱⫍22A0=NaN","layer":1},{"info":"⪎⋱⫍3876↺⪎⋱⫍313C=⪎⋱⫍313C","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍313C=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"$4781$⨓$2656$⨐⩸⫘($3103$⫡⨏$3158$)","expression":"⪎⋱⫍223A⨓⪎⋱⫍1294⨐⩸⫘(⪎⋱⫍1549⫡⨏⪎⋱⫍158C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2670,"operation_count":3,"complexity_ratio":890.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4781,"base":13},"right_expr":{"type":"numeric_atoms","value":2656,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3103,"base":13},"right_expr":{"type":"numeric_atoms","value":3158,"base":13}}},"used_operators":["fu6greOZ01","3ViojmjbAp","QMFrweE19q"],"dependent_operators":["3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4781","layer":2},{"info":"number node, value=2656","layer":2},{"info":"compute binary expreesion, left_input=4781, right_input=2656, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2659","layer":1},{"info":"number node, value=3103","layer":2},{"info":"number node, value=3158","layer":2},{"info":"compute binary expreesion, left_input=3103, right_input=3158, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22614","layer":1},{"info":"compute binary expreesion, left_input=-2659, right_input=22614, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍223A⨓⪎⋱⫍1294⨐⩸⫘(⪎⋱⫍1549⫡⨏⪎⋱⫍158C)=NaN","reverse_text":"NaN=⪎⋱⫍223A⨓⪎⋱⫍1294⨐⩸⫘(⪎⋱⫍1549⫡⨏⪎⋱⫍158C)","cot":[{"info":"⪎⋱⫍223A⨓⪎⋱⫍1294=⪎⋱⫍-1297","layer":1},{"info":"⪎⋱⫍1549⫡⨏⪎⋱⫍158C=⪎⋱⫍A3A7","layer":1},{"info":"⪎⋱⫍-1297⨐⩸⫘⪎⋱⫍A3A7=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"$1087$⊴$3359$⫌⩹⨱","expression":"⪎⋱⫍658⊴⪎⋱⫍16B5⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3372,"operation_count":2,"complexity_ratio":1686.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1087,"base":13},"right_expr":{"type":"numeric_atoms","value":3359,"base":13}}},"used_operators":["EBcxylXtPf","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"number node, value=3359","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=3359, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":13,"result_base":13,"text":"⪎⋱⫍658⊴⪎⋱⫍16B5⫌⩹⨱=NaN","reverse_text":"NaN=⪎⋱⫍658⊴⪎⋱⫍16B5⫌⩹⨱","cot":[{"info":"⪎⋱⫍658⊴⪎⋱⫍16B5=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"($1085$⪒$2262$)⪮%⊝($1539$*$7386$)","expression":"(⪎⋱⫍656⪒⪎⋱⫍1050)⪮%⊝(⪎⋱⫍915*⪎⋱⫍3492)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1551,"operation_count":3,"complexity_ratio":517.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":2262,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1539,"base":13},"right_expr":{"type":"numeric_atoms","value":7386,"base":13}}},"used_operators":["IWmyXbctLI","f6k1SAg4EE","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-2B98","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":2},{"info":"number node, value=2262","layer":2},{"info":"compute binary expreesion, left_input=1085, right_input=2262, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3347","layer":1},{"info":"number node, value=1539","layer":2},{"info":"number node, value=7386","layer":2},{"info":"compute binary expreesion, left_input=1539, right_input=7386, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11367054","layer":1},{"info":"compute binary expreesion, left_input=-3347, right_input=11367054, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-6378","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍656⪒⪎⋱⫍1050)⪮%⊝(⪎⋱⫍915*⪎⋱⫍3492)=⪎⋱⫍-2B98","reverse_text":"⪎⋱⫍-2B98=(⪎⋱⫍656⪒⪎⋱⫍1050)⪮%⊝(⪎⋱⫍915*⪎⋱⫍3492)","cot":[{"info":"⪎⋱⫍656⪒⪎⋱⫍1050=⪎⋱⫍-16A6","layer":1},{"info":"⪎⋱⫍915*⪎⋱⫍3492=⪎⋱⫍247CB8A","layer":1},{"info":"⪎⋱⫍-16A6⪮%⊝⪎⋱⫍247CB8A=⪎⋱⫍-2B98","layer":0}]}
{"id":351,"expression_no_base_symbol":"⫓⪴($1299$↺$1606$)","expression":"⫓⪴(⪎⋱⫍78C↺⪎⋱⫍967)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1608,"operation_count":2,"complexity_ratio":804.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1299,"base":13},"right_expr":{"type":"numeric_atoms","value":1606,"base":13}}},"used_operators":["eLxqMNBOBk","7j4O788W3g"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍6C3C9A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"number node, value=1606","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=1606, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1606","layer":1},{"info":"compute unary expreesion, input=1606, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2579236","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍78C↺⪎⋱⫍967)=⪎⋱⫍6C3C9A","reverse_text":"⪎⋱⫍6C3C9A=⫓⪴(⪎⋱⫍78C↺⪎⋱⫍967)","cot":[{"info":"⪎⋱⫍78C↺⪎⋱⫍967=⪎⋱⫍967","layer":1},{"info":"⫓⪴⪎⋱⫍967=⪎⋱⫍6C3C9A","layer":0}]}
{"id":352,"expression_no_base_symbol":"$2445$⩚⊴⇥$7866$⨎(⊙↵-$4098$)","expression":"⪎⋱⫍1161⩚⊴⇥⪎⋱⫍3771⨎(⊙↵-⪎⋱⫍1B33)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4148,"operation_count":3,"complexity_ratio":1382.6666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2445,"base":13},"right_expr":{"type":"numeric_atoms","value":7866,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4098,"base":13}}},"used_operators":["rJVOvQCfKK","NTOWxs364D","oWn0xqSxBt"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2445","layer":2},{"info":"number node, value=7866","layer":2},{"info":"compute binary expreesion, left_input=2445, right_input=7866, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10432","layer":1},{"info":"number node, value=4098","layer":2},{"info":"compute unary expreesion, input=4098, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-10432, 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":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1161⩚⊴⇥⪎⋱⫍3771⨎(⊙↵-⪎⋱⫍1B33)=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=⪎⋱⫍1161⩚⊴⇥⪎⋱⫍3771⨎(⊙↵-⪎⋱⫍1B33)","cot":[{"info":"⪎⋱⫍1161⩚⊴⇥⪎⋱⫍3771=⪎⋱⫍-4996","layer":1},{"info":"⊙↵-⪎⋱⫍1B33=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍-4996⨎⪎⋱⫍-1=⪎⋱⫍-1","layer":0}]}
{"id":353,"expression_no_base_symbol":"(⨑⩽⪐$2011$)↙(⊄⩳↩$3152$)","expression":"(⨑⩽⪐⪎⋱⫍BB9)↙(⊄⩳↩⪎⋱⫍1586)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2011,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3152,"base":13}}},"used_operators":["yyfyN0ffXY","AF7qkfDlqP","8w2t5hMYqp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-A39","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":2},{"info":"compute unary expreesion, input=2011, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1738","layer":1},{"info":"number node, value=3152","layer":2},{"info":"compute unary expreesion, input=3152, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9456","layer":1},{"info":"compute binary expreesion, left_input=-1738, right_input=-9456, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1738","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍BB9)↙(⊄⩳↩⪎⋱⫍1586)=⪎⋱⫍-A39","reverse_text":"⪎⋱⫍-A39=(⨑⩽⪐⪎⋱⫍BB9)↙(⊄⩳↩⪎⋱⫍1586)","cot":[{"info":"⨑⩽⪐⪎⋱⫍BB9=⪎⋱⫍-A39","layer":1},{"info":"⊄⩳↩⪎⋱⫍1586=⪎⋱⫍-43C5","layer":1},{"info":"⪎⋱⫍-A39↙⪎⋱⫍-43C5=⪎⋱⫍-A39","layer":0}]}
{"id":354,"expression_no_base_symbol":"($1734$⩨$7690$)⊘","expression":"(⪎⋱⫍A35⩨⪎⋱⫍3667)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":2,"complexity_ratio":14.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1734,"base":13},"right_expr":{"type":"numeric_atoms","value":7690,"base":13}}},"used_operators":["gu96TGCTMs","2DlMacCsIx"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1734","layer":2},{"info":"number node, value=7690","layer":2},{"info":"compute binary expreesion, left_input=1734, right_input=7690, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍A35⩨⪎⋱⫍3667)⊘=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍A35⩨⪎⋱⫍3667)⊘","cot":[{"info":"⪎⋱⫍A35⩨⪎⋱⫍3667=⪎⋱⫍-C","layer":1},{"info":"⪎⋱⫍-C⊘=⪎⋱⫍0","layer":0}]}
{"id":355,"expression_no_base_symbol":"↣≠⋷($3422$≦≮≮)","expression":"↣≠⋷(⪎⋱⫍1733≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3422,"base":13}}},"used_operators":["Asc51vEJeQ","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3422","layer":2},{"info":"compute unary expreesion, input=3422, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10266","layer":1},{"info":"compute unary expreesion, input=-10266, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(⪎⋱⫍1733≦≮≮)=NaN","reverse_text":"NaN=↣≠⋷(⪎⋱⫍1733≦≮≮)","cot":[{"info":"⪎⋱⫍1733≦≮≮=⪎⋱⫍-4899","layer":1},{"info":"↣≠⋷⪎⋱⫍-4899=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"($5262$⫌⩹⨱)≎⊠⪸($2510$⩚⊴⇥$4241$)","expression":"(⪎⋱⫍251A⫌⩹⨱)≎⊠⪸(⪎⋱⫍11B1⩚⊴⇥⪎⋱⫍1C13)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5262,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2510,"base":13},"right_expr":{"type":"numeric_atoms","value":4241,"base":13}}},"used_operators":["bJkvcejdHO","EBcxylXtPf","NTOWxs364D"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5262","layer":2},{"info":"compute unary expreesion, input=5262, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11925","layer":1},{"info":"number node, value=2510","layer":2},{"info":"number node, value=4241","layer":2},{"info":"compute binary expreesion, left_input=2510, right_input=4241, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6872","layer":1},{"info":"compute binary expreesion, left_input=11925, right_input=-6872, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍251A⫌⩹⨱)≎⊠⪸(⪎⋱⫍11B1⩚⊴⇥⪎⋱⫍1C13)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍251A⫌⩹⨱)≎⊠⪸(⪎⋱⫍11B1⩚⊴⇥⪎⋱⫍1C13)","cot":[{"info":"⪎⋱⫍251A⫌⩹⨱=⪎⋱⫍5574","layer":1},{"info":"⪎⋱⫍11B1⩚⊴⇥⪎⋱⫍1C13=⪎⋱⫍-3188","layer":1},{"info":"⪎⋱⫍5574≎⊠⪸⪎⋱⫍-3188=⪎⋱⫍52","layer":0}]}
{"id":357,"expression_no_base_symbol":"⨞⊢$1511$∼$1460$","expression":"⨞⊢⪎⋱⫍8C3∼⪎⋱⫍884","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1511,"base":13},"right_expr":{"type":"numeric_atoms","value":1460,"base":13}}},"used_operators":["xUOZtlo3hN","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1511","layer":2},{"info":"number node, value=1460","layer":2},{"info":"compute binary expreesion, left_input=1511, right_input=1460, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨞⊢⪎⋱⫍8C3∼⪎⋱⫍884=NaN","reverse_text":"NaN=⨞⊢⪎⋱⫍8C3∼⪎⋱⫍884","cot":[{"info":"⪎⋱⫍8C3∼⪎⋱⫍884=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"($1092$≫≃)⫥∨⫟(⨞⊢$5043$)","expression":"(⪎⋱⫍660≫≃)⫥∨⫟(⨞⊢⪎⋱⫍23AC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1092,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5043,"base":13}}},"used_operators":["KYD54nUTWz","X99M06cbEe","xUOZtlo3hN"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"compute unary expreesion, input=1092, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3585","layer":1},{"info":"number node, value=5043","layer":2},{"info":"compute unary expreesion, input=5043, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5217","layer":1},{"info":"compute binary expreesion, left_input=3585, right_input=-5217, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍660≫≃)⫥∨⫟(⨞⊢⪎⋱⫍23AC)=NaN","reverse_text":"NaN=(⪎⋱⫍660≫≃)⫥∨⫟(⨞⊢⪎⋱⫍23AC)","cot":[{"info":"⪎⋱⫍660≫≃=⪎⋱⫍182A","layer":1},{"info":"⨞⊢⪎⋱⫍23AC=⪎⋱⫍-24B4","layer":1},{"info":"⪎⋱⫍182A⫥∨⫟⪎⋱⫍-24B4=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"⫛⫱⨽($6171$⨓$2573$)","expression":"⫛⫱⨽(⪎⋱⫍2A69⨓⪎⋱⫍122C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4001,"operation_count":2,"complexity_ratio":2000.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6171,"base":13},"right_expr":{"type":"numeric_atoms","value":2573,"base":13}}},"used_operators":["DlLNRPXxWL","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6171","layer":2},{"info":"number node, value=2573","layer":2},{"info":"compute binary expreesion, left_input=6171, right_input=2573, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2576","layer":1},{"info":"compute unary expreesion, input=-2576, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍2A69⨓⪎⋱⫍122C)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(⪎⋱⫍2A69⨓⪎⋱⫍122C)","cot":[{"info":"⪎⋱⫍2A69⨓⪎⋱⫍122C=⪎⋱⫍-1232","layer":1},{"info":"⫛⫱⨽⪎⋱⫍-1232=⪎⋱⫍0","layer":0}]}
{"id":360,"expression_no_base_symbol":"(⨈⫕$2464$)↺(≤/$1718$)","expression":"(⨈⫕⪎⋱⫍1177)↺(≤/⪎⋱⫍A22)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":3,"complexity_ratio":129.66666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2464,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1718,"base":13}}},"used_operators":["7j4O788W3g","megm06wKyl","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"⪎⋱⫍-73C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2464","layer":2},{"info":"compute unary expreesion, input=2464, 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=1718","layer":2},{"info":"compute unary expreesion, input=1718, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1234","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1234, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1234","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍1177)↺(≤/⪎⋱⫍A22)=⪎⋱⫍-73C","reverse_text":"⪎⋱⫍-73C=(⨈⫕⪎⋱⫍1177)↺(≤/⪎⋱⫍A22)","cot":[{"info":"⨈⫕⪎⋱⫍1177=⪎⋱⫍-18","layer":1},{"info":"≤/⪎⋱⫍A22=⪎⋱⫍-73C","layer":1},{"info":"⪎⋱⫍-18↺⪎⋱⫍-73C=⪎⋱⫍-73C","layer":0}]}
{"id":361,"expression_no_base_symbol":"$1016$⊴$2992$≋⫹","expression":"⪎⋱⫍602⊴⪎⋱⫍1492≋⫹","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3001,"operation_count":2,"complexity_ratio":1500.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1016,"base":13},"right_expr":{"type":"numeric_atoms","value":2992,"base":13}}},"used_operators":["N41Kp7NANJ","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1016","layer":2},{"info":"number node, value=2992","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=2992, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍602⊴⪎⋱⫍1492≋⫹=NaN","reverse_text":"NaN=⪎⋱⫍602⊴⪎⋱⫍1492≋⫹","cot":[{"info":"⪎⋱⫍602⊴⪎⋱⫍1492=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"(⇁⨣⪵$1870$)⇷($1884$⋓$2589$)","expression":"(⇁⨣⪵⪎⋱⫍B0B)⇷(⪎⋱⫍B1C⋓⪎⋱⫍1242)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1870,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1884,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}},"used_operators":["mp7IySMOzn","inkyxCbjAn","T2fj7uvVaJ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1870","layer":2},{"info":"compute unary expreesion, input=1870, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1884","layer":2},{"info":"number node, value=2589","layer":2},{"info":"compute binary expreesion, left_input=1884, right_input=2589, op_id = T2fj7uvVaJ binary_op_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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍B0B)⇷(⪎⋱⫍B1C⋓⪎⋱⫍1242)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⇁⨣⪵⪎⋱⫍B0B)⇷(⪎⋱⫍B1C⋓⪎⋱⫍1242)","cot":[{"info":"⇁⨣⪵⪎⋱⫍B0B=NaN","layer":1},{"info":"⪎⋱⫍B1C⋓⪎⋱⫍1242=⪎⋱⫍0","layer":1},{"info":"NaN⇷⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":363,"expression_no_base_symbol":"(⪝⪂⫅$4292$)⊉≛↸($4092$⨁⊸⫻)","expression":"(⪝⪂⫅⪎⋱⫍1C52)⊉≛↸(⪎⋱⫍1B2A⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":155,"operation_count":3,"complexity_ratio":51.666666666666664,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4292,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4092,"base":13}}},"used_operators":["DZ8iAZOCBD","XTarYq4gQB","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-1B2A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4292","layer":2},{"info":"compute unary expreesion, input=4292, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-630924","layer":1},{"info":"number node, value=4092","layer":2},{"info":"compute unary expreesion, input=4092, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4092","layer":1},{"info":"compute binary expreesion, left_input=-630924, right_input=4092, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4092","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍1C52)⊉≛↸(⪎⋱⫍1B2A⨁⊸⫻)=⪎⋱⫍-1B2A","reverse_text":"⪎⋱⫍-1B2A=(⪝⪂⫅⪎⋱⫍1C52)⊉≛↸(⪎⋱⫍1B2A⨁⊸⫻)","cot":[{"info":"⪝⪂⫅⪎⋱⫍1C52=⪎⋱⫍-191238","layer":1},{"info":"⪎⋱⫍1B2A⨁⊸⫻=⪎⋱⫍1B2A","layer":1},{"info":"⪎⋱⫍-191238⊉≛↸⪎⋱⫍1B2A=⪎⋱⫍-1B2A","layer":0}]}
{"id":364,"expression_no_base_symbol":"∥⊫($2555$⪒$1115$)","expression":"∥⊫(⪎⋱⫍1217⪒⪎⋱⫍67A)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2555,"base":13},"right_expr":{"type":"numeric_atoms","value":1115,"base":13}}},"used_operators":["P8v4zCKN1o","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":2},{"info":"number node, value=1115","layer":2},{"info":"compute binary expreesion, left_input=2555, right_input=1115, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3670","layer":1},{"info":"compute unary expreesion, input=-3670, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍1217⪒⪎⋱⫍67A)=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫(⪎⋱⫍1217⪒⪎⋱⫍67A)","cot":[{"info":"⪎⋱⫍1217⪒⪎⋱⫍67A=⪎⋱⫍-1894","layer":1},{"info":"∥⊫⪎⋱⫍-1894=⪎⋱⫍-43","layer":0}]}
{"id":365,"expression_no_base_symbol":"∂$1812$∼$1883$","expression":"∂⪎⋱⫍A95∼⪎⋱⫍B1B","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1812,"base":13},"right_expr":{"type":"numeric_atoms","value":1883,"base":13}}},"used_operators":["Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1812","layer":2},{"info":"number node, value=1883","layer":2},{"info":"compute binary expreesion, left_input=1812, right_input=1883, 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 = 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":13,"result_base":13,"text":"∂⪎⋱⫍A95∼⪎⋱⫍B1B=NaN","reverse_text":"NaN=∂⪎⋱⫍A95∼⪎⋱⫍B1B","cot":[{"info":"⪎⋱⫍A95∼⪎⋱⫍B1B=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"($3730$⩷∴$2194$)∑⇟⊟($1770$*$2513$)","expression":"(⪎⋱⫍190C⩷∴⪎⋱⫍CCA)∑⇟⊟(⪎⋱⫍A62*⪎⋱⫍11B4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1777,"operation_count":3,"complexity_ratio":592.3333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3730,"base":13},"right_expr":{"type":"numeric_atoms","value":2194,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1770,"base":13},"right_expr":{"type":"numeric_atoms","value":2513,"base":13}}},"used_operators":["U7g4x0WXJJ","9FxExcQeMw","9HNa5Wba9A"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3730","layer":2},{"info":"number node, value=2194","layer":2},{"info":"compute binary expreesion, left_input=3730, right_input=2194, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3040","layer":1},{"info":"number node, value=1770","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=1770, right_input=2513, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4448010","layer":1},{"info":"compute binary expreesion, left_input=3040, right_input=4448010, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍190C⩷∴⪎⋱⫍CCA)∑⇟⊟(⪎⋱⫍A62*⪎⋱⫍11B4)=NaN","reverse_text":"NaN=(⪎⋱⫍190C⩷∴⪎⋱⫍CCA)∑⇟⊟(⪎⋱⫍A62*⪎⋱⫍11B4)","cot":[{"info":"⪎⋱⫍190C⩷∴⪎⋱⫍CCA=⪎⋱⫍14CB","layer":1},{"info":"⪎⋱⫍A62*⪎⋱⫍11B4=⪎⋱⫍BC9778","layer":1},{"info":"⪎⋱⫍14CB∑⇟⊟⪎⋱⫍BC9778=NaN","layer":0}]}
{"id":367,"expression_no_base_symbol":"(∂$1396$)⨳⩥⨓$1395$⋳⪒$3667$","expression":"(∂⪎⋱⫍835)⨳⩥⨓⪎⋱⫍834⋳⪒⪎⋱⫍1891","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1396,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1395,"base":13},"right_expr":{"type":"numeric_atoms","value":3667,"base":13}}},"used_operators":["nCS4ZIUYfx","Uaa54Peajs","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1396","layer":2},{"info":"compute unary expreesion, input=1396, 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=1395","layer":2},{"info":"number node, value=3667","layer":2},{"info":"compute binary expreesion, left_input=1395, right_input=3667, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1164","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1164, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂⪎⋱⫍835)⨳⩥⨓⪎⋱⫍834⋳⪒⪎⋱⫍1891=NaN","reverse_text":"NaN=(∂⪎⋱⫍835)⨳⩥⨓⪎⋱⫍834⋳⪒⪎⋱⫍1891","cot":[{"info":"∂⪎⋱⫍835=NaN","layer":1},{"info":"⪎⋱⫍834⋳⪒⪎⋱⫍1891=⪎⋱⫍-6B7","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍-6B7=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(≦∁$1863$)⨪↰⇹(⪲⇎$1760$)","expression":"(≦∁⪎⋱⫍B04)⨪↰⇹(⪲⇎⪎⋱⫍A55)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1866,"operation_count":3,"complexity_ratio":622.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1863,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1760,"base":13}}},"used_operators":["tmPS8pqC7x","9ICcGScMcE","XPYlsWDdGa"],"dependent_operators":["rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍B04","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1863","layer":2},{"info":"compute unary expreesion, input=1863, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1863","layer":1},{"info":"number node, value=1760","layer":2},{"info":"compute unary expreesion, input=1760, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3520","layer":1},{"info":"compute binary expreesion, left_input=1863, right_input=3520, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1863","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍B04)⨪↰⇹(⪲⇎⪎⋱⫍A55)=⪎⋱⫍B04","reverse_text":"⪎⋱⫍B04=(≦∁⪎⋱⫍B04)⨪↰⇹(⪲⇎⪎⋱⫍A55)","cot":[{"info":"≦∁⪎⋱⫍B04=⪎⋱⫍B04","layer":1},{"info":"⪲⇎⪎⋱⫍A55=⪎⋱⫍17AA","layer":1},{"info":"⪎⋱⫍B04⨪↰⇹⪎⋱⫍17AA=⪎⋱⫍B04","layer":0}]}
{"id":369,"expression_no_base_symbol":"$4734$≭$3046$⨽$1729$⨰$6742$","expression":"⪎⋱⫍2202≭⪎⋱⫍1504⨽⪎⋱⫍A30⨰⪎⋱⫍30B8","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4734,"base":13},"right_expr":{"type":"numeric_atoms","value":3046,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1729,"base":13},"right_expr":{"type":"numeric_atoms","value":6742,"base":13}}},"used_operators":["8HhzD0ZcuI","rxpJgHHUmx","eewbuw0ToL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4734","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=4734, right_input=3046, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1729","layer":2},{"info":"number node, value=6742","layer":2},{"info":"compute binary expreesion, left_input=1729, right_input=6742, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5003","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5003, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2202≭⪎⋱⫍1504⨽⪎⋱⫍A30⨰⪎⋱⫍30B8=NaN","reverse_text":"NaN=⪎⋱⫍2202≭⪎⋱⫍1504⨽⪎⋱⫍A30⨰⪎⋱⫍30B8","cot":[{"info":"⪎⋱⫍2202≭⪎⋱⫍1504=NaN","layer":1},{"info":"⪎⋱⫍A30⨰⪎⋱⫍30B8=⪎⋱⫍-237B","layer":1},{"info":"NaN⨽⪎⋱⫍-237B=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(⨑⩽⪐$3148$)↙(≤/$2175$)","expression":"(⨑⩽⪐⪎⋱⫍1582)↙(≤/⪎⋱⫍CB4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3148,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2175,"base":13}}},"used_operators":["yyfyN0ffXY","AF7qkfDlqP","eLAdDNolq6"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-1402","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3148","layer":2},{"info":"compute unary expreesion, input=3148, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2875","layer":1},{"info":"number node, value=2175","layer":2},{"info":"compute unary expreesion, input=2175, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1691","layer":1},{"info":"compute binary expreesion, left_input=-2875, right_input=-1691, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2875","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍1582)↙(≤/⪎⋱⫍CB4)=⪎⋱⫍-1402","reverse_text":"⪎⋱⫍-1402=(⨑⩽⪐⪎⋱⫍1582)↙(≤/⪎⋱⫍CB4)","cot":[{"info":"⨑⩽⪐⪎⋱⫍1582=⪎⋱⫍-1402","layer":1},{"info":"≤/⪎⋱⫍CB4=⪎⋱⫍-A01","layer":1},{"info":"⪎⋱⫍-1402↙⪎⋱⫍-A01=⪎⋱⫍-1402","layer":0}]}
{"id":371,"expression_no_base_symbol":"$1468$≧⫂∧$6999$∲⫓(⫛⫱⨽$2120$)","expression":"⪎⋱⫍88C≧⫂∧⪎⋱⫍3255∲⫓(⫛⫱⨽⪎⋱⫍C71)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1424,"operation_count":3,"complexity_ratio":474.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1468,"base":13},"right_expr":{"type":"numeric_atoms","value":6999,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2120,"base":13}}},"used_operators":["i8ToyICDmI","Ph9nP6C5qx","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍2C80","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1468","layer":2},{"info":"number node, value=6999","layer":2},{"info":"compute binary expreesion, left_input=1468, right_input=6999, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6526","layer":1},{"info":"number node, value=2120","layer":2},{"info":"compute unary expreesion, input=2120, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6526, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=6526","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍88C≧⫂∧⪎⋱⫍3255∲⫓(⫛⫱⨽⪎⋱⫍C71)=⪎⋱⫍2C80","reverse_text":"⪎⋱⫍2C80=⪎⋱⫍88C≧⫂∧⪎⋱⫍3255∲⫓(⫛⫱⨽⪎⋱⫍C71)","cot":[{"info":"⪎⋱⫍88C≧⫂∧⪎⋱⫍3255=⪎⋱⫍2C80","layer":1},{"info":"⫛⫱⨽⪎⋱⫍C71=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2C80∲⫓⪎⋱⫍0=⪎⋱⫍2C80","layer":0}]}
{"id":372,"expression_no_base_symbol":"$7402$≹⇙⪍$1486$↙$1624$∑⇟⊟$3062$","expression":"⪎⋱⫍34A5≹⇙⪍⪎⋱⫍8A4↙⪎⋱⫍97C∑⇟⊟⪎⋱⫍1517","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7402,"base":13},"right_expr":{"type":"numeric_atoms","value":1486,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1624,"base":13},"right_expr":{"type":"numeric_atoms","value":3062,"base":13}}},"used_operators":["yyfyN0ffXY","AHs5Up7iyr","U7g4x0WXJJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7402","layer":2},{"info":"number node, value=1486","layer":2},{"info":"compute binary expreesion, left_input=7402, 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":1},{"info":"number node, value=1624","layer":2},{"info":"number node, value=3062","layer":2},{"info":"compute binary expreesion, left_input=1624, right_input=3062, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍34A5≹⇙⪍⪎⋱⫍8A4↙⪎⋱⫍97C∑⇟⊟⪎⋱⫍1517=NaN","reverse_text":"NaN=⪎⋱⫍34A5≹⇙⪍⪎⋱⫍8A4↙⪎⋱⫍97C∑⇟⊟⪎⋱⫍1517","cot":[{"info":"⪎⋱⫍34A5≹⇙⪍⪎⋱⫍8A4=NaN","layer":1},{"info":"⪎⋱⫍97C∑⇟⊟⪎⋱⫍1517=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":373,"expression_no_base_symbol":"($2252$⪒$8968$)⩨($3808$⊭↱$6066$)","expression":"(⪎⋱⫍1043⪒⪎⋱⫍410B)⩨(⪎⋱⫍196C⊭↱⪎⋱⫍29B8)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2252,"base":13},"right_expr":{"type":"numeric_atoms","value":8968,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3808,"base":13},"right_expr":{"type":"numeric_atoms","value":6066,"base":13}}},"used_operators":["2DlMacCsIx","f6k1SAg4EE","COABgblf1C"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2252","layer":2},{"info":"number node, value=8968","layer":2},{"info":"compute binary expreesion, left_input=2252, right_input=8968, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11220","layer":1},{"info":"number node, value=3808","layer":2},{"info":"number node, value=6066","layer":2},{"info":"compute binary expreesion, left_input=3808, right_input=6066, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4521","layer":1},{"info":"compute binary expreesion, left_input=-11220, right_input=4521, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1043⪒⪎⋱⫍410B)⩨(⪎⋱⫍196C⊭↱⪎⋱⫍29B8)=⪎⋱⫍3","reverse_text":"⪎⋱⫍3=(⪎⋱⫍1043⪒⪎⋱⫍410B)⩨(⪎⋱⫍196C⊭↱⪎⋱⫍29B8)","cot":[{"info":"⪎⋱⫍1043⪒⪎⋱⫍410B=⪎⋱⫍-5151","layer":1},{"info":"⪎⋱⫍196C⊭↱⪎⋱⫍29B8=⪎⋱⫍209A","layer":1},{"info":"⪎⋱⫍-5151⩨⪎⋱⫍209A=⪎⋱⫍3","layer":0}]}
{"id":374,"expression_no_base_symbol":"(⨰⫟⨤$2021$)⇋≉","expression":"(⨰⫟⨤⪎⋱⫍BC6)⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7247,"operation_count":2,"complexity_ratio":3623.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2021,"base":13}}},"used_operators":["XIabStNQrY","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2021","layer":2},{"info":"compute unary expreesion, input=2021, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍BC6)⇋≉=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍BC6)⇋≉","cot":[{"info":"⨰⫟⨤⪎⋱⫍BC6=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"⊙↵-($2552$⩨$1240$)","expression":"⊙↵-(⪎⋱⫍1214⩨⪎⋱⫍745)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2552,"base":13},"right_expr":{"type":"numeric_atoms","value":1240,"base":13}}},"used_operators":["oWn0xqSxBt","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2552","layer":2},{"info":"number node, value=1240","layer":2},{"info":"compute binary expreesion, left_input=2552, right_input=1240, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(⪎⋱⫍1214⩨⪎⋱⫍745)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⊙↵-(⪎⋱⫍1214⩨⪎⋱⫍745)","cot":[{"info":"⪎⋱⫍1214⩨⪎⋱⫍745=⪎⋱⫍0","layer":1},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":376,"expression_no_base_symbol":"($1787$⫸⊐$2330$)⪢($4904$⊉≛↸$2650$)","expression":"(⪎⋱⫍A76⫸⊐⪎⋱⫍10A3)⪢(⪎⋱⫍2303⊉≛↸⪎⋱⫍128B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9834,"operation_count":3,"complexity_ratio":3278.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1787,"base":13},"right_expr":{"type":"numeric_atoms","value":2330,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4904,"base":13},"right_expr":{"type":"numeric_atoms","value":2650,"base":13}}},"used_operators":["dWAJyo7jo9","mqXw5SEYmG","DZ8iAZOCBD"],"dependent_operators":["k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"number node, value=2330","layer":2},{"info":"compute binary expreesion, left_input=1787, right_input=2330, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9195","layer":1},{"info":"number node, value=4904","layer":2},{"info":"number node, value=2650","layer":2},{"info":"compute binary expreesion, left_input=4904, right_input=2650, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9808","layer":1},{"info":"compute binary expreesion, left_input=9195, right_input=9808, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⪎⋱⫍A76⫸⊐⪎⋱⫍10A3)⪢(⪎⋱⫍2303⊉≛↸⪎⋱⫍128B)=NaN","reverse_text":"NaN=(⪎⋱⫍A76⫸⊐⪎⋱⫍10A3)⪢(⪎⋱⫍2303⊉≛↸⪎⋱⫍128B)","cot":[{"info":"⪎⋱⫍A76⫸⊐⪎⋱⫍10A3=⪎⋱⫍4254","layer":1},{"info":"⪎⋱⫍2303⊉≛↸⪎⋱⫍128B=⪎⋱⫍4606","layer":1},{"info":"⪎⋱⫍4254⪢⪎⋱⫍4606=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"$4140$⪢$1250$⨓($2308$⋷$1705$)","expression":"⪎⋱⫍1B66⪢⪎⋱⫍752⨓(⪎⋱⫍1087⋷⪎⋱⫍A12)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2456,"operation_count":3,"complexity_ratio":818.6666666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4140,"base":13},"right_expr":{"type":"numeric_atoms","value":1250,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2308,"base":13},"right_expr":{"type":"numeric_atoms","value":1705,"base":13}}},"used_operators":["3ViojmjbAp","dWAJyo7jo9","23Mk6UjR3U"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-670","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4140","layer":2},{"info":"number node, value=1250","layer":2},{"info":"compute binary expreesion, left_input=4140, right_input=1250, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2308","layer":2},{"info":"number node, value=1705","layer":2},{"info":"compute binary expreesion, left_input=2308, right_input=1705, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1102","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1102, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1105","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B66⪢⪎⋱⫍752⨓(⪎⋱⫍1087⋷⪎⋱⫍A12)=⪎⋱⫍-670","reverse_text":"⪎⋱⫍-670=⪎⋱⫍1B66⪢⪎⋱⫍752⨓(⪎⋱⫍1087⋷⪎⋱⫍A12)","cot":[{"info":"⪎⋱⫍1B66⪢⪎⋱⫍752=NaN","layer":1},{"info":"⪎⋱⫍1087⋷⪎⋱⫍A12=⪎⋱⫍66A","layer":1},{"info":"NaN⨓⪎⋱⫍66A=⪎⋱⫍-670","layer":0}]}
{"id":378,"expression_no_base_symbol":"$3306$⨐⩸⫘$2355$-$3193$⨓$1457$","expression":"⪎⋱⫍1674⨐⩸⫘⪎⋱⫍10C2-⪎⋱⫍15B8⨓⪎⋱⫍881","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1465,"operation_count":3,"complexity_ratio":488.3333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3306,"base":13},"right_expr":{"type":"numeric_atoms","value":2355,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3193,"base":13},"right_expr":{"type":"numeric_atoms","value":1457,"base":13}}},"used_operators":["rysDP5nf3Z","fu6greOZ01","3ViojmjbAp"],"dependent_operators":["3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3306","layer":2},{"info":"number node, value=2355","layer":2},{"info":"compute binary expreesion, left_input=3306, right_input=2355, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3193","layer":2},{"info":"number node, value=1457","layer":2},{"info":"compute binary expreesion, left_input=3193, right_input=1457, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1460","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1460, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1674⨐⩸⫘⪎⋱⫍10C2-⪎⋱⫍15B8⨓⪎⋱⫍881=NaN","reverse_text":"NaN=⪎⋱⫍1674⨐⩸⫘⪎⋱⫍10C2-⪎⋱⫍15B8⨓⪎⋱⫍881","cot":[{"info":"⪎⋱⫍1674⨐⩸⫘⪎⋱⫍10C2=NaN","layer":1},{"info":"⪎⋱⫍15B8⨓⪎⋱⫍881=⪎⋱⫍-884","layer":1},{"info":"NaN-⪎⋱⫍-884=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"$4043$↙$2805$%($3448$≋⫹)","expression":"⪎⋱⫍1AC0↙⪎⋱⫍137A%(⪎⋱⫍1753≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2812,"operation_count":3,"complexity_ratio":937.3333333333334,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4043,"base":13},"right_expr":{"type":"numeric_atoms","value":2805,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3448,"base":13}}},"used_operators":["k8jYdgA6NY","yyfyN0ffXY","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-8CB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4043","layer":2},{"info":"number node, value=2805","layer":2},{"info":"compute binary expreesion, left_input=4043, right_input=2805, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8415","layer":1},{"info":"number node, value=3448","layer":2},{"info":"compute unary expreesion, input=3448, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6896","layer":1},{"info":"compute binary expreesion, left_input=-8415, right_input=-6896, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1519","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1AC0↙⪎⋱⫍137A%(⪎⋱⫍1753≋⫹)=⪎⋱⫍-8CB","reverse_text":"⪎⋱⫍-8CB=⪎⋱⫍1AC0↙⪎⋱⫍137A%(⪎⋱⫍1753≋⫹)","cot":[{"info":"⪎⋱⫍1AC0↙⪎⋱⫍137A=⪎⋱⫍-3AA4","layer":1},{"info":"⪎⋱⫍1753≋⫹=⪎⋱⫍-31A6","layer":1},{"info":"⪎⋱⫍-3AA4%⪎⋱⫍-31A6=⪎⋱⫍-8CB","layer":0}]}
{"id":380,"expression_no_base_symbol":"$1117$⨓$3251$⪨≂$2197$↙$1781$","expression":"⪎⋱⫍67C⨓⪎⋱⫍1631⪨≂⪎⋱⫍1000↙⪎⋱⫍A70","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5046,"operation_count":3,"complexity_ratio":1682.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1117,"base":13},"right_expr":{"type":"numeric_atoms","value":3251,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2197,"base":13},"right_expr":{"type":"numeric_atoms","value":1781,"base":13}}},"used_operators":["sdazOOVcIp","3ViojmjbAp","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍1C43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":2},{"info":"number node, value=3251","layer":2},{"info":"compute binary expreesion, left_input=1117, right_input=3251, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3254","layer":1},{"info":"number node, value=2197","layer":2},{"info":"number node, value=1781","layer":2},{"info":"compute binary expreesion, left_input=2197, right_input=1781, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5343","layer":1},{"info":"compute binary expreesion, left_input=-3254, right_input=-5343, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4280","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍67C⨓⪎⋱⫍1631⪨≂⪎⋱⫍1000↙⪎⋱⫍A70=⪎⋱⫍1C43","reverse_text":"⪎⋱⫍1C43=⪎⋱⫍67C⨓⪎⋱⫍1631⪨≂⪎⋱⫍1000↙⪎⋱⫍A70","cot":[{"info":"⪎⋱⫍67C⨓⪎⋱⫍1631=⪎⋱⫍-1634","layer":1},{"info":"⪎⋱⫍1000↙⪎⋱⫍A70=⪎⋱⫍-2580","layer":1},{"info":"⪎⋱⫍-1634⪨≂⪎⋱⫍-2580=⪎⋱⫍1C43","layer":0}]}
{"id":381,"expression_no_base_symbol":"($3464$⋳⪒$3084$)⊦⊿","expression":"(⪎⋱⫍1766⋳⪒⪎⋱⫍1533)⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3464,"base":13},"right_expr":{"type":"numeric_atoms","value":3084,"base":13}}},"used_operators":["14qkJME0vr","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-4B7C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3464","layer":2},{"info":"number node, value=3084","layer":2},{"info":"compute binary expreesion, left_input=3464, right_input=3084, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3557","layer":1},{"info":"compute unary expreesion, input=3557, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10750","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1766⋳⪒⪎⋱⫍1533)⊦⊿=⪎⋱⫍-4B7C","reverse_text":"⪎⋱⫍-4B7C=(⪎⋱⫍1766⋳⪒⪎⋱⫍1533)⊦⊿","cot":[{"info":"⪎⋱⫍1766⋳⪒⪎⋱⫍1533=⪎⋱⫍1808","layer":1},{"info":"⪎⋱⫍1808⊦⊿=⪎⋱⫍-4B7C","layer":0}]}
{"id":382,"expression_no_base_symbol":"(↽≂$1338$)⫩⊇","expression":"(↽≂⪎⋱⫍7BC)⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1338,"base":13}}},"used_operators":["BjRHVeLaeN","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1311","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":2},{"info":"compute unary expreesion, input=1338, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2676","layer":1},{"info":"compute unary expreesion, input=-2676, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2718","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍7BC)⫩⊇=⪎⋱⫍1311","reverse_text":"⪎⋱⫍1311=(↽≂⪎⋱⫍7BC)⫩⊇","cot":[{"info":"↽≂⪎⋱⫍7BC=⪎⋱⫍-12AB","layer":1},{"info":"⪎⋱⫍-12AB⫩⊇=⪎⋱⫍1311","layer":0}]}
{"id":383,"expression_no_base_symbol":"$1687$↙$1572$+$3171$⋳⪒$1675$","expression":"⪎⋱⫍9CA↙⪎⋱⫍93C+⪎⋱⫍159C⋳⪒⪎⋱⫍9BB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1583,"operation_count":3,"complexity_ratio":527.6666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1687,"base":13},"right_expr":{"type":"numeric_atoms","value":1572,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3171,"base":13},"right_expr":{"type":"numeric_atoms","value":1675,"base":13}}},"used_operators":["W4YGzv6Whe","yyfyN0ffXY","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-1CB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1687","layer":2},{"info":"number node, value=1572","layer":2},{"info":"compute binary expreesion, left_input=1687, right_input=1572, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4716","layer":1},{"info":"number node, value=3171","layer":2},{"info":"number node, value=1675","layer":2},{"info":"compute binary expreesion, left_input=3171, right_input=1675, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4380","layer":1},{"info":"compute binary expreesion, left_input=-4716, right_input=4380, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-336","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍9CA↙⪎⋱⫍93C+⪎⋱⫍159C⋳⪒⪎⋱⫍9BB=⪎⋱⫍-1CB","reverse_text":"⪎⋱⫍-1CB=⪎⋱⫍9CA↙⪎⋱⫍93C+⪎⋱⫍159C⋳⪒⪎⋱⫍9BB","cot":[{"info":"⪎⋱⫍9CA↙⪎⋱⫍93C=⪎⋱⫍-21BA","layer":1},{"info":"⪎⋱⫍159C⋳⪒⪎⋱⫍9BB=⪎⋱⫍1CBC","layer":1},{"info":"⪎⋱⫍-21BA+⪎⋱⫍1CBC=⪎⋱⫍-1CB","layer":0}]}
{"id":384,"expression_no_base_symbol":"$1919$⋳⪒$6833$⪨≂(≉$4746$)","expression":"⪎⋱⫍B48⋳⪒⪎⋱⫍3158⪨≂(≉⪎⋱⫍2211)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1919,"base":13},"right_expr":{"type":"numeric_atoms","value":6833,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4746,"base":13}}},"used_operators":["sdazOOVcIp","12rbrZMWeM","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-798C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1919","layer":2},{"info":"number node, value=6833","layer":2},{"info":"compute binary expreesion, left_input=1919, right_input=6833, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3282","layer":1},{"info":"number node, value=4746","layer":2},{"info":"compute unary expreesion, input=4746, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5277","layer":1},{"info":"compute binary expreesion, left_input=-3282, right_input=5277, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-17016","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍B48⋳⪒⪎⋱⫍3158⪨≂(≉⪎⋱⫍2211)=⪎⋱⫍-798C","reverse_text":"⪎⋱⫍-798C=⪎⋱⫍B48⋳⪒⪎⋱⫍3158⪨≂(≉⪎⋱⫍2211)","cot":[{"info":"⪎⋱⫍B48⋳⪒⪎⋱⫍3158=⪎⋱⫍-1656","layer":1},{"info":"≉⪎⋱⫍2211=⪎⋱⫍252C","layer":1},{"info":"⪎⋱⫍-1656⪨≂⪎⋱⫍252C=⪎⋱⫍-798C","layer":0}]}
{"id":385,"expression_no_base_symbol":"$4577$⊴$1518$*(⨑⩽⪐$1431$)","expression":"⪎⋱⫍2111⊴⪎⋱⫍8CA*(⨑⩽⪐⪎⋱⫍861)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1729,"operation_count":3,"complexity_ratio":576.3333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4577,"base":13},"right_expr":{"type":"numeric_atoms","value":1518,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1431,"base":13}}},"used_operators":["9HNa5Wba9A","Nsiff2A1zJ","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4577","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=4577, right_input=1518, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1431","layer":2},{"info":"compute unary expreesion, input=1431, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1158","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1158, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2111⊴⪎⋱⫍8CA*(⨑⩽⪐⪎⋱⫍861)=NaN","reverse_text":"NaN=⪎⋱⫍2111⊴⪎⋱⫍8CA*(⨑⩽⪐⪎⋱⫍861)","cot":[{"info":"⪎⋱⫍2111⊴⪎⋱⫍8CA=NaN","layer":1},{"info":"⨑⩽⪐⪎⋱⫍861=⪎⋱⫍-6B1","layer":1},{"info":"NaN*⪎⋱⫍-6B1=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"$3331$∑⇟⊟$3599$⪄($1431$∲⫓$2249$)","expression":"⪎⋱⫍1693∑⇟⊟⪎⋱⫍183B⪄(⪎⋱⫍861∲⫓⪎⋱⫍1040)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3331,"base":13},"right_expr":{"type":"numeric_atoms","value":3599,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1431,"base":13},"right_expr":{"type":"numeric_atoms","value":2249,"base":13}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","i8ToyICDmI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3331","layer":2},{"info":"number node, value=3599","layer":2},{"info":"compute binary expreesion, left_input=3331, right_input=3599, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1431","layer":2},{"info":"number node, value=2249","layer":2},{"info":"compute binary expreesion, left_input=1431, right_input=2249, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1693∑⇟⊟⪎⋱⫍183B⪄(⪎⋱⫍861∲⫓⪎⋱⫍1040)=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=⪎⋱⫍1693∑⇟⊟⪎⋱⫍183B⪄(⪎⋱⫍861∲⫓⪎⋱⫍1040)","cot":[{"info":"⪎⋱⫍1693∑⇟⊟⪎⋱⫍183B=NaN","layer":1},{"info":"⪎⋱⫍861∲⫓⪎⋱⫍1040=⪎⋱⫍0","layer":1},{"info":"NaN⪄⪎⋱⫍0=⪎⋱⫍1A71","layer":0}]}
{"id":387,"expression_no_base_symbol":"(↽≂$3857$)⇼⇔∾$4151$∀⇚≩$1372$","expression":"(↽≂⪎⋱⫍19A9)⇼⇔∾⪎⋱⫍1B74∀⇚≩⪎⋱⫍817","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29062,"operation_count":3,"complexity_ratio":9687.333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3857,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4151,"base":13},"right_expr":{"type":"numeric_atoms","value":1372,"base":13}}},"used_operators":["tifHPKVTfV","u6S6b8DprG","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":2},{"info":"compute unary expreesion, input=3857, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7714","layer":1},{"info":"number node, value=4151","layer":2},{"info":"number node, value=1372","layer":2},{"info":"compute binary expreesion, left_input=4151, right_input=1372, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-7714, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍19A9)⇼⇔∾⪎⋱⫍1B74∀⇚≩⪎⋱⫍817=NaN","reverse_text":"NaN=(↽≂⪎⋱⫍19A9)⇼⇔∾⪎⋱⫍1B74∀⇚≩⪎⋱⫍817","cot":[{"info":"↽≂⪎⋱⫍19A9=⪎⋱⫍-3685","layer":1},{"info":"⪎⋱⫍1B74∀⇚≩⪎⋱⫍817=NaN","layer":1},{"info":"⪎⋱⫍-3685⇼⇔∾NaN=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"($6256$⫸⊐$1129$)⩚⊴⇥($1189$↺$3718$)","expression":"(⪎⋱⫍2B03⫸⊐⪎⋱⫍68B)⩚⊴⇥(⪎⋱⫍706↺⪎⋱⫍1900)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6256,"base":13},"right_expr":{"type":"numeric_atoms","value":1129,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":3718,"base":13}}},"used_operators":["NTOWxs364D","mqXw5SEYmG","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-3991","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6256","layer":2},{"info":"number node, value=1129","layer":2},{"info":"compute binary expreesion, left_input=6256, right_input=1129, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4391","layer":1},{"info":"number node, value=1189","layer":2},{"info":"number node, value=3718","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=3718, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3718","layer":1},{"info":"compute binary expreesion, left_input=4391, right_input=3718, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8230","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2B03⫸⊐⪎⋱⫍68B)⩚⊴⇥(⪎⋱⫍706↺⪎⋱⫍1900)=⪎⋱⫍-3991","reverse_text":"⪎⋱⫍-3991=(⪎⋱⫍2B03⫸⊐⪎⋱⫍68B)⩚⊴⇥(⪎⋱⫍706↺⪎⋱⫍1900)","cot":[{"info":"⪎⋱⫍2B03⫸⊐⪎⋱⫍68B=⪎⋱⫍1CCA","layer":1},{"info":"⪎⋱⫍706↺⪎⋱⫍1900=⪎⋱⫍1900","layer":1},{"info":"⪎⋱⫍1CCA⩚⊴⇥⪎⋱⫍1900=⪎⋱⫍-3991","layer":0}]}
{"id":389,"expression_no_base_symbol":"(≦∁$3614$)⩨(⫓⪴$1245$)","expression":"(≦∁⪎⋱⫍1850)⩨(⫓⪴⪎⋱⫍74A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1677,"operation_count":3,"complexity_ratio":559.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3614,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1245,"base":13}}},"used_operators":["2DlMacCsIx","9ICcGScMcE","eLxqMNBOBk"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A"],"result":"⪎⋱⫍-77A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3614","layer":2},{"info":"compute unary expreesion, input=3614, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3614","layer":1},{"info":"number node, value=1245","layer":2},{"info":"compute unary expreesion, input=1245, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1550025","layer":1},{"info":"compute binary expreesion, left_input=3614, right_input=1550025, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-1284","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍1850)⩨(⫓⪴⪎⋱⫍74A)=⪎⋱⫍-77A","reverse_text":"⪎⋱⫍-77A=(≦∁⪎⋱⫍1850)⩨(⫓⪴⪎⋱⫍74A)","cot":[{"info":"≦∁⪎⋱⫍1850=⪎⋱⫍1850","layer":1},{"info":"⫓⪴⪎⋱⫍74A=⪎⋱⫍423699","layer":1},{"info":"⪎⋱⫍1850⩨⪎⋱⫍423699=⪎⋱⫍-77A","layer":0}]}
{"id":390,"expression_no_base_symbol":"($1172$⪄$2032$)≹⇙⪍($1348$≣⋋)","expression":"(⪎⋱⫍6C2⪄⪎⋱⫍C04)≹⇙⪍(⪎⋱⫍7C9≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":610,"operation_count":3,"complexity_ratio":203.33333333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1172,"base":13},"right_expr":{"type":"numeric_atoms","value":2032,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1348,"base":13}}},"used_operators":["AHs5Up7iyr","SUmda5xLS4","Tcnh7f0tEr"],"dependent_operators":["dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍-62B42","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":2},{"info":"number node, value=2032","layer":2},{"info":"compute binary expreesion, left_input=1172, right_input=2032, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-177673","layer":1},{"info":"number node, value=1348","layer":2},{"info":"compute unary expreesion, input=1348, 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=-177673, 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=-177673","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6C2⪄⪎⋱⫍C04)≹⇙⪍(⪎⋱⫍7C9≣⋋)=⪎⋱⫍-62B42","reverse_text":"⪎⋱⫍-62B42=(⪎⋱⫍6C2⪄⪎⋱⫍C04)≹⇙⪍(⪎⋱⫍7C9≣⋋)","cot":[{"info":"⪎⋱⫍6C2⪄⪎⋱⫍C04=⪎⋱⫍-62B42","layer":1},{"info":"⪎⋱⫍7C9≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-62B42≹⇙⪍⪎⋱⫍0=⪎⋱⫍-62B42","layer":0}]}
{"id":391,"expression_no_base_symbol":"($7304$⩠)⫡⨏(+⊝⨔$1535$)","expression":"(⪎⋱⫍342B⩠)⫡⨏(+⊝⨔⪎⋱⫍911)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":7304,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1535,"base":13}}},"used_operators":["QMFrweE19q","sJAwomhLZr","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍1985","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7304","layer":2},{"info":"compute unary expreesion, input=7304, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1535","layer":2},{"info":"compute unary expreesion, input=1535, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍342B⩠)⫡⨏(+⊝⨔⪎⋱⫍911)=⪎⋱⫍1985","reverse_text":"⪎⋱⫍1985=(⪎⋱⫍342B⩠)⫡⨏(+⊝⨔⪎⋱⫍911)","cot":[{"info":"⪎⋱⫍342B⩠=⪎⋱⫍0","layer":1},{"info":"+⊝⨔⪎⋱⫍911=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍901=⪎⋱⫍1985","layer":0}]}
{"id":392,"expression_no_base_symbol":"⫓⪴($2186$⩷∴$5069$)","expression":"⫓⪴(⪎⋱⫍CC2⩷∴⪎⋱⫍23CC)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5804,"operation_count":2,"complexity_ratio":2902.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2186,"base":13},"right_expr":{"type":"numeric_atoms","value":5069,"base":13}}},"used_operators":["eLxqMNBOBk","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z"],"result":"⪎⋱⫍6C70300","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2186","layer":2},{"info":"number node, value=5069","layer":2},{"info":"compute binary expreesion, left_input=2186, right_input=5069, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5798","layer":1},{"info":"compute unary expreesion, input=-5798, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=33616804","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍CC2⩷∴⪎⋱⫍23CC)=⪎⋱⫍6C70300","reverse_text":"⪎⋱⫍6C70300=⫓⪴(⪎⋱⫍CC2⩷∴⪎⋱⫍23CC)","cot":[{"info":"⪎⋱⫍CC2⩷∴⪎⋱⫍23CC=⪎⋱⫍-2840","layer":1},{"info":"⫓⪴⪎⋱⫍-2840=⪎⋱⫍6C70300","layer":0}]}
{"id":393,"expression_no_base_symbol":"(↽≂$1697$)⊭↱$5141$∼$1767$","expression":"(↽≂⪎⋱⫍A07)⊭↱⪎⋱⫍2456∼⪎⋱⫍A5C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":111,"operation_count":3,"complexity_ratio":37.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1697,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5141,"base":13},"right_expr":{"type":"numeric_atoms","value":1767,"base":13}}},"used_operators":["COABgblf1C","u6S6b8DprG","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1697","layer":2},{"info":"compute unary expreesion, input=1697, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3394","layer":1},{"info":"number node, value=5141","layer":2},{"info":"number node, value=1767","layer":2},{"info":"compute binary expreesion, left_input=5141, right_input=1767, 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=-3394, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍A07)⊭↱⪎⋱⫍2456∼⪎⋱⫍A5C=NaN","reverse_text":"NaN=(↽≂⪎⋱⫍A07)⊭↱⪎⋱⫍2456∼⪎⋱⫍A5C","cot":[{"info":"↽≂⪎⋱⫍A07=⪎⋱⫍-1711","layer":1},{"info":"⪎⋱⫍2456∼⪎⋱⫍A5C=NaN","layer":1},{"info":"⪎⋱⫍-1711⊭↱NaN=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"($5146$⩤)⊭∹↮","expression":"(⪎⋱⫍245B⩤)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5146,"base":13}}},"used_operators":["xNBdhnnwKq","Z2TMIBDE3Q"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-245B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5146","layer":2},{"info":"compute unary expreesion, input=5146, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5146","layer":1},{"info":"compute unary expreesion, input=-5146, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-5146","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍245B⩤)⊭∹↮=⪎⋱⫍-245B","reverse_text":"⪎⋱⫍-245B=(⪎⋱⫍245B⩤)⊭∹↮","cot":[{"info":"⪎⋱⫍245B⩤=⪎⋱⫍-245B","layer":1},{"info":"⪎⋱⫍-245B⊭∹↮=⪎⋱⫍-245B","layer":0}]}
{"id":395,"expression_no_base_symbol":"⨑⩽⪐(⫓⪴$3621$)","expression":"⨑⩽⪐(⫓⪴⪎⋱⫍1857)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3625,"operation_count":2,"complexity_ratio":1812.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3621,"base":13}}},"used_operators":["AF7qkfDlqP","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A"],"result":"⪎⋱⫍-2940B0A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3621","layer":2},{"info":"compute unary expreesion, input=3621, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13111641","layer":1},{"info":"compute unary expreesion, input=13111641, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-13111368","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⫓⪴⪎⋱⫍1857)=⪎⋱⫍-2940B0A","reverse_text":"⪎⋱⫍-2940B0A=⨑⩽⪐(⫓⪴⪎⋱⫍1857)","cot":[{"info":"⫓⪴⪎⋱⫍1857=⪎⋱⫍2940C8A","layer":1},{"info":"⨑⩽⪐⪎⋱⫍2940C8A=⪎⋱⫍-2940B0A","layer":0}]}
{"id":396,"expression_no_base_symbol":"($8801$⇼⇔∾$1097$)∑⇟⊟($3546$⩤)","expression":"(⪎⋱⫍4010⇼⇔∾⪎⋱⫍665)∑⇟⊟(⪎⋱⫍17CA⩤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8801,"base":13},"right_expr":{"type":"numeric_atoms","value":1097,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3546,"base":13}}},"used_operators":["U7g4x0WXJJ","tifHPKVTfV","Z2TMIBDE3Q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8801","layer":2},{"info":"number node, value=1097","layer":2},{"info":"compute binary expreesion, left_input=8801, right_input=1097, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7704","layer":1},{"info":"number node, value=3546","layer":2},{"info":"compute unary expreesion, input=3546, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3546","layer":1},{"info":"compute binary expreesion, left_input=-7704, right_input=-3546, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍4010⇼⇔∾⪎⋱⫍665)∑⇟⊟(⪎⋱⫍17CA⩤)=NaN","reverse_text":"NaN=(⪎⋱⫍4010⇼⇔∾⪎⋱⫍665)∑⇟⊟(⪎⋱⫍17CA⩤)","cot":[{"info":"⪎⋱⫍4010⇼⇔∾⪎⋱⫍665=⪎⋱⫍-3678","layer":1},{"info":"⪎⋱⫍17CA⩤=⪎⋱⫍-17CA","layer":1},{"info":"⪎⋱⫍-3678∑⇟⊟⪎⋱⫍-17CA=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"($2813$⨽$8763$)≎⊠⪸($3823$⪄$1070$)","expression":"(⪎⋱⫍1385⨽⪎⋱⫍3CB1)≎⊠⪸(⪎⋱⫍1981⪄⪎⋱⫍644)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2928,"operation_count":3,"complexity_ratio":976.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2813,"base":13},"right_expr":{"type":"numeric_atoms","value":8763,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3823,"base":13},"right_expr":{"type":"numeric_atoms","value":1070,"base":13}}},"used_operators":["bJkvcejdHO","8HhzD0ZcuI","SUmda5xLS4"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2813","layer":2},{"info":"number node, value=8763","layer":2},{"info":"compute binary expreesion, left_input=2813, right_input=8763, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23763882","layer":1},{"info":"number node, value=3823","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=3823, right_input=1070, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-566173","layer":1},{"info":"compute binary expreesion, left_input=-23763882, right_input=-566173, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1385⨽⪎⋱⫍3CB1)≎⊠⪸(⪎⋱⫍1981⪄⪎⋱⫍644)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍1385⨽⪎⋱⫍3CB1)≎⊠⪸(⪎⋱⫍1981⪄⪎⋱⫍644)","cot":[{"info":"⪎⋱⫍1385⨽⪎⋱⫍3CB1=⪎⋱⫍-4C0068C","layer":1},{"info":"⪎⋱⫍1981⪄⪎⋱⫍644=⪎⋱⫍-16A91A","layer":1},{"info":"⪎⋱⫍-4C0068C≎⊠⪸⪎⋱⫍-16A91A=⪎⋱⫍52","layer":0}]}
{"id":398,"expression_no_base_symbol":"($5195$⨽$2745$)⨎$3242$≎⊠⪸$1780$","expression":"(⪎⋱⫍2498⨽⪎⋱⫍1332)⨎⪎⋱⫍1625≎⊠⪸⪎⋱⫍A6C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5475,"operation_count":3,"complexity_ratio":1825.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5195,"base":13},"right_expr":{"type":"numeric_atoms","value":2745,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3242,"base":13},"right_expr":{"type":"numeric_atoms","value":1780,"base":13}}},"used_operators":["rJVOvQCfKK","8HhzD0ZcuI","bJkvcejdHO"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍234C93","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5195","layer":2},{"info":"number node, value=2745","layer":2},{"info":"compute binary expreesion, left_input=5195, right_input=2745, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-80970996","layer":1},{"info":"number node, value=3242","layer":2},{"info":"number node, value=1780","layer":2},{"info":"compute binary expreesion, left_input=3242, right_input=1780, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=839205","layer":1},{"info":"compute binary expreesion, left_input=-80970996, right_input=839205, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=839205","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2498⨽⪎⋱⫍1332)⨎⪎⋱⫍1625≎⊠⪸⪎⋱⫍A6C=⪎⋱⫍234C93","reverse_text":"⪎⋱⫍234C93=(⪎⋱⫍2498⨽⪎⋱⫍1332)⨎⪎⋱⫍1625≎⊠⪸⪎⋱⫍A6C","cot":[{"info":"⪎⋱⫍2498⨽⪎⋱⫍1332=⪎⋱⫍-13A10342","layer":1},{"info":"⪎⋱⫍1625≎⊠⪸⪎⋱⫍A6C=⪎⋱⫍234C93","layer":1},{"info":"⪎⋱⫍-13A10342⨎⪎⋱⫍234C93=⪎⋱⫍234C93","layer":0}]}
{"id":399,"expression_no_base_symbol":"($2156$⪨≂$1292$)⨽($7174$⩨$5792$)","expression":"(⪎⋱⫍C9B⪨≂⪎⋱⫍785)⨽(⪎⋱⫍335B⩨⪎⋱⫍2837)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1848,"operation_count":3,"complexity_ratio":616.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2156,"base":13},"right_expr":{"type":"numeric_atoms","value":1292,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7174,"base":13},"right_expr":{"type":"numeric_atoms","value":5792,"base":13}}},"used_operators":["8HhzD0ZcuI","sdazOOVcIp","2DlMacCsIx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-2109420","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":2},{"info":"number node, value=1292","layer":2},{"info":"compute binary expreesion, left_input=2156, right_input=1292, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1830","layer":1},{"info":"number node, value=7174","layer":2},{"info":"number node, value=5792","layer":2},{"info":"compute binary expreesion, left_input=7174, right_input=5792, 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=1830, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10045386","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C9B⪨≂⪎⋱⫍785)⨽(⪎⋱⫍335B⩨⪎⋱⫍2837)=⪎⋱⫍-2109420","reverse_text":"⪎⋱⫍-2109420=(⪎⋱⫍C9B⪨≂⪎⋱⫍785)⨽(⪎⋱⫍335B⩨⪎⋱⫍2837)","cot":[{"info":"⪎⋱⫍C9B⪨≂⪎⋱⫍785=⪎⋱⫍AAA","layer":1},{"info":"⪎⋱⫍335B⩨⪎⋱⫍2837=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍AAA⨽⪎⋱⫍0=⪎⋱⫍-2109420","layer":0}]}
{"id":400,"expression_no_base_symbol":"$4057$↬$2989$⫥∨⫟$7335$≹⇙⪍$4808$","expression":"⪎⋱⫍1B01↬⪎⋱⫍148C⫥∨⫟⪎⋱⫍3453≹⇙⪍⪎⋱⫍225B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4057,"base":13},"right_expr":{"type":"numeric_atoms","value":2989,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7335,"base":13},"right_expr":{"type":"numeric_atoms","value":4808,"base":13}}},"used_operators":["KYD54nUTWz","B5M0gjZbta","AHs5Up7iyr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4057","layer":2},{"info":"number node, value=2989","layer":2},{"info":"compute binary expreesion, left_input=4057, right_input=2989, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7335","layer":2},{"info":"number node, value=4808","layer":2},{"info":"compute binary expreesion, left_input=7335, right_input=4808, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"⪎⋱⫍1B01↬⪎⋱⫍148C⫥∨⫟⪎⋱⫍3453≹⇙⪍⪎⋱⫍225B=NaN","reverse_text":"NaN=⪎⋱⫍1B01↬⪎⋱⫍148C⫥∨⫟⪎⋱⫍3453≹⇙⪍⪎⋱⫍225B","cot":[{"info":"⪎⋱⫍1B01↬⪎⋱⫍148C=NaN","layer":1},{"info":"⪎⋱⫍3453≹⇙⪍⪎⋱⫍225B=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"($4917$⪠⩆⊳)≋⫹","expression":"(⪎⋱⫍2313⪠⩆⊳)≋⫹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4917,"base":13}}},"used_operators":["N41Kp7NANJ","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4917","layer":2},{"info":"compute unary expreesion, input=4917, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2313⪠⩆⊳)≋⫹=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍2313⪠⩆⊳)≋⫹","cot":[{"info":"⪎⋱⫍2313⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0≋⫹=⪎⋱⫍0","layer":0}]}
{"id":402,"expression_no_base_symbol":"⩦⩻⨪($3611$⊭↱$5411$)","expression":"⩦⩻⨪(⪎⋱⫍184A⊭↱⪎⋱⫍2603)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3611,"base":13},"right_expr":{"type":"numeric_atoms","value":5411,"base":13}}},"used_operators":["2td37pGCOC","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1844","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3611","layer":2},{"info":"number node, value=5411","layer":2},{"info":"compute binary expreesion, left_input=3611, right_input=5411, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3605","layer":1},{"info":"compute unary expreesion, input=3605, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3605","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍184A⊭↱⪎⋱⫍2603)=⪎⋱⫍1844","reverse_text":"⪎⋱⫍1844=⩦⩻⨪(⪎⋱⫍184A⊭↱⪎⋱⫍2603)","cot":[{"info":"⪎⋱⫍184A⊭↱⪎⋱⫍2603=⪎⋱⫍1844","layer":1},{"info":"⩦⩻⨪⪎⋱⫍1844=⪎⋱⫍1844","layer":0}]}
{"id":403,"expression_no_base_symbol":"($1481$⨎$2623$)≫≃","expression":"(⪎⋱⫍89C⨎⪎⋱⫍126A)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1481,"base":13},"right_expr":{"type":"numeric_atoms","value":2623,"base":13}}},"used_operators":["X99M06cbEe","rJVOvQCfKK"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍3044","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1481","layer":2},{"info":"number node, value=2623","layer":2},{"info":"compute binary expreesion, left_input=1481, right_input=2623, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2623","layer":1},{"info":"compute unary expreesion, input=2623, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6647","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍89C⨎⪎⋱⫍126A)≫≃=⪎⋱⫍3044","reverse_text":"⪎⋱⫍3044=(⪎⋱⫍89C⨎⪎⋱⫍126A)≫≃","cot":[{"info":"⪎⋱⫍89C⨎⪎⋱⫍126A=⪎⋱⫍126A","layer":1},{"info":"⪎⋱⫍126A≫≃=⪎⋱⫍3044","layer":0}]}
{"id":404,"expression_no_base_symbol":"⊥($1089$⨪↰⇹$1166$)","expression":"⊥(⪎⋱⫍65A⨪↰⇹⪎⋱⫍6B9)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1090,"operation_count":2,"complexity_ratio":545.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":1166,"base":13}}},"used_operators":["Q3PJZHRvZv","tmPS8pqC7x"],"dependent_operators":["fu6greOZ01","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1089","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=1166, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1089","layer":1},{"info":"compute unary expreesion, input=1089, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥(⪎⋱⫍65A⨪↰⇹⪎⋱⫍6B9)=NaN","reverse_text":"NaN=⊥(⪎⋱⫍65A⨪↰⇹⪎⋱⫍6B9)","cot":[{"info":"⪎⋱⫍65A⨪↰⇹⪎⋱⫍6B9=⪎⋱⫍65A","layer":1},{"info":"⊥⪎⋱⫍65A=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"($2372$⪨≂$1868$)⨳⩥⨓$1946$⫥∨⫟$3508$","expression":"(⪎⋱⫍1106⪨≂⪎⋱⫍B09)⨳⩥⨓⪎⋱⫍B69⫥∨⫟⪎⋱⫍179B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2372,"base":13},"right_expr":{"type":"numeric_atoms","value":1868,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1946,"base":13},"right_expr":{"type":"numeric_atoms","value":3508,"base":13}}},"used_operators":["nCS4ZIUYfx","sdazOOVcIp","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2372","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=2372, right_input=1868, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1110","layer":1},{"info":"number node, value=1946","layer":2},{"info":"number node, value=3508","layer":2},{"info":"compute binary expreesion, left_input=1946, right_input=3508, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1110, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1106⪨≂⪎⋱⫍B09)⨳⩥⨓⪎⋱⫍B69⫥∨⫟⪎⋱⫍179B=NaN","reverse_text":"NaN=(⪎⋱⫍1106⪨≂⪎⋱⫍B09)⨳⩥⨓⪎⋱⫍B69⫥∨⫟⪎⋱⫍179B","cot":[{"info":"⪎⋱⫍1106⪨≂⪎⋱⫍B09=⪎⋱⫍675","layer":1},{"info":"⪎⋱⫍B69⫥∨⫟⪎⋱⫍179B=NaN","layer":1},{"info":"⪎⋱⫍675⨳⩥⨓NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"($5358$⊉≛↸$3247$)⨓($6293$∑⇟⊟$2659$)","expression":"(⪎⋱⫍2592⊉≛↸⪎⋱⫍162A)⨓(⪎⋱⫍2B31∑⇟⊟⪎⋱⫍1297)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5358,"base":13},"right_expr":{"type":"numeric_atoms","value":3247,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6293,"base":13},"right_expr":{"type":"numeric_atoms","value":2659,"base":13}}},"used_operators":["3ViojmjbAp","DZ8iAZOCBD","U7g4x0WXJJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5358","layer":2},{"info":"number node, value=3247","layer":2},{"info":"compute binary expreesion, left_input=5358, right_input=3247, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10716","layer":1},{"info":"number node, value=6293","layer":2},{"info":"number node, value=2659","layer":2},{"info":"compute binary expreesion, left_input=6293, right_input=2659, 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=10716, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2592⊉≛↸⪎⋱⫍162A)⨓(⪎⋱⫍2B31∑⇟⊟⪎⋱⫍1297)=NaN","reverse_text":"NaN=(⪎⋱⫍2592⊉≛↸⪎⋱⫍162A)⨓(⪎⋱⫍2B31∑⇟⊟⪎⋱⫍1297)","cot":[{"info":"⪎⋱⫍2592⊉≛↸⪎⋱⫍162A=⪎⋱⫍4B54","layer":1},{"info":"⪎⋱⫍2B31∑⇟⊟⪎⋱⫍1297=NaN","layer":1},{"info":"⪎⋱⫍4B54⨓NaN=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"(⨈⫕$5165$)⋓(⨈⫕$1093$)","expression":"(⨈⫕⪎⋱⫍2474)⋓(⨈⫕⪎⋱⫍661)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":785,"operation_count":3,"complexity_ratio":261.6666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5165,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1093,"base":13}}},"used_operators":["T2fj7uvVaJ","megm06wKyl"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5165","layer":2},{"info":"compute unary expreesion, input=5165, 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=1093","layer":2},{"info":"compute unary expreesion, input=1093, 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 = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍2474)⋓(⨈⫕⪎⋱⫍661)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⨈⫕⪎⋱⫍2474)⋓(⨈⫕⪎⋱⫍661)","cot":[{"info":"⨈⫕⪎⋱⫍2474=⪎⋱⫍-18","layer":1},{"info":"⨈⫕⪎⋱⫍661=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍-18⋓⪎⋱⫍-18=⪎⋱⫍0","layer":0}]}
{"id":408,"expression_no_base_symbol":"↔($4228$⪮%⊝$2613$)","expression":"↔(⪎⋱⫍1C03⪮%⊝⪎⋱⫍1260)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4228,"base":13},"right_expr":{"type":"numeric_atoms","value":2613,"base":13}}},"used_operators":["ruOEQAzv1W","IWmyXbctLI"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍-3B3A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4228","layer":2},{"info":"number node, value=2613","layer":2},{"info":"compute binary expreesion, left_input=4228, right_input=2613, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8772","layer":1},{"info":"compute unary expreesion, input=8772, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8499","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍1C03⪮%⊝⪎⋱⫍1260)=⪎⋱⫍-3B3A","reverse_text":"⪎⋱⫍-3B3A=↔(⪎⋱⫍1C03⪮%⊝⪎⋱⫍1260)","cot":[{"info":"⪎⋱⫍1C03⪮%⊝⪎⋱⫍1260=⪎⋱⫍3CBA","layer":1},{"info":"↔⪎⋱⫍3CBA=⪎⋱⫍-3B3A","layer":0}]}
{"id":409,"expression_no_base_symbol":"($2755$⊭∹↮)⨽$1334$⪘⫢$4890$","expression":"(⪎⋱⫍133C⊭∹↮)⨽⪎⋱⫍7B8⪘⫢⪎⋱⫍22C2","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5540,"operation_count":3,"complexity_ratio":1846.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2755,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1334,"base":13},"right_expr":{"type":"numeric_atoms","value":4890,"base":13}}},"used_operators":["8HhzD0ZcuI","xNBdhnnwKq","oacrs7FA3X"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍-15B4270C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2755","layer":2},{"info":"compute unary expreesion, input=2755, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5510","layer":1},{"info":"number node, value=1334","layer":2},{"info":"number node, value=4890","layer":2},{"info":"compute binary expreesion, left_input=1334, right_input=4890, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2544","layer":1},{"info":"compute binary expreesion, left_input=5510, right_input=2544, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-91086618","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍133C⊭∹↮)⨽⪎⋱⫍7B8⪘⫢⪎⋱⫍22C2=⪎⋱⫍-15B4270C","reverse_text":"⪎⋱⫍-15B4270C=(⪎⋱⫍133C⊭∹↮)⨽⪎⋱⫍7B8⪘⫢⪎⋱⫍22C2","cot":[{"info":"⪎⋱⫍133C⊭∹↮=⪎⋱⫍267B","layer":1},{"info":"⪎⋱⫍7B8⪘⫢⪎⋱⫍22C2=⪎⋱⫍1209","layer":1},{"info":"⪎⋱⫍267B⨽⪎⋱⫍1209=⪎⋱⫍-15B4270C","layer":0}]}
{"id":410,"expression_no_base_symbol":"⇁⨣⪵$2626$⇷$5055$","expression":"⇁⨣⪵⪎⋱⫍1270⇷⪎⋱⫍23BB","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36771,"operation_count":2,"complexity_ratio":18385.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2626,"base":13},"right_expr":{"type":"numeric_atoms","value":5055,"base":13}}},"used_operators":["inkyxCbjAn","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2626","layer":2},{"info":"number node, value=5055","layer":2},{"info":"compute binary expreesion, left_input=2626, right_input=5055, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10110","layer":1},{"info":"compute unary expreesion, input=10110, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵⪎⋱⫍1270⇷⪎⋱⫍23BB=NaN","reverse_text":"NaN=⇁⨣⪵⪎⋱⫍1270⇷⪎⋱⫍23BB","cot":[{"info":"⪎⋱⫍1270⇷⪎⋱⫍23BB=⪎⋱⫍47A9","layer":1},{"info":"⇁⨣⪵⪎⋱⫍47A9=NaN","layer":0}]}
{"id":411,"expression_no_base_symbol":"∂(⋗⩬⋾$1201$)","expression":"∂(⋗⩬⋾⪎⋱⫍715)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":420,"operation_count":2,"complexity_ratio":210.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1201,"base":13}}},"used_operators":["Uaa54Peajs","DpFCA1CohY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍169B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1201","layer":2},{"info":"compute unary expreesion, input=1201, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3603","layer":1},{"info":"compute unary expreesion, input=-3603, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=3339","layer":0}],"base":13,"result_base":13,"text":"∂(⋗⩬⋾⪎⋱⫍715)=⪎⋱⫍169B","reverse_text":"⪎⋱⫍169B=∂(⋗⩬⋾⪎⋱⫍715)","cot":[{"info":"⋗⩬⋾⪎⋱⫍715=⪎⋱⫍-1842","layer":1},{"info":"∂⪎⋱⫍-1842=⪎⋱⫍169B","layer":0}]}
{"id":412,"expression_no_base_symbol":"+⊝⨔($1333$⇷$1876$)","expression":"+⊝⨔(⪎⋱⫍7B7⇷⪎⋱⫍B14)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18708,"operation_count":2,"complexity_ratio":9354.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1333,"base":13},"right_expr":{"type":"numeric_atoms","value":1876,"base":13}}},"used_operators":["DhbWaqg5eL","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":2},{"info":"number node, value=1876","layer":2},{"info":"compute binary expreesion, left_input=1333, right_input=1876, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3752","layer":1},{"info":"compute unary expreesion, input=3752, 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍7B7⇷⪎⋱⫍B14)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍7B7⇷⪎⋱⫍B14)","cot":[{"info":"⪎⋱⫍7B7⇷⪎⋱⫍B14=⪎⋱⫍1928","layer":1},{"info":"+⊝⨔⪎⋱⫍1928=⪎⋱⫍901","layer":0}]}
{"id":413,"expression_no_base_symbol":"($3559$⩨$9507$)⨟⋌⩍($1136$⨸⪁$5488$)","expression":"(⪎⋱⫍180A⩨⪎⋱⫍4434)⨟⋌⩍(⪎⋱⫍695⨸⪁⪎⋱⫍2662)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3559,"base":13},"right_expr":{"type":"numeric_atoms","value":9507,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1136,"base":13},"right_expr":{"type":"numeric_atoms","value":5488,"base":13}}},"used_operators":["rGHVDoGpnC","2DlMacCsIx","g55IO6H4Gj"],"dependent_operators":["Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3559","layer":2},{"info":"number node, value=9507","layer":2},{"info":"compute binary expreesion, left_input=3559, right_input=9507, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"number node, value=1136","layer":2},{"info":"number node, value=5488","layer":2},{"info":"compute binary expreesion, left_input=1136, right_input=5488, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13248","layer":1},{"info":"compute binary expreesion, left_input=-6, right_input=13248, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍180A⩨⪎⋱⫍4434)⨟⋌⩍(⪎⋱⫍695⨸⪁⪎⋱⫍2662)=NaN","reverse_text":"NaN=(⪎⋱⫍180A⩨⪎⋱⫍4434)⨟⋌⩍(⪎⋱⫍695⨸⪁⪎⋱⫍2662)","cot":[{"info":"⪎⋱⫍180A⩨⪎⋱⫍4434=⪎⋱⫍-6","layer":1},{"info":"⪎⋱⫍695⨸⪁⪎⋱⫍2662=⪎⋱⫍6051","layer":1},{"info":"⪎⋱⫍-6⨟⋌⩍⪎⋱⫍6051=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"$1564$⋥≓≎$2418$⫸⊐($2456$⋷$2885$)","expression":"⪎⋱⫍934⋥≓≎⪎⋱⫍1140⫸⊐(⪎⋱⫍116C⋷⪎⋱⫍140C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1564,"base":13},"right_expr":{"type":"numeric_atoms","value":2418,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2456,"base":13},"right_expr":{"type":"numeric_atoms","value":2885,"base":13}}},"used_operators":["mqXw5SEYmG","Qy55tPpLXF","23Mk6UjR3U"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍5C91","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1564","layer":2},{"info":"number node, value=2418","layer":2},{"info":"compute binary expreesion, left_input=1564, right_input=2418, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3305","layer":1},{"info":"number node, value=2456","layer":2},{"info":"number node, value=2885","layer":2},{"info":"compute binary expreesion, left_input=2456, right_input=2885, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3314","layer":1},{"info":"compute binary expreesion, left_input=3305, right_input=3314, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13131","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍934⋥≓≎⪎⋱⫍1140⫸⊐(⪎⋱⫍116C⋷⪎⋱⫍140C)=⪎⋱⫍5C91","reverse_text":"⪎⋱⫍5C91=⪎⋱⫍934⋥≓≎⪎⋱⫍1140⫸⊐(⪎⋱⫍116C⋷⪎⋱⫍140C)","cot":[{"info":"⪎⋱⫍934⋥≓≎⪎⋱⫍1140=⪎⋱⫍1673","layer":1},{"info":"⪎⋱⫍116C⋷⪎⋱⫍140C=⪎⋱⫍167C","layer":1},{"info":"⪎⋱⫍1673⫸⊐⪎⋱⫍167C=⪎⋱⫍5C91","layer":0}]}
{"id":415,"expression_no_base_symbol":"⫛⫱⨽($1469$%$1734$)","expression":"⫛⫱⨽(⪎⋱⫍890%⪎⋱⫍A35)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1423,"operation_count":2,"complexity_ratio":711.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1469,"base":13},"right_expr":{"type":"numeric_atoms","value":1734,"base":13}}},"used_operators":["DlLNRPXxWL","k8jYdgA6NY"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1469","layer":2},{"info":"number node, value=1734","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=1734, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1469","layer":1},{"info":"compute unary expreesion, input=1469, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍890%⪎⋱⫍A35)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(⪎⋱⫍890%⪎⋱⫍A35)","cot":[{"info":"⪎⋱⫍890%⪎⋱⫍A35=⪎⋱⫍890","layer":1},{"info":"⫛⫱⨽⪎⋱⫍890=⪎⋱⫍0","layer":0}]}
{"id":416,"expression_no_base_symbol":"(⪲⇎$4909$)⩚⊴⇥($1132$*$4982$)","expression":"(⪲⇎⪎⋱⫍2308)⩚⊴⇥(⪎⋱⫍691*⪎⋱⫍2363)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1137,"operation_count":3,"complexity_ratio":379.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4909,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":4982,"base":13}}},"used_operators":["NTOWxs364D","XPYlsWDdGa","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-122A64A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4909","layer":2},{"info":"compute unary expreesion, input=4909, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9818","layer":1},{"info":"number node, value=1132","layer":2},{"info":"number node, value=4982","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=4982, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5639624","layer":1},{"info":"compute binary expreesion, left_input=9818, right_input=5639624, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5649563","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍2308)⩚⊴⇥(⪎⋱⫍691*⪎⋱⫍2363)=⪎⋱⫍-122A64A","reverse_text":"⪎⋱⫍-122A64A=(⪲⇎⪎⋱⫍2308)⩚⊴⇥(⪎⋱⫍691*⪎⋱⫍2363)","cot":[{"info":"⪲⇎⪎⋱⫍2308=⪎⋱⫍4613","layer":1},{"info":"⪎⋱⫍691*⪎⋱⫍2363=⪎⋱⫍1225C73","layer":1},{"info":"⪎⋱⫍4613⩚⊴⇥⪎⋱⫍1225C73=⪎⋱⫍-122A64A","layer":0}]}
{"id":417,"expression_no_base_symbol":"($1451$⩨$3262$)≫≃","expression":"(⪎⋱⫍878⩨⪎⋱⫍163C)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1451,"base":13},"right_expr":{"type":"numeric_atoms","value":3262,"base":13}}},"used_operators":["X99M06cbEe","2DlMacCsIx"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍82B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":2},{"info":"number node, value=3262","layer":2},{"info":"compute binary expreesion, left_input=1451, right_input=3262, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":1},{"info":"compute unary expreesion, input=-6, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1389","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍878⩨⪎⋱⫍163C)≫≃=⪎⋱⫍82B","reverse_text":"⪎⋱⫍82B=(⪎⋱⫍878⩨⪎⋱⫍163C)≫≃","cot":[{"info":"⪎⋱⫍878⩨⪎⋱⫍163C=⪎⋱⫍-6","layer":1},{"info":"⪎⋱⫍-6≫≃=⪎⋱⫍82B","layer":0}]}
{"id":418,"expression_no_base_symbol":"($1586$≣⋋)⇋≉","expression":"(⪎⋱⫍950≣⋋)⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":517,"operation_count":2,"complexity_ratio":258.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1586,"base":13}}},"used_operators":["XIabStNQrY","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍-77","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1586","layer":2},{"info":"compute unary expreesion, input=1586, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍950≣⋋)⇋≉=⪎⋱⫍-77","reverse_text":"⪎⋱⫍-77=(⪎⋱⫍950≣⋋)⇋≉","cot":[{"info":"⪎⋱⫍950≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⇋≉=⪎⋱⫍-77","layer":0}]}
{"id":419,"expression_no_base_symbol":"(↔$2173$)≭(⨰⫟⨤$4754$)","expression":"(↔⪎⋱⫍CB2)≭(⨰⫟⨤⪎⋱⫍2219)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18184,"operation_count":3,"complexity_ratio":6061.333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2173,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4754,"base":13}}},"used_operators":["rxpJgHHUmx","ruOEQAzv1W","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":2},{"info":"compute unary expreesion, input=2173, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1900","layer":1},{"info":"number node, value=4754","layer":2},{"info":"compute unary expreesion, input=4754, 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=-1900, 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":13,"result_base":13,"text":"(↔⪎⋱⫍CB2)≭(⨰⫟⨤⪎⋱⫍2219)=NaN","reverse_text":"NaN=(↔⪎⋱⫍CB2)≭(⨰⫟⨤⪎⋱⫍2219)","cot":[{"info":"↔⪎⋱⫍CB2=⪎⋱⫍-B32","layer":1},{"info":"⨰⫟⨤⪎⋱⫍2219=NaN","layer":1},{"info":"⪎⋱⫍-B32≭NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"↥($4323$∧)","expression":"↥(⪎⋱⫍1C77∧)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4323,"base":13}}},"used_operators":["A8NUZmVepG","z63VuFQld9"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4323","layer":2},{"info":"compute unary expreesion, input=4323, 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 unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥(⪎⋱⫍1C77∧)=NaN","reverse_text":"NaN=↥(⪎⋱⫍1C77∧)","cot":[{"info":"⪎⋱⫍1C77∧=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":421,"expression_no_base_symbol":"($5016$∧)+(≦∁$1271$)","expression":"(⪎⋱⫍238B∧)+(≦∁⪎⋱⫍76A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5016,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1271,"base":13}}},"used_operators":["W4YGzv6Whe","z63VuFQld9","9ICcGScMcE"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5016","layer":2},{"info":"compute unary expreesion, input=5016, 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=1271","layer":2},{"info":"compute unary expreesion, input=1271, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1271","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1271, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍238B∧)+(≦∁⪎⋱⫍76A)=NaN","reverse_text":"NaN=(⪎⋱⫍238B∧)+(≦∁⪎⋱⫍76A)","cot":[{"info":"⪎⋱⫍238B∧=NaN","layer":1},{"info":"≦∁⪎⋱⫍76A=⪎⋱⫍76A","layer":1},{"info":"NaN+⪎⋱⫍76A=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"($2385$⪒$2899$)⨟⋌⩍($2249$⪘⫢$1200$)","expression":"(⪎⋱⫍1116⪒⪎⋱⫍1420)⨟⋌⩍(⪎⋱⫍1040⪘⫢⪎⋱⫍714)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2385,"base":13},"right_expr":{"type":"numeric_atoms","value":2899,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2249,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}}},"used_operators":["rGHVDoGpnC","f6k1SAg4EE","oacrs7FA3X"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":2},{"info":"number node, value=2899","layer":2},{"info":"compute binary expreesion, left_input=2385, right_input=2899, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5284","layer":1},{"info":"number node, value=2249","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=2249, right_input=1200, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4374","layer":1},{"info":"compute binary expreesion, left_input=-5284, right_input=4374, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍1116⪒⪎⋱⫍1420)⨟⋌⩍(⪎⋱⫍1040⪘⫢⪎⋱⫍714)=NaN","reverse_text":"NaN=(⪎⋱⫍1116⪒⪎⋱⫍1420)⨟⋌⩍(⪎⋱⫍1040⪘⫢⪎⋱⫍714)","cot":[{"info":"⪎⋱⫍1116⪒⪎⋱⫍1420=⪎⋱⫍-2536","layer":1},{"info":"⪎⋱⫍1040⪘⫢⪎⋱⫍714=⪎⋱⫍1CB6","layer":1},{"info":"⪎⋱⫍-2536⨟⋌⩍⪎⋱⫍1CB6=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"$4698$⨟⋌⩍$4662$+$1120$⪢$2996$","expression":"⪎⋱⫍21A5⨟⋌⩍⪎⋱⫍2178+⪎⋱⫍682⪢⪎⋱⫍1496","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2998,"operation_count":3,"complexity_ratio":999.3333333333334,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4698,"base":13},"right_expr":{"type":"numeric_atoms","value":4662,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":2996,"base":13}}},"used_operators":["W4YGzv6Whe","rGHVDoGpnC","dWAJyo7jo9"],"dependent_operators":["Tcnh7f0tEr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4698","layer":2},{"info":"number node, value=4662","layer":2},{"info":"compute binary expreesion, left_input=4698, right_input=4662, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1120","layer":2},{"info":"number node, value=2996","layer":2},{"info":"compute binary expreesion, left_input=1120, right_input=2996, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍21A5⨟⋌⩍⪎⋱⫍2178+⪎⋱⫍682⪢⪎⋱⫍1496=NaN","reverse_text":"NaN=⪎⋱⫍21A5⨟⋌⩍⪎⋱⫍2178+⪎⋱⫍682⪢⪎⋱⫍1496","cot":[{"info":"⪎⋱⫍21A5⨟⋌⩍⪎⋱⫍2178=NaN","layer":1},{"info":"⪎⋱⫍682⪢⪎⋱⫍1496=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"($5510$⇼⇔∾$1752$)↬($5091$⩤)","expression":"(⪎⋱⫍267B⇼⇔∾⪎⋱⫍A4A)↬(⪎⋱⫍2418⩤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5510,"base":13},"right_expr":{"type":"numeric_atoms","value":1752,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5091,"base":13}}},"used_operators":["B5M0gjZbta","tifHPKVTfV","Z2TMIBDE3Q"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5510","layer":2},{"info":"number node, value=1752","layer":2},{"info":"compute binary expreesion, left_input=5510, right_input=1752, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3758","layer":1},{"info":"number node, value=5091","layer":2},{"info":"compute unary expreesion, input=5091, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5091","layer":1},{"info":"compute binary expreesion, left_input=-3758, right_input=-5091, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍267B⇼⇔∾⪎⋱⫍A4A)↬(⪎⋱⫍2418⩤)=NaN","reverse_text":"NaN=(⪎⋱⫍267B⇼⇔∾⪎⋱⫍A4A)↬(⪎⋱⫍2418⩤)","cot":[{"info":"⪎⋱⫍267B⇼⇔∾⪎⋱⫍A4A=⪎⋱⫍-1931","layer":1},{"info":"⪎⋱⫍2418⩤=⪎⋱⫍-2418","layer":1},{"info":"⪎⋱⫍-1931↬⪎⋱⫍-2418=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"($2739$⪨≂$7611$)⩤","expression":"(⪎⋱⫍1329⪨≂⪎⋱⫍3606)⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2739,"base":13},"right_expr":{"type":"numeric_atoms","value":7611,"base":13}}},"used_operators":["Z2TMIBDE3Q","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍4509","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":2},{"info":"number node, value=7611","layer":2},{"info":"compute binary expreesion, left_input=2739, right_input=7611, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9642","layer":1},{"info":"compute unary expreesion, input=-9642, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=9642","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1329⪨≂⪎⋱⫍3606)⩤=⪎⋱⫍4509","reverse_text":"⪎⋱⫍4509=(⪎⋱⫍1329⪨≂⪎⋱⫍3606)⩤","cot":[{"info":"⪎⋱⫍1329⪨≂⪎⋱⫍3606=⪎⋱⫍-4509","layer":1},{"info":"⪎⋱⫍-4509⩤=⪎⋱⫍4509","layer":0}]}
{"id":426,"expression_no_base_symbol":"⨰⫟⨤($1923$⊭↱$3959$)","expression":"⨰⫟⨤(⪎⋱⫍B4C⊭↱⪎⋱⫍1A57)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15474,"operation_count":2,"complexity_ratio":7737.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1923,"base":13},"right_expr":{"type":"numeric_atoms","value":3959,"base":13}}},"used_operators":["Tw270M8GLb","COABgblf1C"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1923","layer":2},{"info":"number node, value=3959","layer":2},{"info":"compute binary expreesion, left_input=1923, right_input=3959, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4077","layer":1},{"info":"compute unary expreesion, input=4077, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍B4C⊭↱⪎⋱⫍1A57)=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍B4C⊭↱⪎⋱⫍1A57)","cot":[{"info":"⪎⋱⫍B4C⊭↱⪎⋱⫍1A57=⪎⋱⫍1B18","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1B18=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"$3596$+⇶⊼$5550$≋⫹","expression":"⪎⋱⫍1838+⇶⊼⪎⋱⫍26AC≋⫹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3596,"base":13},"right_expr":{"type":"numeric_atoms","value":5550,"base":13}}},"used_operators":["N41Kp7NANJ","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3596","layer":2},{"info":"number node, value=5550","layer":2},{"info":"compute binary expreesion, left_input=3596, right_input=5550, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1838+⇶⊼⪎⋱⫍26AC≋⫹=NaN","reverse_text":"NaN=⪎⋱⫍1838+⇶⊼⪎⋱⫍26AC≋⫹","cot":[{"info":"⪎⋱⫍1838+⇶⊼⪎⋱⫍26AC=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(≉$1250$)∸","expression":"(≉⪎⋱⫍752)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1250,"base":13}}},"used_operators":["o20kRiQErp","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1250","layer":2},{"info":"compute unary expreesion, input=1250, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1781","layer":1},{"info":"compute unary expreesion, input=1781, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(≉⪎⋱⫍752)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(≉⪎⋱⫍752)∸","cot":[{"info":"≉⪎⋱⫍752=⪎⋱⫍A70","layer":1},{"info":"⪎⋱⫍A70∸=⪎⋱⫍108","layer":0}]}
{"id":429,"expression_no_base_symbol":"(∂$6393$)⪛(∥⊫$2502$)","expression":"(∂⪎⋱⫍2BAA)⪛(∥⊫⪎⋱⫍11A6)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6393,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2502,"base":13}}},"used_operators":["uFcxV4UQCh","Uaa54Peajs","P8v4zCKN1o"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6393","layer":2},{"info":"compute unary expreesion, input=6393, 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=2502","layer":2},{"info":"compute unary expreesion, input=2502, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3370","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3370, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂⪎⋱⫍2BAA)⪛(∥⊫⪎⋱⫍11A6)=NaN","reverse_text":"NaN=(∂⪎⋱⫍2BAA)⪛(∥⊫⪎⋱⫍11A6)","cot":[{"info":"∂⪎⋱⫍2BAA=NaN","layer":1},{"info":"∥⊫⪎⋱⫍11A6=⪎⋱⫍16C3","layer":1},{"info":"NaN⪛⪎⋱⫍16C3=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"(≦∁$7562$)∑⇟⊟($6193$⨸⪁$4391$)","expression":"(≦∁⪎⋱⫍3599)∑⇟⊟(⪎⋱⫍2A85⨸⪁⪎⋱⫍1CCA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7562,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6193,"base":13},"right_expr":{"type":"numeric_atoms","value":4391,"base":13}}},"used_operators":["U7g4x0WXJJ","9ICcGScMcE","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7562","layer":2},{"info":"compute unary expreesion, input=7562, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7562","layer":1},{"info":"number node, value=6193","layer":2},{"info":"number node, value=4391","layer":2},{"info":"compute binary expreesion, left_input=6193, right_input=4391, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21168","layer":1},{"info":"compute binary expreesion, left_input=7562, right_input=21168, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍3599)∑⇟⊟(⪎⋱⫍2A85⨸⪁⪎⋱⫍1CCA)=NaN","reverse_text":"NaN=(≦∁⪎⋱⫍3599)∑⇟⊟(⪎⋱⫍2A85⨸⪁⪎⋱⫍1CCA)","cot":[{"info":"≦∁⪎⋱⫍3599=⪎⋱⫍3599","layer":1},{"info":"⪎⋱⫍2A85⨸⪁⪎⋱⫍1CCA=⪎⋱⫍9834","layer":1},{"info":"⪎⋱⫍3599∑⇟⊟⪎⋱⫍9834=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"⩦⩻⨪$4142$⩷∴$5683$","expression":"⩦⩻⨪⪎⋱⫍1B68⩷∴⪎⋱⫍2782","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4142,"base":13},"right_expr":{"type":"numeric_atoms","value":5683,"base":13}}},"used_operators":["2td37pGCOC","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-1557","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4142","layer":2},{"info":"number node, value=5683","layer":2},{"info":"compute binary expreesion, left_input=4142, right_input=5683, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3114","layer":1},{"info":"compute unary expreesion, input=-3114, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3114","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪⪎⋱⫍1B68⩷∴⪎⋱⫍2782=⪎⋱⫍-1557","reverse_text":"⪎⋱⫍-1557=⩦⩻⨪⪎⋱⫍1B68⩷∴⪎⋱⫍2782","cot":[{"info":"⪎⋱⫍1B68⩷∴⪎⋱⫍2782=⪎⋱⫍-1557","layer":1},{"info":"⩦⩻⨪⪎⋱⫍-1557=⪎⋱⫍-1557","layer":0}]}
{"id":432,"expression_no_base_symbol":"($2211$∸)⩷∴(⊥$5901$)","expression":"(⪎⋱⫍1011∸)⩷∴(⊥⪎⋱⫍28BC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184,"operation_count":3,"complexity_ratio":61.333333333333336,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2211,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5901,"base":13}}},"used_operators":["9FxExcQeMw","o20kRiQErp","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2211","layer":2},{"info":"compute unary expreesion, input=2211, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5901","layer":2},{"info":"compute unary expreesion, input=5901, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1011∸)⩷∴(⊥⪎⋱⫍28BC)=NaN","reverse_text":"NaN=(⪎⋱⫍1011∸)⩷∴(⊥⪎⋱⫍28BC)","cot":[{"info":"⪎⋱⫍1011∸=⪎⋱⫍108","layer":1},{"info":"⊥⪎⋱⫍28BC=NaN","layer":1},{"info":"⪎⋱⫍108⩷∴NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"($1437$⋫)⪄($1029$⪒$5524$)","expression":"(⪎⋱⫍867⋫)⪄(⪎⋱⫍612⪒⪎⋱⫍268C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1534,"operation_count":3,"complexity_ratio":511.3333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1437,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":5524,"base":13}}},"used_operators":["SUmda5xLS4","JL8yIekQnl","f6k1SAg4EE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-65127","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1437","layer":2},{"info":"compute unary expreesion, input=1437, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1437","layer":1},{"info":"number node, value=1029","layer":2},{"info":"number node, value=5524","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=5524, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6553","layer":1},{"info":"compute binary expreesion, left_input=1437, right_input=-6553, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-182553","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍867⋫)⪄(⪎⋱⫍612⪒⪎⋱⫍268C)=⪎⋱⫍-65127","reverse_text":"⪎⋱⫍-65127=(⪎⋱⫍867⋫)⪄(⪎⋱⫍612⪒⪎⋱⫍268C)","cot":[{"info":"⪎⋱⫍867⋫=⪎⋱⫍867","layer":1},{"info":"⪎⋱⫍612⪒⪎⋱⫍268C=⪎⋱⫍-2CA1","layer":1},{"info":"⪎⋱⫍867⪄⪎⋱⫍-2CA1=⪎⋱⫍-65127","layer":0}]}
{"id":434,"expression_no_base_symbol":"$1007$⊭↱$6184$∲⫓$1000$⪒$3872$","expression":"⪎⋱⫍5C6⊭↱⪎⋱⫍2A79∲⫓⪎⋱⫍5BC⪒⪎⋱⫍19BB","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1007,"base":13},"right_expr":{"type":"numeric_atoms","value":6184,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":3872,"base":13}}},"used_operators":["i8ToyICDmI","COABgblf1C","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍493B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"number node, value=6184","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=6184, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10359","layer":1},{"info":"number node, value=1000","layer":2},{"info":"number node, value=3872","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=3872, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4872","layer":1},{"info":"compute binary expreesion, left_input=10359, right_input=-4872, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10359","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍5C6⊭↱⪎⋱⫍2A79∲⫓⪎⋱⫍5BC⪒⪎⋱⫍19BB=⪎⋱⫍493B","reverse_text":"⪎⋱⫍493B=⪎⋱⫍5C6⊭↱⪎⋱⫍2A79∲⫓⪎⋱⫍5BC⪒⪎⋱⫍19BB","cot":[{"info":"⪎⋱⫍5C6⊭↱⪎⋱⫍2A79=⪎⋱⫍493B","layer":1},{"info":"⪎⋱⫍5BC⪒⪎⋱⫍19BB=⪎⋱⫍-22AA","layer":1},{"info":"⪎⋱⫍493B∲⫓⪎⋱⫍-22AA=⪎⋱⫍493B","layer":0}]}
{"id":435,"expression_no_base_symbol":"$4107$∀⇚≩$1261$⨓($2701$∸)","expression":"⪎⋱⫍1B3C∀⇚≩⪎⋱⫍760⨓(⪎⋱⫍12CA∸)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29109,"operation_count":3,"complexity_ratio":9703.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4107,"base":13},"right_expr":{"type":"numeric_atoms","value":1261,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2701,"base":13}}},"used_operators":["3ViojmjbAp","LRNGc0VcxI","o20kRiQErp"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","tmPS8pqC7x"],"result":"⪎⋱⫍-10B","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4107","layer":2},{"info":"number node, value=1261","layer":2},{"info":"compute binary expreesion, left_input=4107, right_input=1261, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2701","layer":2},{"info":"compute unary expreesion, input=2701, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-180","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B3C∀⇚≩⪎⋱⫍760⨓(⪎⋱⫍12CA∸)=⪎⋱⫍-10B","reverse_text":"⪎⋱⫍-10B=⪎⋱⫍1B3C∀⇚≩⪎⋱⫍760⨓(⪎⋱⫍12CA∸)","cot":[{"info":"⪎⋱⫍1B3C∀⇚≩⪎⋱⫍760=NaN","layer":1},{"info":"⪎⋱⫍12CA∸=⪎⋱⫍108","layer":1},{"info":"NaN⨓⪎⋱⫍108=⪎⋱⫍-10B","layer":0}]}
{"id":436,"expression_no_base_symbol":"$5498$≭$2531$⪨≂($1642$⩤)","expression":"⪎⋱⫍266C≭⪎⋱⫍11C9⪨≂(⪎⋱⫍994⩤)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5498,"base":13},"right_expr":{"type":"numeric_atoms","value":2531,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1642,"base":13}}},"used_operators":["sdazOOVcIp","rxpJgHHUmx","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5498","layer":2},{"info":"number node, value=2531","layer":2},{"info":"compute binary expreesion, left_input=5498, right_input=2531, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1642","layer":2},{"info":"compute unary expreesion, input=1642, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1642, op_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":13,"result_base":13,"text":"⪎⋱⫍266C≭⪎⋱⫍11C9⪨≂(⪎⋱⫍994⩤)=NaN","reverse_text":"NaN=⪎⋱⫍266C≭⪎⋱⫍11C9⪨≂(⪎⋱⫍994⩤)","cot":[{"info":"⪎⋱⫍266C≭⪎⋱⫍11C9=NaN","layer":1},{"info":"⪎⋱⫍994⩤=⪎⋱⫍-994","layer":1},{"info":"NaN⪨≂⪎⋱⫍-994=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"↩$7893$⊴$2860$","expression":"↩⪎⋱⫍3792⊴⪎⋱⫍13C0","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6136,"operation_count":2,"complexity_ratio":3068.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7893,"base":13},"right_expr":{"type":"numeric_atoms","value":2860,"base":13}}},"used_operators":["jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7893","layer":2},{"info":"number node, value=2860","layer":2},{"info":"compute binary expreesion, left_input=7893, right_input=2860, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":13,"result_base":13,"text":"↩⪎⋱⫍3792⊴⪎⋱⫍13C0=NaN","reverse_text":"NaN=↩⪎⋱⫍3792⊴⪎⋱⫍13C0","cot":[{"info":"⪎⋱⫍3792⊴⪎⋱⫍13C0=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"$1030$⫥∨⫟$7538$⫸⊐$1902$⩚⊴⇥$2849$","expression":"⪎⋱⫍613⫥∨⫟⪎⋱⫍357B⫸⊐⪎⋱⫍B34⩚⊴⇥⪎⋱⫍13B2","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1030,"base":13},"right_expr":{"type":"numeric_atoms","value":7538,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1902,"base":13},"right_expr":{"type":"numeric_atoms","value":2849,"base":13}}},"used_operators":["mqXw5SEYmG","KYD54nUTWz","NTOWxs364D"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=7538","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=7538, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1902","layer":2},{"info":"number node, value=2849","layer":2},{"info":"compute binary expreesion, left_input=1902, right_input=2849, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4872","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4872, 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":13,"result_base":13,"text":"⪎⋱⫍613⫥∨⫟⪎⋱⫍357B⫸⊐⪎⋱⫍B34⩚⊴⇥⪎⋱⫍13B2=NaN","reverse_text":"NaN=⪎⋱⫍613⫥∨⫟⪎⋱⫍357B⫸⊐⪎⋱⫍B34⩚⊴⇥⪎⋱⫍13B2","cot":[{"info":"⪎⋱⫍613⫥∨⫟⪎⋱⫍357B=NaN","layer":1},{"info":"⪎⋱⫍B34⩚⊴⇥⪎⋱⫍13B2=⪎⋱⫍-22AA","layer":1},{"info":"NaN⫸⊐⪎⋱⫍-22AA=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"$3383$⫥∨⫟$1440$⊭↱($2760$⪒$1008$)","expression":"⪎⋱⫍1703⫥∨⫟⪎⋱⫍86A⊭↱(⪎⋱⫍1344⪒⪎⋱⫍5C7)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3383,"base":13},"right_expr":{"type":"numeric_atoms","value":1440,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2760,"base":13},"right_expr":{"type":"numeric_atoms","value":1008,"base":13}}},"used_operators":["COABgblf1C","KYD54nUTWz","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3383","layer":2},{"info":"number node, value=1440","layer":2},{"info":"compute binary expreesion, left_input=3383, right_input=1440, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2760","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=2760, right_input=1008, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3768","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3768, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1703⫥∨⫟⪎⋱⫍86A⊭↱(⪎⋱⫍1344⪒⪎⋱⫍5C7)=NaN","reverse_text":"NaN=⪎⋱⫍1703⫥∨⫟⪎⋱⫍86A⊭↱(⪎⋱⫍1344⪒⪎⋱⫍5C7)","cot":[{"info":"⪎⋱⫍1703⫥∨⫟⪎⋱⫍86A=NaN","layer":1},{"info":"⪎⋱⫍1344⪒⪎⋱⫍5C7=⪎⋱⫍-193B","layer":1},{"info":"NaN⊭↱⪎⋱⫍-193B=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"($1342$⪨≂$1239$)+⇶⊼(⊄⩳↩$1018$)","expression":"(⪎⋱⫍7C3⪨≂⪎⋱⫍744)+⇶⊼(⊄⩳↩⪎⋱⫍604)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1342,"base":13},"right_expr":{"type":"numeric_atoms","value":1239,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1018,"base":13}}},"used_operators":["TpPTUOHfaN","sdazOOVcIp","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=1342, right_input=1239, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=308","layer":1},{"info":"number node, value=1018","layer":2},{"info":"compute unary expreesion, input=1018, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3054","layer":1},{"info":"compute binary expreesion, left_input=308, right_input=-3054, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍7C3⪨≂⪎⋱⫍744)+⇶⊼(⊄⩳↩⪎⋱⫍604)=NaN","reverse_text":"NaN=(⪎⋱⫍7C3⪨≂⪎⋱⫍744)+⇶⊼(⊄⩳↩⪎⋱⫍604)","cot":[{"info":"⪎⋱⫍7C3⪨≂⪎⋱⫍744=⪎⋱⫍1A9","layer":1},{"info":"⊄⩳↩⪎⋱⫍604=⪎⋱⫍-150C","layer":1},{"info":"⪎⋱⫍1A9+⇶⊼⪎⋱⫍-150C=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"⨵≀≌(⪲⇎$1749$)","expression":"⨵≀≌(⪲⇎⪎⋱⫍A47)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1749,"base":13}}},"used_operators":["srAu1WTS94","XPYlsWDdGa"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-4A13","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":2},{"info":"compute unary expreesion, input=1749, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3498","layer":1},{"info":"compute unary expreesion, input=3498, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10494","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪲⇎⪎⋱⫍A47)=⪎⋱⫍-4A13","reverse_text":"⪎⋱⫍-4A13=⨵≀≌(⪲⇎⪎⋱⫍A47)","cot":[{"info":"⪲⇎⪎⋱⫍A47=⪎⋱⫍1791","layer":1},{"info":"⨵≀≌⪎⋱⫍1791=⪎⋱⫍-4A13","layer":0}]}
{"id":442,"expression_no_base_symbol":"($1528$≭$1842$)⩷∴($1809$≋⫹)","expression":"(⪎⋱⫍907≭⪎⋱⫍AB9)⩷∴(⪎⋱⫍A92≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1528,"base":13},"right_expr":{"type":"numeric_atoms","value":1842,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1809,"base":13}}},"used_operators":["9FxExcQeMw","rxpJgHHUmx","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1528","layer":2},{"info":"number node, value=1842","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=1842, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1809","layer":2},{"info":"compute unary expreesion, input=1809, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3618","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3618, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍907≭⪎⋱⫍AB9)⩷∴(⪎⋱⫍A92≋⫹)=NaN","reverse_text":"NaN=(⪎⋱⫍907≭⪎⋱⫍AB9)⩷∴(⪎⋱⫍A92≋⫹)","cot":[{"info":"⪎⋱⫍907≭⪎⋱⫍AB9=NaN","layer":1},{"info":"⪎⋱⫍A92≋⫹=⪎⋱⫍-1854","layer":1},{"info":"NaN⩷∴⪎⋱⫍-1854=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"$1516$⨟⋌⩍$6988$⫥∨⫟($3486$⊦⊿)","expression":"⪎⋱⫍8C8⨟⋌⩍⪎⋱⫍3247⫥∨⫟(⪎⋱⫍1782⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1516,"base":13},"right_expr":{"type":"numeric_atoms","value":6988,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3486,"base":13}}},"used_operators":["KYD54nUTWz","rGHVDoGpnC","14qkJME0vr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1516","layer":2},{"info":"number node, value=6988","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=6988, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3486","layer":2},{"info":"compute unary expreesion, input=3486, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10537","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10537, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍8C8⨟⋌⩍⪎⋱⫍3247⫥∨⫟(⪎⋱⫍1782⊦⊿)=NaN","reverse_text":"NaN=⪎⋱⫍8C8⨟⋌⩍⪎⋱⫍3247⫥∨⫟(⪎⋱⫍1782⊦⊿)","cot":[{"info":"⪎⋱⫍8C8⨟⋌⩍⪎⋱⫍3247=NaN","layer":1},{"info":"⪎⋱⫍1782⊦⊿=⪎⋱⫍-4A47","layer":1},{"info":"NaN⫥∨⫟⪎⋱⫍-4A47=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"($1961$⩨$1398$)⨓$5951$⪛$1003$","expression":"(⪎⋱⫍B7B⩨⪎⋱⫍837)⨓⪎⋱⫍292A⪛⪎⋱⫍5C2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":954,"operation_count":3,"complexity_ratio":318.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1961,"base":13},"right_expr":{"type":"numeric_atoms","value":1398,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5951,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}}},"used_operators":["3ViojmjbAp","2DlMacCsIx","uFcxV4UQCh"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-573","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1961","layer":2},{"info":"number node, value=1398","layer":2},{"info":"compute binary expreesion, left_input=1961, right_input=1398, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=5951","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=5951, right_input=1003, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=936","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=936, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-939","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B7B⩨⪎⋱⫍837)⨓⪎⋱⫍292A⪛⪎⋱⫍5C2=⪎⋱⫍-573","reverse_text":"⪎⋱⫍-573=(⪎⋱⫍B7B⩨⪎⋱⫍837)⨓⪎⋱⫍292A⪛⪎⋱⫍5C2","cot":[{"info":"⪎⋱⫍B7B⩨⪎⋱⫍837=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍292A⪛⪎⋱⫍5C2=⪎⋱⫍570","layer":1},{"info":"⪎⋱⫍0⨓⪎⋱⫍570=⪎⋱⫍-573","layer":0}]}
{"id":445,"expression_no_base_symbol":"($1746$+$1052$)⨁⊸⫻","expression":"(⪎⋱⫍A44+⪎⋱⫍62C)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1746,"base":13},"right_expr":{"type":"numeric_atoms","value":1052,"base":13}}},"used_operators":["glklzrTFfD","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍1373","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1746","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=1746, right_input=1052, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2798","layer":1},{"info":"compute unary expreesion, input=2798, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2798","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A44+⪎⋱⫍62C)⨁⊸⫻=⪎⋱⫍1373","reverse_text":"⪎⋱⫍1373=(⪎⋱⫍A44+⪎⋱⫍62C)⨁⊸⫻","cot":[{"info":"⪎⋱⫍A44+⪎⋱⫍62C=⪎⋱⫍1373","layer":1},{"info":"⪎⋱⫍1373⨁⊸⫻=⪎⋱⫍1373","layer":0}]}
{"id":446,"expression_no_base_symbol":"⋗⩬⋾$1292$⨪↰⇹$5601$","expression":"⋗⩬⋾⪎⋱⫍785⨪↰⇹⪎⋱⫍271B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1295,"operation_count":2,"complexity_ratio":647.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1292,"base":13},"right_expr":{"type":"numeric_atoms","value":5601,"base":13}}},"used_operators":["DpFCA1CohY","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⪎⋱⫍-19C2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"number node, value=5601","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=5601, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1292","layer":1},{"info":"compute unary expreesion, input=1292, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3876","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾⪎⋱⫍785⨪↰⇹⪎⋱⫍271B=⪎⋱⫍-19C2","reverse_text":"⪎⋱⫍-19C2=⋗⩬⋾⪎⋱⫍785⨪↰⇹⪎⋱⫍271B","cot":[{"info":"⪎⋱⫍785⨪↰⇹⪎⋱⫍271B=⪎⋱⫍785","layer":1},{"info":"⋗⩬⋾⪎⋱⫍785=⪎⋱⫍-19C2","layer":0}]}
{"id":447,"expression_no_base_symbol":"$5922$∑⇟⊟$1627$⊉≛↸$3158$∼$4175$","expression":"⪎⋱⫍2907∑⇟⊟⪎⋱⫍982⊉≛↸⪎⋱⫍158C∼⪎⋱⫍1B92","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":66,"operation_count":3,"complexity_ratio":22.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5922,"base":13},"right_expr":{"type":"numeric_atoms","value":1627,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3158,"base":13},"right_expr":{"type":"numeric_atoms","value":4175,"base":13}}},"used_operators":["DZ8iAZOCBD","U7g4x0WXJJ","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5922","layer":2},{"info":"number node, value=1627","layer":2},{"info":"compute binary expreesion, left_input=5922, right_input=1627, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3158","layer":2},{"info":"number node, value=4175","layer":2},{"info":"compute binary expreesion, left_input=3158, right_input=4175, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2907∑⇟⊟⪎⋱⫍982⊉≛↸⪎⋱⫍158C∼⪎⋱⫍1B92=NaN","reverse_text":"NaN=⪎⋱⫍2907∑⇟⊟⪎⋱⫍982⊉≛↸⪎⋱⫍158C∼⪎⋱⫍1B92","cot":[{"info":"⪎⋱⫍2907∑⇟⊟⪎⋱⫍982=NaN","layer":1},{"info":"⪎⋱⫍158C∼⪎⋱⫍1B92=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"⨰⫟⨤($2888$⫥∨⫟$2236$)","expression":"⨰⫟⨤(⪎⋱⫍1412⫥∨⫟⪎⋱⫍1030)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":183,"operation_count":2,"complexity_ratio":91.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2888,"base":13},"right_expr":{"type":"numeric_atoms","value":2236,"base":13}}},"used_operators":["Tw270M8GLb","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2888","layer":2},{"info":"number node, value=2236","layer":2},{"info":"compute binary expreesion, left_input=2888, right_input=2236, 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":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍1412⫥∨⫟⪎⋱⫍1030)=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍1412⫥∨⫟⪎⋱⫍1030)","cot":[{"info":"⪎⋱⫍1412⫥∨⫟⪎⋱⫍1030=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"⪲⇎$5132$↬$1954$","expression":"⪲⇎⪎⋱⫍244A↬⪎⋱⫍B74","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5132,"base":13},"right_expr":{"type":"numeric_atoms","value":1954,"base":13}}},"used_operators":["XPYlsWDdGa","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5132","layer":2},{"info":"number node, value=1954","layer":2},{"info":"compute binary expreesion, left_input=5132, right_input=1954, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪲⇎⪎⋱⫍244A↬⪎⋱⫍B74=NaN","reverse_text":"NaN=⪲⇎⪎⋱⫍244A↬⪎⋱⫍B74","cot":[{"info":"⪎⋱⫍244A↬⪎⋱⫍B74=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"$3280$⫸⊐$2128$⩨($1427$⪒$1692$)","expression":"⪎⋱⫍1654⫸⊐⪎⋱⫍C79⩨(⪎⋱⫍85A⪒⪎⋱⫍A02)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3280,"base":13},"right_expr":{"type":"numeric_atoms","value":2128,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1427,"base":13},"right_expr":{"type":"numeric_atoms","value":1692,"base":13}}},"used_operators":["2DlMacCsIx","mqXw5SEYmG","f6k1SAg4EE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3280","layer":2},{"info":"number node, value=2128","layer":2},{"info":"compute binary expreesion, left_input=3280, right_input=2128, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8387","layer":1},{"info":"number node, value=1427","layer":2},{"info":"number node, value=1692","layer":2},{"info":"compute binary expreesion, left_input=1427, right_input=1692, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3119","layer":1},{"info":"compute binary expreesion, left_input=8387, right_input=-3119, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1654⫸⊐⪎⋱⫍C79⩨(⪎⋱⫍85A⪒⪎⋱⫍A02)=⪎⋱⫍3","reverse_text":"⪎⋱⫍3=⪎⋱⫍1654⫸⊐⪎⋱⫍C79⩨(⪎⋱⫍85A⪒⪎⋱⫍A02)","cot":[{"info":"⪎⋱⫍1654⫸⊐⪎⋱⫍C79=⪎⋱⫍3A82","layer":1},{"info":"⪎⋱⫍85A⪒⪎⋱⫍A02=⪎⋱⫍-155C","layer":1},{"info":"⪎⋱⫍3A82⩨⪎⋱⫍-155C=⪎⋱⫍3","layer":0}]}
{"id":451,"expression_no_base_symbol":"(⊥$1141$)⨟⋌⩍(⨰⫟⨤$2217$)","expression":"(⊥⪎⋱⫍69A)⨟⋌⩍(⨰⫟⨤⪎⋱⫍1017)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8030,"operation_count":3,"complexity_ratio":2676.6666666666665,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1141,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2217,"base":13}}},"used_operators":["rGHVDoGpnC","Q3PJZHRvZv","Tw270M8GLb"],"dependent_operators":["Tcnh7f0tEr","fu6greOZ01","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1141","layer":2},{"info":"compute unary expreesion, input=1141, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2217","layer":2},{"info":"compute unary expreesion, input=2217, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⊥⪎⋱⫍69A)⨟⋌⩍(⨰⫟⨤⪎⋱⫍1017)=NaN","reverse_text":"NaN=(⊥⪎⋱⫍69A)⨟⋌⩍(⨰⫟⨤⪎⋱⫍1017)","cot":[{"info":"⊥⪎⋱⫍69A=NaN","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1017=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"$2025$↬$1769$⊦⊿","expression":"⪎⋱⫍BCA↬⪎⋱⫍A61⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2025,"base":13},"right_expr":{"type":"numeric_atoms","value":1769,"base":13}}},"used_operators":["14qkJME0vr","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2025","layer":2},{"info":"number node, value=1769","layer":2},{"info":"compute binary expreesion, left_input=2025, 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":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":13,"result_base":13,"text":"⪎⋱⫍BCA↬⪎⋱⫍A61⊦⊿=NaN","reverse_text":"NaN=⪎⋱⫍BCA↬⪎⋱⫍A61⊦⊿","cot":[{"info":"⪎⋱⫍BCA↬⪎⋱⫍A61=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"($5980$⫸⊐$1108$)⨳⩥⨓($2825$≦≮≮)","expression":"(⪎⋱⫍2950⫸⊐⪎⋱⫍673)⨳⩥⨓(⪎⋱⫍1394≦≮≮)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5980,"base":13},"right_expr":{"type":"numeric_atoms","value":1108,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2825,"base":13}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-5A83","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5980","layer":2},{"info":"number node, value=1108","layer":2},{"info":"compute binary expreesion, left_input=5980, right_input=1108, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4307","layer":1},{"info":"number node, value=2825","layer":2},{"info":"compute unary expreesion, input=2825, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8475","layer":1},{"info":"compute binary expreesion, left_input=4307, right_input=-8475, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-12782","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2950⫸⊐⪎⋱⫍673)⨳⩥⨓(⪎⋱⫍1394≦≮≮)=⪎⋱⫍-5A83","reverse_text":"⪎⋱⫍-5A83=(⪎⋱⫍2950⫸⊐⪎⋱⫍673)⨳⩥⨓(⪎⋱⫍1394≦≮≮)","cot":[{"info":"⪎⋱⫍2950⫸⊐⪎⋱⫍673=⪎⋱⫍1C64","layer":1},{"info":"⪎⋱⫍1394≦≮≮=⪎⋱⫍-3B1C","layer":1},{"info":"⪎⋱⫍1C64⨳⩥⨓⪎⋱⫍-3B1C=⪎⋱⫍-5A83","layer":0}]}
{"id":454,"expression_no_base_symbol":"$3321$⋓$2433$⇼⇔∾($1024$*$6455$)","expression":"⪎⋱⫍1686⋓⪎⋱⫍1152⇼⇔∾(⪎⋱⫍60A*⪎⋱⫍2C27)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1039,"operation_count":3,"complexity_ratio":346.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3321,"base":13},"right_expr":{"type":"numeric_atoms","value":2433,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":6455,"base":13}}},"used_operators":["tifHPKVTfV","T2fj7uvVaJ","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe"],"result":"⪎⋱⫍14A57C5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3321","layer":2},{"info":"number node, value=2433","layer":2},{"info":"compute binary expreesion, left_input=3321, right_input=2433, op_id = T2fj7uvVaJ binary_op_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=1024","layer":2},{"info":"number node, value=6455","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=6455, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6609920","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6609920, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6609920","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1686⋓⪎⋱⫍1152⇼⇔∾(⪎⋱⫍60A*⪎⋱⫍2C27)=⪎⋱⫍14A57C5","reverse_text":"⪎⋱⫍14A57C5=⪎⋱⫍1686⋓⪎⋱⫍1152⇼⇔∾(⪎⋱⫍60A*⪎⋱⫍2C27)","cot":[{"info":"⪎⋱⫍1686⋓⪎⋱⫍1152=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍60A*⪎⋱⫍2C27=⪎⋱⫍14A57C5","layer":1},{"info":"⪎⋱⫍0⇼⇔∾⪎⋱⫍14A57C5=⪎⋱⫍14A57C5","layer":0}]}
{"id":455,"expression_no_base_symbol":"⪝⪂⫅(⇁⨣⪵$2850$)","expression":"⪝⪂⫅(⇁⨣⪵⪎⋱⫍13B3)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2850,"base":13}}},"used_operators":["XTarYq4gQB","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2850","layer":2},{"info":"compute unary expreesion, input=2850, op_id = inkyxCbjAn, 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":13,"result_base":13,"text":"⪝⪂⫅(⇁⨣⪵⪎⋱⫍13B3)=NaN","reverse_text":"NaN=⪝⪂⫅(⇁⨣⪵⪎⋱⫍13B3)","cot":[{"info":"⇁⨣⪵⪎⋱⫍13B3=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"($2032$↺$2180$)⨽$6898$⋓$1573$","expression":"(⪎⋱⫍C04↺⪎⋱⫍CB9)⨽⪎⋱⫍31A8⋓⪎⋱⫍940","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2204,"operation_count":3,"complexity_ratio":734.6666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2032,"base":13},"right_expr":{"type":"numeric_atoms","value":2180,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6898,"base":13},"right_expr":{"type":"numeric_atoms","value":1573,"base":13}}},"used_operators":["8HhzD0ZcuI","7j4O788W3g","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍-2C51A48","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2032","layer":2},{"info":"number node, value=2180","layer":2},{"info":"compute binary expreesion, left_input=2032, right_input=2180, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2180","layer":1},{"info":"number node, value=6898","layer":2},{"info":"number node, value=1573","layer":2},{"info":"compute binary expreesion, left_input=6898, right_input=1573, op_id = T2fj7uvVaJ binary_op_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=2180, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14255886","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C04↺⪎⋱⫍CB9)⨽⪎⋱⫍31A8⋓⪎⋱⫍940=⪎⋱⫍-2C51A48","reverse_text":"⪎⋱⫍-2C51A48=(⪎⋱⫍C04↺⪎⋱⫍CB9)⨽⪎⋱⫍31A8⋓⪎⋱⫍940","cot":[{"info":"⪎⋱⫍C04↺⪎⋱⫍CB9=⪎⋱⫍CB9","layer":1},{"info":"⪎⋱⫍31A8⋓⪎⋱⫍940=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍CB9⨽⪎⋱⫍0=⪎⋱⫍-2C51A48","layer":0}]}
{"id":457,"expression_no_base_symbol":"(⨈⫕$5505$)⊴($2663$⪘⫢$3946$)","expression":"(⨈⫕⪎⋱⫍2676)⊴(⪎⋱⫍129B⪘⫢⪎⋱⫍1A47)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5618,"operation_count":3,"complexity_ratio":1872.6666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5505,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2663,"base":13},"right_expr":{"type":"numeric_atoms","value":3946,"base":13}}},"used_operators":["Nsiff2A1zJ","megm06wKyl","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5505","layer":2},{"info":"compute unary expreesion, input=5505, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=2663","layer":2},{"info":"number node, value=3946","layer":2},{"info":"compute binary expreesion, left_input=2663, right_input=3946, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5202","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=5202, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍2676)⊴(⪎⋱⫍129B⪘⫢⪎⋱⫍1A47)=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍2676)⊴(⪎⋱⫍129B⪘⫢⪎⋱⫍1A47)","cot":[{"info":"⨈⫕⪎⋱⫍2676=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍129B⪘⫢⪎⋱⫍1A47=⪎⋱⫍24A2","layer":1},{"info":"⪎⋱⫍-18⊴⪎⋱⫍24A2=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"$2752$⋥≓≎$2595$+$4606$⨸⪁$8770$","expression":"⪎⋱⫍1339⋥≓≎⪎⋱⫍1248+⪎⋱⫍2134⨸⪁⪎⋱⫍3CB8","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2752,"base":13},"right_expr":{"type":"numeric_atoms","value":2595,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4606,"base":13},"right_expr":{"type":"numeric_atoms","value":8770,"base":13}}},"used_operators":["W4YGzv6Whe","Qy55tPpLXF","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍103BC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":2},{"info":"number node, value=2595","layer":2},{"info":"compute binary expreesion, left_input=2752, right_input=2595, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2471","layer":1},{"info":"number node, value=4606","layer":2},{"info":"number node, value=8770","layer":2},{"info":"compute binary expreesion, left_input=4606, right_input=8770, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26752","layer":1},{"info":"compute binary expreesion, left_input=2471, right_input=26752, op_id = W4YGzv6Whe binary_op_definition= 'None', output=29223","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1339⋥≓≎⪎⋱⫍1248+⪎⋱⫍2134⨸⪁⪎⋱⫍3CB8=⪎⋱⫍103BC","reverse_text":"⪎⋱⫍103BC=⪎⋱⫍1339⋥≓≎⪎⋱⫍1248+⪎⋱⫍2134⨸⪁⪎⋱⫍3CB8","cot":[{"info":"⪎⋱⫍1339⋥≓≎⪎⋱⫍1248=⪎⋱⫍1181","layer":1},{"info":"⪎⋱⫍2134⨸⪁⪎⋱⫍3CB8=⪎⋱⫍C23B","layer":1},{"info":"⪎⋱⫍1181+⪎⋱⫍C23B=⪎⋱⫍103BC","layer":0}]}
{"id":459,"expression_no_base_symbol":"($4575$+⇶⊼$1804$)∀⇚≩($5976$⫸⊐$3135$)","expression":"(⪎⋱⫍210C+⇶⊼⪎⋱⫍A8A)∀⇚≩(⪎⋱⫍2949⫸⊐⪎⋱⫍1572)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4575,"base":13},"right_expr":{"type":"numeric_atoms","value":1804,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5976,"base":13},"right_expr":{"type":"numeric_atoms","value":3135,"base":13}}},"used_operators":["LRNGc0VcxI","TpPTUOHfaN","mqXw5SEYmG"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4575","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=4575, right_input=1804, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=5976","layer":2},{"info":"number node, value=3135","layer":2},{"info":"compute binary expreesion, left_input=5976, right_input=3135, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12415","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12415, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"(⪎⋱⫍210C+⇶⊼⪎⋱⫍A8A)∀⇚≩(⪎⋱⫍2949⫸⊐⪎⋱⫍1572)=NaN","reverse_text":"NaN=(⪎⋱⫍210C+⇶⊼⪎⋱⫍A8A)∀⇚≩(⪎⋱⫍2949⫸⊐⪎⋱⫍1572)","cot":[{"info":"⪎⋱⫍210C+⇶⊼⪎⋱⫍A8A=NaN","layer":1},{"info":"⪎⋱⫍2949⫸⊐⪎⋱⫍1572=⪎⋱⫍5860","layer":1},{"info":"NaN∀⇚≩⪎⋱⫍5860=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"($2866$-$1419$)⋝⋈⪟($2011$≋⫹)","expression":"(⪎⋱⫍13C6-⪎⋱⫍852)⋝⋈⪟(⪎⋱⫍BB9≋⫹)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2866,"base":13},"right_expr":{"type":"numeric_atoms","value":1419,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2011,"base":13}}},"used_operators":["2DDjHMKMc0","rysDP5nf3Z","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍874","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2866","layer":2},{"info":"number node, value=1419","layer":2},{"info":"compute binary expreesion, left_input=2866, right_input=1419, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1447","layer":1},{"info":"number node, value=2011","layer":2},{"info":"compute unary expreesion, input=2011, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4022","layer":1},{"info":"compute binary expreesion, left_input=1447, right_input=-4022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1447","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍13C6-⪎⋱⫍852)⋝⋈⪟(⪎⋱⫍BB9≋⫹)=⪎⋱⫍874","reverse_text":"⪎⋱⫍874=(⪎⋱⫍13C6-⪎⋱⫍852)⋝⋈⪟(⪎⋱⫍BB9≋⫹)","cot":[{"info":"⪎⋱⫍13C6-⪎⋱⫍852=⪎⋱⫍874","layer":1},{"info":"⪎⋱⫍BB9≋⫹=⪎⋱⫍-1AA5","layer":1},{"info":"⪎⋱⫍874⋝⋈⪟⪎⋱⫍-1AA5=⪎⋱⫍874","layer":0}]}
{"id":461,"expression_no_base_symbol":"($1099$⊭∹↮)⇼⇔∾($1024$%$1693$)","expression":"(⪎⋱⫍667⊭∹↮)⇼⇔∾(⪎⋱⫍60A%⪎⋱⫍A03)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1099,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":1693,"base":13}}},"used_operators":["tifHPKVTfV","xNBdhnnwKq","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⪎⋱⫍-6C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"compute unary expreesion, input=1099, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2198","layer":1},{"info":"number node, value=1024","layer":2},{"info":"number node, value=1693","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=1693, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1024","layer":1},{"info":"compute binary expreesion, left_input=2198, right_input=1024, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1174","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍667⊭∹↮)⇼⇔∾(⪎⋱⫍60A%⪎⋱⫍A03)=⪎⋱⫍-6C4","reverse_text":"⪎⋱⫍-6C4=(⪎⋱⫍667⊭∹↮)⇼⇔∾(⪎⋱⫍60A%⪎⋱⫍A03)","cot":[{"info":"⪎⋱⫍667⊭∹↮=⪎⋱⫍1001","layer":1},{"info":"⪎⋱⫍60A%⪎⋱⫍A03=⪎⋱⫍60A","layer":1},{"info":"⪎⋱⫍1001⇼⇔∾⪎⋱⫍60A=⪎⋱⫍-6C4","layer":0}]}
{"id":462,"expression_no_base_symbol":"(⩦⩻⨪$5322$)↬($5492$⊭↱$3077$)","expression":"(⩦⩻⨪⪎⋱⫍2565)↬(⪎⋱⫍2666⊭↱⪎⋱⫍1529)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5322,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5492,"base":13},"right_expr":{"type":"numeric_atoms","value":3077,"base":13}}},"used_operators":["B5M0gjZbta","2td37pGCOC","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5322","layer":2},{"info":"compute unary expreesion, input=5322, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5322","layer":1},{"info":"number node, value=5492","layer":2},{"info":"number node, value=3077","layer":2},{"info":"compute binary expreesion, left_input=5492, right_input=3077, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4825","layer":1},{"info":"compute binary expreesion, left_input=5322, right_input=-4825, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍2565)↬(⪎⋱⫍2666⊭↱⪎⋱⫍1529)=NaN","reverse_text":"NaN=(⩦⩻⨪⪎⋱⫍2565)↬(⪎⋱⫍2666⊭↱⪎⋱⫍1529)","cot":[{"info":"⩦⩻⨪⪎⋱⫍2565=⪎⋱⫍2565","layer":1},{"info":"⪎⋱⫍2666⊭↱⪎⋱⫍1529=⪎⋱⫍-2272","layer":1},{"info":"⪎⋱⫍2565↬⪎⋱⫍-2272=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"(⊥$4101$)⇼⇔∾($3264$⨁⊸⫻)","expression":"(⊥⪎⋱⫍1B36)⇼⇔∾(⪎⋱⫍1641⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4101,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3264,"base":13}}},"used_operators":["tifHPKVTfV","Q3PJZHRvZv","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4101","layer":2},{"info":"compute unary expreesion, input=4101, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3264","layer":2},{"info":"compute unary expreesion, input=3264, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3264, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥⪎⋱⫍1B36)⇼⇔∾(⪎⋱⫍1641⨁⊸⫻)=NaN","reverse_text":"NaN=(⊥⪎⋱⫍1B36)⇼⇔∾(⪎⋱⫍1641⨁⊸⫻)","cot":[{"info":"⊥⪎⋱⫍1B36=NaN","layer":1},{"info":"⪎⋱⫍1641⨁⊸⫻=⪎⋱⫍1641","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍1641=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"(+⊝⨔$1013$)⫥∨⫟(⊙↵-$3961$)","expression":"(+⊝⨔⪎⋱⫍5CC)⫥∨⫟(⊙↵-⪎⋱⫍1A59)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4201,"operation_count":3,"complexity_ratio":1400.3333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1013,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3961,"base":13}}},"used_operators":["KYD54nUTWz","DhbWaqg5eL","oWn0xqSxBt"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"compute unary expreesion, input=1013, 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=3961","layer":2},{"info":"compute unary expreesion, input=3961, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍5CC)⫥∨⫟(⊙↵-⪎⋱⫍1A59)=NaN","reverse_text":"NaN=(+⊝⨔⪎⋱⫍5CC)⫥∨⫟(⊙↵-⪎⋱⫍1A59)","cot":[{"info":"+⊝⨔⪎⋱⫍5CC=⪎⋱⫍901","layer":1},{"info":"⊙↵-⪎⋱⫍1A59=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍901⫥∨⫟⪎⋱⫍-1=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"$1165$⊭↱$1134$⨸⪁(-$2051$)","expression":"⪎⋱⫍6B8⊭↱⪎⋱⫍693⨸⪁(-⪎⋱⫍C1A)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1165,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2051,"base":13}}},"used_operators":["g55IO6H4Gj","COABgblf1C","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1BC4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"number node, value=1134","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=1134, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-57","layer":1},{"info":"number node, value=2051","layer":2},{"info":"compute unary expreesion, input=2051, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2051","layer":1},{"info":"compute binary expreesion, left_input=-57, right_input=-2051, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4216","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍6B8⊭↱⪎⋱⫍693⨸⪁(-⪎⋱⫍C1A)=⪎⋱⫍-1BC4","reverse_text":"⪎⋱⫍-1BC4=⪎⋱⫍6B8⊭↱⪎⋱⫍693⨸⪁(-⪎⋱⫍C1A)","cot":[{"info":"⪎⋱⫍6B8⊭↱⪎⋱⫍693=⪎⋱⫍-45","layer":1},{"info":"-⪎⋱⫍C1A=⪎⋱⫍-C1A","layer":1},{"info":"⪎⋱⫍-45⨸⪁⪎⋱⫍-C1A=⪎⋱⫍-1BC4","layer":0}]}
{"id":466,"expression_no_base_symbol":"(⇁⨣⪵$1849$)%$1072$⇼⇔∾$5144$","expression":"(⇁⨣⪵⪎⋱⫍AC3)%⪎⋱⫍646⇼⇔∾⪎⋱⫍2459","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1849,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1072,"base":13},"right_expr":{"type":"numeric_atoms","value":5144,"base":13}}},"used_operators":["k8jYdgA6NY","inkyxCbjAn","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1849","layer":2},{"info":"compute unary expreesion, input=1849, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1072","layer":2},{"info":"number node, value=5144","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=5144, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4072","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4072, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍AC3)%⪎⋱⫍646⇼⇔∾⪎⋱⫍2459=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍AC3)%⪎⋱⫍646⇼⇔∾⪎⋱⫍2459","cot":[{"info":"⇁⨣⪵⪎⋱⫍AC3=NaN","layer":1},{"info":"⪎⋱⫍646⇼⇔∾⪎⋱⫍2459=⪎⋱⫍1B13","layer":1},{"info":"NaN%⪎⋱⫍1B13=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(⊙↵-$5008$)%(∂$2510$)","expression":"(⊙↵-⪎⋱⫍2383)%(∂⪎⋱⫍11B1)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5056,"operation_count":3,"complexity_ratio":1685.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5008,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2510,"base":13}}},"used_operators":["k8jYdgA6NY","oWn0xqSxBt","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5008","layer":2},{"info":"compute unary expreesion, input=5008, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2510","layer":2},{"info":"compute unary expreesion, input=2510, 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=-1, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-⪎⋱⫍2383)%(∂⪎⋱⫍11B1)=NaN","reverse_text":"NaN=(⊙↵-⪎⋱⫍2383)%(∂⪎⋱⫍11B1)","cot":[{"info":"⊙↵-⪎⋱⫍2383=⪎⋱⫍-1","layer":1},{"info":"∂⪎⋱⫍11B1=NaN","layer":1},{"info":"⪎⋱⫍-1%NaN=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"($1925$⇋≉)∑⇟⊟$1017$⪘⫢$2698$","expression":"(⪎⋱⫍B51⇋≉)∑⇟⊟⪎⋱⫍603⪘⫢⪎⋱⫍12C7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1925,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1017,"base":13},"right_expr":{"type":"numeric_atoms","value":2698,"base":13}}},"used_operators":["U7g4x0WXJJ","XIabStNQrY","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":2},{"info":"compute unary expreesion, input=1925, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3752","layer":1},{"info":"number node, value=1017","layer":2},{"info":"number node, value=2698","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=2698, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1910","layer":1},{"info":"compute binary expreesion, left_input=3752, right_input=1910, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B51⇋≉)∑⇟⊟⪎⋱⫍603⪘⫢⪎⋱⫍12C7=NaN","reverse_text":"NaN=(⪎⋱⫍B51⇋≉)∑⇟⊟⪎⋱⫍603⪘⫢⪎⋱⫍12C7","cot":[{"info":"⪎⋱⫍B51⇋≉=⪎⋱⫍1928","layer":1},{"info":"⪎⋱⫍603⪘⫢⪎⋱⫍12C7=⪎⋱⫍B3C","layer":1},{"info":"⪎⋱⫍1928∑⇟⊟⪎⋱⫍B3C=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"$1603$⫥∨⫟$3664$⪨≂$1741$⨪↰⇹$3338$","expression":"⪎⋱⫍964⫥∨⫟⪎⋱⫍188B⪨≂⪎⋱⫍A3C⨪↰⇹⪎⋱⫍169A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1900,"operation_count":3,"complexity_ratio":633.3333333333334,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1603,"base":13},"right_expr":{"type":"numeric_atoms","value":3664,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1741,"base":13},"right_expr":{"type":"numeric_atoms","value":3338,"base":13}}},"used_operators":["sdazOOVcIp","KYD54nUTWz","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1603","layer":2},{"info":"number node, value=3664","layer":2},{"info":"compute binary expreesion, left_input=1603, right_input=3664, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1741","layer":2},{"info":"number node, value=3338","layer":2},{"info":"compute binary expreesion, left_input=1741, right_input=3338, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1741","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1741, op_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":13,"result_base":13,"text":"⪎⋱⫍964⫥∨⫟⪎⋱⫍188B⪨≂⪎⋱⫍A3C⨪↰⇹⪎⋱⫍169A=NaN","reverse_text":"NaN=⪎⋱⫍964⫥∨⫟⪎⋱⫍188B⪨≂⪎⋱⫍A3C⨪↰⇹⪎⋱⫍169A","cot":[{"info":"⪎⋱⫍964⫥∨⫟⪎⋱⫍188B=NaN","layer":1},{"info":"⪎⋱⫍A3C⨪↰⇹⪎⋱⫍169A=⪎⋱⫍A3C","layer":1},{"info":"NaN⪨≂⪎⋱⫍A3C=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"$1133$⨽$2669$↪⪝","expression":"⪎⋱⫍692⨽⪎⋱⫍12A4↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1740,"operation_count":2,"complexity_ratio":870.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":2669,"base":13}}},"used_operators":["l07mrZUIn9","8HhzD0ZcuI"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":2},{"info":"number node, value=2669","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=2669, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3857760","layer":1},{"info":"compute unary expreesion, input=-3857760, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍692⨽⪎⋱⫍12A4↪⪝=-Inf","reverse_text":"-Inf=⪎⋱⫍692⨽⪎⋱⫍12A4↪⪝","cot":[{"info":"⪎⋱⫍692⨽⪎⋱⫍12A4=⪎⋱⫍-A50BCA","layer":1},{"info":"⪎⋱⫍-A50BCA↪⪝=-Inf","layer":0}]}
{"id":471,"expression_no_base_symbol":"↥(≉$2040$)","expression":"↥(≉⪎⋱⫍C0C)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":2,"complexity_ratio":26.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2040,"base":13}}},"used_operators":["A8NUZmVepG","e1ybzncUwg"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2040","layer":2},{"info":"compute unary expreesion, input=2040, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2571","layer":1},{"info":"compute unary expreesion, input=2571, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":0}],"base":13,"result_base":13,"text":"↥(≉⪎⋱⫍C0C)=⪎⋱⫍18","reverse_text":"⪎⋱⫍18=↥(≉⪎⋱⫍C0C)","cot":[{"info":"≉⪎⋱⫍C0C=⪎⋱⫍122A","layer":1},{"info":"↥⪎⋱⫍122A=⪎⋱⫍18","layer":0}]}
{"id":472,"expression_no_base_symbol":"($2797$⨸⪁$2034$)⨟⋌⩍($5358$⋷$2998$)","expression":"(⪎⋱⫍1372⨸⪁⪎⋱⫍C06)⨟⋌⩍(⪎⋱⫍2592⋷⪎⋱⫍1498)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3068,"operation_count":3,"complexity_ratio":1022.6666666666666,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2797,"base":13},"right_expr":{"type":"numeric_atoms","value":2034,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5358,"base":13},"right_expr":{"type":"numeric_atoms","value":2998,"base":13}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","23Mk6UjR3U"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2797","layer":2},{"info":"number node, value=2034","layer":2},{"info":"compute binary expreesion, left_input=2797, right_input=2034, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9662","layer":1},{"info":"number node, value=5358","layer":2},{"info":"number node, value=2998","layer":2},{"info":"compute binary expreesion, left_input=5358, right_input=2998, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=638","layer":1},{"info":"compute binary expreesion, left_input=9662, right_input=638, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":13,"result_base":13,"text":"(⪎⋱⫍1372⨸⪁⪎⋱⫍C06)⨟⋌⩍(⪎⋱⫍2592⋷⪎⋱⫍1498)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1372⨸⪁⪎⋱⫍C06)⨟⋌⩍(⪎⋱⫍2592⋷⪎⋱⫍1498)","cot":[{"info":"⪎⋱⫍1372⨸⪁⪎⋱⫍C06=⪎⋱⫍4523","layer":1},{"info":"⪎⋱⫍2592⋷⪎⋱⫍1498=⪎⋱⫍3A1","layer":1},{"info":"⪎⋱⫍4523⨟⋌⩍⪎⋱⫍3A1=⪎⋱⫍0","layer":0}]}
{"id":473,"expression_no_base_symbol":"⪝⪂⫅(⨞⊢$5503$)","expression":"⪝⪂⫅(⨞⊢⪎⋱⫍2674)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":152,"operation_count":2,"complexity_ratio":76.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5503,"base":13}}},"used_operators":["XTarYq4gQB","xUOZtlo3hN"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍232ACA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5503","layer":2},{"info":"compute unary expreesion, input=5503, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5677","layer":1},{"info":"compute unary expreesion, input=-5677, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=834519","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⨞⊢⪎⋱⫍2674)=⪎⋱⫍232ACA","reverse_text":"⪎⋱⫍232ACA=⪝⪂⫅(⨞⊢⪎⋱⫍2674)","cot":[{"info":"⨞⊢⪎⋱⫍2674=⪎⋱⫍-2779","layer":1},{"info":"⪝⪂⫅⪎⋱⫍-2779=⪎⋱⫍232ACA","layer":0}]}
{"id":474,"expression_no_base_symbol":"($3195$⪠⩆⊳)⨵⪆$1385$⊴$2520$","expression":"(⪎⋱⫍15BA⪠⩆⊳)⨵⪆⪎⋱⫍827⊴⪎⋱⫍11BB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2533,"operation_count":3,"complexity_ratio":844.3333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3195,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1385,"base":13},"right_expr":{"type":"numeric_atoms","value":2520,"base":13}}},"used_operators":["2DQ55sFlQl","JLbD19bQDL","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3195","layer":2},{"info":"compute unary expreesion, input=3195, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=1385","layer":2},{"info":"number node, value=2520","layer":2},{"info":"compute binary expreesion, left_input=1385, right_input=2520, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍15BA⪠⩆⊳)⨵⪆⪎⋱⫍827⊴⪎⋱⫍11BB=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍15BA⪠⩆⊳)⨵⪆⪎⋱⫍827⊴⪎⋱⫍11BB","cot":[{"info":"⪎⋱⫍15BA⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍827⊴⪎⋱⫍11BB=NaN","layer":1},{"info":"⪎⋱⫍0⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":475,"expression_no_base_symbol":"(⫛⫱⨽$1693$)⪢($1748$⇼⇔∾$4367$)","expression":"(⫛⫱⨽⪎⋱⫍A03)⪢(⪎⋱⫍A46⇼⇔∾⪎⋱⫍1CAC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4043,"operation_count":3,"complexity_ratio":1347.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1693,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1748,"base":13},"right_expr":{"type":"numeric_atoms","value":4367,"base":13}}},"used_operators":["dWAJyo7jo9","DlLNRPXxWL","tifHPKVTfV"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1693","layer":2},{"info":"compute unary expreesion, input=1693, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1748","layer":2},{"info":"number node, value=4367","layer":2},{"info":"compute binary expreesion, left_input=1748, right_input=4367, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2619","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2619, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍A03)⪢(⪎⋱⫍A46⇼⇔∾⪎⋱⫍1CAC)=NaN","reverse_text":"NaN=(⫛⫱⨽⪎⋱⫍A03)⪢(⪎⋱⫍A46⇼⇔∾⪎⋱⫍1CAC)","cot":[{"info":"⫛⫱⨽⪎⋱⫍A03=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍A46⇼⇔∾⪎⋱⫍1CAC=⪎⋱⫍1266","layer":1},{"info":"⪎⋱⫍0⪢⪎⋱⫍1266=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"($1667$⩨$7197$)↺$5778$⪛$3834$","expression":"(⪎⋱⫍9B3⩨⪎⋱⫍3378)↺⪎⋱⫍2826⪛⪎⋱⫍198C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1667,"base":13},"right_expr":{"type":"numeric_atoms","value":7197,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5778,"base":13},"right_expr":{"type":"numeric_atoms","value":3834,"base":13}}},"used_operators":["7j4O788W3g","2DlMacCsIx","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍B67","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1667","layer":2},{"info":"number node, value=7197","layer":2},{"info":"compute binary expreesion, left_input=1667, right_input=7197, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":1},{"info":"number node, value=5778","layer":2},{"info":"number node, value=3834","layer":2},{"info":"compute binary expreesion, left_input=5778, right_input=3834, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1944","layer":1},{"info":"compute binary expreesion, left_input=-12, right_input=1944, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1944","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9B3⩨⪎⋱⫍3378)↺⪎⋱⫍2826⪛⪎⋱⫍198C=⪎⋱⫍B67","reverse_text":"⪎⋱⫍B67=(⪎⋱⫍9B3⩨⪎⋱⫍3378)↺⪎⋱⫍2826⪛⪎⋱⫍198C","cot":[{"info":"⪎⋱⫍9B3⩨⪎⋱⫍3378=⪎⋱⫍-C","layer":1},{"info":"⪎⋱⫍2826⪛⪎⋱⫍198C=⪎⋱⫍B67","layer":1},{"info":"⪎⋱⫍-C↺⪎⋱⫍B67=⪎⋱⫍B67","layer":0}]}
{"id":477,"expression_no_base_symbol":"($2363$⩤)/$3921$⋥≓≎$1454$","expression":"(⪎⋱⫍10CA⩤)/⪎⋱⫍1A28⋥≓≎⪎⋱⫍87B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2363,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3921,"base":13},"right_expr":{"type":"numeric_atoms","value":1454,"base":13}}},"used_operators":["XhwjNDsVaA","Z2TMIBDE3Q","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":2},{"info":"compute unary expreesion, input=2363, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2363","layer":1},{"info":"number node, value=3921","layer":2},{"info":"number node, value=1454","layer":2},{"info":"compute binary expreesion, left_input=3921, right_input=1454, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-980","layer":1},{"info":"compute binary expreesion, left_input=-2363, right_input=-980, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍10CA⩤)/⪎⋱⫍1A28⋥≓≎⪎⋱⫍87B=⪎⋱⫍2","reverse_text":"⪎⋱⫍2=(⪎⋱⫍10CA⩤)/⪎⋱⫍1A28⋥≓≎⪎⋱⫍87B","cot":[{"info":"⪎⋱⫍10CA⩤=⪎⋱⫍-10CA","layer":1},{"info":"⪎⋱⫍1A28⋥≓≎⪎⋱⫍87B=⪎⋱⫍-5A5","layer":1},{"info":"⪎⋱⫍-10CA/⪎⋱⫍-5A5=⪎⋱⫍2","layer":0}]}
{"id":478,"expression_no_base_symbol":"↥($7361$%$4818$)","expression":"↥(⪎⋱⫍3473%⪎⋱⫍2268)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":2,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7361,"base":13},"right_expr":{"type":"numeric_atoms","value":4818,"base":13}}},"used_operators":["A8NUZmVepG","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z"],"result":"⪎⋱⫍35","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7361","layer":2},{"info":"number node, value=4818","layer":2},{"info":"compute binary expreesion, left_input=7361, right_input=4818, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2543","layer":1},{"info":"compute unary expreesion, input=2543, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":0}],"base":13,"result_base":13,"text":"↥(⪎⋱⫍3473%⪎⋱⫍2268)=⪎⋱⫍35","reverse_text":"⪎⋱⫍35=↥(⪎⋱⫍3473%⪎⋱⫍2268)","cot":[{"info":"⪎⋱⫍3473%⪎⋱⫍2268=⪎⋱⫍1208","layer":1},{"info":"↥⪎⋱⫍1208=⪎⋱⫍35","layer":0}]}
{"id":479,"expression_no_base_symbol":"$1022$⇷$1123$⫸⊐($1128$⨁⊸⫻)","expression":"⪎⋱⫍608⇷⪎⋱⫍685⫸⊐(⪎⋱⫍68A⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14339,"operation_count":3,"complexity_ratio":4779.666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1022,"base":13},"right_expr":{"type":"numeric_atoms","value":1123,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1128,"base":13}}},"used_operators":["mqXw5SEYmG","mp7IySMOzn","glklzrTFfD"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍1CC6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=1123","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=1123, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2246","layer":1},{"info":"number node, value=1128","layer":2},{"info":"compute unary expreesion, input=1128, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1128","layer":1},{"info":"compute binary expreesion, left_input=2246, right_input=1128, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4387","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍608⇷⪎⋱⫍685⫸⊐(⪎⋱⫍68A⨁⊸⫻)=⪎⋱⫍1CC6","reverse_text":"⪎⋱⫍1CC6=⪎⋱⫍608⇷⪎⋱⫍685⫸⊐(⪎⋱⫍68A⨁⊸⫻)","cot":[{"info":"⪎⋱⫍608⇷⪎⋱⫍685=⪎⋱⫍103A","layer":1},{"info":"⪎⋱⫍68A⨁⊸⫻=⪎⋱⫍68A","layer":1},{"info":"⪎⋱⫍103A⫸⊐⪎⋱⫍68A=⪎⋱⫍1CC6","layer":0}]}
{"id":480,"expression_no_base_symbol":"($3647$⨳⩥⨓$3643$)⪘⫢(⋗⩬⋾$1253$)","expression":"(⪎⋱⫍1877⨳⩥⨓⪎⋱⫍1873)⪘⫢(⋗⩬⋾⪎⋱⫍755)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3647,"base":13},"right_expr":{"type":"numeric_atoms","value":3643,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1253,"base":13}}},"used_operators":["oacrs7FA3X","nCS4ZIUYfx","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3647","layer":2},{"info":"number node, value=3643","layer":2},{"info":"compute binary expreesion, left_input=3647, right_input=3643, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4","layer":1},{"info":"number node, value=1253","layer":2},{"info":"compute unary expreesion, input=1253, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3759","layer":1},{"info":"compute binary expreesion, left_input=-4, right_input=-3759, 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":13,"result_base":13,"text":"(⪎⋱⫍1877⨳⩥⨓⪎⋱⫍1873)⪘⫢(⋗⩬⋾⪎⋱⫍755)=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⪎⋱⫍1877⨳⩥⨓⪎⋱⫍1873)⪘⫢(⋗⩬⋾⪎⋱⫍755)","cot":[{"info":"⪎⋱⫍1877⨳⩥⨓⪎⋱⫍1873=⪎⋱⫍-4","layer":1},{"info":"⋗⩬⋾⪎⋱⫍755=⪎⋱⫍-1932","layer":1},{"info":"⪎⋱⫍-4⪘⫢⪎⋱⫍-1932=⪎⋱⫍-1","layer":0}]}
{"id":481,"expression_no_base_symbol":"⩦⩻⨪(↽≂$2812$)","expression":"⩦⩻⨪(↽≂⪎⋱⫍1384)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2812,"base":13}}},"used_operators":["2td37pGCOC","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2738","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2812","layer":2},{"info":"compute unary expreesion, input=2812, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5624","layer":1},{"info":"compute unary expreesion, input=-5624, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-5624","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(↽≂⪎⋱⫍1384)=⪎⋱⫍-2738","reverse_text":"⪎⋱⫍-2738=⩦⩻⨪(↽≂⪎⋱⫍1384)","cot":[{"info":"↽≂⪎⋱⫍1384=⪎⋱⫍-2738","layer":1},{"info":"⩦⩻⨪⪎⋱⫍-2738=⪎⋱⫍-2738","layer":0}]}
{"id":482,"expression_no_base_symbol":"($2279$⫥∨⫟$6203$)⋝⋈⪟($2526$⨰$1387$)","expression":"(⪎⋱⫍1064⫥∨⫟⪎⋱⫍2A92)⋝⋈⪟(⪎⋱⫍11C4⨰⪎⋱⫍829)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2279,"base":13},"right_expr":{"type":"numeric_atoms","value":6203,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2526,"base":13},"right_expr":{"type":"numeric_atoms","value":1387,"base":13}}},"used_operators":["2DDjHMKMc0","KYD54nUTWz","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2279","layer":2},{"info":"number node, value=6203","layer":2},{"info":"compute binary expreesion, left_input=2279, right_input=6203, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2526","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=2526, right_input=1387, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1149","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1149, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1064⫥∨⫟⪎⋱⫍2A92)⋝⋈⪟(⪎⋱⫍11C4⨰⪎⋱⫍829)=NaN","reverse_text":"NaN=(⪎⋱⫍1064⫥∨⫟⪎⋱⫍2A92)⋝⋈⪟(⪎⋱⫍11C4⨰⪎⋱⫍829)","cot":[{"info":"⪎⋱⫍1064⫥∨⫟⪎⋱⫍2A92=NaN","layer":1},{"info":"⪎⋱⫍11C4⨰⪎⋱⫍829=⪎⋱⫍6A5","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍6A5=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"⊄⩳↩(∂$4392$)","expression":"⊄⩳↩(∂⪎⋱⫍1CCB)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4392,"base":13}}},"used_operators":["8w2t5hMYqp","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4392","layer":2},{"info":"compute unary expreesion, input=4392, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(∂⪎⋱⫍1CCB)=NaN","reverse_text":"NaN=⊄⩳↩(∂⪎⋱⫍1CCB)","cot":[{"info":"∂⪎⋱⫍1CCB=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"≉$1702$⨽$1932$","expression":"≉⪎⋱⫍A0C⨽⪎⋱⫍B58","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1712,"operation_count":2,"complexity_ratio":856.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1702,"base":13},"right_expr":{"type":"numeric_atoms","value":1932,"base":13}}},"used_operators":["e1ybzncUwg","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍-1A55810","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":2},{"info":"number node, value=1932","layer":2},{"info":"compute binary expreesion, left_input=1702, right_input=1932, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8694894","layer":1},{"info":"compute unary expreesion, input=-8694894, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-8694894","layer":0}],"base":13,"result_base":13,"text":"≉⪎⋱⫍A0C⨽⪎⋱⫍B58=⪎⋱⫍-1A55810","reverse_text":"⪎⋱⫍-1A55810=≉⪎⋱⫍A0C⨽⪎⋱⫍B58","cot":[{"info":"⪎⋱⫍A0C⨽⪎⋱⫍B58=⪎⋱⫍-1A55810","layer":1},{"info":"≉⪎⋱⫍-1A55810=⪎⋱⫍-1A55810","layer":0}]}
{"id":485,"expression_no_base_symbol":"(↽≂$4004$)≫≃","expression":"(↽≂⪎⋱⫍1A90)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4004,"base":13}}},"used_operators":["X99M06cbEe","u6S6b8DprG"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-6863","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4004","layer":2},{"info":"compute unary expreesion, input=4004, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8008","layer":1},{"info":"compute unary expreesion, input=-8008, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-14615","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍1A90)≫≃=⪎⋱⫍-6863","reverse_text":"⪎⋱⫍-6863=(↽≂⪎⋱⫍1A90)≫≃","cot":[{"info":"↽≂⪎⋱⫍1A90=⪎⋱⫍-3850","layer":1},{"info":"⪎⋱⫍-3850≫≃=⪎⋱⫍-6863","layer":0}]}
{"id":486,"expression_no_base_symbol":"$1153$∼$1547$≭$3024$⪢$2266$","expression":"⪎⋱⫍6A9∼⪎⋱⫍920≭⪎⋱⫍14B8⪢⪎⋱⫍1054","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2421,"operation_count":3,"complexity_ratio":807.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1153,"base":13},"right_expr":{"type":"numeric_atoms","value":1547,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3024,"base":13},"right_expr":{"type":"numeric_atoms","value":2266,"base":13}}},"used_operators":["rxpJgHHUmx","DyGG3AbaNP","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"number node, value=1547","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=1547, 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=3024","layer":2},{"info":"number node, value=2266","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=2266, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"⪎⋱⫍6A9∼⪎⋱⫍920≭⪎⋱⫍14B8⪢⪎⋱⫍1054=NaN","reverse_text":"NaN=⪎⋱⫍6A9∼⪎⋱⫍920≭⪎⋱⫍14B8⪢⪎⋱⫍1054","cot":[{"info":"⪎⋱⫍6A9∼⪎⋱⫍920=NaN","layer":1},{"info":"⪎⋱⫍14B8⪢⪎⋱⫍1054=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"$7383$⊴$3853$≎⊠⪸($4835$⨽$1929$)","expression":"⪎⋱⫍348C⊴⪎⋱⫍19A5≎⊠⪸(⪎⋱⫍227C⨽⪎⋱⫍B55)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11391,"operation_count":3,"complexity_ratio":3797.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7383,"base":13},"right_expr":{"type":"numeric_atoms","value":3853,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4835,"base":13},"right_expr":{"type":"numeric_atoms","value":1929,"base":13}}},"used_operators":["bJkvcejdHO","Nsiff2A1zJ","8HhzD0ZcuI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7383","layer":2},{"info":"number node, value=3853","layer":2},{"info":"compute binary expreesion, left_input=7383, right_input=3853, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4835","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=4835, right_input=1929, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-70136148","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-70136148, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍348C⊴⪎⋱⫍19A5≎⊠⪸(⪎⋱⫍227C⨽⪎⋱⫍B55)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍348C⊴⪎⋱⫍19A5≎⊠⪸(⪎⋱⫍227C⨽⪎⋱⫍B55)","cot":[{"info":"⪎⋱⫍348C⊴⪎⋱⫍19A5=NaN","layer":1},{"info":"⪎⋱⫍227C⨽⪎⋱⫍B55=⪎⋱⫍-116B87A4","layer":1},{"info":"NaN≎⊠⪸⪎⋱⫍-116B87A4=⪎⋱⫍52","layer":0}]}
{"id":488,"expression_no_base_symbol":"(⨞⊢$1049$)⫸⊐(∥⊫$4494$)","expression":"(⨞⊢⪎⋱⫍629)⫸⊐(∥⊫⪎⋱⫍2079)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1049,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4494,"base":13}}},"used_operators":["mqXw5SEYmG","xUOZtlo3hN","P8v4zCKN1o"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍596","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1223","layer":1},{"info":"number node, value=4494","layer":2},{"info":"compute unary expreesion, input=4494, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5362","layer":1},{"info":"compute binary expreesion, left_input=-1223, right_input=5362, 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":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍629)⫸⊐(∥⊫⪎⋱⫍2079)=⪎⋱⫍596","reverse_text":"⪎⋱⫍596=(⨞⊢⪎⋱⫍629)⫸⊐(∥⊫⪎⋱⫍2079)","cot":[{"info":"⨞⊢⪎⋱⫍629=⪎⋱⫍-731","layer":1},{"info":"∥⊫⪎⋱⫍2079=⪎⋱⫍2596","layer":1},{"info":"⪎⋱⫍-731⫸⊐⪎⋱⫍2596=⪎⋱⫍596","layer":0}]}
{"id":489,"expression_no_base_symbol":"$7299$⫥∨⫟$4000$⫸⊐$3227$⨰$2209$","expression":"⪎⋱⫍3426⫥∨⫟⪎⋱⫍1A89⫸⊐⪎⋱⫍1613⨰⪎⋱⫍100C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7299,"base":13},"right_expr":{"type":"numeric_atoms","value":4000,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3227,"base":13},"right_expr":{"type":"numeric_atoms","value":2209,"base":13}}},"used_operators":["mqXw5SEYmG","KYD54nUTWz","eewbuw0ToL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7299","layer":2},{"info":"number node, value=4000","layer":2},{"info":"compute binary expreesion, left_input=7299, right_input=4000, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3227","layer":2},{"info":"number node, value=2209","layer":2},{"info":"compute binary expreesion, left_input=3227, right_input=2209, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1028","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3426⫥∨⫟⪎⋱⫍1A89⫸⊐⪎⋱⫍1613⨰⪎⋱⫍100C=NaN","reverse_text":"NaN=⪎⋱⫍3426⫥∨⫟⪎⋱⫍1A89⫸⊐⪎⋱⫍1613⨰⪎⋱⫍100C","cot":[{"info":"⪎⋱⫍3426⫥∨⫟⪎⋱⫍1A89=NaN","layer":1},{"info":"⪎⋱⫍1613⨰⪎⋱⫍100C=⪎⋱⫍611","layer":1},{"info":"NaN⫸⊐⪎⋱⫍611=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"($4341$⪠⩆⊳)-$2616$↬$4819$","expression":"(⪎⋱⫍1C8C⪠⩆⊳)-⪎⋱⫍1263↬⪎⋱⫍2269","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4341,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2616,"base":13},"right_expr":{"type":"numeric_atoms","value":4819,"base":13}}},"used_operators":["rysDP5nf3Z","JLbD19bQDL","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4341","layer":2},{"info":"compute unary expreesion, input=4341, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=2616","layer":2},{"info":"number node, value=4819","layer":2},{"info":"compute binary expreesion, left_input=2616, right_input=4819, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1C8C⪠⩆⊳)-⪎⋱⫍1263↬⪎⋱⫍2269=NaN","reverse_text":"NaN=(⪎⋱⫍1C8C⪠⩆⊳)-⪎⋱⫍1263↬⪎⋱⫍2269","cot":[{"info":"⪎⋱⫍1C8C⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1263↬⪎⋱⫍2269=NaN","layer":1},{"info":"⪎⋱⫍0-NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"($5817$⫡⨏$5983$)↙$1478$⩷∴$3440$","expression":"(⪎⋱⫍2856⫡⨏⪎⋱⫍2953)↙⪎⋱⫍899⩷∴⪎⋱⫍1748","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3972,"operation_count":3,"complexity_ratio":1324.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5817,"base":13},"right_expr":{"type":"numeric_atoms","value":5983,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1478,"base":13},"right_expr":{"type":"numeric_atoms","value":3440,"base":13}}},"used_operators":["yyfyN0ffXY","QMFrweE19q","9FxExcQeMw"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍552C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5817","layer":2},{"info":"number node, value=5983","layer":2},{"info":"compute binary expreesion, left_input=5817, right_input=5983, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=41834","layer":1},{"info":"number node, value=1478","layer":2},{"info":"number node, value=3440","layer":2},{"info":"compute binary expreesion, left_input=1478, right_input=3440, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3956","layer":1},{"info":"compute binary expreesion, left_input=41834, right_input=-3956, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=11868","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2856⫡⨏⪎⋱⫍2953)↙⪎⋱⫍899⩷∴⪎⋱⫍1748=⪎⋱⫍552C","reverse_text":"⪎⋱⫍552C=(⪎⋱⫍2856⫡⨏⪎⋱⫍2953)↙⪎⋱⫍899⩷∴⪎⋱⫍1748","cot":[{"info":"⪎⋱⫍2856⫡⨏⪎⋱⫍2953=⪎⋱⫍16070","layer":1},{"info":"⪎⋱⫍899⩷∴⪎⋱⫍1748=⪎⋱⫍-1A54","layer":1},{"info":"⪎⋱⫍16070↙⪎⋱⫍-1A54=⪎⋱⫍552C","layer":0}]}
{"id":492,"expression_no_base_symbol":"$3203$∑⇟⊟$1571$+⇶⊼($1018$⊠≄⫣)","expression":"⪎⋱⫍15C5∑⇟⊟⪎⋱⫍93B+⇶⊼(⪎⋱⫍604⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3203,"base":13},"right_expr":{"type":"numeric_atoms","value":1571,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1018,"base":13}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","DIvbN7qnHd"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3203","layer":2},{"info":"number node, value=1571","layer":2},{"info":"compute binary expreesion, left_input=3203, right_input=1571, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1018","layer":2},{"info":"compute unary expreesion, input=1018, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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":13,"result_base":13,"text":"⪎⋱⫍15C5∑⇟⊟⪎⋱⫍93B+⇶⊼(⪎⋱⫍604⊠≄⫣)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍15C5∑⇟⊟⪎⋱⫍93B+⇶⊼(⪎⋱⫍604⊠≄⫣)","cot":[{"info":"⪎⋱⫍15C5∑⇟⊟⪎⋱⫍93B=NaN","layer":1},{"info":"⪎⋱⫍604⊠≄⫣=⪎⋱⫍0","layer":1},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":493,"expression_no_base_symbol":"($2207$⨐⩸⫘$6757$)≭$8035$≧⫂∧$4480$","expression":"(⪎⋱⫍100A⨐⩸⫘⪎⋱⫍30CA)≭⪎⋱⫍3871≧⫂∧⪎⋱⫍2068","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2207,"base":13},"right_expr":{"type":"numeric_atoms","value":6757,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8035,"base":13},"right_expr":{"type":"numeric_atoms","value":4480,"base":13}}},"used_operators":["rxpJgHHUmx","fu6greOZ01","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2207","layer":2},{"info":"number node, value=6757","layer":2},{"info":"compute binary expreesion, left_input=2207, right_input=6757, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=8035","layer":2},{"info":"number node, value=4480","layer":2},{"info":"compute binary expreesion, left_input=8035, right_input=4480, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4007","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4007, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍100A⨐⩸⫘⪎⋱⫍30CA)≭⪎⋱⫍3871≧⫂∧⪎⋱⫍2068=NaN","reverse_text":"NaN=(⪎⋱⫍100A⨐⩸⫘⪎⋱⫍30CA)≭⪎⋱⫍3871≧⫂∧⪎⋱⫍2068","cot":[{"info":"⪎⋱⫍100A⨐⩸⫘⪎⋱⫍30CA=NaN","layer":1},{"info":"⪎⋱⫍3871≧⫂∧⪎⋱⫍2068=⪎⋱⫍1A93","layer":1},{"info":"NaN≭⪎⋱⫍1A93=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"(⩦⩻⨪$6303$)+⇶⊼($1947$⋥≓≎$5107$)","expression":"(⩦⩻⨪⪎⋱⫍2B3B)+⇶⊼(⪎⋱⫍B6A⋥≓≎⪎⋱⫍242B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6303,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1947,"base":13},"right_expr":{"type":"numeric_atoms","value":5107,"base":13}}},"used_operators":["TpPTUOHfaN","2td37pGCOC","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6303","layer":2},{"info":"compute unary expreesion, input=6303, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6303","layer":1},{"info":"number node, value=1947","layer":2},{"info":"number node, value=5107","layer":2},{"info":"compute binary expreesion, left_input=1947, right_input=5107, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8300","layer":1},{"info":"compute binary expreesion, left_input=6303, right_input=8300, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍2B3B)+⇶⊼(⪎⋱⫍B6A⋥≓≎⪎⋱⫍242B)=NaN","reverse_text":"NaN=(⩦⩻⨪⪎⋱⫍2B3B)+⇶⊼(⪎⋱⫍B6A⋥≓≎⪎⋱⫍242B)","cot":[{"info":"⩦⩻⨪⪎⋱⫍2B3B=⪎⋱⫍2B3B","layer":1},{"info":"⪎⋱⫍B6A⋥≓≎⪎⋱⫍242B=⪎⋱⫍3A16","layer":1},{"info":"⪎⋱⫍2B3B+⇶⊼⪎⋱⫍3A16=NaN","layer":0}]}
{"id":495,"expression_no_base_symbol":"$2519$∀⇚≩$4517$⊭↱(⨵≀≌$1069$)","expression":"⪎⋱⫍11BA∀⇚≩⪎⋱⫍2096⊭↱(⨵≀≌⪎⋱⫍643)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17642,"operation_count":3,"complexity_ratio":5880.666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2519,"base":13},"right_expr":{"type":"numeric_atoms","value":4517,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1069,"base":13}}},"used_operators":["COABgblf1C","LRNGc0VcxI","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2519","layer":2},{"info":"number node, value=4517","layer":2},{"info":"compute binary expreesion, left_input=2519, right_input=4517, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1069","layer":2},{"info":"compute unary expreesion, input=1069, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3207","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3207, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍11BA∀⇚≩⪎⋱⫍2096⊭↱(⨵≀≌⪎⋱⫍643)=NaN","reverse_text":"NaN=⪎⋱⫍11BA∀⇚≩⪎⋱⫍2096⊭↱(⨵≀≌⪎⋱⫍643)","cot":[{"info":"⪎⋱⫍11BA∀⇚≩⪎⋱⫍2096=NaN","layer":1},{"info":"⨵≀≌⪎⋱⫍643=⪎⋱⫍-15C9","layer":1},{"info":"NaN⊭↱⪎⋱⫍-15C9=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"(⨈⫕$2862$)⊴($2136$*$2089$)","expression":"(⨈⫕⪎⋱⫍13C2)⊴(⪎⋱⫍C84*⪎⋱⫍C49)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2482,"operation_count":3,"complexity_ratio":827.3333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2862,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2136,"base":13},"right_expr":{"type":"numeric_atoms","value":2089,"base":13}}},"used_operators":["Nsiff2A1zJ","megm06wKyl","9HNa5Wba9A"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":2},{"info":"compute unary expreesion, input=2862, 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=2136","layer":2},{"info":"number node, value=2089","layer":2},{"info":"compute binary expreesion, left_input=2136, right_input=2089, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4462104","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4462104, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍13C2)⊴(⪎⋱⫍C84*⪎⋱⫍C49)=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍13C2)⊴(⪎⋱⫍C84*⪎⋱⫍C49)","cot":[{"info":"⨈⫕⪎⋱⫍13C2=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍C84*⪎⋱⫍C49=⪎⋱⫍C02CCA","layer":1},{"info":"⪎⋱⫍-18⊴⪎⋱⫍C02CCA=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"≤/(⊄⩳↩$1413$)","expression":"≤/(⊄⩳↩⪎⋱⫍849)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1413,"base":13}}},"used_operators":["eLAdDNolq6","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍21C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":2},{"info":"compute unary expreesion, input=1413, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4239","layer":1},{"info":"compute unary expreesion, input=-4239, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4723","layer":0}],"base":13,"result_base":13,"text":"≤/(⊄⩳↩⪎⋱⫍849)=⪎⋱⫍21C4","reverse_text":"⪎⋱⫍21C4=≤/(⊄⩳↩⪎⋱⫍849)","cot":[{"info":"⊄⩳↩⪎⋱⫍849=⪎⋱⫍-1C11","layer":1},{"info":"≤/⪎⋱⫍-1C11=⪎⋱⫍21C4","layer":0}]}
{"id":498,"expression_no_base_symbol":"$7636$⩷∴$2109$⪠⩆⊳","expression":"⪎⋱⫍3625⩷∴⪎⋱⫍C63⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7636,"base":13},"right_expr":{"type":"numeric_atoms","value":2109,"base":13}}},"used_operators":["JLbD19bQDL","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7636","layer":2},{"info":"number node, value=2109","layer":2},{"info":"compute binary expreesion, left_input=7636, right_input=2109, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11022","layer":1},{"info":"compute unary expreesion, input=11022, 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":13,"result_base":13,"text":"⪎⋱⫍3625⩷∴⪎⋱⫍C63⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍3625⩷∴⪎⋱⫍C63⪠⩆⊳","cot":[{"info":"⪎⋱⫍3625⩷∴⪎⋱⫍C63=⪎⋱⫍502B","layer":1},{"info":"⪎⋱⫍502B⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":499,"expression_no_base_symbol":"⨵≀≌($1338$⋷$2206$)","expression":"⨵≀≌(⪎⋱⫍7BC⋷⪎⋱⫍1009)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1338,"base":13},"right_expr":{"type":"numeric_atoms","value":2206,"base":13}}},"used_operators":["srAu1WTS94","23Mk6UjR3U"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-4275","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":2},{"info":"number node, value=2206","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=2206, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3074","layer":1},{"info":"compute unary expreesion, input=3074, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9222","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍7BC⋷⪎⋱⫍1009)=⪎⋱⫍-4275","reverse_text":"⪎⋱⫍-4275=⨵≀≌(⪎⋱⫍7BC⋷⪎⋱⫍1009)","cot":[{"info":"⪎⋱⫍7BC⋷⪎⋱⫍1009=⪎⋱⫍1526","layer":1},{"info":"⨵≀≌⪎⋱⫍1526=⪎⋱⫍-4275","layer":0}]}
{"id":500,"expression_no_base_symbol":"$2209$⪄$1107$*$1629$+⇶⊼$2050$","expression":"⪎⋱⫍100C⪄⪎⋱⫍672*⪎⋱⫍984+⇶⊼⪎⋱⫍C19","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2209,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1629,"base":13},"right_expr":{"type":"numeric_atoms","value":2050,"base":13}}},"used_operators":["9HNa5Wba9A","SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2209","layer":2},{"info":"number node, value=1107","layer":2},{"info":"compute binary expreesion, left_input=2209, right_input=1107, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-327449","layer":1},{"info":"number node, value=1629","layer":2},{"info":"number node, value=2050","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=2050, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-327449, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍100C⪄⪎⋱⫍672*⪎⋱⫍984+⇶⊼⪎⋱⫍C19=NaN","reverse_text":"NaN=⪎⋱⫍100C⪄⪎⋱⫍672*⪎⋱⫍984+⇶⊼⪎⋱⫍C19","cot":[{"info":"⪎⋱⫍100C⪄⪎⋱⫍672=⪎⋱⫍-B6075","layer":1},{"info":"⪎⋱⫍984+⇶⊼⪎⋱⫍C19=NaN","layer":1},{"info":"⪎⋱⫍-B6075*NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"⫛⫱⨽($9018$↙$4729$)","expression":"⫛⫱⨽(⪎⋱⫍4149↙⪎⋱⫍21CA)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6154,"operation_count":2,"complexity_ratio":3077.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9018,"base":13},"right_expr":{"type":"numeric_atoms","value":4729,"base":13}}},"used_operators":["DlLNRPXxWL","yyfyN0ffXY"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9018","layer":2},{"info":"number node, value=4729","layer":2},{"info":"compute binary expreesion, left_input=9018, right_input=4729, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14187","layer":1},{"info":"compute unary expreesion, input=-14187, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍4149↙⪎⋱⫍21CA)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(⪎⋱⫍4149↙⪎⋱⫍21CA)","cot":[{"info":"⪎⋱⫍4149↙⪎⋱⫍21CA=⪎⋱⫍-65C4","layer":1},{"info":"⫛⫱⨽⪎⋱⫍-65C4=⪎⋱⫍0","layer":0}]}
{"id":502,"expression_no_base_symbol":"($1974$≣⋋)⪄($3225$⨸⪁$5353$)","expression":"(⪎⋱⫍B8B≣⋋)⪄(⪎⋱⫍1611⨸⪁⪎⋱⫍258A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":541,"operation_count":3,"complexity_ratio":180.33333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1974,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3225,"base":13},"right_expr":{"type":"numeric_atoms","value":5353,"base":13}}},"used_operators":["SUmda5xLS4","Tcnh7f0tEr","g55IO6H4Gj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe"],"result":"⪎⋱⫍-235BC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1974","layer":2},{"info":"compute unary expreesion, input=1974, 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=3225","layer":2},{"info":"number node, value=5353","layer":2},{"info":"compute binary expreesion, left_input=3225, right_input=5353, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17156","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=17156, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-64713","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B8B≣⋋)⪄(⪎⋱⫍1611⨸⪁⪎⋱⫍258A)=⪎⋱⫍-235BC","reverse_text":"⪎⋱⫍-235BC=(⪎⋱⫍B8B≣⋋)⪄(⪎⋱⫍1611⨸⪁⪎⋱⫍258A)","cot":[{"info":"⪎⋱⫍B8B≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1611⨸⪁⪎⋱⫍258A=⪎⋱⫍7A69","layer":1},{"info":"⪎⋱⫍0⪄⪎⋱⫍7A69=⪎⋱⫍-235BC","layer":0}]}
{"id":503,"expression_no_base_symbol":"($1255$⩠)⊪","expression":"(⪎⋱⫍757⩠)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1255,"base":13}}},"used_operators":["zVYPLywUTj","sJAwomhLZr"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1255","layer":2},{"info":"compute unary expreesion, input=1255, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍757⩠)⊪=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍757⩠)⊪","cot":[{"info":"⪎⋱⫍757⩠=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⊪=⪎⋱⫍0","layer":0}]}
{"id":504,"expression_no_base_symbol":"(⪲⇎$1221$)⇼⇔∾(⨈⫕$6230$)","expression":"(⪲⇎⪎⋱⫍72C)⇼⇔∾(⨈⫕⪎⋱⫍2AB3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":390,"operation_count":3,"complexity_ratio":130.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1221,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6230,"base":13}}},"used_operators":["tifHPKVTfV","XPYlsWDdGa","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍-1176","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":2},{"info":"compute unary expreesion, input=1221, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2442","layer":1},{"info":"number node, value=6230","layer":2},{"info":"compute unary expreesion, input=6230, 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=2442, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2463","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍72C)⇼⇔∾(⨈⫕⪎⋱⫍2AB3)=⪎⋱⫍-1176","reverse_text":"⪎⋱⫍-1176=(⪲⇎⪎⋱⫍72C)⇼⇔∾(⨈⫕⪎⋱⫍2AB3)","cot":[{"info":"⪲⇎⪎⋱⫍72C=⪎⋱⫍115B","layer":1},{"info":"⨈⫕⪎⋱⫍2AB3=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍115B⇼⇔∾⪎⋱⫍-18=⪎⋱⫍-1176","layer":0}]}
{"id":505,"expression_no_base_symbol":"⨞⊢($1233$⨸⪁$1020$)","expression":"⨞⊢(⪎⋱⫍73B⨸⪁⪎⋱⫍606)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1233,"base":13},"right_expr":{"type":"numeric_atoms","value":1020,"base":13}}},"used_operators":["xUOZtlo3hN","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-2190","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=1233, right_input=1020, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4506","layer":1},{"info":"compute unary expreesion, input=4506, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4680","layer":0}],"base":13,"result_base":13,"text":"⨞⊢(⪎⋱⫍73B⨸⪁⪎⋱⫍606)=⪎⋱⫍-2190","reverse_text":"⪎⋱⫍-2190=⨞⊢(⪎⋱⫍73B⨸⪁⪎⋱⫍606)","cot":[{"info":"⪎⋱⫍73B⨸⪁⪎⋱⫍606=⪎⋱⫍2088","layer":1},{"info":"⨞⊢⪎⋱⫍2088=⪎⋱⫍-2190","layer":0}]}
{"id":506,"expression_no_base_symbol":"($3020$⋷$2606$)⪄$1811$⪮%⊝$1162$","expression":"(⪎⋱⫍14B4⋷⪎⋱⫍1256)⪄⪎⋱⫍A94⪮%⊝⪎⋱⫍6B5","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3020,"base":13},"right_expr":{"type":"numeric_atoms","value":2606,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1811,"base":13},"right_expr":{"type":"numeric_atoms","value":1162,"base":13}}},"used_operators":["SUmda5xLS4","23Mk6UjR3U","IWmyXbctLI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍-BA08C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3020","layer":2},{"info":"number node, value=2606","layer":2},{"info":"compute binary expreesion, left_input=3020, right_input=2606, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2192","layer":1},{"info":"number node, value=1811","layer":2},{"info":"number node, value=1162","layer":2},{"info":"compute binary expreesion, left_input=1811, right_input=1162, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3938","layer":1},{"info":"compute binary expreesion, left_input=2192, right_input=3938, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-336257","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍14B4⋷⪎⋱⫍1256)⪄⪎⋱⫍A94⪮%⊝⪎⋱⫍6B5=⪎⋱⫍-BA08C","reverse_text":"⪎⋱⫍-BA08C=(⪎⋱⫍14B4⋷⪎⋱⫍1256)⪄⪎⋱⫍A94⪮%⊝⪎⋱⫍6B5","cot":[{"info":"⪎⋱⫍14B4⋷⪎⋱⫍1256=⪎⋱⫍CC8","layer":1},{"info":"⪎⋱⫍A94⪮%⊝⪎⋱⫍6B5=⪎⋱⫍1A3C","layer":1},{"info":"⪎⋱⫍CC8⪄⪎⋱⫍1A3C=⪎⋱⫍-BA08C","layer":0}]}
{"id":507,"expression_no_base_symbol":"($1249$⨵⪆$6091$)⨪↰⇹($1033$≭$1669$)","expression":"(⪎⋱⫍751⨵⪆⪎⋱⫍2A07)⨪↰⇹(⪎⋱⫍616≭⪎⋱⫍9B5)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1249,"base":13},"right_expr":{"type":"numeric_atoms","value":6091,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1033,"base":13},"right_expr":{"type":"numeric_atoms","value":1669,"base":13}}},"used_operators":["tmPS8pqC7x","2DQ55sFlQl","rxpJgHHUmx"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1249","layer":2},{"info":"number node, value=6091","layer":2},{"info":"compute binary expreesion, left_input=1249, right_input=6091, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1033","layer":2},{"info":"number node, value=1669","layer":2},{"info":"compute binary expreesion, left_input=1033, right_input=1669, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"(⪎⋱⫍751⨵⪆⪎⋱⫍2A07)⨪↰⇹(⪎⋱⫍616≭⪎⋱⫍9B5)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍751⨵⪆⪎⋱⫍2A07)⨪↰⇹(⪎⋱⫍616≭⪎⋱⫍9B5)","cot":[{"info":"⪎⋱⫍751⨵⪆⪎⋱⫍2A07=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍616≭⪎⋱⫍9B5=NaN","layer":1},{"info":"⪎⋱⫍C4⨪↰⇹NaN=⪎⋱⫍C4","layer":0}]}
{"id":508,"expression_no_base_symbol":"($4609$⪄$2522$)↬(↩$3210$)","expression":"(⪎⋱⫍2137⪄⪎⋱⫍11C0)↬(↩⪎⋱⫍15CC)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":112,"operation_count":3,"complexity_ratio":37.333333333333336,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4609,"base":13},"right_expr":{"type":"numeric_atoms","value":2522,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3210,"base":13}}},"used_operators":["B5M0gjZbta","SUmda5xLS4","jLgFTUHLKL"],"dependent_operators":["rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4609","layer":2},{"info":"number node, value=2522","layer":2},{"info":"compute binary expreesion, left_input=4609, right_input=2522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-688309","layer":1},{"info":"number node, value=3210","layer":2},{"info":"compute unary expreesion, input=3210, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22900","layer":1},{"info":"compute binary expreesion, left_input=-688309, right_input=-22900, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍2137⪄⪎⋱⫍11C0)↬(↩⪎⋱⫍15CC)=NaN","reverse_text":"NaN=(⪎⋱⫍2137⪄⪎⋱⫍11C0)↬(↩⪎⋱⫍15CC)","cot":[{"info":"⪎⋱⫍2137⪄⪎⋱⫍11C0=⪎⋱⫍-1B13AB","layer":1},{"info":"↩⪎⋱⫍15CC=⪎⋱⫍-A567","layer":1},{"info":"⪎⋱⫍-1B13AB↬⪎⋱⫍-A567=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"(⫛⫱⨽$5209$)⨪↰⇹($3929$⫥∨⫟$3042$)","expression":"(⫛⫱⨽⪎⋱⫍24A9)⨪↰⇹(⪎⋱⫍1A33⫥∨⫟⪎⋱⫍1500)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1577,"operation_count":3,"complexity_ratio":525.6666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5209,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3929,"base":13},"right_expr":{"type":"numeric_atoms","value":3042,"base":13}}},"used_operators":["tmPS8pqC7x","DlLNRPXxWL","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5209","layer":2},{"info":"compute unary expreesion, input=5209, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3929","layer":2},{"info":"number node, value=3042","layer":2},{"info":"compute binary expreesion, left_input=3929, right_input=3042, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍24A9)⨪↰⇹(⪎⋱⫍1A33⫥∨⫟⪎⋱⫍1500)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫛⫱⨽⪎⋱⫍24A9)⨪↰⇹(⪎⋱⫍1A33⫥∨⫟⪎⋱⫍1500)","cot":[{"info":"⫛⫱⨽⪎⋱⫍24A9=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1A33⫥∨⫟⪎⋱⫍1500=NaN","layer":1},{"info":"⪎⋱⫍0⨪↰⇹NaN=⪎⋱⫍0","layer":0}]}
{"id":510,"expression_no_base_symbol":"($1891$+$3249$)≧⫂∧($1832$⫸⊐$1298$)","expression":"(⪎⋱⫍B26+⪎⋱⫍162C)≧⫂∧(⪎⋱⫍AAC⫸⊐⪎⋱⫍78B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1891,"base":13},"right_expr":{"type":"numeric_atoms","value":3249,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1832,"base":13},"right_expr":{"type":"numeric_atoms","value":1298,"base":13}}},"used_operators":["Ph9nP6C5qx","W4YGzv6Whe","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍2125","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1891","layer":2},{"info":"number node, value=3249","layer":2},{"info":"compute binary expreesion, left_input=1891, right_input=3249, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5140","layer":1},{"info":"number node, value=1832","layer":2},{"info":"number node, value=1298","layer":2},{"info":"compute binary expreesion, left_input=1832, right_input=1298, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5067","layer":1},{"info":"compute binary expreesion, left_input=5140, right_input=5067, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4594","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B26+⪎⋱⫍162C)≧⫂∧(⪎⋱⫍AAC⫸⊐⪎⋱⫍78B)=⪎⋱⫍2125","reverse_text":"⪎⋱⫍2125=(⪎⋱⫍B26+⪎⋱⫍162C)≧⫂∧(⪎⋱⫍AAC⫸⊐⪎⋱⫍78B)","cot":[{"info":"⪎⋱⫍B26+⪎⋱⫍162C=⪎⋱⫍2455","layer":1},{"info":"⪎⋱⫍AAC⫸⊐⪎⋱⫍78B=⪎⋱⫍23CA","layer":1},{"info":"⪎⋱⫍2455≧⫂∧⪎⋱⫍23CA=⪎⋱⫍2125","layer":0}]}
{"id":511,"expression_no_base_symbol":"↯⪼(⪝⪂⫅$4969$)","expression":"↯⪼(⪝⪂⫅⪎⋱⫍2353)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":163,"operation_count":2,"complexity_ratio":81.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4969,"base":13}}},"used_operators":["8jW3W4yZS5","XTarYq4gQB"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍3C16B4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4969","layer":2},{"info":"compute unary expreesion, input=4969, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-730443","layer":1},{"info":"compute unary expreesion, input=-730443, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=1459969","layer":0}],"base":13,"result_base":13,"text":"↯⪼(⪝⪂⫅⪎⋱⫍2353)=⪎⋱⫍3C16B4","reverse_text":"⪎⋱⫍3C16B4=↯⪼(⪝⪂⫅⪎⋱⫍2353)","cot":[{"info":"⪝⪂⫅⪎⋱⫍2353=⪎⋱⫍-1C761C","layer":1},{"info":"↯⪼⪎⋱⫍-1C761C=⪎⋱⫍3C16B4","layer":0}]}
{"id":512,"expression_no_base_symbol":"$1510$⊉≛↸$3188$*$3399$⩚⊴⇥$4348$","expression":"⪎⋱⫍8C2⊉≛↸⪎⋱⫍15B3*⪎⋱⫍1716⩚⊴⇥⪎⋱⫍1C96","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3025,"operation_count":3,"complexity_ratio":1008.3333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1510,"base":13},"right_expr":{"type":"numeric_atoms","value":3188,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3399,"base":13},"right_expr":{"type":"numeric_atoms","value":4348,"base":13}}},"used_operators":["9HNa5Wba9A","DZ8iAZOCBD","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-4BCC49C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":2},{"info":"number node, value=3188","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=3188, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3020","layer":1},{"info":"number node, value=3399","layer":2},{"info":"number node, value=4348","layer":2},{"info":"compute binary expreesion, left_input=3399, right_input=4348, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7868","layer":1},{"info":"compute binary expreesion, left_input=3020, right_input=-7868, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-23761360","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍8C2⊉≛↸⪎⋱⫍15B3*⪎⋱⫍1716⩚⊴⇥⪎⋱⫍1C96=⪎⋱⫍-4BCC49C","reverse_text":"⪎⋱⫍-4BCC49C=⪎⋱⫍8C2⊉≛↸⪎⋱⫍15B3*⪎⋱⫍1716⩚⊴⇥⪎⋱⫍1C96","cot":[{"info":"⪎⋱⫍8C2⊉≛↸⪎⋱⫍15B3=⪎⋱⫍14B4","layer":1},{"info":"⪎⋱⫍1716⩚⊴⇥⪎⋱⫍1C96=⪎⋱⫍-3773","layer":1},{"info":"⪎⋱⫍14B4*⪎⋱⫍-3773=⪎⋱⫍-4BCC49C","layer":0}]}
{"id":513,"expression_no_base_symbol":"⪝⪂⫅$4272$⨟⋌⩍$1487$","expression":"⪝⪂⫅⪎⋱⫍1C38⨟⋌⩍⪎⋱⫍8A5","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4272,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}}},"used_operators":["XTarYq4gQB","rGHVDoGpnC"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4272","layer":2},{"info":"number node, value=1487","layer":2},{"info":"compute binary expreesion, left_input=4272, right_input=1487, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅⪎⋱⫍1C38⨟⋌⩍⪎⋱⫍8A5=NaN","reverse_text":"NaN=⪝⪂⫅⪎⋱⫍1C38⨟⋌⩍⪎⋱⫍8A5","cot":[{"info":"⪎⋱⫍1C38⨟⋌⩍⪎⋱⫍8A5=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"(↔$3279$)∼($6593$⫡⨏$6185$)","expression":"(↔⪎⋱⫍1653)∼(⪎⋱⫍3002⫡⨏⪎⋱⫍2A7A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":3,"complexity_ratio":24.666666666666668,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3279,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6593,"base":13},"right_expr":{"type":"numeric_atoms","value":6185,"base":13}}},"used_operators":["DyGG3AbaNP","ruOEQAzv1W","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3279","layer":2},{"info":"compute unary expreesion, input=3279, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3006","layer":1},{"info":"number node, value=6593","layer":2},{"info":"number node, value=6185","layer":2},{"info":"compute binary expreesion, left_input=6593, right_input=6185, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=46118","layer":1},{"info":"compute binary expreesion, left_input=-3006, right_input=46118, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔⪎⋱⫍1653)∼(⪎⋱⫍3002⫡⨏⪎⋱⫍2A7A)=NaN","reverse_text":"NaN=(↔⪎⋱⫍1653)∼(⪎⋱⫍3002⫡⨏⪎⋱⫍2A7A)","cot":[{"info":"↔⪎⋱⫍1653=⪎⋱⫍-14A3","layer":1},{"info":"⪎⋱⫍3002⫡⨏⪎⋱⫍2A7A=⪎⋱⫍17CB7","layer":1},{"info":"⪎⋱⫍-14A3∼⪎⋱⫍17CB7=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"($1396$⫸⊐$1080$)⨟⋌⩍($3921$⫸⊐$6522$)","expression":"(⪎⋱⫍835⫸⊐⪎⋱⫍651)⨟⋌⩍(⪎⋱⫍1A28⫸⊐⪎⋱⫍2C79)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1396,"base":13},"right_expr":{"type":"numeric_atoms","value":1080,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3921,"base":13},"right_expr":{"type":"numeric_atoms","value":6522,"base":13}}},"used_operators":["rGHVDoGpnC","mqXw5SEYmG"],"dependent_operators":["Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":2},{"info":"number node, value=1080","layer":2},{"info":"compute binary expreesion, left_input=1396, right_input=1080, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4195","layer":1},{"info":"number node, value=3921","layer":2},{"info":"number node, value=6522","layer":2},{"info":"compute binary expreesion, left_input=3921, right_input=6522, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25963","layer":1},{"info":"compute binary expreesion, left_input=4195, right_input=25963, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍835⫸⊐⪎⋱⫍651)⨟⋌⩍(⪎⋱⫍1A28⫸⊐⪎⋱⫍2C79)=NaN","reverse_text":"NaN=(⪎⋱⫍835⫸⊐⪎⋱⫍651)⨟⋌⩍(⪎⋱⫍1A28⫸⊐⪎⋱⫍2C79)","cot":[{"info":"⪎⋱⫍835⫸⊐⪎⋱⫍651=⪎⋱⫍1BA9","layer":1},{"info":"⪎⋱⫍1A28⫸⊐⪎⋱⫍2C79=⪎⋱⫍BA82","layer":1},{"info":"⪎⋱⫍1BA9⨟⋌⩍⪎⋱⫍BA82=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(⫓⪴$1265$)∲⫓$4538$⩷∴$3108$","expression":"(⫓⪴⪎⋱⫍764)∲⫓⪎⋱⫍20B1⩷∴⪎⋱⫍1551","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1273,"operation_count":3,"complexity_ratio":424.3333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1265,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4538,"base":13},"right_expr":{"type":"numeric_atoms","value":3108,"base":13}}},"used_operators":["i8ToyICDmI","eLxqMNBOBk","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":2},{"info":"compute unary expreesion, input=1265, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1600225","layer":1},{"info":"number node, value=4538","layer":2},{"info":"number node, value=3108","layer":2},{"info":"compute binary expreesion, left_input=4538, right_input=3108, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2828","layer":1},{"info":"compute binary expreesion, left_input=1600225, right_input=2828, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴⪎⋱⫍764)∲⫓⪎⋱⫍20B1⩷∴⪎⋱⫍1551=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫓⪴⪎⋱⫍764)∲⫓⪎⋱⫍20B1⩷∴⪎⋱⫍1551","cot":[{"info":"⫓⪴⪎⋱⫍764=⪎⋱⫍4404A3","layer":1},{"info":"⪎⋱⫍20B1⩷∴⪎⋱⫍1551=⪎⋱⫍1397","layer":1},{"info":"⪎⋱⫍4404A3∲⫓⪎⋱⫍1397=⪎⋱⫍0","layer":0}]}
{"id":517,"expression_no_base_symbol":"($8714$⫥∨⫟$2819$)⋝⋈⪟($1010$⋳⪒$3228$)","expression":"(⪎⋱⫍3C74⫥∨⫟⪎⋱⫍138B)⋝⋈⪟(⪎⋱⫍5C9⋳⪒⪎⋱⫍1614)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8714,"base":13},"right_expr":{"type":"numeric_atoms","value":2819,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":3228,"base":13}}},"used_operators":["2DDjHMKMc0","KYD54nUTWz","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8714","layer":2},{"info":"number node, value=2819","layer":2},{"info":"compute binary expreesion, left_input=8714, right_input=2819, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1010","layer":2},{"info":"number node, value=3228","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=3228, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1495","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1495, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3C74⫥∨⫟⪎⋱⫍138B)⋝⋈⪟(⪎⋱⫍5C9⋳⪒⪎⋱⫍1614)=NaN","reverse_text":"NaN=(⪎⋱⫍3C74⫥∨⫟⪎⋱⫍138B)⋝⋈⪟(⪎⋱⫍5C9⋳⪒⪎⋱⫍1614)","cot":[{"info":"⪎⋱⫍3C74⫥∨⫟⪎⋱⫍138B=NaN","layer":1},{"info":"⪎⋱⫍5C9⋳⪒⪎⋱⫍1614=⪎⋱⫍-8B0","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍-8B0=NaN","layer":0}]}
{"id":518,"expression_no_base_symbol":"⇁⨣⪵$6047$⨳⩥⨓$7360$","expression":"⇁⨣⪵⪎⋱⫍29A2⨳⩥⨓⪎⋱⫍3472","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6047,"base":13},"right_expr":{"type":"numeric_atoms","value":7360,"base":13}}},"used_operators":["inkyxCbjAn","nCS4ZIUYfx"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6047","layer":2},{"info":"number node, value=7360","layer":2},{"info":"compute binary expreesion, left_input=6047, right_input=7360, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1313","layer":1},{"info":"compute unary expreesion, input=1313, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵⪎⋱⫍29A2⨳⩥⨓⪎⋱⫍3472=NaN","reverse_text":"NaN=⇁⨣⪵⪎⋱⫍29A2⨳⩥⨓⪎⋱⫍3472","cot":[{"info":"⪎⋱⫍29A2⨳⩥⨓⪎⋱⫍3472=⪎⋱⫍7A0","layer":1},{"info":"⇁⨣⪵⪎⋱⫍7A0=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"⫛⫱⨽($3238$⨸⪁$2523$)","expression":"⫛⫱⨽(⪎⋱⫍1621⨸⪁⪎⋱⫍11C1)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3238,"base":13},"right_expr":{"type":"numeric_atoms","value":2523,"base":13}}},"used_operators":["DlLNRPXxWL","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3238","layer":2},{"info":"number node, value=2523","layer":2},{"info":"compute binary expreesion, left_input=3238, right_input=2523, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11522","layer":1},{"info":"compute unary expreesion, input=11522, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍1621⨸⪁⪎⋱⫍11C1)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(⪎⋱⫍1621⨸⪁⪎⋱⫍11C1)","cot":[{"info":"⪎⋱⫍1621⨸⪁⪎⋱⫍11C1=⪎⋱⫍5324","layer":1},{"info":"⫛⫱⨽⪎⋱⫍5324=⪎⋱⫍0","layer":0}]}
{"id":520,"expression_no_base_symbol":"($4523$⋥≓≎$2943$)⪛($4117$∑⇟⊟$4216$)","expression":"(⪎⋱⫍209C⋥≓≎⪎⋱⫍1455)⪛(⪎⋱⫍1B49∑⇟⊟⪎⋱⫍1BC4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4523,"base":13},"right_expr":{"type":"numeric_atoms","value":2943,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4117,"base":13},"right_expr":{"type":"numeric_atoms","value":4216,"base":13}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4523","layer":2},{"info":"number node, value=2943","layer":2},{"info":"compute binary expreesion, left_input=4523, right_input=2943, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1396","layer":1},{"info":"number node, value=4117","layer":2},{"info":"number node, value=4216","layer":2},{"info":"compute binary expreesion, left_input=4117, right_input=4216, 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=1396, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍209C⋥≓≎⪎⋱⫍1455)⪛(⪎⋱⫍1B49∑⇟⊟⪎⋱⫍1BC4)=NaN","reverse_text":"NaN=(⪎⋱⫍209C⋥≓≎⪎⋱⫍1455)⪛(⪎⋱⫍1B49∑⇟⊟⪎⋱⫍1BC4)","cot":[{"info":"⪎⋱⫍209C⋥≓≎⪎⋱⫍1455=⪎⋱⫍835","layer":1},{"info":"⪎⋱⫍1B49∑⇟⊟⪎⋱⫍1BC4=NaN","layer":1},{"info":"⪎⋱⫍835⪛NaN=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"$1803$-$1295$⪨≂(↽≂$1985$)","expression":"⪎⋱⫍A89-⪎⋱⫍788⪨≂(↽≂⪎⋱⫍B99)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1803,"base":13},"right_expr":{"type":"numeric_atoms","value":1295,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1985,"base":13}}},"used_operators":["sdazOOVcIp","rysDP5nf3Z","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍417A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":2},{"info":"number node, value=1295","layer":2},{"info":"compute binary expreesion, left_input=1803, right_input=1295, op_id = rysDP5nf3Z binary_op_definition= 'None', output=508","layer":1},{"info":"number node, value=1985","layer":2},{"info":"compute unary expreesion, input=1985, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3970","layer":1},{"info":"compute binary expreesion, left_input=508, right_input=-3970, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9058","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A89-⪎⋱⫍788⪨≂(↽≂⪎⋱⫍B99)=⪎⋱⫍417A","reverse_text":"⪎⋱⫍417A=⪎⋱⫍A89-⪎⋱⫍788⪨≂(↽≂⪎⋱⫍B99)","cot":[{"info":"⪎⋱⫍A89-⪎⋱⫍788=⪎⋱⫍301","layer":1},{"info":"↽≂⪎⋱⫍B99=⪎⋱⫍-1A65","layer":1},{"info":"⪎⋱⫍301⪨≂⪎⋱⫍-1A65=⪎⋱⫍417A","layer":0}]}
{"id":522,"expression_no_base_symbol":"↽≂(⋗⩬⋾$5305$)","expression":"↽≂(⋗⩬⋾⪎⋱⫍2551)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5305,"base":13}}},"used_operators":["u6S6b8DprG","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍11646","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5305","layer":2},{"info":"compute unary expreesion, input=5305, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15915","layer":1},{"info":"compute unary expreesion, input=-15915, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=31830","layer":0}],"base":13,"result_base":13,"text":"↽≂(⋗⩬⋾⪎⋱⫍2551)=⪎⋱⫍11646","reverse_text":"⪎⋱⫍11646=↽≂(⋗⩬⋾⪎⋱⫍2551)","cot":[{"info":"⋗⩬⋾⪎⋱⫍2551=⪎⋱⫍-7323","layer":1},{"info":"↽≂⪎⋱⫍-7323=⪎⋱⫍11646","layer":0}]}
{"id":523,"expression_no_base_symbol":"($2763$↙$5939$)⨪↰⇹($5221$∲⫓$1408$)","expression":"(⪎⋱⫍1347↙⪎⋱⫍291B)⨪↰⇹(⪎⋱⫍24B8∲⫓⪎⋱⫍844)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23761,"operation_count":3,"complexity_ratio":7920.333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2763,"base":13},"right_expr":{"type":"numeric_atoms","value":5939,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5221,"base":13},"right_expr":{"type":"numeric_atoms","value":1408,"base":13}}},"used_operators":["tmPS8pqC7x","yyfyN0ffXY","i8ToyICDmI"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍8157","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2763","layer":2},{"info":"number node, value=5939","layer":2},{"info":"compute binary expreesion, left_input=2763, right_input=5939, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17817","layer":1},{"info":"number node, value=5221","layer":2},{"info":"number node, value=1408","layer":2},{"info":"compute binary expreesion, left_input=5221, right_input=1408, 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=-17817, 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=17817","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1347↙⪎⋱⫍291B)⨪↰⇹(⪎⋱⫍24B8∲⫓⪎⋱⫍844)=⪎⋱⫍8157","reverse_text":"⪎⋱⫍8157=(⪎⋱⫍1347↙⪎⋱⫍291B)⨪↰⇹(⪎⋱⫍24B8∲⫓⪎⋱⫍844)","cot":[{"info":"⪎⋱⫍1347↙⪎⋱⫍291B=⪎⋱⫍-8157","layer":1},{"info":"⪎⋱⫍24B8∲⫓⪎⋱⫍844=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-8157⨪↰⇹⪎⋱⫍0=⪎⋱⫍8157","layer":0}]}
{"id":524,"expression_no_base_symbol":"$1676$⇷$1290$∑⇟⊟(≦∁$1676$)","expression":"⪎⋱⫍9BC⇷⪎⋱⫍783∑⇟⊟(≦∁⪎⋱⫍9BC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23472,"operation_count":3,"complexity_ratio":7824.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1676,"base":13},"right_expr":{"type":"numeric_atoms","value":1290,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1676,"base":13}}},"used_operators":["U7g4x0WXJJ","mp7IySMOzn","9ICcGScMcE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":2},{"info":"number node, value=1290","layer":2},{"info":"compute binary expreesion, left_input=1676, right_input=1290, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2580","layer":1},{"info":"number node, value=1676","layer":2},{"info":"compute unary expreesion, input=1676, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1676","layer":1},{"info":"compute binary expreesion, left_input=2580, right_input=1676, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍9BC⇷⪎⋱⫍783∑⇟⊟(≦∁⪎⋱⫍9BC)=NaN","reverse_text":"NaN=⪎⋱⫍9BC⇷⪎⋱⫍783∑⇟⊟(≦∁⪎⋱⫍9BC)","cot":[{"info":"⪎⋱⫍9BC⇷⪎⋱⫍783=⪎⋱⫍1236","layer":1},{"info":"≦∁⪎⋱⫍9BC=⪎⋱⫍9BC","layer":1},{"info":"⪎⋱⫍1236∑⇟⊟⪎⋱⫍9BC=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"⊄⩳↩(↩$1161$)","expression":"⊄⩳↩(↩⪎⋱⫍6B4)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1161,"base":13}}},"used_operators":["8w2t5hMYqp","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍8B6B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":2},{"info":"compute unary expreesion, input=1161, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6508","layer":1},{"info":"compute unary expreesion, input=-6508, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=19524","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(↩⪎⋱⫍6B4)=⪎⋱⫍8B6B","reverse_text":"⪎⋱⫍8B6B=⊄⩳↩(↩⪎⋱⫍6B4)","cot":[{"info":"↩⪎⋱⫍6B4=⪎⋱⫍-2C68","layer":1},{"info":"⊄⩳↩⪎⋱⫍-2C68=⪎⋱⫍8B6B","layer":0}]}
{"id":526,"expression_no_base_symbol":"$1024$⪛$3605$⨪↰⇹$4994$⇷$3402$","expression":"⪎⋱⫍60A⪛⪎⋱⫍1844⨪↰⇹⪎⋱⫍2372⇷⪎⋱⫍1719","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70950,"operation_count":3,"complexity_ratio":23650.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":3605,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4994,"base":13},"right_expr":{"type":"numeric_atoms","value":3402,"base":13}}},"used_operators":["tmPS8pqC7x","uFcxV4UQCh","mp7IySMOzn"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍60A","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=3605","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=3605, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1024","layer":1},{"info":"number node, value=4994","layer":2},{"info":"number node, value=3402","layer":2},{"info":"compute binary expreesion, left_input=4994, right_input=3402, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6804","layer":1},{"info":"compute binary expreesion, left_input=1024, right_input=6804, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1024","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍60A⪛⪎⋱⫍1844⨪↰⇹⪎⋱⫍2372⇷⪎⋱⫍1719=⪎⋱⫍60A","reverse_text":"⪎⋱⫍60A=⪎⋱⫍60A⪛⪎⋱⫍1844⨪↰⇹⪎⋱⫍2372⇷⪎⋱⫍1719","cot":[{"info":"⪎⋱⫍60A⪛⪎⋱⫍1844=⪎⋱⫍60A","layer":1},{"info":"⪎⋱⫍2372⇷⪎⋱⫍1719=⪎⋱⫍3135","layer":1},{"info":"⪎⋱⫍60A⨪↰⇹⪎⋱⫍3135=⪎⋱⫍60A","layer":0}]}
{"id":527,"expression_no_base_symbol":"($3762$/$1634$)↬$1438$⨟⋌⩍$2732$","expression":"(⪎⋱⫍1935/⪎⋱⫍989)↬⪎⋱⫍868⨟⋌⩍⪎⋱⫍1322","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3762,"base":13},"right_expr":{"type":"numeric_atoms","value":1634,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1438,"base":13},"right_expr":{"type":"numeric_atoms","value":2732,"base":13}}},"used_operators":["B5M0gjZbta","XhwjNDsVaA","rGHVDoGpnC"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3762","layer":2},{"info":"number node, value=1634","layer":2},{"info":"compute binary expreesion, left_input=3762, right_input=1634, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"number node, value=1438","layer":2},{"info":"number node, value=2732","layer":2},{"info":"compute binary expreesion, left_input=1438, right_input=2732, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1935/⪎⋱⫍989)↬⪎⋱⫍868⨟⋌⩍⪎⋱⫍1322=NaN","reverse_text":"NaN=(⪎⋱⫍1935/⪎⋱⫍989)↬⪎⋱⫍868⨟⋌⩍⪎⋱⫍1322","cot":[{"info":"⪎⋱⫍1935/⪎⋱⫍989=⪎⋱⫍2","layer":1},{"info":"⪎⋱⫍868⨟⋌⩍⪎⋱⫍1322=NaN","layer":1},{"info":"⪎⋱⫍2↬NaN=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"(≤/$1303$)⨳⩥⨓($3134$⨸⪁$2089$)","expression":"(≤/⪎⋱⫍793)⨳⩥⨓(⪎⋱⫍1571⨸⪁⪎⋱⫍C49)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1303,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3134,"base":13},"right_expr":{"type":"numeric_atoms","value":2089,"base":13}}},"used_operators":["nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍5187","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":2},{"info":"compute unary expreesion, input=1303, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-819","layer":1},{"info":"number node, value=3134","layer":2},{"info":"number node, value=2089","layer":2},{"info":"compute binary expreesion, left_input=3134, right_input=2089, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10446","layer":1},{"info":"compute binary expreesion, left_input=-819, right_input=10446, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=11265","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍793)⨳⩥⨓(⪎⋱⫍1571⨸⪁⪎⋱⫍C49)=⪎⋱⫍5187","reverse_text":"⪎⋱⫍5187=(≤/⪎⋱⫍793)⨳⩥⨓(⪎⋱⫍1571⨸⪁⪎⋱⫍C49)","cot":[{"info":"≤/⪎⋱⫍793=⪎⋱⫍-4B0","layer":1},{"info":"⪎⋱⫍1571⨸⪁⪎⋱⫍C49=⪎⋱⫍49A7","layer":1},{"info":"⪎⋱⫍-4B0⨳⩥⨓⪎⋱⫍49A7=⪎⋱⫍5187","layer":0}]}
{"id":529,"expression_no_base_symbol":"≤/$3671$⫥∨⫟$3536$","expression":"≤/⪎⋱⫍1895⫥∨⫟⪎⋱⫍17C0","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":155,"operation_count":2,"complexity_ratio":77.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3671,"base":13},"right_expr":{"type":"numeric_atoms","value":3536,"base":13}}},"used_operators":["eLAdDNolq6","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3671","layer":2},{"info":"number node, value=3536","layer":2},{"info":"compute binary expreesion, left_input=3671, right_input=3536, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/⪎⋱⫍1895⫥∨⫟⪎⋱⫍17C0=NaN","reverse_text":"NaN=≤/⪎⋱⫍1895⫥∨⫟⪎⋱⫍17C0","cot":[{"info":"⪎⋱⫍1895⫥∨⫟⪎⋱⫍17C0=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"(⊄⩳↩$2277$)↺$5419$↬$2326$","expression":"(⊄⩳↩⪎⋱⫍1062)↺⪎⋱⫍260B↬⪎⋱⫍109C","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2277,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5419,"base":13},"right_expr":{"type":"numeric_atoms","value":2326,"base":13}}},"used_operators":["7j4O788W3g","8w2t5hMYqp","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":2},{"info":"compute unary expreesion, input=2277, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6831","layer":1},{"info":"number node, value=5419","layer":2},{"info":"number node, value=2326","layer":2},{"info":"compute binary expreesion, left_input=5419, right_input=2326, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-6831, 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":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍1062)↺⪎⋱⫍260B↬⪎⋱⫍109C=NaN","reverse_text":"NaN=(⊄⩳↩⪎⋱⫍1062)↺⪎⋱⫍260B↬⪎⋱⫍109C","cot":[{"info":"⊄⩳↩⪎⋱⫍1062=⪎⋱⫍-3156","layer":1},{"info":"⪎⋱⫍260B↬⪎⋱⫍109C=NaN","layer":1},{"info":"⪎⋱⫍-3156↺NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"⊄⩳↩$6444$≹⇙⪍$1380$","expression":"⊄⩳↩⪎⋱⫍2C19≹⇙⪍⪎⋱⫍822","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6444,"base":13},"right_expr":{"type":"numeric_atoms","value":1380,"base":13}}},"used_operators":["8w2t5hMYqp","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6444","layer":2},{"info":"number node, value=1380","layer":2},{"info":"compute binary expreesion, left_input=6444, right_input=1380, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩⪎⋱⫍2C19≹⇙⪍⪎⋱⫍822=NaN","reverse_text":"NaN=⊄⩳↩⪎⋱⫍2C19≹⇙⪍⪎⋱⫍822","cot":[{"info":"⪎⋱⫍2C19≹⇙⪍⪎⋱⫍822=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"($1155$/$3857$)⨟⋌⩍($1642$⋥≓≎$4590$)","expression":"(⪎⋱⫍6AB/⪎⋱⫍19A9)⨟⋌⩍(⪎⋱⫍994⋥≓≎⪎⋱⫍2121)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1155,"base":13},"right_expr":{"type":"numeric_atoms","value":3857,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1642,"base":13},"right_expr":{"type":"numeric_atoms","value":4590,"base":13}}},"used_operators":["rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1155","layer":2},{"info":"number node, value=3857","layer":2},{"info":"compute binary expreesion, left_input=1155, right_input=3857, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1642","layer":2},{"info":"number node, value=4590","layer":2},{"info":"compute binary expreesion, left_input=1642, right_input=4590, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7571","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7571, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍6AB/⪎⋱⫍19A9)⨟⋌⩍(⪎⋱⫍994⋥≓≎⪎⋱⫍2121)=NaN","reverse_text":"NaN=(⪎⋱⫍6AB/⪎⋱⫍19A9)⨟⋌⩍(⪎⋱⫍994⋥≓≎⪎⋱⫍2121)","cot":[{"info":"⪎⋱⫍6AB/⪎⋱⫍19A9=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍994⋥≓≎⪎⋱⫍2121=⪎⋱⫍35A5","layer":1},{"info":"⪎⋱⫍0⨟⋌⩍⪎⋱⫍35A5=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"$1153$+⇶⊼$2715$⨐⩸⫘$3886$∑⇟⊟$3118$","expression":"⪎⋱⫍6A9+⇶⊼⪎⋱⫍130B⨐⩸⫘⪎⋱⫍19CC∑⇟⊟⪎⋱⫍155B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1153,"base":13},"right_expr":{"type":"numeric_atoms","value":2715,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3886,"base":13},"right_expr":{"type":"numeric_atoms","value":3118,"base":13}}},"used_operators":["fu6greOZ01","TpPTUOHfaN","U7g4x0WXJJ"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=2715, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3886","layer":2},{"info":"number node, value=3118","layer":2},{"info":"compute binary expreesion, left_input=3886, right_input=3118, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍6A9+⇶⊼⪎⋱⫍130B⨐⩸⫘⪎⋱⫍19CC∑⇟⊟⪎⋱⫍155B=NaN","reverse_text":"NaN=⪎⋱⫍6A9+⇶⊼⪎⋱⫍130B⨐⩸⫘⪎⋱⫍19CC∑⇟⊟⪎⋱⫍155B","cot":[{"info":"⪎⋱⫍6A9+⇶⊼⪎⋱⫍130B=NaN","layer":1},{"info":"⪎⋱⫍19CC∑⇟⊟⪎⋱⫍155B=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"$4808$≎⊠⪸$1578$⨵⪆$6622$≭$1783$","expression":"⪎⋱⫍225B≎⊠⪸⪎⋱⫍945⨵⪆⪎⋱⫍3025≭⪎⋱⫍A72","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4808,"base":13},"right_expr":{"type":"numeric_atoms","value":1578,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6622,"base":13},"right_expr":{"type":"numeric_atoms","value":1783,"base":13}}},"used_operators":["2DQ55sFlQl","bJkvcejdHO","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4808","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=4808, right_input=1578, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1244799","layer":1},{"info":"number node, value=6622","layer":2},{"info":"number node, value=1783","layer":2},{"info":"compute binary expreesion, left_input=6622, right_input=1783, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1244799, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍225B≎⊠⪸⪎⋱⫍945⨵⪆⪎⋱⫍3025≭⪎⋱⫍A72=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍225B≎⊠⪸⪎⋱⫍945⨵⪆⪎⋱⫍3025≭⪎⋱⫍A72","cot":[{"info":"⪎⋱⫍225B≎⊠⪸⪎⋱⫍945=⪎⋱⫍34778A","layer":1},{"info":"⪎⋱⫍3025≭⪎⋱⫍A72=NaN","layer":1},{"info":"⪎⋱⫍34778A⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":535,"expression_no_base_symbol":"$1004$≭$4413$⨐⩸⫘$3882$∀⇚≩$5604$","expression":"⪎⋱⫍5C3≭⪎⋱⫍2016⨐⩸⫘⪎⋱⫍19C8∀⇚≩⪎⋱⫍2721","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27176,"operation_count":3,"complexity_ratio":9058.666666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":4413,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3882,"base":13},"right_expr":{"type":"numeric_atoms","value":5604,"base":13}}},"used_operators":["fu6greOZ01","rxpJgHHUmx","LRNGc0VcxI"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=4413","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=4413, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3882","layer":2},{"info":"number node, value=5604","layer":2},{"info":"compute binary expreesion, left_input=3882, right_input=5604, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍5C3≭⪎⋱⫍2016⨐⩸⫘⪎⋱⫍19C8∀⇚≩⪎⋱⫍2721=NaN","reverse_text":"NaN=⪎⋱⫍5C3≭⪎⋱⫍2016⨐⩸⫘⪎⋱⫍19C8∀⇚≩⪎⋱⫍2721","cot":[{"info":"⪎⋱⫍5C3≭⪎⋱⫍2016=NaN","layer":1},{"info":"⪎⋱⫍19C8∀⇚≩⪎⋱⫍2721=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"($1154$⨳⩥⨓$3578$)+⇶⊼$1312$⪘⫢$3647$","expression":"(⪎⋱⫍6AA⨳⩥⨓⪎⋱⫍1823)+⇶⊼⪎⋱⫍79C⪘⫢⪎⋱⫍1877","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1154,"base":13},"right_expr":{"type":"numeric_atoms","value":3578,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1312,"base":13},"right_expr":{"type":"numeric_atoms","value":3647,"base":13}}},"used_operators":["TpPTUOHfaN","nCS4ZIUYfx","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1154","layer":2},{"info":"number node, value=3578","layer":2},{"info":"compute binary expreesion, left_input=1154, right_input=3578, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2424","layer":1},{"info":"number node, value=1312","layer":2},{"info":"number node, value=3647","layer":2},{"info":"compute binary expreesion, left_input=1312, right_input=3647, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2500","layer":1},{"info":"compute binary expreesion, left_input=2424, right_input=2500, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍6AA⨳⩥⨓⪎⋱⫍1823)+⇶⊼⪎⋱⫍79C⪘⫢⪎⋱⫍1877=NaN","reverse_text":"NaN=(⪎⋱⫍6AA⨳⩥⨓⪎⋱⫍1823)+⇶⊼⪎⋱⫍79C⪘⫢⪎⋱⫍1877","cot":[{"info":"⪎⋱⫍6AA⨳⩥⨓⪎⋱⫍1823=⪎⋱⫍1146","layer":1},{"info":"⪎⋱⫍79C⪘⫢⪎⋱⫍1877=⪎⋱⫍11A4","layer":1},{"info":"⪎⋱⫍1146+⇶⊼⪎⋱⫍11A4=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"($3414$⨰$1350$)⨪↰⇹(↔$1108$)","expression":"(⪎⋱⫍1728⨰⪎⋱⫍7CB)⨪↰⇹(↔⪎⋱⫍673)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2087,"operation_count":3,"complexity_ratio":695.6666666666666,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3414,"base":13},"right_expr":{"type":"numeric_atoms","value":1350,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1108,"base":13}}},"used_operators":["tmPS8pqC7x","eewbuw0ToL","ruOEQAzv1W"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍C37","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3414","layer":2},{"info":"number node, value=1350","layer":2},{"info":"compute binary expreesion, left_input=3414, right_input=1350, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2074","layer":1},{"info":"number node, value=1108","layer":2},{"info":"compute unary expreesion, input=1108, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-835","layer":1},{"info":"compute binary expreesion, left_input=2074, right_input=-835, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2074","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1728⨰⪎⋱⫍7CB)⨪↰⇹(↔⪎⋱⫍673)=⪎⋱⫍C37","reverse_text":"⪎⋱⫍C37=(⪎⋱⫍1728⨰⪎⋱⫍7CB)⨪↰⇹(↔⪎⋱⫍673)","cot":[{"info":"⪎⋱⫍1728⨰⪎⋱⫍7CB=⪎⋱⫍C37","layer":1},{"info":"↔⪎⋱⫍673=⪎⋱⫍-4C3","layer":1},{"info":"⪎⋱⫍C37⨪↰⇹⪎⋱⫍-4C3=⪎⋱⫍C37","layer":0}]}
{"id":538,"expression_no_base_symbol":"($2702$⨳⩥⨓$1612$)⪘⫢($4166$⨐⩸⫘$1421$)","expression":"(⪎⋱⫍12CB⨳⩥⨓⪎⋱⫍970)⪘⫢(⪎⋱⫍1B86⨐⩸⫘⪎⋱⫍854)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2702,"base":13},"right_expr":{"type":"numeric_atoms","value":1612,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4166,"base":13},"right_expr":{"type":"numeric_atoms","value":1421,"base":13}}},"used_operators":["oacrs7FA3X","nCS4ZIUYfx","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2702","layer":2},{"info":"number node, value=1612","layer":2},{"info":"compute binary expreesion, left_input=2702, right_input=1612, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1090","layer":1},{"info":"number node, value=4166","layer":2},{"info":"number node, value=1421","layer":2},{"info":"compute binary expreesion, left_input=4166, right_input=1421, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-1090, 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":13,"result_base":13,"text":"(⪎⋱⫍12CB⨳⩥⨓⪎⋱⫍970)⪘⫢(⪎⋱⫍1B86⨐⩸⫘⪎⋱⫍854)=NaN","reverse_text":"NaN=(⪎⋱⫍12CB⨳⩥⨓⪎⋱⫍970)⪘⫢(⪎⋱⫍1B86⨐⩸⫘⪎⋱⫍854)","cot":[{"info":"⪎⋱⫍12CB⨳⩥⨓⪎⋱⫍970=⪎⋱⫍-65B","layer":1},{"info":"⪎⋱⫍1B86⨐⩸⫘⪎⋱⫍854=NaN","layer":1},{"info":"⪎⋱⫍-65B⪘⫢NaN=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"($2763$/$1516$)⩚⊴⇥(⩦⩻⨪$1707$)","expression":"(⪎⋱⫍1347/⪎⋱⫍8C8)⩚⊴⇥(⩦⩻⨪⪎⋱⫍A14)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2763,"base":13},"right_expr":{"type":"numeric_atoms","value":1516,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1707,"base":13}}},"used_operators":["NTOWxs364D","XhwjNDsVaA","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-AA9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2763","layer":2},{"info":"number node, value=1516","layer":2},{"info":"compute binary expreesion, left_input=2763, right_input=1516, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1707","layer":2},{"info":"compute unary expreesion, input=1707, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1707","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=1707, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1829","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1347/⪎⋱⫍8C8)⩚⊴⇥(⩦⩻⨪⪎⋱⫍A14)=⪎⋱⫍-AA9","reverse_text":"⪎⋱⫍-AA9=(⪎⋱⫍1347/⪎⋱⫍8C8)⩚⊴⇥(⩦⩻⨪⪎⋱⫍A14)","cot":[{"info":"⪎⋱⫍1347/⪎⋱⫍8C8=⪎⋱⫍1","layer":1},{"info":"⩦⩻⨪⪎⋱⫍A14=⪎⋱⫍A14","layer":1},{"info":"⪎⋱⫍1⩚⊴⇥⪎⋱⫍A14=⪎⋱⫍-AA9","layer":0}]}
{"id":540,"expression_no_base_symbol":"($7291$+⇶⊼$6158$)⪘⫢$3440$⪢$4576$","expression":"(⪎⋱⫍341B+⇶⊼⪎⋱⫍2A59)⪘⫢⪎⋱⫍1748⪢⪎⋱⫍2110","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4586,"operation_count":3,"complexity_ratio":1528.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7291,"base":13},"right_expr":{"type":"numeric_atoms","value":6158,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3440,"base":13},"right_expr":{"type":"numeric_atoms","value":4576,"base":13}}},"used_operators":["oacrs7FA3X","TpPTUOHfaN","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7291","layer":2},{"info":"number node, value=6158","layer":2},{"info":"compute binary expreesion, left_input=7291, right_input=6158, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3440","layer":2},{"info":"number node, value=4576","layer":2},{"info":"compute binary expreesion, left_input=3440, right_input=4576, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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":13,"result_base":13,"text":"(⪎⋱⫍341B+⇶⊼⪎⋱⫍2A59)⪘⫢⪎⋱⫍1748⪢⪎⋱⫍2110=NaN","reverse_text":"NaN=(⪎⋱⫍341B+⇶⊼⪎⋱⫍2A59)⪘⫢⪎⋱⫍1748⪢⪎⋱⫍2110","cot":[{"info":"⪎⋱⫍341B+⇶⊼⪎⋱⫍2A59=NaN","layer":1},{"info":"⪎⋱⫍1748⪢⪎⋱⫍2110=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"(+⊝⨔$1099$)⨎$1428$⨓$2864$","expression":"(+⊝⨔⪎⋱⫍667)⨎⪎⋱⫍85B⨓⪎⋱⫍13C4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2911,"operation_count":3,"complexity_ratio":970.3333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1099,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1428,"base":13},"right_expr":{"type":"numeric_atoms","value":2864,"base":13}}},"used_operators":["rJVOvQCfKK","DhbWaqg5eL","3ViojmjbAp"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-13C7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"compute unary expreesion, input=1099, 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=1428","layer":2},{"info":"number node, value=2864","layer":2},{"info":"compute binary expreesion, left_input=1428, right_input=2864, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2867","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-2867, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-2867","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍667)⨎⪎⋱⫍85B⨓⪎⋱⫍13C4=⪎⋱⫍-13C7","reverse_text":"⪎⋱⫍-13C7=(+⊝⨔⪎⋱⫍667)⨎⪎⋱⫍85B⨓⪎⋱⫍13C4","cot":[{"info":"+⊝⨔⪎⋱⫍667=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍85B⨓⪎⋱⫍13C4=⪎⋱⫍-13C7","layer":1},{"info":"⪎⋱⫍901⨎⪎⋱⫍-13C7=⪎⋱⫍-13C7","layer":0}]}
{"id":542,"expression_no_base_symbol":"$1597$≎⊠⪸$2087$⨸⪁(∂$7054$)","expression":"⪎⋱⫍95B≎⊠⪸⪎⋱⫍C47⨸⪁(∂⪎⋱⫍3298)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1597,"base":13},"right_expr":{"type":"numeric_atoms","value":2087,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7054,"base":13}}},"used_operators":["g55IO6H4Gj","bJkvcejdHO","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":2},{"info":"number node, value=2087","layer":2},{"info":"compute binary expreesion, left_input=1597, right_input=2087, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=413150","layer":1},{"info":"number node, value=7054","layer":2},{"info":"compute unary expreesion, input=7054, 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=413150, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍95B≎⊠⪸⪎⋱⫍C47⨸⪁(∂⪎⋱⫍3298)=NaN","reverse_text":"NaN=⪎⋱⫍95B≎⊠⪸⪎⋱⫍C47⨸⪁(∂⪎⋱⫍3298)","cot":[{"info":"⪎⋱⫍95B≎⊠⪸⪎⋱⫍C47=⪎⋱⫍11608A","layer":1},{"info":"∂⪎⋱⫍3298=NaN","layer":1},{"info":"⪎⋱⫍11608A⨸⪁NaN=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"$1564$⪘⫢$3359$⫥∨⫟($1198$⨳⩥⨓$2020$)","expression":"⪎⋱⫍934⪘⫢⪎⋱⫍16B5⫥∨⫟(⪎⋱⫍712⨳⩥⨓⪎⋱⫍BC5)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":172,"operation_count":3,"complexity_ratio":57.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1564,"base":13},"right_expr":{"type":"numeric_atoms","value":3359,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1198,"base":13},"right_expr":{"type":"numeric_atoms","value":2020,"base":13}}},"used_operators":["KYD54nUTWz","oacrs7FA3X","nCS4ZIUYfx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1564","layer":2},{"info":"number node, value=3359","layer":2},{"info":"compute binary expreesion, left_input=1564, right_input=3359, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3004","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=2020","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=2020, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=822","layer":1},{"info":"compute binary expreesion, left_input=3004, right_input=822, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍934⪘⫢⪎⋱⫍16B5⫥∨⫟(⪎⋱⫍712⨳⩥⨓⪎⋱⫍BC5)=NaN","reverse_text":"NaN=⪎⋱⫍934⪘⫢⪎⋱⫍16B5⫥∨⫟(⪎⋱⫍712⨳⩥⨓⪎⋱⫍BC5)","cot":[{"info":"⪎⋱⫍934⪘⫢⪎⋱⫍16B5=⪎⋱⫍14A1","layer":1},{"info":"⪎⋱⫍712⨳⩥⨓⪎⋱⫍BC5=⪎⋱⫍4B3","layer":1},{"info":"⪎⋱⫍14A1⫥∨⫟⪎⋱⫍4B3=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"⨰⫟⨤($5556$⋓$2691$)","expression":"⨰⫟⨤(⪎⋱⫍26B5⋓⪎⋱⫍12C0)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":907,"operation_count":2,"complexity_ratio":453.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5556,"base":13},"right_expr":{"type":"numeric_atoms","value":2691,"base":13}}},"used_operators":["Tw270M8GLb","T2fj7uvVaJ"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍C13BA5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5556","layer":2},{"info":"number node, value=2691","layer":2},{"info":"compute binary expreesion, left_input=5556, right_input=2691, op_id = T2fj7uvVaJ binary_op_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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍26B5⋓⪎⋱⫍12C0)=⪎⋱⫍C13BA5","reverse_text":"⪎⋱⫍C13BA5=⨰⫟⨤(⪎⋱⫍26B5⋓⪎⋱⫍12C0)","cot":[{"info":"⪎⋱⫍26B5⋓⪎⋱⫍12C0=⪎⋱⫍0","layer":1},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":0}]}
{"id":545,"expression_no_base_symbol":"($7013$⪒$2837$)⨰$1406$↬$2617$","expression":"(⪎⋱⫍3266⪒⪎⋱⫍13A3)⨰⪎⋱⫍842↬⪎⋱⫍1264","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7013,"base":13},"right_expr":{"type":"numeric_atoms","value":2837,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1406,"base":13},"right_expr":{"type":"numeric_atoms","value":2617,"base":13}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7013","layer":2},{"info":"number node, value=2837","layer":2},{"info":"compute binary expreesion, left_input=7013, right_input=2837, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9850","layer":1},{"info":"number node, value=1406","layer":2},{"info":"number node, value=2617","layer":2},{"info":"compute binary expreesion, left_input=1406, right_input=2617, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-9850, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3266⪒⪎⋱⫍13A3)⨰⪎⋱⫍842↬⪎⋱⫍1264=NaN","reverse_text":"NaN=(⪎⋱⫍3266⪒⪎⋱⫍13A3)⨰⪎⋱⫍842↬⪎⋱⫍1264","cot":[{"info":"⪎⋱⫍3266⪒⪎⋱⫍13A3=⪎⋱⫍-4639","layer":1},{"info":"⪎⋱⫍842↬⪎⋱⫍1264=NaN","layer":1},{"info":"⪎⋱⫍-4639⨰NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"$1147$↙$4011$+$6896$⫥∨⫟$5233$","expression":"⪎⋱⫍6A3↙⪎⋱⫍1A97+⪎⋱⫍31A6⫥∨⫟⪎⋱⫍24C7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4169,"operation_count":3,"complexity_ratio":1389.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1147,"base":13},"right_expr":{"type":"numeric_atoms","value":4011,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6896,"base":13},"right_expr":{"type":"numeric_atoms","value":5233,"base":13}}},"used_operators":["W4YGzv6Whe","yyfyN0ffXY","KYD54nUTWz"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"number node, value=4011","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=4011, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12033","layer":1},{"info":"number node, value=6896","layer":2},{"info":"number node, value=5233","layer":2},{"info":"compute binary expreesion, left_input=6896, right_input=5233, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12033, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍6A3↙⪎⋱⫍1A97+⪎⋱⫍31A6⫥∨⫟⪎⋱⫍24C7=NaN","reverse_text":"NaN=⪎⋱⫍6A3↙⪎⋱⫍1A97+⪎⋱⫍31A6⫥∨⫟⪎⋱⫍24C7","cot":[{"info":"⪎⋱⫍6A3↙⪎⋱⫍1A97=⪎⋱⫍-5628","layer":1},{"info":"⪎⋱⫍31A6⫥∨⫟⪎⋱⫍24C7=NaN","layer":1},{"info":"⪎⋱⫍-5628+NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"$4927$⪄$7117$%(⊄⩳↩$2331$)","expression":"⪎⋱⫍2320⪄⪎⋱⫍3316%(⊄⩳↩⪎⋱⫍10A4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4927,"base":13},"right_expr":{"type":"numeric_atoms","value":7117,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2331,"base":13}}},"used_operators":["k8jYdgA6NY","SUmda5xLS4","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-2673","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4927","layer":2},{"info":"number node, value=7117","layer":2},{"info":"compute binary expreesion, left_input=4927, right_input=7117, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-753753","layer":1},{"info":"number node, value=2331","layer":2},{"info":"compute unary expreesion, input=2331, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6993","layer":1},{"info":"compute binary expreesion, left_input=-753753, right_input=-6993, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-5502","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2320⪄⪎⋱⫍3316%(⊄⩳↩⪎⋱⫍10A4)=⪎⋱⫍-2673","reverse_text":"⪎⋱⫍-2673=⪎⋱⫍2320⪄⪎⋱⫍3316%(⊄⩳↩⪎⋱⫍10A4)","cot":[{"info":"⪎⋱⫍2320⪄⪎⋱⫍3316=⪎⋱⫍-205110","layer":1},{"info":"⊄⩳↩⪎⋱⫍10A4=⪎⋱⫍-324C","layer":1},{"info":"⪎⋱⫍-205110%⪎⋱⫍-324C=⪎⋱⫍-2673","layer":0}]}
{"id":548,"expression_no_base_symbol":"($1013$⊦⊿)⋥≓≎(-$5953$)","expression":"(⪎⋱⫍5CC⊦⊿)⋥≓≎(-⪎⋱⫍292C)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1013,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5953,"base":13}}},"used_operators":["Qy55tPpLXF","14qkJME0vr","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"compute unary expreesion, input=1013, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3118","layer":1},{"info":"number node, value=5953","layer":2},{"info":"compute unary expreesion, input=5953, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5953","layer":1},{"info":"compute binary expreesion, left_input=-3118, right_input=-5953, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5CC⊦⊿)⋥≓≎(-⪎⋱⫍292C)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍5CC⊦⊿)⋥≓≎(-⪎⋱⫍292C)","cot":[{"info":"⪎⋱⫍5CC⊦⊿=⪎⋱⫍-155B","layer":1},{"info":"-⪎⋱⫍292C=⪎⋱⫍-292C","layer":1},{"info":"⪎⋱⫍-155B⋥≓≎⪎⋱⫍-292C=⪎⋱⫍52","layer":0}]}
{"id":549,"expression_no_base_symbol":"$5456$⪛$3415$⪘⫢($1171$⪒$4278$)","expression":"⪎⋱⫍2639⪛⪎⋱⫍1729⪘⫢(⪎⋱⫍6C1⪒⪎⋱⫍1C41)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5456,"base":13},"right_expr":{"type":"numeric_atoms","value":3415,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1171,"base":13},"right_expr":{"type":"numeric_atoms","value":4278,"base":13}}},"used_operators":["oacrs7FA3X","uFcxV4UQCh","f6k1SAg4EE"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5456","layer":2},{"info":"number node, value=3415","layer":2},{"info":"compute binary expreesion, left_input=5456, right_input=3415, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2041","layer":1},{"info":"number node, value=1171","layer":2},{"info":"number node, value=4278","layer":2},{"info":"compute binary expreesion, left_input=1171, right_input=4278, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5449","layer":1},{"info":"compute binary expreesion, left_input=2041, right_input=-5449, 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":13,"result_base":13,"text":"⪎⋱⫍2639⪛⪎⋱⫍1729⪘⫢(⪎⋱⫍6C1⪒⪎⋱⫍1C41)=⪎⋱⫍1","reverse_text":"⪎⋱⫍1=⪎⋱⫍2639⪛⪎⋱⫍1729⪘⫢(⪎⋱⫍6C1⪒⪎⋱⫍1C41)","cot":[{"info":"⪎⋱⫍2639⪛⪎⋱⫍1729=⪎⋱⫍C10","layer":1},{"info":"⪎⋱⫍6C1⪒⪎⋱⫍1C41=⪎⋱⫍-2632","layer":1},{"info":"⪎⋱⫍C10⪘⫢⪎⋱⫍-2632=⪎⋱⫍1","layer":0}]}
{"id":550,"expression_no_base_symbol":"$1282$⨵⪆$4418$⨵⪆($1010$⋷$3489$)","expression":"⪎⋱⫍778⨵⪆⪎⋱⫍201B⨵⪆(⪎⋱⫍5C9⋷⪎⋱⫍1785)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1282,"base":13},"right_expr":{"type":"numeric_atoms","value":4418,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":3489,"base":13}}},"used_operators":["2DQ55sFlQl","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1282","layer":2},{"info":"number node, value=4418","layer":2},{"info":"compute binary expreesion, left_input=1282, right_input=4418, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1010","layer":2},{"info":"number node, value=3489","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=3489, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5968","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5968, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍778⨵⪆⪎⋱⫍201B⨵⪆(⪎⋱⫍5C9⋷⪎⋱⫍1785)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍778⨵⪆⪎⋱⫍201B⨵⪆(⪎⋱⫍5C9⋷⪎⋱⫍1785)","cot":[{"info":"⪎⋱⫍778⨵⪆⪎⋱⫍201B=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍5C9⋷⪎⋱⫍1785=⪎⋱⫍2941","layer":1},{"info":"⪎⋱⫍C4⨵⪆⪎⋱⫍2941=⪎⋱⫍C4","layer":0}]}
{"id":551,"expression_no_base_symbol":"$9415$≹⇙⪍$6078$⪨≂$1049$≭$1140$","expression":"⪎⋱⫍4393≹⇙⪍⪎⋱⫍29C7⪨≂⪎⋱⫍629≭⪎⋱⫍699","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":9415,"base":13},"right_expr":{"type":"numeric_atoms","value":6078,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":1140,"base":13}}},"used_operators":["sdazOOVcIp","AHs5Up7iyr","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9415","layer":2},{"info":"number node, value=6078","layer":2},{"info":"compute binary expreesion, left_input=9415, right_input=6078, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1049","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=1140, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":13,"result_base":13,"text":"⪎⋱⫍4393≹⇙⪍⪎⋱⫍29C7⪨≂⪎⋱⫍629≭⪎⋱⫍699=NaN","reverse_text":"NaN=⪎⋱⫍4393≹⇙⪍⪎⋱⫍29C7⪨≂⪎⋱⫍629≭⪎⋱⫍699","cot":[{"info":"⪎⋱⫍4393≹⇙⪍⪎⋱⫍29C7=NaN","layer":1},{"info":"⪎⋱⫍629≭⪎⋱⫍699=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":552,"expression_no_base_symbol":"($3914$⊉≛↸$2433$)⨁⊸⫻","expression":"(⪎⋱⫍1A21⊉≛↸⪎⋱⫍1152)⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3914,"base":13},"right_expr":{"type":"numeric_atoms","value":2433,"base":13}}},"used_operators":["glklzrTFfD","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3742","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3914","layer":2},{"info":"number node, value=2433","layer":2},{"info":"compute binary expreesion, left_input=3914, right_input=2433, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7828","layer":1},{"info":"compute unary expreesion, input=7828, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7828","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1A21⊉≛↸⪎⋱⫍1152)⨁⊸⫻=⪎⋱⫍3742","reverse_text":"⪎⋱⫍3742=(⪎⋱⫍1A21⊉≛↸⪎⋱⫍1152)⨁⊸⫻","cot":[{"info":"⪎⋱⫍1A21⊉≛↸⪎⋱⫍1152=⪎⋱⫍3742","layer":1},{"info":"⪎⋱⫍3742⨁⊸⫻=⪎⋱⫍3742","layer":0}]}
{"id":553,"expression_no_base_symbol":"↩(-$3987$)","expression":"↩(-⪎⋱⫍1A79)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3987,"base":13}}},"used_operators":["jLgFTUHLKL","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍85B4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3987","layer":2},{"info":"compute unary expreesion, input=3987, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3987","layer":1},{"info":"compute unary expreesion, input=-3987, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=18568","layer":0}],"base":13,"result_base":13,"text":"↩(-⪎⋱⫍1A79)=⪎⋱⫍85B4","reverse_text":"⪎⋱⫍85B4=↩(-⪎⋱⫍1A79)","cot":[{"info":"-⪎⋱⫍1A79=⪎⋱⫍-1A79","layer":1},{"info":"↩⪎⋱⫍-1A79=⪎⋱⫍85B4","layer":0}]}
{"id":554,"expression_no_base_symbol":"$1050$∑⇟⊟$5961$⫩⊇","expression":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍2937⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1050,"base":13},"right_expr":{"type":"numeric_atoms","value":5961,"base":13}}},"used_operators":["BjRHVeLaeN","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1050","layer":2},{"info":"number node, value=5961","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=5961, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍2937⫩⊇=NaN","reverse_text":"NaN=⪎⋱⫍62A∑⇟⊟⪎⋱⫍2937⫩⊇","cot":[{"info":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍2937=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"($1312$∲⫓$5149$)⩨(+⊝⨔$3500$)","expression":"(⪎⋱⫍79C∲⫓⪎⋱⫍2461)⩨(+⊝⨔⪎⋱⫍1793)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1312,"base":13},"right_expr":{"type":"numeric_atoms","value":5149,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3500,"base":13}}},"used_operators":["2DlMacCsIx","i8ToyICDmI","DhbWaqg5eL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1312","layer":2},{"info":"number node, value=5149","layer":2},{"info":"compute binary expreesion, left_input=1312, right_input=5149, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3500","layer":2},{"info":"compute unary expreesion, input=3500, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍79C∲⫓⪎⋱⫍2461)⩨(+⊝⨔⪎⋱⫍1793)=NaN","reverse_text":"NaN=(⪎⋱⫍79C∲⫓⪎⋱⫍2461)⩨(+⊝⨔⪎⋱⫍1793)","cot":[{"info":"⪎⋱⫍79C∲⫓⪎⋱⫍2461=⪎⋱⫍0","layer":1},{"info":"+⊝⨔⪎⋱⫍1793=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍0⩨⪎⋱⫍901=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(⊄⩳↩$3217$)∲⫓$6570$↙$3268$","expression":"(⊄⩳↩⪎⋱⫍1606)∲⫓⪎⋱⫍2CB5↙⪎⋱⫍1645","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3275,"operation_count":3,"complexity_ratio":1091.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3217,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6570,"base":13},"right_expr":{"type":"numeric_atoms","value":3268,"base":13}}},"used_operators":["i8ToyICDmI","8w2t5hMYqp","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-4515","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3217","layer":2},{"info":"compute unary expreesion, input=3217, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9651","layer":1},{"info":"number node, value=6570","layer":2},{"info":"number node, value=3268","layer":2},{"info":"compute binary expreesion, left_input=6570, right_input=3268, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9804","layer":1},{"info":"compute binary expreesion, left_input=-9651, right_input=-9804, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-9651","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍1606)∲⫓⪎⋱⫍2CB5↙⪎⋱⫍1645=⪎⋱⫍-4515","reverse_text":"⪎⋱⫍-4515=(⊄⩳↩⪎⋱⫍1606)∲⫓⪎⋱⫍2CB5↙⪎⋱⫍1645","cot":[{"info":"⊄⩳↩⪎⋱⫍1606=⪎⋱⫍-4515","layer":1},{"info":"⪎⋱⫍2CB5↙⪎⋱⫍1645=⪎⋱⫍-4602","layer":1},{"info":"⪎⋱⫍-4515∲⫓⪎⋱⫍-4602=⪎⋱⫍-4515","layer":0}]}
{"id":557,"expression_no_base_symbol":"⇁⨣⪵($2534$⪨≂$2208$)","expression":"⇁⨣⪵(⪎⋱⫍11CC⪨≂⪎⋱⫍100B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2534,"base":13},"right_expr":{"type":"numeric_atoms","value":2208,"base":13}}},"used_operators":["inkyxCbjAn","sdazOOVcIp"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2534","layer":2},{"info":"number node, value=2208","layer":2},{"info":"compute binary expreesion, left_input=2534, right_input=2208, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=754","layer":1},{"info":"compute unary expreesion, input=754, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍11CC⪨≂⪎⋱⫍100B)=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍11CC⪨≂⪎⋱⫍100B)","cot":[{"info":"⪎⋱⫍11CC⪨≂⪎⋱⫍100B=⪎⋱⫍460","layer":1},{"info":"⇁⨣⪵⪎⋱⫍460=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"$5816$⪘⫢$2391$⩚⊴⇥(⨈⫕$3579$)","expression":"⪎⋱⫍2855⪘⫢⪎⋱⫍111C⩚⊴⇥(⨈⫕⪎⋱⫍1824)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":404,"operation_count":3,"complexity_ratio":134.66666666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5816,"base":13},"right_expr":{"type":"numeric_atoms","value":2391,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3579,"base":13}}},"used_operators":["NTOWxs364D","oacrs7FA3X","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍-538C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5816","layer":2},{"info":"number node, value=2391","layer":2},{"info":"compute binary expreesion, left_input=5816, right_input=2391, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11508","layer":1},{"info":"number node, value=3579","layer":2},{"info":"compute unary expreesion, input=3579, 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=11508, right_input=-21, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11608","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2855⪘⫢⪎⋱⫍111C⩚⊴⇥(⨈⫕⪎⋱⫍1824)=⪎⋱⫍-538C","reverse_text":"⪎⋱⫍-538C=⪎⋱⫍2855⪘⫢⪎⋱⫍111C⩚⊴⇥(⨈⫕⪎⋱⫍1824)","cot":[{"info":"⪎⋱⫍2855⪘⫢⪎⋱⫍111C=⪎⋱⫍5313","layer":1},{"info":"⨈⫕⪎⋱⫍1824=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍5313⩚⊴⇥⪎⋱⫍-18=⪎⋱⫍-538C","layer":0}]}
{"id":559,"expression_no_base_symbol":"($1332$⩤)⪘⫢($4606$∸)","expression":"(⪎⋱⫍7B6⩤)⪘⫢(⪎⋱⫍2134∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":187,"operation_count":3,"complexity_ratio":62.333333333333336,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1332,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4606,"base":13}}},"used_operators":["oacrs7FA3X","Z2TMIBDE3Q","o20kRiQErp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":2},{"info":"compute unary expreesion, input=1332, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1332","layer":1},{"info":"number node, value=4606","layer":2},{"info":"compute unary expreesion, input=4606, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-1332, right_input=177, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍7B6⩤)⪘⫢(⪎⋱⫍2134∸)=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⪎⋱⫍7B6⩤)⪘⫢(⪎⋱⫍2134∸)","cot":[{"info":"⪎⋱⫍7B6⩤=⪎⋱⫍-7B6","layer":1},{"info":"⪎⋱⫍2134∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍-7B6⪘⫢⪎⋱⫍108=⪎⋱⫍-1","layer":0}]}
{"id":560,"expression_no_base_symbol":"$1216$⩨$1587$↪⪝","expression":"⪎⋱⫍727⩨⪎⋱⫍951↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":113,"operation_count":2,"complexity_ratio":56.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1216,"base":13},"right_expr":{"type":"numeric_atoms","value":1587,"base":13}}},"used_operators":["l07mrZUIn9","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-6570C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":2},{"info":"number node, value=1587","layer":2},{"info":"compute binary expreesion, left_input=1216, right_input=1587, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-183546","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍727⩨⪎⋱⫍951↪⪝=⪎⋱⫍-6570C","reverse_text":"⪎⋱⫍-6570C=⪎⋱⫍727⩨⪎⋱⫍951↪⪝","cot":[{"info":"⪎⋱⫍727⩨⪎⋱⫍951=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍-3↪⪝=⪎⋱⫍-6570C","layer":0}]}
{"id":561,"expression_no_base_symbol":"$3093$⋓$1228$⋳⪒($3087$⨽$1637$)","expression":"⪎⋱⫍153C⋓⪎⋱⫍736⋳⪒(⪎⋱⫍1536⨽⪎⋱⫍98C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3116,"operation_count":3,"complexity_ratio":1038.6666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3093,"base":13},"right_expr":{"type":"numeric_atoms","value":1228,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3087,"base":13},"right_expr":{"type":"numeric_atoms","value":1637,"base":13}}},"used_operators":["12rbrZMWeM","T2fj7uvVaJ","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍5C0116C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":2},{"info":"number node, value=1228","layer":2},{"info":"compute binary expreesion, left_input=3093, right_input=1228, op_id = T2fj7uvVaJ binary_op_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=3087","layer":2},{"info":"number node, value=1637","layer":2},{"info":"compute binary expreesion, left_input=3087, right_input=1637, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28592304","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-28592304, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=28592017","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍153C⋓⪎⋱⫍736⋳⪒(⪎⋱⫍1536⨽⪎⋱⫍98C)=⪎⋱⫍5C0116C","reverse_text":"⪎⋱⫍5C0116C=⪎⋱⫍153C⋓⪎⋱⫍736⋳⪒(⪎⋱⫍1536⨽⪎⋱⫍98C)","cot":[{"info":"⪎⋱⫍153C⋓⪎⋱⫍736=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1536⨽⪎⋱⫍98C=⪎⋱⫍-5C01330","layer":1},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍-5C01330=⪎⋱⫍5C0116C","layer":0}]}
{"id":562,"expression_no_base_symbol":"$6547$∑⇟⊟$3229$⫸⊐$5101$∑⇟⊟$3311$","expression":"⪎⋱⫍2C98∑⇟⊟⪎⋱⫍1615⫸⊐⪎⋱⫍2425∑⇟⊟⪎⋱⫍1679","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6547,"base":13},"right_expr":{"type":"numeric_atoms","value":3229,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5101,"base":13},"right_expr":{"type":"numeric_atoms","value":3311,"base":13}}},"used_operators":["mqXw5SEYmG","U7g4x0WXJJ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6547","layer":2},{"info":"number node, value=3229","layer":2},{"info":"compute binary expreesion, left_input=6547, right_input=3229, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=5101","layer":2},{"info":"number node, value=3311","layer":2},{"info":"compute binary expreesion, left_input=5101, right_input=3311, 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":13,"result_base":13,"text":"⪎⋱⫍2C98∑⇟⊟⪎⋱⫍1615⫸⊐⪎⋱⫍2425∑⇟⊟⪎⋱⫍1679=NaN","reverse_text":"NaN=⪎⋱⫍2C98∑⇟⊟⪎⋱⫍1615⫸⊐⪎⋱⫍2425∑⇟⊟⪎⋱⫍1679","cot":[{"info":"⪎⋱⫍2C98∑⇟⊟⪎⋱⫍1615=NaN","layer":1},{"info":"⪎⋱⫍2425∑⇟⊟⪎⋱⫍1679=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"$1573$⋥≓≎$2049$⊠≄⫣","expression":"⪎⋱⫍940⋥≓≎⪎⋱⫍C18⊠≄⫣","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1573,"base":13},"right_expr":{"type":"numeric_atoms","value":2049,"base":13}}},"used_operators":["DIvbN7qnHd","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1573","layer":2},{"info":"number node, value=2049","layer":2},{"info":"compute binary expreesion, left_input=1573, right_input=2049, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2558","layer":1},{"info":"compute unary expreesion, input=2558, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍940⋥≓≎⪎⋱⫍C18⊠≄⫣=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍940⋥≓≎⪎⋱⫍C18⊠≄⫣","cot":[{"info":"⪎⋱⫍940⋥≓≎⪎⋱⫍C18=⪎⋱⫍121A","layer":1},{"info":"⪎⋱⫍121A⊠≄⫣=⪎⋱⫍0","layer":0}]}
{"id":564,"expression_no_base_symbol":"$3209$∀⇚≩$1073$≎⊠⪸$5180$∑⇟⊟$1009$","expression":"⪎⋱⫍15CB∀⇚≩⪎⋱⫍647≎⊠⪸⪎⋱⫍2486∑⇟⊟⪎⋱⫍5C8","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22475,"operation_count":3,"complexity_ratio":7491.666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3209,"base":13},"right_expr":{"type":"numeric_atoms","value":1073,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5180,"base":13},"right_expr":{"type":"numeric_atoms","value":1009,"base":13}}},"used_operators":["bJkvcejdHO","LRNGc0VcxI","U7g4x0WXJJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3209","layer":2},{"info":"number node, value=1073","layer":2},{"info":"compute binary expreesion, left_input=3209, right_input=1073, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5180","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=5180, right_input=1009, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍15CB∀⇚≩⪎⋱⫍647≎⊠⪸⪎⋱⫍2486∑⇟⊟⪎⋱⫍5C8=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍15CB∀⇚≩⪎⋱⫍647≎⊠⪸⪎⋱⫍2486∑⇟⊟⪎⋱⫍5C8","cot":[{"info":"⪎⋱⫍15CB∀⇚≩⪎⋱⫍647=NaN","layer":1},{"info":"⪎⋱⫍2486∑⇟⊟⪎⋱⫍5C8=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":565,"expression_no_base_symbol":"($2179$⋳⪒$1128$)+⇶⊼$3323$∑⇟⊟$3708$","expression":"(⪎⋱⫍CB8⋳⪒⪎⋱⫍68A)+⇶⊼⪎⋱⫍1688∑⇟⊟⪎⋱⫍18C3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2179,"base":13},"right_expr":{"type":"numeric_atoms","value":1128,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3323,"base":13},"right_expr":{"type":"numeric_atoms","value":3708,"base":13}}},"used_operators":["TpPTUOHfaN","12rbrZMWeM","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":2},{"info":"number node, value=1128","layer":2},{"info":"compute binary expreesion, left_input=2179, right_input=1128, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2943","layer":1},{"info":"number node, value=3323","layer":2},{"info":"number node, value=3708","layer":2},{"info":"compute binary expreesion, left_input=3323, right_input=3708, 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=2943, 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":13,"result_base":13,"text":"(⪎⋱⫍CB8⋳⪒⪎⋱⫍68A)+⇶⊼⪎⋱⫍1688∑⇟⊟⪎⋱⫍18C3=NaN","reverse_text":"NaN=(⪎⋱⫍CB8⋳⪒⪎⋱⫍68A)+⇶⊼⪎⋱⫍1688∑⇟⊟⪎⋱⫍18C3","cot":[{"info":"⪎⋱⫍CB8⋳⪒⪎⋱⫍68A=⪎⋱⫍1455","layer":1},{"info":"⪎⋱⫍1688∑⇟⊟⪎⋱⫍18C3=NaN","layer":1},{"info":"⪎⋱⫍1455+⇶⊼NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(⨰⫟⨤$1565$)*$2711$⨰$3668$","expression":"(⨰⫟⨤⪎⋱⫍935)*⪎⋱⫍1307⨰⪎⋱⫍1892","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5427,"operation_count":3,"complexity_ratio":1809.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1565,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2711,"base":13},"right_expr":{"type":"numeric_atoms","value":3668,"base":13}}},"used_operators":["9HNa5Wba9A","Tw270M8GLb","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1565","layer":2},{"info":"compute unary expreesion, input=1565, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2711","layer":2},{"info":"number node, value=3668","layer":2},{"info":"compute binary expreesion, left_input=2711, right_input=3668, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-947","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-947, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍935)*⪎⋱⫍1307⨰⪎⋱⫍1892=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍935)*⪎⋱⫍1307⨰⪎⋱⫍1892","cot":[{"info":"⨰⫟⨤⪎⋱⫍935=NaN","layer":1},{"info":"⪎⋱⫍1307⨰⪎⋱⫍1892=⪎⋱⫍-57B","layer":1},{"info":"NaN*⪎⋱⫍-57B=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"$1833$⪛$1377$/$4428$⪘⫢$4647$","expression":"⪎⋱⫍AB0⪛⪎⋱⫍81C/⪎⋱⫍2028⪘⫢⪎⋱⫍2166","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1833,"base":13},"right_expr":{"type":"numeric_atoms","value":1377,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4428,"base":13},"right_expr":{"type":"numeric_atoms","value":4647,"base":13}}},"used_operators":["XhwjNDsVaA","uFcxV4UQCh","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1833","layer":2},{"info":"number node, value=1377","layer":2},{"info":"compute binary expreesion, left_input=1833, right_input=1377, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=456","layer":1},{"info":"number node, value=4428","layer":2},{"info":"number node, value=4647","layer":2},{"info":"compute binary expreesion, left_input=4428, right_input=4647, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8732","layer":1},{"info":"compute binary expreesion, left_input=456, right_input=8732, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍AB0⪛⪎⋱⫍81C/⪎⋱⫍2028⪘⫢⪎⋱⫍2166=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍AB0⪛⪎⋱⫍81C/⪎⋱⫍2028⪘⫢⪎⋱⫍2166","cot":[{"info":"⪎⋱⫍AB0⪛⪎⋱⫍81C=⪎⋱⫍291","layer":1},{"info":"⪎⋱⫍2028⪘⫢⪎⋱⫍2166=⪎⋱⫍3C89","layer":1},{"info":"⪎⋱⫍291/⪎⋱⫍3C89=⪎⋱⫍0","layer":0}]}
{"id":568,"expression_no_base_symbol":"$4507$≹⇙⪍$3141$⊠≄⫣","expression":"⪎⋱⫍2089≹⇙⪍⪎⋱⫍1578⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4507,"base":13},"right_expr":{"type":"numeric_atoms","value":3141,"base":13}}},"used_operators":["DIvbN7qnHd","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4507","layer":2},{"info":"number node, value=3141","layer":2},{"info":"compute binary expreesion, left_input=4507, right_input=3141, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2089≹⇙⪍⪎⋱⫍1578⊠≄⫣=NaN","reverse_text":"NaN=⪎⋱⫍2089≹⇙⪍⪎⋱⫍1578⊠≄⫣","cot":[{"info":"⪎⋱⫍2089≹⇙⪍⪎⋱⫍1578=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"($2499$⋫)∑⇟⊟(⊙↵-$1480$)","expression":"(⪎⋱⫍11A3⋫)∑⇟⊟(⊙↵-⪎⋱⫍89B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6524,"operation_count":3,"complexity_ratio":2174.6666666666665,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2499,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1480,"base":13}}},"used_operators":["U7g4x0WXJJ","JL8yIekQnl","oWn0xqSxBt"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2499","layer":2},{"info":"compute unary expreesion, input=2499, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2499","layer":1},{"info":"number node, value=1480","layer":2},{"info":"compute unary expreesion, input=1480, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=2499, right_input=-1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍11A3⋫)∑⇟⊟(⊙↵-⪎⋱⫍89B)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍11A3⋫)∑⇟⊟(⊙↵-⪎⋱⫍89B)","cot":[{"info":"⪎⋱⫍11A3⋫=⪎⋱⫍11A3","layer":1},{"info":"⊙↵-⪎⋱⫍89B=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍11A3∑⇟⊟⪎⋱⫍-1=⪎⋱⫍0","layer":0}]}
{"id":570,"expression_no_base_symbol":"($1774$%$4240$)⪒$1530$⋥≓≎$3372$","expression":"(⪎⋱⫍A66%⪎⋱⫍1C12)⪒⪎⋱⫍909⋥≓≎⪎⋱⫍16C5","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1774,"base":13},"right_expr":{"type":"numeric_atoms","value":4240,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1530,"base":13},"right_expr":{"type":"numeric_atoms","value":3372,"base":13}}},"used_operators":["f6k1SAg4EE","k8jYdgA6NY","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-3271","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":2},{"info":"number node, value=4240","layer":2},{"info":"compute binary expreesion, left_input=1774, right_input=4240, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1774","layer":1},{"info":"number node, value=1530","layer":2},{"info":"number node, value=3372","layer":2},{"info":"compute binary expreesion, left_input=1530, right_input=3372, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5247","layer":1},{"info":"compute binary expreesion, left_input=1774, right_input=5247, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7021","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A66%⪎⋱⫍1C12)⪒⪎⋱⫍909⋥≓≎⪎⋱⫍16C5=⪎⋱⫍-3271","reverse_text":"⪎⋱⫍-3271=(⪎⋱⫍A66%⪎⋱⫍1C12)⪒⪎⋱⫍909⋥≓≎⪎⋱⫍16C5","cot":[{"info":"⪎⋱⫍A66%⪎⋱⫍1C12=⪎⋱⫍A66","layer":1},{"info":"⪎⋱⫍909⋥≓≎⪎⋱⫍16C5=⪎⋱⫍2508","layer":1},{"info":"⪎⋱⫍A66⪒⪎⋱⫍2508=⪎⋱⫍-3271","layer":0}]}
{"id":571,"expression_no_base_symbol":"($5685$∲⫓$2869$)⪒(∥⊫$2511$)","expression":"(⪎⋱⫍2784∲⫓⪎⋱⫍13C9)⪒(∥⊫⪎⋱⫍11B2)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5685,"base":13},"right_expr":{"type":"numeric_atoms","value":2869,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2511,"base":13}}},"used_operators":["f6k1SAg4EE","i8ToyICDmI","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-16CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5685","layer":2},{"info":"number node, value=2869","layer":2},{"info":"compute binary expreesion, left_input=5685, right_input=2869, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2511","layer":2},{"info":"compute unary expreesion, input=2511, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3379","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3379, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3379","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2784∲⫓⪎⋱⫍13C9)⪒(∥⊫⪎⋱⫍11B2)=⪎⋱⫍-16CC","reverse_text":"⪎⋱⫍-16CC=(⪎⋱⫍2784∲⫓⪎⋱⫍13C9)⪒(∥⊫⪎⋱⫍11B2)","cot":[{"info":"⪎⋱⫍2784∲⫓⪎⋱⫍13C9=⪎⋱⫍0","layer":1},{"info":"∥⊫⪎⋱⫍11B2=⪎⋱⫍16CC","layer":1},{"info":"⪎⋱⫍0⪒⪎⋱⫍16CC=⪎⋱⫍-16CC","layer":0}]}
{"id":572,"expression_no_base_symbol":"$2573$⩨$1995$*($2816$≫≃)","expression":"⪎⋱⫍122C⩨⪎⋱⫍BA6*(⪎⋱⫍1388≫≃)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2573,"base":13},"right_expr":{"type":"numeric_atoms","value":1995,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2816,"base":13}}},"used_operators":["9HNa5Wba9A","2DlMacCsIx","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2573","layer":2},{"info":"number node, value=1995","layer":2},{"info":"compute binary expreesion, left_input=2573, right_input=1995, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=2816","layer":2},{"info":"compute unary expreesion, input=2816, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7033","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7033, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍122C⩨⪎⋱⫍BA6*(⪎⋱⫍1388≫≃)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍122C⩨⪎⋱⫍BA6*(⪎⋱⫍1388≫≃)","cot":[{"info":"⪎⋱⫍122C⩨⪎⋱⫍BA6=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1388≫≃=⪎⋱⫍3280","layer":1},{"info":"⪎⋱⫍0*⪎⋱⫍3280=⪎⋱⫍0","layer":0}]}
{"id":573,"expression_no_base_symbol":"$4218$⪘⫢$4658$⨵⪆($2347$∧)","expression":"⪎⋱⫍1BC6⪘⫢⪎⋱⫍2174⨵⪆(⪎⋱⫍10B7∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4218,"base":13},"right_expr":{"type":"numeric_atoms","value":4658,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2347,"base":13}}},"used_operators":["2DQ55sFlQl","oacrs7FA3X","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4218","layer":2},{"info":"number node, value=4658","layer":2},{"info":"compute binary expreesion, left_input=4218, right_input=4658, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8312","layer":1},{"info":"number node, value=2347","layer":2},{"info":"compute unary expreesion, input=2347, 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=8312, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1BC6⪘⫢⪎⋱⫍2174⨵⪆(⪎⋱⫍10B7∧)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍1BC6⪘⫢⪎⋱⫍2174⨵⪆(⪎⋱⫍10B7∧)","cot":[{"info":"⪎⋱⫍1BC6⪘⫢⪎⋱⫍2174=⪎⋱⫍3A25","layer":1},{"info":"⪎⋱⫍10B7∧=NaN","layer":1},{"info":"⪎⋱⫍3A25⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":574,"expression_no_base_symbol":"($4775$⪨≂$3071$)≧⫂∧($1294$⨎$1608$)","expression":"(⪎⋱⫍2234⪨≂⪎⋱⫍1523)≧⫂∧(⪎⋱⫍787⨎⪎⋱⫍969)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4775,"base":13},"right_expr":{"type":"numeric_atoms","value":3071,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1294,"base":13},"right_expr":{"type":"numeric_atoms","value":1608,"base":13}}},"used_operators":["Ph9nP6C5qx","sdazOOVcIp","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍694","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4775","layer":2},{"info":"number node, value=3071","layer":2},{"info":"compute binary expreesion, left_input=4775, right_input=3071, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3510","layer":1},{"info":"number node, value=1294","layer":2},{"info":"number node, value=1608","layer":2},{"info":"compute binary expreesion, left_input=1294, right_input=1608, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1608","layer":1},{"info":"compute binary expreesion, left_input=3510, right_input=1608, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1135","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2234⪨≂⪎⋱⫍1523)≧⫂∧(⪎⋱⫍787⨎⪎⋱⫍969)=⪎⋱⫍694","reverse_text":"⪎⋱⫍694=(⪎⋱⫍2234⪨≂⪎⋱⫍1523)≧⫂∧(⪎⋱⫍787⨎⪎⋱⫍969)","cot":[{"info":"⪎⋱⫍2234⪨≂⪎⋱⫍1523=⪎⋱⫍17A0","layer":1},{"info":"⪎⋱⫍787⨎⪎⋱⫍969=⪎⋱⫍969","layer":1},{"info":"⪎⋱⫍17A0≧⫂∧⪎⋱⫍969=⪎⋱⫍694","layer":0}]}
{"id":575,"expression_no_base_symbol":"(⪝⪂⫅$7361$)⊪","expression":"(⪝⪂⫅⪎⋱⫍3473)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3246368,"operation_count":2,"complexity_ratio":1623184.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7361,"base":13}}},"used_operators":["zVYPLywUTj","XTarYq4gQB"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp"],"result":"Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7361","layer":2},{"info":"compute unary expreesion, input=7361, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1082067","layer":1},{"info":"compute unary expreesion, input=-1082067, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=inf","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍3473)⊪=Inf","reverse_text":"Inf=(⪝⪂⫅⪎⋱⫍3473)⊪","cot":[{"info":"⪝⪂⫅⪎⋱⫍3473=⪎⋱⫍-2BB69C","layer":1},{"info":"⪎⋱⫍-2BB69C⊪=Inf","layer":0}]}
{"id":576,"expression_no_base_symbol":"⨈⫕$6120$+⇶⊼$1325$","expression":"⨈⫕⪎⋱⫍2A2A+⇶⊼⪎⋱⫍7AC","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6120,"base":13},"right_expr":{"type":"numeric_atoms","value":1325,"base":13}}},"used_operators":["megm06wKyl","TpPTUOHfaN"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6120","layer":2},{"info":"number node, value=1325","layer":2},{"info":"compute binary expreesion, left_input=6120, right_input=1325, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"⨈⫕⪎⋱⫍2A2A+⇶⊼⪎⋱⫍7AC=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕⪎⋱⫍2A2A+⇶⊼⪎⋱⫍7AC","cot":[{"info":"⪎⋱⫍2A2A+⇶⊼⪎⋱⫍7AC=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":577,"expression_no_base_symbol":"⨑⩽⪐($1370$⫸⊐$1446$)","expression":"⨑⩽⪐(⪎⋱⫍815⫸⊐⪎⋱⫍873)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1370,"base":13},"right_expr":{"type":"numeric_atoms","value":1446,"base":13}}},"used_operators":["AF7qkfDlqP","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-25B4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":2},{"info":"number node, value=1446","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=1446, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5659","layer":1},{"info":"compute unary expreesion, input=5659, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5386","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⪎⋱⫍815⫸⊐⪎⋱⫍873)=⪎⋱⫍-25B4","reverse_text":"⪎⋱⫍-25B4=⨑⩽⪐(⪎⋱⫍815⫸⊐⪎⋱⫍873)","cot":[{"info":"⪎⋱⫍815⫸⊐⪎⋱⫍873=⪎⋱⫍2764","layer":1},{"info":"⨑⩽⪐⪎⋱⫍2764=⪎⋱⫍-25B4","layer":0}]}
{"id":578,"expression_no_base_symbol":"≦∁($1195$⫩⊇)","expression":"≦∁(⪎⋱⫍70C⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1195,"base":13}}},"used_operators":["9ICcGScMcE","BjRHVeLaeN"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":2},{"info":"compute unary expreesion, input=1195, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1153","layer":1},{"info":"compute unary expreesion, input=-1153, 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":13,"result_base":13,"text":"≦∁(⪎⋱⫍70C⫩⊇)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=≦∁(⪎⋱⫍70C⫩⊇)","cot":[{"info":"⪎⋱⫍70C⫩⊇=⪎⋱⫍-6A9","layer":1},{"info":"≦∁⪎⋱⫍-6A9=⪎⋱⫍52","layer":0}]}
{"id":579,"expression_no_base_symbol":"$2709$↙$2644$≣⋋","expression":"⪎⋱⫍1305↙⪎⋱⫍1285≣⋋","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":3161,"operation_count":2,"complexity_ratio":1580.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2709,"base":13},"right_expr":{"type":"numeric_atoms","value":2644,"base":13}}},"used_operators":["Tcnh7f0tEr","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2709","layer":2},{"info":"number node, value=2644","layer":2},{"info":"compute binary expreesion, left_input=2709, right_input=2644, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7932","layer":1},{"info":"compute unary expreesion, input=-7932, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1305↙⪎⋱⫍1285≣⋋=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍1305↙⪎⋱⫍1285≣⋋","cot":[{"info":"⪎⋱⫍1305↙⪎⋱⫍1285=⪎⋱⫍-37C2","layer":1},{"info":"⪎⋱⫍-37C2≣⋋=⪎⋱⫍0","layer":0}]}
{"id":580,"expression_no_base_symbol":"(⪝⪂⫅$1156$)+⇶⊼($1015$↪⪝)","expression":"(⪝⪂⫅⪎⋱⫍6AC)+⇶⊼(⪎⋱⫍601↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":851,"operation_count":3,"complexity_ratio":283.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1156,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1015,"base":13}}},"used_operators":["TpPTUOHfaN","XTarYq4gQB","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":2},{"info":"compute unary expreesion, input=1156, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-169932","layer":1},{"info":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=62099730","layer":1},{"info":"compute binary expreesion, left_input=-169932, right_input=62099730, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍6AC)+⇶⊼(⪎⋱⫍601↪⪝)=NaN","reverse_text":"NaN=(⪝⪂⫅⪎⋱⫍6AC)+⇶⊼(⪎⋱⫍601↪⪝)","cot":[{"info":"⪝⪂⫅⪎⋱⫍6AC=⪎⋱⫍-5C469","layer":1},{"info":"⪎⋱⫍601↪⪝=⪎⋱⫍CB33904","layer":1},{"info":"⪎⋱⫍-5C469+⇶⊼⪎⋱⫍CB33904=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"$5940$+⇶⊼$4909$⋷$1971$⪄$1855$","expression":"⪎⋱⫍291C+⇶⊼⪎⋱⫍2308⋷⪎⋱⫍B88⪄⪎⋱⫍AC9","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5940,"base":13},"right_expr":{"type":"numeric_atoms","value":4909,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1971,"base":13},"right_expr":{"type":"numeric_atoms","value":1855,"base":13}}},"used_operators":["23Mk6UjR3U","TpPTUOHfaN","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5940","layer":2},{"info":"number node, value=4909","layer":2},{"info":"compute binary expreesion, left_input=5940, right_input=4909, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1971","layer":2},{"info":"number node, value=1855","layer":2},{"info":"compute binary expreesion, left_input=1971, right_input=1855, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-295217","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-295217, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍291C+⇶⊼⪎⋱⫍2308⋷⪎⋱⫍B88⪄⪎⋱⫍AC9=NaN","reverse_text":"NaN=⪎⋱⫍291C+⇶⊼⪎⋱⫍2308⋷⪎⋱⫍B88⪄⪎⋱⫍AC9","cot":[{"info":"⪎⋱⫍291C+⇶⊼⪎⋱⫍2308=NaN","layer":1},{"info":"⪎⋱⫍B88⪄⪎⋱⫍AC9=⪎⋱⫍-A44B0","layer":1},{"info":"NaN⋷⪎⋱⫍-A44B0=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"(⊙↵-$2909$)⨵⪆($1460$⋷$8526$)","expression":"(⊙↵-⪎⋱⫍142A)⨵⪆(⪎⋱⫍884⋷⪎⋱⫍3B5B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2959,"operation_count":3,"complexity_ratio":986.3333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2909,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1460,"base":13},"right_expr":{"type":"numeric_atoms","value":8526,"base":13}}},"used_operators":["2DQ55sFlQl","oWn0xqSxBt","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2909","layer":2},{"info":"compute unary expreesion, input=2909, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1460","layer":2},{"info":"number node, value=8526","layer":2},{"info":"compute binary expreesion, left_input=1460, right_input=8526, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15592","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=15592, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-⪎⋱⫍142A)⨵⪆(⪎⋱⫍884⋷⪎⋱⫍3B5B)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⊙↵-⪎⋱⫍142A)⨵⪆(⪎⋱⫍884⋷⪎⋱⫍3B5B)","cot":[{"info":"⊙↵-⪎⋱⫍142A=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍884⋷⪎⋱⫍3B5B=⪎⋱⫍7135","layer":1},{"info":"⪎⋱⫍-1⨵⪆⪎⋱⫍7135=⪎⋱⫍C4","layer":0}]}
{"id":583,"expression_no_base_symbol":"($1087$⩠)∸","expression":"(⪎⋱⫍658⩠)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":195,"operation_count":2,"complexity_ratio":97.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1087,"base":13}}},"used_operators":["o20kRiQErp","sJAwomhLZr"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"compute unary expreesion, input=1087, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍658⩠)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍658⩠)∸","cot":[{"info":"⪎⋱⫍658⩠=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0∸=⪎⋱⫍108","layer":0}]}
{"id":584,"expression_no_base_symbol":"$4463$⋥≓≎$1401$⊭↱($1211$⨵⪆$4190$)","expression":"⪎⋱⫍2054⋥≓≎⪎⋱⫍83A⊭↱(⪎⋱⫍722⨵⪆⪎⋱⫍1BA4)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4463,"base":13},"right_expr":{"type":"numeric_atoms","value":1401,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1211,"base":13},"right_expr":{"type":"numeric_atoms","value":4190,"base":13}}},"used_operators":["COABgblf1C","Qy55tPpLXF","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1826","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4463","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=4463, right_input=1401, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1628","layer":1},{"info":"number node, value=1211","layer":2},{"info":"number node, value=4190","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=4190, 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=-1628, right_input=160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3581","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2054⋥≓≎⪎⋱⫍83A⊭↱(⪎⋱⫍722⨵⪆⪎⋱⫍1BA4)=⪎⋱⫍1826","reverse_text":"⪎⋱⫍1826=⪎⋱⫍2054⋥≓≎⪎⋱⫍83A⊭↱(⪎⋱⫍722⨵⪆⪎⋱⫍1BA4)","cot":[{"info":"⪎⋱⫍2054⋥≓≎⪎⋱⫍83A=⪎⋱⫍-983","layer":1},{"info":"⪎⋱⫍722⨵⪆⪎⋱⫍1BA4=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍-983⊭↱⪎⋱⫍C4=⪎⋱⫍1826","layer":0}]}
{"id":585,"expression_no_base_symbol":"$1001$⨽$3422$↺(⫓⪴$6229$)","expression":"⪎⋱⫍5C0⨽⪎⋱⫍1733↺(⫓⪴⪎⋱⫍2AB2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7241,"operation_count":3,"complexity_ratio":2413.6666666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":3422,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6229,"base":13}}},"used_operators":["7j4O788W3g","8HhzD0ZcuI","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A"],"result":"⪎⋱⫍8066854","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=3422","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=3422, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3014955","layer":1},{"info":"number node, value=6229","layer":2},{"info":"compute unary expreesion, input=6229, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=38800441","layer":1},{"info":"compute binary expreesion, left_input=-3014955, right_input=38800441, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=38800441","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍5C0⨽⪎⋱⫍1733↺(⫓⪴⪎⋱⫍2AB2)=⪎⋱⫍8066854","reverse_text":"⪎⋱⫍8066854=⪎⋱⫍5C0⨽⪎⋱⫍1733↺(⫓⪴⪎⋱⫍2AB2)","cot":[{"info":"⪎⋱⫍5C0⨽⪎⋱⫍1733=⪎⋱⫍-8173C8","layer":1},{"info":"⫓⪴⪎⋱⫍2AB2=⪎⋱⫍8066854","layer":1},{"info":"⪎⋱⫍-8173C8↺⪎⋱⫍8066854=⪎⋱⫍8066854","layer":0}]}
{"id":586,"expression_no_base_symbol":"($1861$⩤)⫸⊐$1580$↬$1270$","expression":"(⪎⋱⫍B02⩤)⫸⊐⪎⋱⫍947↬⪎⋱⫍769","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1861,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1580,"base":13},"right_expr":{"type":"numeric_atoms","value":1270,"base":13}}},"used_operators":["mqXw5SEYmG","Z2TMIBDE3Q","B5M0gjZbta"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍596","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1861","layer":2},{"info":"compute unary expreesion, input=1861, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1861","layer":1},{"info":"number node, value=1580","layer":2},{"info":"number node, value=1270","layer":2},{"info":"compute binary expreesion, left_input=1580, right_input=1270, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1861, 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":13,"result_base":13,"text":"(⪎⋱⫍B02⩤)⫸⊐⪎⋱⫍947↬⪎⋱⫍769=⪎⋱⫍596","reverse_text":"⪎⋱⫍596=(⪎⋱⫍B02⩤)⫸⊐⪎⋱⫍947↬⪎⋱⫍769","cot":[{"info":"⪎⋱⫍B02⩤=⪎⋱⫍-B02","layer":1},{"info":"⪎⋱⫍947↬⪎⋱⫍769=NaN","layer":1},{"info":"⪎⋱⫍-B02⫸⊐NaN=⪎⋱⫍596","layer":0}]}
{"id":587,"expression_no_base_symbol":"($2678$⩷∴$2285$)≹⇙⪍(-$1298$)","expression":"(⪎⋱⫍12B0⩷∴⪎⋱⫍106A)≹⇙⪍(-⪎⋱⫍78B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2678,"base":13},"right_expr":{"type":"numeric_atoms","value":2285,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1298,"base":13}}},"used_operators":["AHs5Up7iyr","9FxExcQeMw","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":2},{"info":"number node, value=2285","layer":2},{"info":"compute binary expreesion, left_input=2678, right_input=2285, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=754","layer":1},{"info":"number node, value=1298","layer":2},{"info":"compute unary expreesion, input=1298, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1298","layer":1},{"info":"compute binary expreesion, left_input=754, right_input=-1298, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(⪎⋱⫍12B0⩷∴⪎⋱⫍106A)≹⇙⪍(-⪎⋱⫍78B)=NaN","reverse_text":"NaN=(⪎⋱⫍12B0⩷∴⪎⋱⫍106A)≹⇙⪍(-⪎⋱⫍78B)","cot":[{"info":"⪎⋱⫍12B0⩷∴⪎⋱⫍106A=⪎⋱⫍460","layer":1},{"info":"-⪎⋱⫍78B=⪎⋱⫍-78B","layer":1},{"info":"⪎⋱⫍460≹⇙⪍⪎⋱⫍-78B=NaN","layer":0}]}
{"id":588,"expression_no_base_symbol":"($3147$⫌⩹⨱)⩠","expression":"(⪎⋱⫍1581⫌⩹⨱)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3147,"base":13}}},"used_operators":["sJAwomhLZr","EBcxylXtPf"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3147","layer":2},{"info":"compute unary expreesion, input=3147, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7695","layer":1},{"info":"compute unary expreesion, input=7695, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1581⫌⩹⨱)⩠=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1581⫌⩹⨱)⩠","cot":[{"info":"⪎⋱⫍1581⫌⩹⨱=⪎⋱⫍366C","layer":1},{"info":"⪎⋱⫍366C⩠=⪎⋱⫍0","layer":0}]}
{"id":589,"expression_no_base_symbol":"$3554$≭$1099$-(⩦⩻⨪$4732$)","expression":"⪎⋱⫍1805≭⪎⋱⫍667-(⩦⩻⨪⪎⋱⫍2200)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3554,"base":13},"right_expr":{"type":"numeric_atoms","value":1099,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4732,"base":13}}},"used_operators":["rysDP5nf3Z","rxpJgHHUmx","2td37pGCOC"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3554","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=3554, right_input=1099, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4732","layer":2},{"info":"compute unary expreesion, input=4732, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4732","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4732, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1805≭⪎⋱⫍667-(⩦⩻⨪⪎⋱⫍2200)=NaN","reverse_text":"NaN=⪎⋱⫍1805≭⪎⋱⫍667-(⩦⩻⨪⪎⋱⫍2200)","cot":[{"info":"⪎⋱⫍1805≭⪎⋱⫍667=NaN","layer":1},{"info":"⩦⩻⨪⪎⋱⫍2200=⪎⋱⫍2200","layer":1},{"info":"NaN-⪎⋱⫍2200=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(-$2290$)⨪↰⇹$1749$⪛$2088$","expression":"(-⪎⋱⫍1072)⨪↰⇹⪎⋱⫍A47⪛⪎⋱⫍C48","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2295,"operation_count":3,"complexity_ratio":765.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2290,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1749,"base":13},"right_expr":{"type":"numeric_atoms","value":2088,"base":13}}},"used_operators":["tmPS8pqC7x","t8gj7n24qd","uFcxV4UQCh"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-1072","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2290","layer":2},{"info":"compute unary expreesion, input=2290, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2290","layer":1},{"info":"number node, value=1749","layer":2},{"info":"number node, value=2088","layer":2},{"info":"compute binary expreesion, left_input=1749, right_input=2088, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1749","layer":1},{"info":"compute binary expreesion, left_input=-2290, right_input=1749, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2290","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍1072)⨪↰⇹⪎⋱⫍A47⪛⪎⋱⫍C48=⪎⋱⫍-1072","reverse_text":"⪎⋱⫍-1072=(-⪎⋱⫍1072)⨪↰⇹⪎⋱⫍A47⪛⪎⋱⫍C48","cot":[{"info":"-⪎⋱⫍1072=⪎⋱⫍-1072","layer":1},{"info":"⪎⋱⫍A47⪛⪎⋱⫍C48=⪎⋱⫍A47","layer":1},{"info":"⪎⋱⫍-1072⨪↰⇹⪎⋱⫍A47=⪎⋱⫍-1072","layer":0}]}
{"id":591,"expression_no_base_symbol":"(⫓⪴$5535$)⋷$2926$↬$1665$","expression":"(⫓⪴⪎⋱⫍269A)⋷⪎⋱⫍1441↬⪎⋱⫍9B1","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5539,"operation_count":3,"complexity_ratio":1846.3333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5535,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2926,"base":13},"right_expr":{"type":"numeric_atoms","value":1665,"base":13}}},"used_operators":["23Mk6UjR3U","eLxqMNBOBk","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5535","layer":2},{"info":"compute unary expreesion, input=5535, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30636225","layer":1},{"info":"number node, value=2926","layer":2},{"info":"number node, value=1665","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=1665, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=30636225, 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":13,"result_base":13,"text":"(⫓⪴⪎⋱⫍269A)⋷⪎⋱⫍1441↬⪎⋱⫍9B1=NaN","reverse_text":"NaN=(⫓⪴⪎⋱⫍269A)⋷⪎⋱⫍1441↬⪎⋱⫍9B1","cot":[{"info":"⫓⪴⪎⋱⫍269A=⪎⋱⫍6468759","layer":1},{"info":"⪎⋱⫍1441↬⪎⋱⫍9B1=NaN","layer":1},{"info":"⪎⋱⫍6468759⋷NaN=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"($1097$⫸⊐$3826$)≣⋋","expression":"(⪎⋱⫍665⫸⊐⪎⋱⫍1984)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":538,"operation_count":2,"complexity_ratio":269.0,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1097,"base":13},"right_expr":{"type":"numeric_atoms","value":3826,"base":13}}},"used_operators":["Tcnh7f0tEr","mqXw5SEYmG"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1097","layer":2},{"info":"number node, value=3826","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=3826, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15179","layer":1},{"info":"compute unary expreesion, input=15179, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍665⫸⊐⪎⋱⫍1984)≣⋋=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍665⫸⊐⪎⋱⫍1984)≣⋋","cot":[{"info":"⪎⋱⫍665⫸⊐⪎⋱⫍1984=⪎⋱⫍6BA8","layer":1},{"info":"⪎⋱⫍6BA8≣⋋=⪎⋱⫍0","layer":0}]}
{"id":593,"expression_no_base_symbol":"($5480$≫≃)⨎($4233$⪐)","expression":"(⪎⋱⫍2657≫≃)⨎(⪎⋱⫍1C08⪐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5480,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4233,"base":13}}},"used_operators":["rJVOvQCfKK","X99M06cbEe","eH2TOUuTDT"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3B13","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5480","layer":2},{"info":"compute unary expreesion, input=5480, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12361","layer":1},{"info":"number node, value=4233","layer":2},{"info":"compute unary expreesion, input=4233, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=8466","layer":1},{"info":"compute binary expreesion, left_input=12361, right_input=8466, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8466","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2657≫≃)⨎(⪎⋱⫍1C08⪐)=⪎⋱⫍3B13","reverse_text":"⪎⋱⫍3B13=(⪎⋱⫍2657≫≃)⨎(⪎⋱⫍1C08⪐)","cot":[{"info":"⪎⋱⫍2657≫≃=⪎⋱⫍581B","layer":1},{"info":"⪎⋱⫍1C08⪐=⪎⋱⫍3B13","layer":1},{"info":"⪎⋱⫍581B⨎⪎⋱⫍3B13=⪎⋱⫍3B13","layer":0}]}
{"id":594,"expression_no_base_symbol":"↣≠⋷($1983$∧)","expression":"↣≠⋷(⪎⋱⫍B97∧)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1983,"base":13}}},"used_operators":["Asc51vEJeQ","z63VuFQld9"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1983","layer":2},{"info":"compute unary expreesion, input=1983, 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 unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(⪎⋱⫍B97∧)=NaN","reverse_text":"NaN=↣≠⋷(⪎⋱⫍B97∧)","cot":[{"info":"⪎⋱⫍B97∧=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"($2081$⊉≛↸$1267$)⫸⊐(-$1359$)","expression":"(⪎⋱⫍C41⊉≛↸⪎⋱⫍766)⫸⊐(-⪎⋱⫍807)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2081,"base":13},"right_expr":{"type":"numeric_atoms","value":1267,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1359,"base":13}}},"used_operators":["mqXw5SEYmG","DZ8iAZOCBD","t8gj7n24qd"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-13B0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2081","layer":2},{"info":"number node, value=1267","layer":2},{"info":"compute binary expreesion, left_input=2081, right_input=1267, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4162","layer":1},{"info":"number node, value=1359","layer":2},{"info":"compute unary expreesion, input=1359, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1359","layer":1},{"info":"compute binary expreesion, left_input=4162, right_input=-1359, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-2847","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C41⊉≛↸⪎⋱⫍766)⫸⊐(-⪎⋱⫍807)=⪎⋱⫍-13B0","reverse_text":"⪎⋱⫍-13B0=(⪎⋱⫍C41⊉≛↸⪎⋱⫍766)⫸⊐(-⪎⋱⫍807)","cot":[{"info":"⪎⋱⫍C41⊉≛↸⪎⋱⫍766=⪎⋱⫍1B82","layer":1},{"info":"-⪎⋱⫍807=⪎⋱⫍-807","layer":1},{"info":"⪎⋱⫍1B82⫸⊐⪎⋱⫍-807=⪎⋱⫍-13B0","layer":0}]}
{"id":596,"expression_no_base_symbol":"$4082$⇷$1473$⊉≛↸$2287$↺$2822$","expression":"⪎⋱⫍1B20⇷⪎⋱⫍894⊉≛↸⪎⋱⫍106C↺⪎⋱⫍1391","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57158,"operation_count":3,"complexity_ratio":19052.666666666668,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4082,"base":13},"right_expr":{"type":"numeric_atoms","value":1473,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2287,"base":13},"right_expr":{"type":"numeric_atoms","value":2822,"base":13}}},"used_operators":["DZ8iAZOCBD","mp7IySMOzn","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍28B3","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4082","layer":2},{"info":"number node, value=1473","layer":2},{"info":"compute binary expreesion, left_input=4082, right_input=1473, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2946","layer":1},{"info":"number node, value=2287","layer":2},{"info":"number node, value=2822","layer":2},{"info":"compute binary expreesion, left_input=2287, right_input=2822, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=2946, right_input=2822, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5892","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B20⇷⪎⋱⫍894⊉≛↸⪎⋱⫍106C↺⪎⋱⫍1391=⪎⋱⫍28B3","reverse_text":"⪎⋱⫍28B3=⪎⋱⫍1B20⇷⪎⋱⫍894⊉≛↸⪎⋱⫍106C↺⪎⋱⫍1391","cot":[{"info":"⪎⋱⫍1B20⇷⪎⋱⫍894=⪎⋱⫍1458","layer":1},{"info":"⪎⋱⫍106C↺⪎⋱⫍1391=⪎⋱⫍1391","layer":1},{"info":"⪎⋱⫍1458⊉≛↸⪎⋱⫍1391=⪎⋱⫍28B3","layer":0}]}
{"id":597,"expression_no_base_symbol":"$8328$⨳⩥⨓$1146$⊭↱$2710$⫸⊐$2727$","expression":"⪎⋱⫍3A38⨳⩥⨓⪎⋱⫍6A2⊭↱⪎⋱⫍1306⫸⊐⪎⋱⫍131A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8328,"base":13},"right_expr":{"type":"numeric_atoms","value":1146,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2710,"base":13},"right_expr":{"type":"numeric_atoms","value":2727,"base":13}}},"used_operators":["COABgblf1C","nCS4ZIUYfx","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍13483","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8328","layer":2},{"info":"number node, value=1146","layer":2},{"info":"compute binary expreesion, left_input=8328, right_input=1146, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7182","layer":1},{"info":"number node, value=2710","layer":2},{"info":"number node, value=2727","layer":2},{"info":"compute binary expreesion, left_input=2710, right_input=2727, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10783","layer":1},{"info":"compute binary expreesion, left_input=-7182, right_input=10783, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=35935","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3A38⨳⩥⨓⪎⋱⫍6A2⊭↱⪎⋱⫍1306⫸⊐⪎⋱⫍131A=⪎⋱⫍13483","reverse_text":"⪎⋱⫍13483=⪎⋱⫍3A38⨳⩥⨓⪎⋱⫍6A2⊭↱⪎⋱⫍1306⫸⊐⪎⋱⫍131A","cot":[{"info":"⪎⋱⫍3A38⨳⩥⨓⪎⋱⫍6A2=⪎⋱⫍-3366","layer":1},{"info":"⪎⋱⫍1306⫸⊐⪎⋱⫍131A=⪎⋱⫍4BA6","layer":1},{"info":"⪎⋱⫍-3366⊭↱⪎⋱⫍4BA6=⪎⋱⫍13483","layer":0}]}
{"id":598,"expression_no_base_symbol":"($1207$%$4064$)⫸⊐(-$2466$)","expression":"(⪎⋱⫍71B%⪎⋱⫍1B08)⫸⊐(-⪎⋱⫍1179)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1207,"base":13},"right_expr":{"type":"numeric_atoms","value":4064,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2466,"base":13}}},"used_operators":["mqXw5SEYmG","k8jYdgA6NY","t8gj7n24qd"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⪎⋱⫍-23C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":2},{"info":"number node, value=4064","layer":2},{"info":"compute binary expreesion, left_input=1207, right_input=4064, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1207","layer":1},{"info":"number node, value=2466","layer":2},{"info":"compute unary expreesion, input=2466, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2466","layer":1},{"info":"compute binary expreesion, left_input=1207, right_input=-2466, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-5061","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍71B%⪎⋱⫍1B08)⫸⊐(-⪎⋱⫍1179)=⪎⋱⫍-23C4","reverse_text":"⪎⋱⫍-23C4=(⪎⋱⫍71B%⪎⋱⫍1B08)⫸⊐(-⪎⋱⫍1179)","cot":[{"info":"⪎⋱⫍71B%⪎⋱⫍1B08=⪎⋱⫍71B","layer":1},{"info":"-⪎⋱⫍1179=⪎⋱⫍-1179","layer":1},{"info":"⪎⋱⫍71B⫸⊐⪎⋱⫍-1179=⪎⋱⫍-23C4","layer":0}]}
{"id":599,"expression_no_base_symbol":"$1239$⨰$3129$%$2555$⪢$2807$","expression":"⪎⋱⫍744⨰⪎⋱⫍1569%⪎⋱⫍1217⪢⪎⋱⫍137C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2814,"operation_count":3,"complexity_ratio":938.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1239,"base":13},"right_expr":{"type":"numeric_atoms","value":3129,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2555,"base":13},"right_expr":{"type":"numeric_atoms","value":2807,"base":13}}},"used_operators":["k8jYdgA6NY","eewbuw0ToL","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1239","layer":2},{"info":"number node, value=3129","layer":2},{"info":"compute binary expreesion, left_input=1239, right_input=3129, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1880","layer":1},{"info":"number node, value=2555","layer":2},{"info":"number node, value=2807","layer":2},{"info":"compute binary expreesion, left_input=2555, right_input=2807, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1880, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍744⨰⪎⋱⫍1569%⪎⋱⫍1217⪢⪎⋱⫍137C=NaN","reverse_text":"NaN=⪎⋱⫍744⨰⪎⋱⫍1569%⪎⋱⫍1217⪢⪎⋱⫍137C","cot":[{"info":"⪎⋱⫍744⨰⪎⋱⫍1569=⪎⋱⫍-B18","layer":1},{"info":"⪎⋱⫍1217⪢⪎⋱⫍137C=NaN","layer":1},{"info":"⪎⋱⫍-B18%NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"(-$5622$)⪨≂$1771$∀⇚≩$2443$","expression":"(-⪎⋱⫍2736)⪨≂⪎⋱⫍A63∀⇚≩⪎⋱⫍115C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12403,"operation_count":3,"complexity_ratio":4134.333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5622,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1771,"base":13},"right_expr":{"type":"numeric_atoms","value":2443,"base":13}}},"used_operators":["sdazOOVcIp","t8gj7n24qd","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5622","layer":2},{"info":"compute unary expreesion, input=5622, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5622","layer":1},{"info":"number node, value=1771","layer":2},{"info":"number node, value=2443","layer":2},{"info":"compute binary expreesion, left_input=1771, right_input=2443, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-5622, 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":13,"result_base":13,"text":"(-⪎⋱⫍2736)⪨≂⪎⋱⫍A63∀⇚≩⪎⋱⫍115C=NaN","reverse_text":"NaN=(-⪎⋱⫍2736)⪨≂⪎⋱⫍A63∀⇚≩⪎⋱⫍115C","cot":[{"info":"-⪎⋱⫍2736=⪎⋱⫍-2736","layer":1},{"info":"⪎⋱⫍A63∀⇚≩⪎⋱⫍115C=NaN","layer":1},{"info":"⪎⋱⫍-2736⪨≂NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"$4154$+⇶⊼$2442$*$4485$∼$2555$","expression":"⪎⋱⫍1B77+⇶⊼⪎⋱⫍115B*⪎⋱⫍2070∼⪎⋱⫍1217","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91,"operation_count":3,"complexity_ratio":30.333333333333332,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4154,"base":13},"right_expr":{"type":"numeric_atoms","value":2442,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4485,"base":13},"right_expr":{"type":"numeric_atoms","value":2555,"base":13}}},"used_operators":["9HNa5Wba9A","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4154","layer":2},{"info":"number node, value=2442","layer":2},{"info":"compute binary expreesion, left_input=4154, right_input=2442, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4485","layer":2},{"info":"number node, value=2555","layer":2},{"info":"compute binary expreesion, left_input=4485, right_input=2555, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1B77+⇶⊼⪎⋱⫍115B*⪎⋱⫍2070∼⪎⋱⫍1217=NaN","reverse_text":"NaN=⪎⋱⫍1B77+⇶⊼⪎⋱⫍115B*⪎⋱⫍2070∼⪎⋱⫍1217","cot":[{"info":"⪎⋱⫍1B77+⇶⊼⪎⋱⫍115B=NaN","layer":1},{"info":"⪎⋱⫍2070∼⪎⋱⫍1217=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"≤/(∥⊫$1267$)","expression":"≤/(∥⊫⪎⋱⫍766)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1267,"base":13}}},"used_operators":["eLAdDNolq6","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-9A0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":2},{"info":"compute unary expreesion, input=1267, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2135","layer":1},{"info":"compute unary expreesion, input=2135, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1651","layer":0}],"base":13,"result_base":13,"text":"≤/(∥⊫⪎⋱⫍766)=⪎⋱⫍-9A0","reverse_text":"⪎⋱⫍-9A0=≤/(∥⊫⪎⋱⫍766)","cot":[{"info":"∥⊫⪎⋱⫍766=⪎⋱⫍C83","layer":1},{"info":"≤/⪎⋱⫍C83=⪎⋱⫍-9A0","layer":0}]}
{"id":603,"expression_no_base_symbol":"$8583$⨰$6162$∲⫓$5105$⊭↱$1266$","expression":"⪎⋱⫍3BA3⨰⪎⋱⫍2A60∲⫓⪎⋱⫍2429⊭↱⪎⋱⫍765","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8583,"base":13},"right_expr":{"type":"numeric_atoms","value":6162,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5105,"base":13},"right_expr":{"type":"numeric_atoms","value":1266,"base":13}}},"used_operators":["i8ToyICDmI","eewbuw0ToL","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1150","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8583","layer":2},{"info":"number node, value=6162","layer":2},{"info":"compute binary expreesion, left_input=8583, right_input=6162, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2431","layer":1},{"info":"number node, value=5105","layer":2},{"info":"number node, value=1266","layer":2},{"info":"compute binary expreesion, left_input=5105, right_input=1266, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7673","layer":1},{"info":"compute binary expreesion, left_input=2431, right_input=-7673, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2431","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3BA3⨰⪎⋱⫍2A60∲⫓⪎⋱⫍2429⊭↱⪎⋱⫍765=⪎⋱⫍1150","reverse_text":"⪎⋱⫍1150=⪎⋱⫍3BA3⨰⪎⋱⫍2A60∲⫓⪎⋱⫍2429⊭↱⪎⋱⫍765","cot":[{"info":"⪎⋱⫍3BA3⨰⪎⋱⫍2A60=⪎⋱⫍1150","layer":1},{"info":"⪎⋱⫍2429⊭↱⪎⋱⫍765=⪎⋱⫍-3653","layer":1},{"info":"⪎⋱⫍1150∲⫓⪎⋱⫍-3653=⪎⋱⫍1150","layer":0}]}
{"id":604,"expression_no_base_symbol":"(∥⊫$1168$)⩷∴($2157$⋥≓≎$5598$)","expression":"(∥⊫⪎⋱⫍6BB)⩷∴(⪎⋱⫍C9C⋥≓≎⪎⋱⫍2718)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1168,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2157,"base":13},"right_expr":{"type":"numeric_atoms","value":5598,"base":13}}},"used_operators":["9FxExcQeMw","P8v4zCKN1o","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-655C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"compute unary expreesion, input=1168, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2036","layer":1},{"info":"number node, value=2157","layer":2},{"info":"number node, value=5598","layer":2},{"info":"compute binary expreesion, left_input=2157, right_input=5598, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9072","layer":1},{"info":"compute binary expreesion, left_input=2036, right_input=9072, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14104","layer":0}],"base":13,"result_base":13,"text":"(∥⊫⪎⋱⫍6BB)⩷∴(⪎⋱⫍C9C⋥≓≎⪎⋱⫍2718)=⪎⋱⫍-655C","reverse_text":"⪎⋱⫍-655C=(∥⊫⪎⋱⫍6BB)⩷∴(⪎⋱⫍C9C⋥≓≎⪎⋱⫍2718)","cot":[{"info":"∥⊫⪎⋱⫍6BB=⪎⋱⫍C08","layer":1},{"info":"⪎⋱⫍C9C⋥≓≎⪎⋱⫍2718=⪎⋱⫍418B","layer":1},{"info":"⪎⋱⫍C08⩷∴⪎⋱⫍418B=⪎⋱⫍-655C","layer":0}]}
{"id":605,"expression_no_base_symbol":"($5209$↙$5017$)⋳⪒$1828$≭$5985$","expression":"(⪎⋱⫍24A9↙⪎⋱⫍238C)⋳⪒⪎⋱⫍AA8≭⪎⋱⫍2955","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5028,"operation_count":3,"complexity_ratio":1676.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5209,"base":13},"right_expr":{"type":"numeric_atoms","value":5017,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1828,"base":13},"right_expr":{"type":"numeric_atoms","value":5985,"base":13}}},"used_operators":["12rbrZMWeM","yyfyN0ffXY","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5209","layer":2},{"info":"number node, value=5017","layer":2},{"info":"compute binary expreesion, left_input=5209, right_input=5017, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15051","layer":1},{"info":"number node, value=1828","layer":2},{"info":"number node, value=5985","layer":2},{"info":"compute binary expreesion, left_input=1828, right_input=5985, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-15051, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍24A9↙⪎⋱⫍238C)⋳⪒⪎⋱⫍AA8≭⪎⋱⫍2955=NaN","reverse_text":"NaN=(⪎⋱⫍24A9↙⪎⋱⫍238C)⋳⪒⪎⋱⫍AA8≭⪎⋱⫍2955","cot":[{"info":"⪎⋱⫍24A9↙⪎⋱⫍238C=⪎⋱⫍-6B0A","layer":1},{"info":"⪎⋱⫍AA8≭⪎⋱⫍2955=NaN","layer":1},{"info":"⪎⋱⫍-6B0A⋳⪒NaN=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"($5968$⩚⊴⇥$2413$)∀⇚≩($3998$⪨≂$7236$)","expression":"(⪎⋱⫍2941⩚⊴⇥⪎⋱⫍1138)∀⇚≩(⪎⋱⫍1A87⪨≂⪎⋱⫍33A8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":59522,"operation_count":3,"complexity_ratio":19840.666666666668,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5968,"base":13},"right_expr":{"type":"numeric_atoms","value":2413,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3998,"base":13},"right_expr":{"type":"numeric_atoms","value":7236,"base":13}}},"used_operators":["LRNGc0VcxI","NTOWxs364D","sdazOOVcIp"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5968","layer":2},{"info":"number node, value=2413","layer":2},{"info":"compute binary expreesion, left_input=5968, right_input=2413, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8502","layer":1},{"info":"number node, value=3998","layer":2},{"info":"number node, value=7236","layer":2},{"info":"compute binary expreesion, left_input=3998, right_input=7236, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6374","layer":1},{"info":"compute binary expreesion, left_input=-8502, right_input=-6374, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"(⪎⋱⫍2941⩚⊴⇥⪎⋱⫍1138)∀⇚≩(⪎⋱⫍1A87⪨≂⪎⋱⫍33A8)=NaN","reverse_text":"NaN=(⪎⋱⫍2941⩚⊴⇥⪎⋱⫍1138)∀⇚≩(⪎⋱⫍1A87⪨≂⪎⋱⫍33A8)","cot":[{"info":"⪎⋱⫍2941⩚⊴⇥⪎⋱⫍1138=⪎⋱⫍-3B40","layer":1},{"info":"⪎⋱⫍1A87⪨≂⪎⋱⫍33A8=⪎⋱⫍-2B94","layer":1},{"info":"⪎⋱⫍-3B40∀⇚≩⪎⋱⫍-2B94=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"≉(+⊝⨔$2532$)","expression":"≉(+⊝⨔⪎⋱⫍11CA)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2532,"base":13}}},"used_operators":["e1ybzncUwg","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍C1C","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2532","layer":2},{"info":"compute unary expreesion, input=2532, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2053","layer":0}],"base":13,"result_base":13,"text":"≉(+⊝⨔⪎⋱⫍11CA)=⪎⋱⫍C1C","reverse_text":"⪎⋱⫍C1C=≉(+⊝⨔⪎⋱⫍11CA)","cot":[{"info":"+⊝⨔⪎⋱⫍11CA=⪎⋱⫍901","layer":1},{"info":"≉⪎⋱⫍901=⪎⋱⫍C1C","layer":0}]}
{"id":608,"expression_no_base_symbol":"$3172$⨓$2666$↺$2478$↬$5259$","expression":"⪎⋱⫍15A0⨓⪎⋱⫍12A1↺⪎⋱⫍1188↬⪎⋱⫍2517","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2675,"operation_count":3,"complexity_ratio":891.6666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3172,"base":13},"right_expr":{"type":"numeric_atoms","value":2666,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2478,"base":13},"right_expr":{"type":"numeric_atoms","value":5259,"base":13}}},"used_operators":["7j4O788W3g","3ViojmjbAp","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":2},{"info":"number node, value=2666","layer":2},{"info":"compute binary expreesion, left_input=3172, right_input=2666, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2669","layer":1},{"info":"number node, value=2478","layer":2},{"info":"number node, value=5259","layer":2},{"info":"compute binary expreesion, left_input=2478, right_input=5259, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-2669, 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":13,"result_base":13,"text":"⪎⋱⫍15A0⨓⪎⋱⫍12A1↺⪎⋱⫍1188↬⪎⋱⫍2517=NaN","reverse_text":"NaN=⪎⋱⫍15A0⨓⪎⋱⫍12A1↺⪎⋱⫍1188↬⪎⋱⫍2517","cot":[{"info":"⪎⋱⫍15A0⨓⪎⋱⫍12A1=⪎⋱⫍-12A4","layer":1},{"info":"⪎⋱⫍1188↬⪎⋱⫍2517=NaN","layer":1},{"info":"⪎⋱⫍-12A4↺NaN=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"($4538$⋫)%$4669$⨎$4730$","expression":"(⪎⋱⫍20B1⋫)%⪎⋱⫍2182⨎⪎⋱⫍21CB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4540,"operation_count":3,"complexity_ratio":1513.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4538,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4669,"base":13},"right_expr":{"type":"numeric_atoms","value":4730,"base":13}}},"used_operators":["k8jYdgA6NY","JL8yIekQnl","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍20B1","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4538","layer":2},{"info":"compute unary expreesion, input=4538, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4538","layer":1},{"info":"number node, value=4669","layer":2},{"info":"number node, value=4730","layer":2},{"info":"compute binary expreesion, left_input=4669, right_input=4730, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4730","layer":1},{"info":"compute binary expreesion, left_input=4538, right_input=4730, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4538","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍20B1⋫)%⪎⋱⫍2182⨎⪎⋱⫍21CB=⪎⋱⫍20B1","reverse_text":"⪎⋱⫍20B1=(⪎⋱⫍20B1⋫)%⪎⋱⫍2182⨎⪎⋱⫍21CB","cot":[{"info":"⪎⋱⫍20B1⋫=⪎⋱⫍20B1","layer":1},{"info":"⪎⋱⫍2182⨎⪎⋱⫍21CB=⪎⋱⫍21CB","layer":1},{"info":"⪎⋱⫍20B1%⪎⋱⫍21CB=⪎⋱⫍20B1","layer":0}]}
{"id":610,"expression_no_base_symbol":"($1060$+⇶⊼$4077$)∑⇟⊟$1221$⪢$4899$","expression":"(⪎⋱⫍637+⇶⊼⪎⋱⫍1B18)∑⇟⊟⪎⋱⫍72C⪢⪎⋱⫍22CB","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4901,"operation_count":3,"complexity_ratio":1633.6666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1060,"base":13},"right_expr":{"type":"numeric_atoms","value":4077,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1221,"base":13},"right_expr":{"type":"numeric_atoms","value":4899,"base":13}}},"used_operators":["U7g4x0WXJJ","TpPTUOHfaN","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1060","layer":2},{"info":"number node, value=4077","layer":2},{"info":"compute binary expreesion, left_input=1060, right_input=4077, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1221","layer":2},{"info":"number node, value=4899","layer":2},{"info":"compute binary expreesion, left_input=1221, right_input=4899, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍637+⇶⊼⪎⋱⫍1B18)∑⇟⊟⪎⋱⫍72C⪢⪎⋱⫍22CB=NaN","reverse_text":"NaN=(⪎⋱⫍637+⇶⊼⪎⋱⫍1B18)∑⇟⊟⪎⋱⫍72C⪢⪎⋱⫍22CB","cot":[{"info":"⪎⋱⫍637+⇶⊼⪎⋱⫍1B18=NaN","layer":1},{"info":"⪎⋱⫍72C⪢⪎⋱⫍22CB=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"($2086$%$6046$)*($1387$≣⋋)","expression":"(⪎⋱⫍C46%⪎⋱⫍29A1)*(⪎⋱⫍829≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":516,"operation_count":3,"complexity_ratio":172.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2086,"base":13},"right_expr":{"type":"numeric_atoms","value":6046,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1387,"base":13}}},"used_operators":["9HNa5Wba9A","k8jYdgA6NY","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2086","layer":2},{"info":"number node, value=6046","layer":2},{"info":"compute binary expreesion, left_input=2086, right_input=6046, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2086","layer":1},{"info":"number node, value=1387","layer":2},{"info":"compute unary expreesion, input=1387, 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=2086, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C46%⪎⋱⫍29A1)*(⪎⋱⫍829≣⋋)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍C46%⪎⋱⫍29A1)*(⪎⋱⫍829≣⋋)","cot":[{"info":"⪎⋱⫍C46%⪎⋱⫍29A1=⪎⋱⫍C46","layer":1},{"info":"⪎⋱⫍829≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍C46*⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":612,"expression_no_base_symbol":"($1648$⫸⊐$3665$)↙($2009$⪒$2289$)","expression":"(⪎⋱⫍99A⫸⊐⪎⋱⫍188C)↙(⪎⋱⫍BB7⪒⪎⋱⫍1071)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4328,"operation_count":3,"complexity_ratio":1442.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1648,"base":13},"right_expr":{"type":"numeric_atoms","value":3665,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2009,"base":13},"right_expr":{"type":"numeric_atoms","value":2289,"base":13}}},"used_operators":["yyfyN0ffXY","mqXw5SEYmG","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍5B3B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1648","layer":2},{"info":"number node, value=3665","layer":2},{"info":"compute binary expreesion, left_input=1648, right_input=3665, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14535","layer":1},{"info":"number node, value=2009","layer":2},{"info":"number node, value=2289","layer":2},{"info":"compute binary expreesion, left_input=2009, right_input=2289, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4298","layer":1},{"info":"compute binary expreesion, left_input=14535, right_input=-4298, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=12894","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍99A⫸⊐⪎⋱⫍188C)↙(⪎⋱⫍BB7⪒⪎⋱⫍1071)=⪎⋱⫍5B3B","reverse_text":"⪎⋱⫍5B3B=(⪎⋱⫍99A⫸⊐⪎⋱⫍188C)↙(⪎⋱⫍BB7⪒⪎⋱⫍1071)","cot":[{"info":"⪎⋱⫍99A⫸⊐⪎⋱⫍188C=⪎⋱⫍6801","layer":1},{"info":"⪎⋱⫍BB7⪒⪎⋱⫍1071=⪎⋱⫍-1C58","layer":1},{"info":"⪎⋱⫍6801↙⪎⋱⫍-1C58=⪎⋱⫍5B3B","layer":0}]}
{"id":613,"expression_no_base_symbol":"(∥⊫$1077$)%$2735$⩷∴$1675$","expression":"(∥⊫⪎⋱⫍64B)%⪎⋱⫍1325⩷∴⪎⋱⫍9BB","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2735,"base":13},"right_expr":{"type":"numeric_atoms","value":1675,"base":13}}},"used_operators":["k8jYdgA6NY","P8v4zCKN1o","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍B68","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1077","layer":2},{"info":"compute unary expreesion, input=1077, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1945","layer":1},{"info":"number node, value=2735","layer":2},{"info":"number node, value=1675","layer":2},{"info":"compute binary expreesion, left_input=2735, right_input=1675, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2088","layer":1},{"info":"compute binary expreesion, left_input=1945, right_input=2088, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1945","layer":0}],"base":13,"result_base":13,"text":"(∥⊫⪎⋱⫍64B)%⪎⋱⫍1325⩷∴⪎⋱⫍9BB=⪎⋱⫍B68","reverse_text":"⪎⋱⫍B68=(∥⊫⪎⋱⫍64B)%⪎⋱⫍1325⩷∴⪎⋱⫍9BB","cot":[{"info":"∥⊫⪎⋱⫍64B=⪎⋱⫍B68","layer":1},{"info":"⪎⋱⫍1325⩷∴⪎⋱⫍9BB=⪎⋱⫍C48","layer":1},{"info":"⪎⋱⫍B68%⪎⋱⫍C48=⪎⋱⫍B68","layer":0}]}
{"id":614,"expression_no_base_symbol":"($1464$⨽$5876$)⋝⋈⪟($3072$⇋≉)","expression":"(⪎⋱⫍888⨽⪎⋱⫍28A0)⋝⋈⪟(⪎⋱⫍1524⇋≉)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1479,"operation_count":3,"complexity_ratio":493.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1464,"base":13},"right_expr":{"type":"numeric_atoms","value":5876,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3072,"base":13}}},"used_operators":["2DDjHMKMc0","8HhzD0ZcuI","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-1449129","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":2},{"info":"number node, value=5876","layer":2},{"info":"compute binary expreesion, left_input=1464, right_input=5876, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6446202","layer":1},{"info":"number node, value=3072","layer":2},{"info":"compute unary expreesion, input=3072, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6046","layer":1},{"info":"compute binary expreesion, left_input=-6446202, right_input=6046, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6446202","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍888⨽⪎⋱⫍28A0)⋝⋈⪟(⪎⋱⫍1524⇋≉)=⪎⋱⫍-1449129","reverse_text":"⪎⋱⫍-1449129=(⪎⋱⫍888⨽⪎⋱⫍28A0)⋝⋈⪟(⪎⋱⫍1524⇋≉)","cot":[{"info":"⪎⋱⫍888⨽⪎⋱⫍28A0=⪎⋱⫍-1449129","layer":1},{"info":"⪎⋱⫍1524⇋≉=⪎⋱⫍29A1","layer":1},{"info":"⪎⋱⫍-1449129⋝⋈⪟⪎⋱⫍29A1=⪎⋱⫍-1449129","layer":0}]}
{"id":615,"expression_no_base_symbol":"($2256$⩠)⪒($1969$≣⋋)","expression":"(⪎⋱⫍1047⩠)⪒(⪎⋱⫍B86≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":535,"operation_count":3,"complexity_ratio":178.33333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2256,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1969,"base":13}}},"used_operators":["f6k1SAg4EE","sJAwomhLZr","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2256","layer":2},{"info":"compute unary expreesion, input=2256, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1969","layer":2},{"info":"compute unary expreesion, input=1969, 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=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1047⩠)⪒(⪎⋱⫍B86≣⋋)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1047⩠)⪒(⪎⋱⫍B86≣⋋)","cot":[{"info":"⪎⋱⫍1047⩠=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍B86≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⪒⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":616,"expression_no_base_symbol":"∥⊫$1123$↙$3592$","expression":"∥⊫⪎⋱⫍685↙⪎⋱⫍1834","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3598,"operation_count":2,"complexity_ratio":1799.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1123,"base":13},"right_expr":{"type":"numeric_atoms","value":3592,"base":13}}},"used_operators":["P8v4zCKN1o","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=3592","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=3592, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10776","layer":1},{"info":"compute unary expreesion, input=-10776, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫⪎⋱⫍685↙⪎⋱⫍1834=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫⪎⋱⫍685↙⪎⋱⫍1834","cot":[{"info":"⪎⋱⫍685↙⪎⋱⫍1834=⪎⋱⫍-4B9C","layer":1},{"info":"∥⊫⪎⋱⫍-4B9C=⪎⋱⫍-43","layer":0}]}
{"id":617,"expression_no_base_symbol":"($1083$⪘⫢$4283$)⩠","expression":"(⪎⋱⫍654⪘⫢⪎⋱⫍1C46)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1083,"base":13},"right_expr":{"type":"numeric_atoms","value":4283,"base":13}}},"used_operators":["sJAwomhLZr","oacrs7FA3X"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=4283","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=4283, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2042","layer":1},{"info":"compute unary expreesion, input=2042, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍654⪘⫢⪎⋱⫍1C46)⩠=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍654⪘⫢⪎⋱⫍1C46)⩠","cot":[{"info":"⪎⋱⫍654⪘⫢⪎⋱⫍1C46=⪎⋱⫍C11","layer":1},{"info":"⪎⋱⫍C11⩠=⪎⋱⫍0","layer":0}]}
{"id":618,"expression_no_base_symbol":"≦∁(↽≂$1251$)","expression":"≦∁(↽≂⪎⋱⫍753)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":2,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1251,"base":13}}},"used_operators":["9ICcGScMcE","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":2},{"info":"compute unary expreesion, input=1251, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2502","layer":1},{"info":"compute unary expreesion, input=-2502, 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":13,"result_base":13,"text":"≦∁(↽≂⪎⋱⫍753)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=≦∁(↽≂⪎⋱⫍753)","cot":[{"info":"↽≂⪎⋱⫍753=⪎⋱⫍-11A6","layer":1},{"info":"≦∁⪎⋱⫍-11A6=⪎⋱⫍52","layer":0}]}
{"id":619,"expression_no_base_symbol":"($1174$∧)⩤","expression":"(⪎⋱⫍6C4∧)⩤","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1174,"base":13}}},"used_operators":["Z2TMIBDE3Q","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1174","layer":2},{"info":"compute unary expreesion, input=1174, 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 unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6C4∧)⩤=NaN","reverse_text":"NaN=(⪎⋱⫍6C4∧)⩤","cot":[{"info":"⪎⋱⫍6C4∧=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"$1054$⨽$2130$⋷$3111$⪛$1695$","expression":"⪎⋱⫍631⨽⪎⋱⫍C7B⋷⪎⋱⫍1554⪛⪎⋱⫍A05","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1069,"operation_count":3,"complexity_ratio":356.3333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1054,"base":13},"right_expr":{"type":"numeric_atoms","value":2130,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3111,"base":13},"right_expr":{"type":"numeric_atoms","value":1695,"base":13}}},"used_operators":["23Mk6UjR3U","8HhzD0ZcuI","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍14C96B5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":2},{"info":"number node, value=2130","layer":2},{"info":"compute binary expreesion, left_input=1054, right_input=2130, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3337824","layer":1},{"info":"number node, value=3111","layer":2},{"info":"number node, value=1695","layer":2},{"info":"compute binary expreesion, left_input=3111, right_input=1695, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1416","layer":1},{"info":"compute binary expreesion, left_input=-3337824, right_input=1416, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6675648","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍631⨽⪎⋱⫍C7B⋷⪎⋱⫍1554⪛⪎⋱⫍A05=⪎⋱⫍14C96B5","reverse_text":"⪎⋱⫍14C96B5=⪎⋱⫍631⨽⪎⋱⫍C7B⋷⪎⋱⫍1554⪛⪎⋱⫍A05","cot":[{"info":"⪎⋱⫍631⨽⪎⋱⫍C7B=⪎⋱⫍-8CB359","layer":1},{"info":"⪎⋱⫍1554⪛⪎⋱⫍A05=⪎⋱⫍84C","layer":1},{"info":"⪎⋱⫍-8CB359⋷⪎⋱⫍84C=⪎⋱⫍14C96B5","layer":0}]}
{"id":621,"expression_no_base_symbol":"(∂$3065$)⪨≂($1145$≋⫹)","expression":"(∂⪎⋱⫍151A)⪨≂(⪎⋱⫍6A1≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3065,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1145,"base":13}}},"used_operators":["sdazOOVcIp","Uaa54Peajs","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3065","layer":2},{"info":"compute unary expreesion, input=3065, 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=1145","layer":2},{"info":"compute unary expreesion, input=1145, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2290","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2290, op_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":13,"result_base":13,"text":"(∂⪎⋱⫍151A)⪨≂(⪎⋱⫍6A1≋⫹)=NaN","reverse_text":"NaN=(∂⪎⋱⫍151A)⪨≂(⪎⋱⫍6A1≋⫹)","cot":[{"info":"∂⪎⋱⫍151A=NaN","layer":1},{"info":"⪎⋱⫍6A1≋⫹=⪎⋱⫍-1072","layer":1},{"info":"NaN⪨≂⪎⋱⫍-1072=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"⇁⨣⪵(⨞⊢$2761$)","expression":"⇁⨣⪵(⨞⊢⪎⋱⫍1345)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2761,"base":13}}},"used_operators":["inkyxCbjAn","xUOZtlo3hN"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2761","layer":2},{"info":"compute unary expreesion, input=2761, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2935","layer":1},{"info":"compute unary expreesion, input=-2935, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⨞⊢⪎⋱⫍1345)=NaN","reverse_text":"NaN=⇁⨣⪵(⨞⊢⪎⋱⫍1345)","cot":[{"info":"⨞⊢⪎⋱⫍1345=⪎⋱⫍-144A","layer":1},{"info":"⇁⨣⪵⪎⋱⫍-144A=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"(∂$3464$)⨟⋌⩍($6175$∲⫓$1683$)","expression":"(∂⪎⋱⫍1766)⨟⋌⩍(⪎⋱⫍2A70∲⫓⪎⋱⫍9C6)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3464,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6175,"base":13},"right_expr":{"type":"numeric_atoms","value":1683,"base":13}}},"used_operators":["rGHVDoGpnC","Uaa54Peajs","i8ToyICDmI"],"dependent_operators":["Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3464","layer":2},{"info":"compute unary expreesion, input=3464, 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=6175","layer":2},{"info":"number node, value=1683","layer":2},{"info":"compute binary expreesion, left_input=6175, right_input=1683, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(∂⪎⋱⫍1766)⨟⋌⩍(⪎⋱⫍2A70∲⫓⪎⋱⫍9C6)=NaN","reverse_text":"NaN=(∂⪎⋱⫍1766)⨟⋌⩍(⪎⋱⫍2A70∲⫓⪎⋱⫍9C6)","cot":[{"info":"∂⪎⋱⫍1766=NaN","layer":1},{"info":"⪎⋱⫍2A70∲⫓⪎⋱⫍9C6=⪎⋱⫍0","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍0=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"(⩦⩻⨪$9203$)↺$3568$⪛$5741$","expression":"(⩦⩻⨪⪎⋱⫍425C)↺⪎⋱⫍1816⪛⪎⋱⫍27C8","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":9203,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3568,"base":13},"right_expr":{"type":"numeric_atoms","value":5741,"base":13}}},"used_operators":["7j4O788W3g","2td37pGCOC","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍1816","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9203","layer":2},{"info":"compute unary expreesion, input=9203, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=9203","layer":1},{"info":"number node, value=3568","layer":2},{"info":"number node, value=5741","layer":2},{"info":"compute binary expreesion, left_input=3568, right_input=5741, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3568","layer":1},{"info":"compute binary expreesion, left_input=9203, right_input=3568, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3568","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍425C)↺⪎⋱⫍1816⪛⪎⋱⫍27C8=⪎⋱⫍1816","reverse_text":"⪎⋱⫍1816=(⩦⩻⨪⪎⋱⫍425C)↺⪎⋱⫍1816⪛⪎⋱⫍27C8","cot":[{"info":"⩦⩻⨪⪎⋱⫍425C=⪎⋱⫍425C","layer":1},{"info":"⪎⋱⫍1816⪛⪎⋱⫍27C8=⪎⋱⫍1816","layer":1},{"info":"⪎⋱⫍425C↺⪎⋱⫍1816=⪎⋱⫍1816","layer":0}]}
{"id":625,"expression_no_base_symbol":"≉$2744$⨓$1403$","expression":"≉⪎⋱⫍1331⨓⪎⋱⫍83C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1410,"operation_count":2,"complexity_ratio":705.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2744,"base":13},"right_expr":{"type":"numeric_atoms","value":1403,"base":13}}},"used_operators":["e1ybzncUwg","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-842","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2744","layer":2},{"info":"number node, value=1403","layer":2},{"info":"compute binary expreesion, left_input=2744, right_input=1403, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1406","layer":1},{"info":"compute unary expreesion, input=-1406, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1406","layer":0}],"base":13,"result_base":13,"text":"≉⪎⋱⫍1331⨓⪎⋱⫍83C=⪎⋱⫍-842","reverse_text":"⪎⋱⫍-842=≉⪎⋱⫍1331⨓⪎⋱⫍83C","cot":[{"info":"⪎⋱⫍1331⨓⪎⋱⫍83C=⪎⋱⫍-842","layer":1},{"info":"≉⪎⋱⫍-842=⪎⋱⫍-842","layer":0}]}
{"id":626,"expression_no_base_symbol":"($3300$↺$4030$)⊴$1963$≹⇙⪍$1504$","expression":"(⪎⋱⫍166B↺⪎⋱⫍1AB0)⊴⪎⋱⫍B80≹⇙⪍⪎⋱⫍8B9","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3300,"base":13},"right_expr":{"type":"numeric_atoms","value":4030,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1963,"base":13},"right_expr":{"type":"numeric_atoms","value":1504,"base":13}}},"used_operators":["Nsiff2A1zJ","7j4O788W3g","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3300","layer":2},{"info":"number node, value=4030","layer":2},{"info":"compute binary expreesion, left_input=3300, right_input=4030, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4030","layer":1},{"info":"number node, value=1963","layer":2},{"info":"number node, value=1504","layer":2},{"info":"compute binary expreesion, left_input=1963, right_input=1504, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4030, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍166B↺⪎⋱⫍1AB0)⊴⪎⋱⫍B80≹⇙⪍⪎⋱⫍8B9=NaN","reverse_text":"NaN=(⪎⋱⫍166B↺⪎⋱⫍1AB0)⊴⪎⋱⫍B80≹⇙⪍⪎⋱⫍8B9","cot":[{"info":"⪎⋱⫍166B↺⪎⋱⫍1AB0=⪎⋱⫍1AB0","layer":1},{"info":"⪎⋱⫍B80≹⇙⪍⪎⋱⫍8B9=NaN","layer":1},{"info":"⪎⋱⫍1AB0⊴NaN=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"($2550$⫥∨⫟$1088$)≎⊠⪸($2520$⪄$1005$)","expression":"(⪎⋱⫍1212⫥∨⫟⪎⋱⫍659)≎⊠⪸(⪎⋱⫍11BB⪄⪎⋱⫍5C4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":260,"operation_count":3,"complexity_ratio":86.66666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2550,"base":13},"right_expr":{"type":"numeric_atoms","value":1088,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2520,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}}},"used_operators":["bJkvcejdHO","KYD54nUTWz","SUmda5xLS4"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":2},{"info":"number node, value=1088","layer":2},{"info":"compute binary expreesion, left_input=2550, right_input=1088, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2520","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=2520, right_input=1005, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-373069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-373069, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1212⫥∨⫟⪎⋱⫍659)≎⊠⪸(⪎⋱⫍11BB⪄⪎⋱⫍5C4)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍1212⫥∨⫟⪎⋱⫍659)≎⊠⪸(⪎⋱⫍11BB⪄⪎⋱⫍5C4)","cot":[{"info":"⪎⋱⫍1212⫥∨⫟⪎⋱⫍659=NaN","layer":1},{"info":"⪎⋱⫍11BB⪄⪎⋱⫍5C4=⪎⋱⫍-100A68","layer":1},{"info":"NaN≎⊠⪸⪎⋱⫍-100A68=⪎⋱⫍52","layer":0}]}
{"id":628,"expression_no_base_symbol":"↽≂($2648$⪄$1187$)","expression":"↽≂(⪎⋱⫍1289⪄⪎⋱⫍704)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":98,"operation_count":2,"complexity_ratio":49.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2648,"base":13},"right_expr":{"type":"numeric_atoms","value":1187,"base":13}}},"used_operators":["u6S6b8DprG","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍2166A9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":2},{"info":"number node, value=1187","layer":2},{"info":"compute binary expreesion, left_input=2648, right_input=1187, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-392741","layer":1},{"info":"compute unary expreesion, input=-392741, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=785482","layer":0}],"base":13,"result_base":13,"text":"↽≂(⪎⋱⫍1289⪄⪎⋱⫍704)=⪎⋱⫍2166A9","reverse_text":"⪎⋱⫍2166A9=↽≂(⪎⋱⫍1289⪄⪎⋱⫍704)","cot":[{"info":"⪎⋱⫍1289⪄⪎⋱⫍704=⪎⋱⫍-1099BB","layer":1},{"info":"↽≂⪎⋱⫍-1099BB=⪎⋱⫍2166A9","layer":0}]}
{"id":629,"expression_no_base_symbol":"$1764$⩨$5863$∲⫓$2998$⨳⩥⨓$4601$","expression":"⪎⋱⫍A59⩨⪎⋱⫍2890∲⫓⪎⋱⫍1498⨳⩥⨓⪎⋱⫍212C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1764,"base":13},"right_expr":{"type":"numeric_atoms","value":5863,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2998,"base":13},"right_expr":{"type":"numeric_atoms","value":4601,"base":13}}},"used_operators":["i8ToyICDmI","2DlMacCsIx","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1764","layer":2},{"info":"number node, value=5863","layer":2},{"info":"compute binary expreesion, left_input=1764, right_input=5863, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=2998","layer":2},{"info":"number node, value=4601","layer":2},{"info":"compute binary expreesion, left_input=2998, right_input=4601, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1603","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=1603, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A59⩨⪎⋱⫍2890∲⫓⪎⋱⫍1498⨳⩥⨓⪎⋱⫍212C=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍A59⩨⪎⋱⫍2890∲⫓⪎⋱⫍1498⨳⩥⨓⪎⋱⫍212C","cot":[{"info":"⪎⋱⫍A59⩨⪎⋱⫍2890=⪎⋱⫍-9","layer":1},{"info":"⪎⋱⫍1498⨳⩥⨓⪎⋱⫍212C=⪎⋱⫍964","layer":1},{"info":"⪎⋱⫍-9∲⫓⪎⋱⫍964=⪎⋱⫍0","layer":0}]}
{"id":630,"expression_no_base_symbol":"$4593$⨟⋌⩍$2016$⋝⋈⪟($4244$⫡⨏$2411$)","expression":"⪎⋱⫍2124⨟⋌⩍⪎⋱⫍BC1⋝⋈⪟(⪎⋱⫍1C16⫡⨏⪎⋱⫍1136)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4593,"base":13},"right_expr":{"type":"numeric_atoms","value":2016,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4244,"base":13},"right_expr":{"type":"numeric_atoms","value":2411,"base":13}}},"used_operators":["2DDjHMKMc0","rGHVDoGpnC","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4593","layer":2},{"info":"number node, value=2016","layer":2},{"info":"compute binary expreesion, left_input=4593, right_input=2016, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4244","layer":2},{"info":"number node, value=2411","layer":2},{"info":"compute binary expreesion, left_input=4244, right_input=2411, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26825","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=26825, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2124⨟⋌⩍⪎⋱⫍BC1⋝⋈⪟(⪎⋱⫍1C16⫡⨏⪎⋱⫍1136)=NaN","reverse_text":"NaN=⪎⋱⫍2124⨟⋌⩍⪎⋱⫍BC1⋝⋈⪟(⪎⋱⫍1C16⫡⨏⪎⋱⫍1136)","cot":[{"info":"⪎⋱⫍2124⨟⋌⩍⪎⋱⫍BC1=NaN","layer":1},{"info":"⪎⋱⫍1C16⫡⨏⪎⋱⫍1136=⪎⋱⫍C296","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍C296=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"$1998$≧⫂∧$3915$%$2310$⨐⩸⫘$2894$","expression":"⪎⋱⫍BA9≧⫂∧⪎⋱⫍1A22%⪎⋱⫍1089⨐⩸⫘⪎⋱⫍1418","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1998,"base":13},"right_expr":{"type":"numeric_atoms","value":3915,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2310,"base":13},"right_expr":{"type":"numeric_atoms","value":2894,"base":13}}},"used_operators":["k8jYdgA6NY","Ph9nP6C5qx","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1998","layer":2},{"info":"number node, value=3915","layer":2},{"info":"compute binary expreesion, left_input=1998, right_input=3915, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3442","layer":1},{"info":"number node, value=2310","layer":2},{"info":"number node, value=2894","layer":2},{"info":"compute binary expreesion, left_input=2310, right_input=2894, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3442, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍BA9≧⫂∧⪎⋱⫍1A22%⪎⋱⫍1089⨐⩸⫘⪎⋱⫍1418=NaN","reverse_text":"NaN=⪎⋱⫍BA9≧⫂∧⪎⋱⫍1A22%⪎⋱⫍1089⨐⩸⫘⪎⋱⫍1418","cot":[{"info":"⪎⋱⫍BA9≧⫂∧⪎⋱⫍1A22=⪎⋱⫍174A","layer":1},{"info":"⪎⋱⫍1089⨐⩸⫘⪎⋱⫍1418=NaN","layer":1},{"info":"⪎⋱⫍174A%NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"∂$5474$⇷$3637$","expression":"∂⪎⋱⫍2651⇷⪎⋱⫍186A","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":76643,"operation_count":2,"complexity_ratio":38321.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5474,"base":13},"right_expr":{"type":"numeric_atoms","value":3637,"base":13}}},"used_operators":["Uaa54Peajs","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5474","layer":2},{"info":"number node, value=3637","layer":2},{"info":"compute binary expreesion, left_input=5474, right_input=3637, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7274","layer":1},{"info":"compute unary expreesion, input=7274, 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":13,"result_base":13,"text":"∂⪎⋱⫍2651⇷⪎⋱⫍186A=NaN","reverse_text":"NaN=∂⪎⋱⫍2651⇷⪎⋱⫍186A","cot":[{"info":"⪎⋱⫍2651⇷⪎⋱⫍186A=⪎⋱⫍3407","layer":1},{"info":"∂⪎⋱⫍3407=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"$3203$⨰$2125$⨳⩥⨓$1479$≭$1025$","expression":"⪎⋱⫍15C5⨰⪎⋱⫍C76⨳⩥⨓⪎⋱⫍89A≭⪎⋱⫍60B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3203,"base":13},"right_expr":{"type":"numeric_atoms","value":2125,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1479,"base":13},"right_expr":{"type":"numeric_atoms","value":1025,"base":13}}},"used_operators":["nCS4ZIUYfx","eewbuw0ToL","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3203","layer":2},{"info":"number node, value=2125","layer":2},{"info":"compute binary expreesion, left_input=3203, right_input=2125, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1088","layer":1},{"info":"number node, value=1479","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=1479, right_input=1025, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1088, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍15C5⨰⪎⋱⫍C76⨳⩥⨓⪎⋱⫍89A≭⪎⋱⫍60B=NaN","reverse_text":"NaN=⪎⋱⫍15C5⨰⪎⋱⫍C76⨳⩥⨓⪎⋱⫍89A≭⪎⋱⫍60B","cot":[{"info":"⪎⋱⫍15C5⨰⪎⋱⫍C76=⪎⋱⫍659","layer":1},{"info":"⪎⋱⫍89A≭⪎⋱⫍60B=NaN","layer":1},{"info":"⪎⋱⫍659⨳⩥⨓NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"(⨞⊢$1353$)/$4137$⪘⫢$7461$","expression":"(⨞⊢⪎⋱⫍801)/⪎⋱⫍1B63⪘⫢⪎⋱⫍351C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1353,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4137,"base":13},"right_expr":{"type":"numeric_atoms","value":7461,"base":13}}},"used_operators":["XhwjNDsVaA","xUOZtlo3hN","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1353","layer":2},{"info":"compute unary expreesion, input=1353, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1527","layer":1},{"info":"number node, value=4137","layer":2},{"info":"number node, value=7461","layer":2},{"info":"compute binary expreesion, left_input=4137, right_input=7461, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8150","layer":1},{"info":"compute binary expreesion, left_input=-1527, right_input=8150, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍801)/⪎⋱⫍1B63⪘⫢⪎⋱⫍351C=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=(⨞⊢⪎⋱⫍801)/⪎⋱⫍1B63⪘⫢⪎⋱⫍351C","cot":[{"info":"⨞⊢⪎⋱⫍801=⪎⋱⫍-906","layer":1},{"info":"⪎⋱⫍1B63⪘⫢⪎⋱⫍351C=⪎⋱⫍392C","layer":1},{"info":"⪎⋱⫍-906/⪎⋱⫍392C=⪎⋱⫍-1","layer":0}]}
{"id":635,"expression_no_base_symbol":"⩦⩻⨪(↩$3907$)","expression":"⩦⩻⨪(↩⪎⋱⫍1A17)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3907,"base":13}}},"used_operators":["2td37pGCOC","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-CC66","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3907","layer":2},{"info":"compute unary expreesion, input=3907, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-28476","layer":1},{"info":"compute unary expreesion, input=-28476, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-28476","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(↩⪎⋱⫍1A17)=⪎⋱⫍-CC66","reverse_text":"⪎⋱⫍-CC66=⩦⩻⨪(↩⪎⋱⫍1A17)","cot":[{"info":"↩⪎⋱⫍1A17=⪎⋱⫍-CC66","layer":1},{"info":"⩦⩻⨪⪎⋱⫍-CC66=⪎⋱⫍-CC66","layer":0}]}
{"id":636,"expression_no_base_symbol":"($2656$-$1567$)⩚⊴⇥($4230$/$1148$)","expression":"(⪎⋱⫍1294-⪎⋱⫍937)⩚⊴⇥(⪎⋱⫍1C05/⪎⋱⫍6A4)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2656,"base":13},"right_expr":{"type":"numeric_atoms","value":1567,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4230,"base":13},"right_expr":{"type":"numeric_atoms","value":1148,"base":13}}},"used_operators":["NTOWxs364D","rysDP5nf3Z","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"⪎⋱⫍-724","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2656","layer":2},{"info":"number node, value=1567","layer":2},{"info":"compute binary expreesion, left_input=2656, right_input=1567, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1089","layer":1},{"info":"number node, value=4230","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=4230, right_input=1148, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=1089, right_input=3, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1213","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1294-⪎⋱⫍937)⩚⊴⇥(⪎⋱⫍1C05/⪎⋱⫍6A4)=⪎⋱⫍-724","reverse_text":"⪎⋱⫍-724=(⪎⋱⫍1294-⪎⋱⫍937)⩚⊴⇥(⪎⋱⫍1C05/⪎⋱⫍6A4)","cot":[{"info":"⪎⋱⫍1294-⪎⋱⫍937=⪎⋱⫍65A","layer":1},{"info":"⪎⋱⫍1C05/⪎⋱⫍6A4=⪎⋱⫍3","layer":1},{"info":"⪎⋱⫍65A⩚⊴⇥⪎⋱⫍3=⪎⋱⫍-724","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⨈⫕$1021$)∼($1028$∧)","expression":"(⨈⫕⪎⋱⫍607)∼(⪎⋱⫍611∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":395,"operation_count":3,"complexity_ratio":131.66666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1021,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1028,"base":13}}},"used_operators":["DyGG3AbaNP","megm06wKyl","z63VuFQld9"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1021","layer":2},{"info":"compute unary expreesion, input=1021, 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=1028","layer":2},{"info":"compute unary expreesion, input=1028, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍607)∼(⪎⋱⫍611∧)=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍607)∼(⪎⋱⫍611∧)","cot":[{"info":"⨈⫕⪎⋱⫍607=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍611∧=NaN","layer":1},{"info":"⪎⋱⫍-18∼NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"($5666$⪘⫢$1225$)⪮%⊝($5997$⊉≛↸$1788$)","expression":"(⪎⋱⫍276B⪘⫢⪎⋱⫍733)⪮%⊝(⪎⋱⫍2964⊉≛↸⪎⋱⫍A77)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5666,"base":13},"right_expr":{"type":"numeric_atoms","value":1225,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5997,"base":13},"right_expr":{"type":"numeric_atoms","value":1788,"base":13}}},"used_operators":["IWmyXbctLI","oacrs7FA3X","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍A468","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5666","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=5666, right_input=1225, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11208","layer":1},{"info":"number node, value=5997","layer":2},{"info":"number node, value=1788","layer":2},{"info":"compute binary expreesion, left_input=5997, right_input=1788, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11994","layer":1},{"info":"compute binary expreesion, left_input=11208, right_input=11994, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=22732","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍276B⪘⫢⪎⋱⫍733)⪮%⊝(⪎⋱⫍2964⊉≛↸⪎⋱⫍A77)=⪎⋱⫍A468","reverse_text":"⪎⋱⫍A468=(⪎⋱⫍276B⪘⫢⪎⋱⫍733)⪮%⊝(⪎⋱⫍2964⊉≛↸⪎⋱⫍A77)","cot":[{"info":"⪎⋱⫍276B⪘⫢⪎⋱⫍733=⪎⋱⫍5142","layer":1},{"info":"⪎⋱⫍2964⊉≛↸⪎⋱⫍A77=⪎⋱⫍55C8","layer":1},{"info":"⪎⋱⫍5142⪮%⊝⪎⋱⫍55C8=⪎⋱⫍A468","layer":0}]}
{"id":639,"expression_no_base_symbol":"$2401$⨟⋌⩍$7108$⨵⪆($1155$/$1125$)","expression":"⪎⋱⫍1129⨟⋌⩍⪎⋱⫍330A⨵⪆(⪎⋱⫍6AB/⪎⋱⫍687)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2401,"base":13},"right_expr":{"type":"numeric_atoms","value":7108,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1155,"base":13},"right_expr":{"type":"numeric_atoms","value":1125,"base":13}}},"used_operators":["2DQ55sFlQl","rGHVDoGpnC","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2401","layer":2},{"info":"number node, value=7108","layer":2},{"info":"compute binary expreesion, left_input=2401, right_input=7108, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1155","layer":2},{"info":"number node, value=1125","layer":2},{"info":"compute binary expreesion, left_input=1155, right_input=1125, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"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":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1129⨟⋌⩍⪎⋱⫍330A⨵⪆(⪎⋱⫍6AB/⪎⋱⫍687)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍1129⨟⋌⩍⪎⋱⫍330A⨵⪆(⪎⋱⫍6AB/⪎⋱⫍687)","cot":[{"info":"⪎⋱⫍1129⨟⋌⩍⪎⋱⫍330A=NaN","layer":1},{"info":"⪎⋱⫍6AB/⪎⋱⫍687=⪎⋱⫍1","layer":1},{"info":"NaN⨵⪆⪎⋱⫍1=⪎⋱⫍C4","layer":0}]}
{"id":640,"expression_no_base_symbol":"($4657$⊉≛↸$2353$)⪘⫢(⊥$1186$)","expression":"(⪎⋱⫍2173⊉≛↸⪎⋱⫍10C0)⪘⫢(⊥⪎⋱⫍703)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4657,"base":13},"right_expr":{"type":"numeric_atoms","value":2353,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1186,"base":13}}},"used_operators":["oacrs7FA3X","DZ8iAZOCBD","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4657","layer":2},{"info":"number node, value=2353","layer":2},{"info":"compute binary expreesion, left_input=4657, right_input=2353, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9314","layer":1},{"info":"number node, value=1186","layer":2},{"info":"compute unary expreesion, input=1186, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9314, 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":13,"result_base":13,"text":"(⪎⋱⫍2173⊉≛↸⪎⋱⫍10C0)⪘⫢(⊥⪎⋱⫍703)=NaN","reverse_text":"NaN=(⪎⋱⫍2173⊉≛↸⪎⋱⫍10C0)⪘⫢(⊥⪎⋱⫍703)","cot":[{"info":"⪎⋱⫍2173⊉≛↸⪎⋱⫍10C0=⪎⋱⫍4316","layer":1},{"info":"⊥⪎⋱⫍703=NaN","layer":1},{"info":"⪎⋱⫍4316⪘⫢NaN=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"($2580$-$1526$)⨐⩸⫘$1316$+⇶⊼$5366$","expression":"(⪎⋱⫍1236-⪎⋱⫍905)⨐⩸⫘⪎⋱⫍7A3+⇶⊼⪎⋱⫍259A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2580,"base":13},"right_expr":{"type":"numeric_atoms","value":1526,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1316,"base":13},"right_expr":{"type":"numeric_atoms","value":5366,"base":13}}},"used_operators":["fu6greOZ01","rysDP5nf3Z","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2580","layer":2},{"info":"number node, value=1526","layer":2},{"info":"compute binary expreesion, left_input=2580, right_input=1526, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1054","layer":1},{"info":"number node, value=1316","layer":2},{"info":"number node, value=5366","layer":2},{"info":"compute binary expreesion, left_input=1316, right_input=5366, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1054, 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":13,"result_base":13,"text":"(⪎⋱⫍1236-⪎⋱⫍905)⨐⩸⫘⪎⋱⫍7A3+⇶⊼⪎⋱⫍259A=NaN","reverse_text":"NaN=(⪎⋱⫍1236-⪎⋱⫍905)⨐⩸⫘⪎⋱⫍7A3+⇶⊼⪎⋱⫍259A","cot":[{"info":"⪎⋱⫍1236-⪎⋱⫍905=⪎⋱⫍631","layer":1},{"info":"⪎⋱⫍7A3+⇶⊼⪎⋱⫍259A=NaN","layer":1},{"info":"⪎⋱⫍631⨐⩸⫘NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"≉$3792$⋝⋈⪟$3088$","expression":"≉⪎⋱⫍1959⋝⋈⪟⪎⋱⫍1537","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3792,"base":13},"right_expr":{"type":"numeric_atoms","value":3088,"base":13}}},"used_operators":["e1ybzncUwg","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1C77","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3792","layer":2},{"info":"number node, value=3088","layer":2},{"info":"compute binary expreesion, left_input=3792, right_input=3088, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3792","layer":1},{"info":"compute unary expreesion, input=3792, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4323","layer":0}],"base":13,"result_base":13,"text":"≉⪎⋱⫍1959⋝⋈⪟⪎⋱⫍1537=⪎⋱⫍1C77","reverse_text":"⪎⋱⫍1C77=≉⪎⋱⫍1959⋝⋈⪟⪎⋱⫍1537","cot":[{"info":"⪎⋱⫍1959⋝⋈⪟⪎⋱⫍1537=⪎⋱⫍1959","layer":1},{"info":"≉⪎⋱⫍1959=⪎⋱⫍1C77","layer":0}]}
{"id":643,"expression_no_base_symbol":"($2447$⊭↱$3975$)⇋≉","expression":"(⪎⋱⫍1163⊭↱⪎⋱⫍1A6A)⇋≉","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2447,"base":13},"right_expr":{"type":"numeric_atoms","value":3975,"base":13}}},"used_operators":["XIabStNQrY","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2985","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2447","layer":2},{"info":"number node, value=3975","layer":2},{"info":"compute binary expreesion, left_input=2447, right_input=3975, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3061","layer":1},{"info":"compute unary expreesion, input=3061, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6024","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1163⊭↱⪎⋱⫍1A6A)⇋≉=⪎⋱⫍2985","reverse_text":"⪎⋱⫍2985=(⪎⋱⫍1163⊭↱⪎⋱⫍1A6A)⇋≉","cot":[{"info":"⪎⋱⫍1163⊭↱⪎⋱⫍1A6A=⪎⋱⫍1516","layer":1},{"info":"⪎⋱⫍1516⇋≉=⪎⋱⫍2985","layer":0}]}
{"id":644,"expression_no_base_symbol":"($2750$⨳⩥⨓$1782$)⨽$3247$↬$4665$","expression":"(⪎⋱⫍1337⨳⩥⨓⪎⋱⫍A71)⨽⪎⋱⫍162A↬⪎⋱⫍217B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":981,"operation_count":3,"complexity_ratio":327.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2750,"base":13},"right_expr":{"type":"numeric_atoms","value":1782,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3247,"base":13},"right_expr":{"type":"numeric_atoms","value":4665,"base":13}}},"used_operators":["8HhzD0ZcuI","nCS4ZIUYfx","B5M0gjZbta"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2750","layer":2},{"info":"number node, value=1782","layer":2},{"info":"compute binary expreesion, left_input=2750, right_input=1782, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-968","layer":1},{"info":"number node, value=3247","layer":2},{"info":"number node, value=4665","layer":2},{"info":"compute binary expreesion, left_input=3247, right_input=4665, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-968, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1337⨳⩥⨓⪎⋱⫍A71)⨽⪎⋱⫍162A↬⪎⋱⫍217B=NaN","reverse_text":"NaN=(⪎⋱⫍1337⨳⩥⨓⪎⋱⫍A71)⨽⪎⋱⫍162A↬⪎⋱⫍217B","cot":[{"info":"⪎⋱⫍1337⨳⩥⨓⪎⋱⫍A71=⪎⋱⫍-596","layer":1},{"info":"⪎⋱⫍162A↬⪎⋱⫍217B=NaN","layer":1},{"info":"⪎⋱⫍-596⨽NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"$6004$⋝⋈⪟$6508$↛⩡⫤","expression":"⪎⋱⫍296B⋝⋈⪟⪎⋱⫍2C68↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18149,"operation_count":2,"complexity_ratio":9074.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6004,"base":13},"right_expr":{"type":"numeric_atoms","value":6508,"base":13}}},"used_operators":["FU0Cs4j7VP","2DDjHMKMc0"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-257B4C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6004","layer":2},{"info":"number node, value=6508","layer":2},{"info":"compute binary expreesion, left_input=6004, right_input=6508, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6004","layer":1},{"info":"compute unary expreesion, input=6004, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-902693","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍296B⋝⋈⪟⪎⋱⫍2C68↛⩡⫤=⪎⋱⫍-257B4C","reverse_text":"⪎⋱⫍-257B4C=⪎⋱⫍296B⋝⋈⪟⪎⋱⫍2C68↛⩡⫤","cot":[{"info":"⪎⋱⫍296B⋝⋈⪟⪎⋱⫍2C68=⪎⋱⫍296B","layer":1},{"info":"⪎⋱⫍296B↛⩡⫤=⪎⋱⫍-257B4C","layer":0}]}
{"id":646,"expression_no_base_symbol":"(↣≠⋷$1562$)⨟⋌⩍($3652$⪄$2829$)","expression":"(↣≠⋷⪎⋱⫍932)⨟⋌⩍(⪎⋱⫍187C⪄⪎⋱⫍1398)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1562,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3652,"base":13},"right_expr":{"type":"numeric_atoms","value":2829,"base":13}}},"used_operators":["rGHVDoGpnC","Asc51vEJeQ","SUmda5xLS4"],"dependent_operators":["Tcnh7f0tEr","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1562","layer":2},{"info":"compute unary expreesion, input=1562, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=3652","layer":2},{"info":"number node, value=2829","layer":2},{"info":"compute binary expreesion, left_input=3652, right_input=2829, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-547901","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-547901, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(↣≠⋷⪎⋱⫍932)⨟⋌⩍(⪎⋱⫍187C⪄⪎⋱⫍1398)=NaN","reverse_text":"NaN=(↣≠⋷⪎⋱⫍932)⨟⋌⩍(⪎⋱⫍187C⪄⪎⋱⫍1398)","cot":[{"info":"↣≠⋷⪎⋱⫍932=NaN","layer":1},{"info":"⪎⋱⫍187C⪄⪎⋱⫍1398=⪎⋱⫍-162503","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍-162503=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"$3988$≧⫂∧$4053$∲⫓($2753$⨵⪆$1318$)","expression":"⪎⋱⫍1A7A≧⫂∧⪎⋱⫍1ACA∲⫓(⪎⋱⫍133A⨵⪆⪎⋱⫍7A5)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3988,"base":13},"right_expr":{"type":"numeric_atoms","value":4053,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2753,"base":13},"right_expr":{"type":"numeric_atoms","value":1318,"base":13}}},"used_operators":["i8ToyICDmI","Ph9nP6C5qx","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1825","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3988","layer":2},{"info":"number node, value=4053","layer":2},{"info":"compute binary expreesion, left_input=3988, right_input=4053, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3580","layer":1},{"info":"number node, value=2753","layer":2},{"info":"number node, value=1318","layer":2},{"info":"compute binary expreesion, left_input=2753, right_input=1318, 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=3580, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3580","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1A7A≧⫂∧⪎⋱⫍1ACA∲⫓(⪎⋱⫍133A⨵⪆⪎⋱⫍7A5)=⪎⋱⫍1825","reverse_text":"⪎⋱⫍1825=⪎⋱⫍1A7A≧⫂∧⪎⋱⫍1ACA∲⫓(⪎⋱⫍133A⨵⪆⪎⋱⫍7A5)","cot":[{"info":"⪎⋱⫍1A7A≧⫂∧⪎⋱⫍1ACA=⪎⋱⫍1825","layer":1},{"info":"⪎⋱⫍133A⨵⪆⪎⋱⫍7A5=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍1825∲⫓⪎⋱⫍C4=⪎⋱⫍1825","layer":0}]}
{"id":648,"expression_no_base_symbol":"($1715$⊦⊿)⋝⋈⪟($5802$⨁⊸⫻)","expression":"(⪎⋱⫍A1C⊦⊿)⋝⋈⪟(⪎⋱⫍2844⨁⊸⫻)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1715,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5802,"base":13}}},"used_operators":["2DDjHMKMc0","14qkJME0vr","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-24BB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1715","layer":2},{"info":"compute unary expreesion, input=1715, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5224","layer":1},{"info":"number node, value=5802","layer":2},{"info":"compute unary expreesion, input=5802, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5802","layer":1},{"info":"compute binary expreesion, left_input=-5224, right_input=5802, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-5224","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A1C⊦⊿)⋝⋈⪟(⪎⋱⫍2844⨁⊸⫻)=⪎⋱⫍-24BB","reverse_text":"⪎⋱⫍-24BB=(⪎⋱⫍A1C⊦⊿)⋝⋈⪟(⪎⋱⫍2844⨁⊸⫻)","cot":[{"info":"⪎⋱⫍A1C⊦⊿=⪎⋱⫍-24BB","layer":1},{"info":"⪎⋱⫍2844⨁⊸⫻=⪎⋱⫍2844","layer":1},{"info":"⪎⋱⫍-24BB⋝⋈⪟⪎⋱⫍2844=⪎⋱⫍-24BB","layer":0}]}
{"id":649,"expression_no_base_symbol":"≉($2575$⪒$1000$)","expression":"≉(⪎⋱⫍1231⪒⪎⋱⫍5BC)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2575,"base":13},"right_expr":{"type":"numeric_atoms","value":1000,"base":13}}},"used_operators":["e1ybzncUwg","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1820","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2575","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=2575, right_input=1000, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3575","layer":1},{"info":"compute unary expreesion, input=-3575, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-3575","layer":0}],"base":13,"result_base":13,"text":"≉(⪎⋱⫍1231⪒⪎⋱⫍5BC)=⪎⋱⫍-1820","reverse_text":"⪎⋱⫍-1820=≉(⪎⋱⫍1231⪒⪎⋱⫍5BC)","cot":[{"info":"⪎⋱⫍1231⪒⪎⋱⫍5BC=⪎⋱⫍-1820","layer":1},{"info":"≉⪎⋱⫍-1820=⪎⋱⫍-1820","layer":0}]}
{"id":650,"expression_no_base_symbol":"⨈⫕(⋗⩬⋾$2847$)","expression":"⨈⫕(⋗⩬⋾⪎⋱⫍13B0)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2847,"base":13}}},"used_operators":["megm06wKyl","DpFCA1CohY"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2847","layer":2},{"info":"compute unary expreesion, input=2847, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8541","layer":1},{"info":"compute unary expreesion, input=-8541, 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":13,"result_base":13,"text":"⨈⫕(⋗⩬⋾⪎⋱⫍13B0)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⋗⩬⋾⪎⋱⫍13B0)","cot":[{"info":"⋗⩬⋾⪎⋱⫍13B0=⪎⋱⫍-3B70","layer":1},{"info":"⨈⫕⪎⋱⫍-3B70=⪎⋱⫍-18","layer":0}]}
{"id":651,"expression_no_base_symbol":"($3560$⨐⩸⫘$3585$)≭($3746$≭$5982$)","expression":"(⪎⋱⫍180B⨐⩸⫘⪎⋱⫍182A)≭(⪎⋱⫍1922≭⪎⋱⫍2952)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3560,"base":13},"right_expr":{"type":"numeric_atoms","value":3585,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3746,"base":13},"right_expr":{"type":"numeric_atoms","value":5982,"base":13}}},"used_operators":["rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3560","layer":2},{"info":"number node, value=3585","layer":2},{"info":"compute binary expreesion, left_input=3560, right_input=3585, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3746","layer":2},{"info":"number node, value=5982","layer":2},{"info":"compute binary expreesion, left_input=3746, right_input=5982, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍180B⨐⩸⫘⪎⋱⫍182A)≭(⪎⋱⫍1922≭⪎⋱⫍2952)=NaN","reverse_text":"NaN=(⪎⋱⫍180B⨐⩸⫘⪎⋱⫍182A)≭(⪎⋱⫍1922≭⪎⋱⫍2952)","cot":[{"info":"⪎⋱⫍180B⨐⩸⫘⪎⋱⫍182A=NaN","layer":1},{"info":"⪎⋱⫍1922≭⪎⋱⫍2952=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"($3971$⪘⫢$1070$)⨟⋌⩍($1126$⨽$8410$)","expression":"(⪎⋱⫍1A66⪘⫢⪎⋱⫍644)⨟⋌⩍(⪎⋱⫍688⨽⪎⋱⫍3A9C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1151,"operation_count":3,"complexity_ratio":383.6666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3971,"base":13},"right_expr":{"type":"numeric_atoms","value":1070,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1126,"base":13},"right_expr":{"type":"numeric_atoms","value":8410,"base":13}}},"used_operators":["rGHVDoGpnC","oacrs7FA3X","8HhzD0ZcuI"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=3971, right_input=1070, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7818","layer":1},{"info":"number node, value=1126","layer":2},{"info":"number node, value=8410","layer":2},{"info":"compute binary expreesion, left_input=1126, right_input=8410, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3827544","layer":1},{"info":"compute binary expreesion, left_input=7818, right_input=-3827544, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍1A66⪘⫢⪎⋱⫍644)⨟⋌⩍(⪎⋱⫍688⨽⪎⋱⫍3A9C)=NaN","reverse_text":"NaN=(⪎⋱⫍1A66⪘⫢⪎⋱⫍644)⨟⋌⩍(⪎⋱⫍688⨽⪎⋱⫍3A9C)","cot":[{"info":"⪎⋱⫍1A66⪘⫢⪎⋱⫍644=⪎⋱⫍3735","layer":1},{"info":"⪎⋱⫍688⨽⪎⋱⫍3A9C=⪎⋱⫍-A40226","layer":1},{"info":"⪎⋱⫍3735⨟⋌⩍⪎⋱⫍-A40226=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"⪝⪂⫅($3640$%$1062$)","expression":"⪝⪂⫅(⪎⋱⫍1870%⪎⋱⫍639)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":153,"operation_count":2,"complexity_ratio":76.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3640,"base":13},"right_expr":{"type":"numeric_atoms","value":1062,"base":13}}},"used_operators":["XTarYq4gQB","k8jYdgA6NY"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z"],"result":"⪎⋱⫍-244B9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3640","layer":2},{"info":"number node, value=1062","layer":2},{"info":"compute binary expreesion, left_input=3640, right_input=1062, op_id = k8jYdgA6NY binary_op_definition= 'None', output=454","layer":1},{"info":"compute unary expreesion, input=454, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-66738","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⪎⋱⫍1870%⪎⋱⫍639)=⪎⋱⫍-244B9","reverse_text":"⪎⋱⫍-244B9=⪝⪂⫅(⪎⋱⫍1870%⪎⋱⫍639)","cot":[{"info":"⪎⋱⫍1870%⪎⋱⫍639=⪎⋱⫍28C","layer":1},{"info":"⪝⪂⫅⪎⋱⫍28C=⪎⋱⫍-244B9","layer":0}]}
{"id":654,"expression_no_base_symbol":"$1409$⇷$4989$/$2928$⩚⊴⇥$1886$","expression":"⪎⋱⫍845⇷⪎⋱⫍236A/⪎⋱⫍1443⩚⊴⇥⪎⋱⫍B21","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19737,"operation_count":3,"complexity_ratio":6579.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1409,"base":13},"right_expr":{"type":"numeric_atoms","value":4989,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2928,"base":13},"right_expr":{"type":"numeric_atoms","value":1886,"base":13}}},"used_operators":["XhwjNDsVaA","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":2},{"info":"number node, value=4989","layer":2},{"info":"compute binary expreesion, left_input=1409, right_input=4989, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9978","layer":1},{"info":"number node, value=2928","layer":2},{"info":"number node, value=1886","layer":2},{"info":"compute binary expreesion, left_input=2928, right_input=1886, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4935","layer":1},{"info":"compute binary expreesion, left_input=9978, right_input=-4935, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍845⇷⪎⋱⫍236A/⪎⋱⫍1443⩚⊴⇥⪎⋱⫍B21=⪎⋱⫍-3","reverse_text":"⪎⋱⫍-3=⪎⋱⫍845⇷⪎⋱⫍236A/⪎⋱⫍1443⩚⊴⇥⪎⋱⫍B21","cot":[{"info":"⪎⋱⫍845⇷⪎⋱⫍236A=⪎⋱⫍4707","layer":1},{"info":"⪎⋱⫍1443⩚⊴⇥⪎⋱⫍B21=⪎⋱⫍-2328","layer":1},{"info":"⪎⋱⫍4707/⪎⋱⫍-2328=⪎⋱⫍-3","layer":0}]}
{"id":655,"expression_no_base_symbol":"$1296$⨪↰⇹$2248$⪐","expression":"⪎⋱⫍789⨪↰⇹⪎⋱⫍103C⪐","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1298,"operation_count":2,"complexity_ratio":649.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1296,"base":13},"right_expr":{"type":"numeric_atoms","value":2248,"base":13}}},"used_operators":["eH2TOUuTDT","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⪎⋱⫍1245","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":2},{"info":"number node, value=2248","layer":2},{"info":"compute binary expreesion, left_input=1296, right_input=2248, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1296","layer":1},{"info":"compute unary expreesion, input=1296, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2592","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍789⨪↰⇹⪎⋱⫍103C⪐=⪎⋱⫍1245","reverse_text":"⪎⋱⫍1245=⪎⋱⫍789⨪↰⇹⪎⋱⫍103C⪐","cot":[{"info":"⪎⋱⫍789⨪↰⇹⪎⋱⫍103C=⪎⋱⫍789","layer":1},{"info":"⪎⋱⫍789⪐=⪎⋱⫍1245","layer":0}]}
{"id":656,"expression_no_base_symbol":"$9523$⪢$2215$⊉≛↸($8140$⨵⪆$7071$)","expression":"⪎⋱⫍4447⪢⪎⋱⫍1015⊉≛↸(⪎⋱⫍3922⨵⪆⪎⋱⫍32AC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18016,"operation_count":3,"complexity_ratio":6005.333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9523,"base":13},"right_expr":{"type":"numeric_atoms","value":2215,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8140,"base":13},"right_expr":{"type":"numeric_atoms","value":7071,"base":13}}},"used_operators":["DZ8iAZOCBD","dWAJyo7jo9","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9523","layer":2},{"info":"number node, value=2215","layer":2},{"info":"compute binary expreesion, left_input=9523, right_input=2215, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8140","layer":2},{"info":"number node, value=7071","layer":2},{"info":"compute binary expreesion, left_input=8140, right_input=7071, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍4447⪢⪎⋱⫍1015⊉≛↸(⪎⋱⫍3922⨵⪆⪎⋱⫍32AC)=NaN","reverse_text":"NaN=⪎⋱⫍4447⪢⪎⋱⫍1015⊉≛↸(⪎⋱⫍3922⨵⪆⪎⋱⫍32AC)","cot":[{"info":"⪎⋱⫍4447⪢⪎⋱⫍1015=NaN","layer":1},{"info":"⪎⋱⫍3922⨵⪆⪎⋱⫍32AC=⪎⋱⫍C4","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍C4=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"⨈⫕$4859$↬$1859$","expression":"⨈⫕⪎⋱⫍229A↬⪎⋱⫍B00","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4859,"base":13},"right_expr":{"type":"numeric_atoms","value":1859,"base":13}}},"used_operators":["megm06wKyl","B5M0gjZbta"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4859","layer":2},{"info":"number node, value=1859","layer":2},{"info":"compute binary expreesion, left_input=4859, right_input=1859, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕⪎⋱⫍229A↬⪎⋱⫍B00=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕⪎⋱⫍229A↬⪎⋱⫍B00","cot":[{"info":"⪎⋱⫍229A↬⪎⋱⫍B00=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":658,"expression_no_base_symbol":"↣≠⋷(≉$3937$)","expression":"↣≠⋷(≉⪎⋱⫍1A3B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3937,"base":13}}},"used_operators":["Asc51vEJeQ","e1ybzncUwg"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3937","layer":2},{"info":"compute unary expreesion, input=3937, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4468","layer":1},{"info":"compute unary expreesion, input=4468, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(≉⪎⋱⫍1A3B)=NaN","reverse_text":"NaN=↣≠⋷(≉⪎⋱⫍1A3B)","cot":[{"info":"≉⪎⋱⫍1A3B=⪎⋱⫍2059","layer":1},{"info":"↣≠⋷⪎⋱⫍2059=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(⊄⩳↩$1459$)≧⫂∧($5513$↙$3143$)","expression":"(⊄⩳↩⪎⋱⫍883)≧⫂∧(⪎⋱⫍2681↙⪎⋱⫍157A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3151,"operation_count":3,"complexity_ratio":1050.3333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1459,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5513,"base":13},"right_expr":{"type":"numeric_atoms","value":3143,"base":13}}},"used_operators":["Ph9nP6C5qx","8w2t5hMYqp","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍23B8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1459","layer":2},{"info":"compute unary expreesion, input=1459, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4377","layer":1},{"info":"number node, value=5513","layer":2},{"info":"number node, value=3143","layer":2},{"info":"compute binary expreesion, left_input=5513, right_input=3143, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9429","layer":1},{"info":"compute binary expreesion, left_input=-4377, right_input=-9429, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5052","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍883)≧⫂∧(⪎⋱⫍2681↙⪎⋱⫍157A)=⪎⋱⫍23B8","reverse_text":"⪎⋱⫍23B8=(⊄⩳↩⪎⋱⫍883)≧⫂∧(⪎⋱⫍2681↙⪎⋱⫍157A)","cot":[{"info":"⊄⩳↩⪎⋱⫍883=⪎⋱⫍-1CB9","layer":1},{"info":"⪎⋱⫍2681↙⪎⋱⫍157A=⪎⋱⫍-43A4","layer":1},{"info":"⪎⋱⫍-1CB9≧⫂∧⪎⋱⫍-43A4=⪎⋱⫍23B8","layer":0}]}
{"id":660,"expression_no_base_symbol":"-$1849$⩚⊴⇥$7082$","expression":"-⪎⋱⫍AC3⩚⊴⇥⪎⋱⫍32BA","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1849,"base":13},"right_expr":{"type":"numeric_atoms","value":7082,"base":13}}},"used_operators":["t8gj7n24qd","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍4174","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":2},{"info":"number node, value=7082","layer":2},{"info":"compute binary expreesion, left_input=1849, right_input=7082, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9052","layer":1},{"info":"compute unary expreesion, input=-9052, op_id = t8gj7n24qd, unary_op_definition = 'None', output=9052","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍AC3⩚⊴⇥⪎⋱⫍32BA=⪎⋱⫍4174","reverse_text":"⪎⋱⫍4174=-⪎⋱⫍AC3⩚⊴⇥⪎⋱⫍32BA","cot":[{"info":"⪎⋱⫍AC3⩚⊴⇥⪎⋱⫍32BA=⪎⋱⫍-4174","layer":1},{"info":"-⪎⋱⫍-4174=⪎⋱⫍4174","layer":0}]}
{"id":661,"expression_no_base_symbol":"($2468$⪒$2477$)⩨($1039$⩤)","expression":"(⪎⋱⫍117B⪒⪎⋱⫍1187)⩨(⪎⋱⫍61C⩤)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2468,"base":13},"right_expr":{"type":"numeric_atoms","value":2477,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1039,"base":13}}},"used_operators":["2DlMacCsIx","f6k1SAg4EE","Z2TMIBDE3Q"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2468","layer":2},{"info":"number node, value=2477","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=2477, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4945","layer":1},{"info":"number node, value=1039","layer":2},{"info":"compute unary expreesion, input=1039, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1039","layer":1},{"info":"compute binary expreesion, left_input=-4945, right_input=-1039, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍117B⪒⪎⋱⫍1187)⩨(⪎⋱⫍61C⩤)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍117B⪒⪎⋱⫍1187)⩨(⪎⋱⫍61C⩤)","cot":[{"info":"⪎⋱⫍117B⪒⪎⋱⫍1187=⪎⋱⫍-2335","layer":1},{"info":"⪎⋱⫍61C⩤=⪎⋱⫍-61C","layer":1},{"info":"⪎⋱⫍-2335⩨⪎⋱⫍-61C=⪎⋱⫍0","layer":0}]}
{"id":662,"expression_no_base_symbol":"$3892$⪮%⊝$2171$⫥∨⫟$4892$∑⇟⊟$3362$","expression":"⪎⋱⫍1A05⪮%⊝⪎⋱⫍CB0⫥∨⫟⪎⋱⫍22C4∑⇟⊟⪎⋱⫍16B8","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3892,"base":13},"right_expr":{"type":"numeric_atoms","value":2171,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4892,"base":13},"right_expr":{"type":"numeric_atoms","value":3362,"base":13}}},"used_operators":["KYD54nUTWz","IWmyXbctLI","U7g4x0WXJJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3892","layer":2},{"info":"number node, value=2171","layer":2},{"info":"compute binary expreesion, left_input=3892, right_input=2171, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8100","layer":1},{"info":"number node, value=4892","layer":2},{"info":"number node, value=3362","layer":2},{"info":"compute binary expreesion, left_input=4892, right_input=3362, 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=8100, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1A05⪮%⊝⪎⋱⫍CB0⫥∨⫟⪎⋱⫍22C4∑⇟⊟⪎⋱⫍16B8=NaN","reverse_text":"NaN=⪎⋱⫍1A05⪮%⊝⪎⋱⫍CB0⫥∨⫟⪎⋱⫍22C4∑⇟⊟⪎⋱⫍16B8","cot":[{"info":"⪎⋱⫍1A05⪮%⊝⪎⋱⫍CB0=⪎⋱⫍38C1","layer":1},{"info":"⪎⋱⫍22C4∑⇟⊟⪎⋱⫍16B8=NaN","layer":1},{"info":"⪎⋱⫍38C1⫥∨⫟NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"($3960$≧⫂∧$7678$)⊴($3028$⇼⇔∾$6985$)","expression":"(⪎⋱⫍1A58≧⫂∧⪎⋱⫍3658)⊴(⪎⋱⫍14BC⇼⇔∾⪎⋱⫍3244)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5572,"operation_count":3,"complexity_ratio":1857.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3960,"base":13},"right_expr":{"type":"numeric_atoms","value":7678,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3028,"base":13},"right_expr":{"type":"numeric_atoms","value":6985,"base":13}}},"used_operators":["Nsiff2A1zJ","Ph9nP6C5qx","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"number node, value=7678","layer":2},{"info":"compute binary expreesion, left_input=3960, right_input=7678, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7205","layer":1},{"info":"number node, value=3028","layer":2},{"info":"number node, value=6985","layer":2},{"info":"compute binary expreesion, left_input=3028, right_input=6985, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3957","layer":1},{"info":"compute binary expreesion, left_input=7205, right_input=3957, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1A58≧⫂∧⪎⋱⫍3658)⊴(⪎⋱⫍14BC⇼⇔∾⪎⋱⫍3244)=NaN","reverse_text":"NaN=(⪎⋱⫍1A58≧⫂∧⪎⋱⫍3658)⊴(⪎⋱⫍14BC⇼⇔∾⪎⋱⫍3244)","cot":[{"info":"⪎⋱⫍1A58≧⫂∧⪎⋱⫍3658=⪎⋱⫍3383","layer":1},{"info":"⪎⋱⫍14BC⇼⇔∾⪎⋱⫍3244=⪎⋱⫍1A55","layer":1},{"info":"⪎⋱⫍3383⊴⪎⋱⫍1A55=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(⇁⨣⪵$2209$)*($1510$⫡⨏$4154$)","expression":"(⇁⨣⪵⪎⋱⫍100C)*(⪎⋱⫍8C2⫡⨏⪎⋱⫍1B77)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2209,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1510,"base":13},"right_expr":{"type":"numeric_atoms","value":4154,"base":13}}},"used_operators":["9HNa5Wba9A","inkyxCbjAn","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2209","layer":2},{"info":"compute unary expreesion, input=2209, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1510","layer":2},{"info":"number node, value=4154","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=4154, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16641","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16641, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍100C)*(⪎⋱⫍8C2⫡⨏⪎⋱⫍1B77)=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍100C)*(⪎⋱⫍8C2⫡⨏⪎⋱⫍1B77)","cot":[{"info":"⇁⨣⪵⪎⋱⫍100C=NaN","layer":1},{"info":"⪎⋱⫍8C2⫡⨏⪎⋱⫍1B77=⪎⋱⫍7761","layer":1},{"info":"NaN*⪎⋱⫍7761=NaN","layer":0}]}
{"id":665,"expression_no_base_symbol":"$3940$≹⇙⪍$1208$≣⋋","expression":"⪎⋱⫍1A41≹⇙⪍⪎⋱⫍71C≣⋋","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3940,"base":13},"right_expr":{"type":"numeric_atoms","value":1208,"base":13}}},"used_operators":["Tcnh7f0tEr","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3940","layer":2},{"info":"number node, value=1208","layer":2},{"info":"compute binary expreesion, left_input=3940, right_input=1208, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1A41≹⇙⪍⪎⋱⫍71C≣⋋=NaN","reverse_text":"NaN=⪎⋱⫍1A41≹⇙⪍⪎⋱⫍71C≣⋋","cot":[{"info":"⪎⋱⫍1A41≹⇙⪍⪎⋱⫍71C=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"($1124$≧⫂∧$5174$)⨪↰⇹($3134$∑⇟⊟$4883$)","expression":"(⪎⋱⫍686≧⫂∧⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍1571∑⇟⊟⪎⋱⫍22B8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4703,"operation_count":3,"complexity_ratio":1567.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1124,"base":13},"right_expr":{"type":"numeric_atoms","value":5174,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3134,"base":13},"right_expr":{"type":"numeric_atoms","value":4883,"base":13}}},"used_operators":["tmPS8pqC7x","Ph9nP6C5qx","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍21A8","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1124","layer":2},{"info":"number node, value=5174","layer":2},{"info":"compute binary expreesion, left_input=1124, right_input=5174, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4701","layer":1},{"info":"number node, value=3134","layer":2},{"info":"number node, value=4883","layer":2},{"info":"compute binary expreesion, left_input=3134, right_input=4883, 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=4701, 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=4701","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍686≧⫂∧⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍1571∑⇟⊟⪎⋱⫍22B8)=⪎⋱⫍21A8","reverse_text":"⪎⋱⫍21A8=(⪎⋱⫍686≧⫂∧⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍1571∑⇟⊟⪎⋱⫍22B8)","cot":[{"info":"⪎⋱⫍686≧⫂∧⪎⋱⫍2480=⪎⋱⫍21A8","layer":1},{"info":"⪎⋱⫍1571∑⇟⊟⪎⋱⫍22B8=NaN","layer":1},{"info":"⪎⋱⫍21A8⨪↰⇹NaN=⪎⋱⫍21A8","layer":0}]}
{"id":667,"expression_no_base_symbol":"($3902$⋫)↬($5593$⨁⊸⫻)","expression":"(⪎⋱⫍1A12⋫)↬(⪎⋱⫍2713⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3904,"operation_count":3,"complexity_ratio":1301.3333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3902,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5593,"base":13}}},"used_operators":["B5M0gjZbta","JL8yIekQnl","glklzrTFfD"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3902","layer":2},{"info":"compute unary expreesion, input=3902, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3902","layer":1},{"info":"number node, value=5593","layer":2},{"info":"compute unary expreesion, input=5593, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5593","layer":1},{"info":"compute binary expreesion, left_input=3902, right_input=5593, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍1A12⋫)↬(⪎⋱⫍2713⨁⊸⫻)=NaN","reverse_text":"NaN=(⪎⋱⫍1A12⋫)↬(⪎⋱⫍2713⨁⊸⫻)","cot":[{"info":"⪎⋱⫍1A12⋫=⪎⋱⫍1A12","layer":1},{"info":"⪎⋱⫍2713⨁⊸⫻=⪎⋱⫍2713","layer":1},{"info":"⪎⋱⫍1A12↬⪎⋱⫍2713=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"($3599$≧⫂∧$1956$)⊴(⊙↵-$1737$)","expression":"(⪎⋱⫍183B≧⫂∧⪎⋱⫍B76)⊴(⊙↵-⪎⋱⫍A38)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3273,"operation_count":3,"complexity_ratio":1091.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3599,"base":13},"right_expr":{"type":"numeric_atoms","value":1956,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1737,"base":13}}},"used_operators":["Nsiff2A1zJ","Ph9nP6C5qx","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍-61","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3599","layer":2},{"info":"number node, value=1956","layer":2},{"info":"compute binary expreesion, left_input=3599, right_input=1956, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1483","layer":1},{"info":"number node, value=1737","layer":2},{"info":"compute unary expreesion, input=1737, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=1483, right_input=-1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍183B≧⫂∧⪎⋱⫍B76)⊴(⊙↵-⪎⋱⫍A38)=⪎⋱⫍-61","reverse_text":"⪎⋱⫍-61=(⪎⋱⫍183B≧⫂∧⪎⋱⫍B76)⊴(⊙↵-⪎⋱⫍A38)","cot":[{"info":"⪎⋱⫍183B≧⫂∧⪎⋱⫍B76=⪎⋱⫍8A1","layer":1},{"info":"⊙↵-⪎⋱⫍A38=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍8A1⊴⪎⋱⫍-1=⪎⋱⫍-61","layer":0}]}
{"id":669,"expression_no_base_symbol":"$1072$⪄$3017$%$2260$⫸⊐$3638$","expression":"⪎⋱⫍646⪄⪎⋱⫍14B1%⪎⋱⫍104B⫸⊐⪎⋱⫍186B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":130,"operation_count":3,"complexity_ratio":43.333333333333336,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1072,"base":13},"right_expr":{"type":"numeric_atoms","value":3017,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2260,"base":13},"right_expr":{"type":"numeric_atoms","value":3638,"base":13}}},"used_operators":["k8jYdgA6NY","SUmda5xLS4","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍2B46","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":2},{"info":"number node, value=3017","layer":2},{"info":"compute binary expreesion, left_input=1072, right_input=3017, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-166813","layer":1},{"info":"number node, value=2260","layer":2},{"info":"number node, value=3638","layer":2},{"info":"compute binary expreesion, left_input=2260, right_input=3638, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14427","layer":1},{"info":"compute binary expreesion, left_input=-166813, right_input=14427, op_id = k8jYdgA6NY binary_op_definition= 'None', output=6311","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍646⪄⪎⋱⫍14B1%⪎⋱⫍104B⫸⊐⪎⋱⫍186B=⪎⋱⫍2B46","reverse_text":"⪎⋱⫍2B46=⪎⋱⫍646⪄⪎⋱⫍14B1%⪎⋱⫍104B⫸⊐⪎⋱⫍186B","cot":[{"info":"⪎⋱⫍646⪄⪎⋱⫍14B1=⪎⋱⫍-5AC0A","layer":1},{"info":"⪎⋱⫍104B⫸⊐⪎⋱⫍186B=⪎⋱⫍674A","layer":1},{"info":"⪎⋱⫍-5AC0A%⪎⋱⫍674A=⪎⋱⫍2B46","layer":0}]}
{"id":670,"expression_no_base_symbol":"($1338$⊴$1898$)⊴($1257$↬$7773$)","expression":"(⪎⋱⫍7BC⊴⪎⋱⫍B30)⊴(⪎⋱⫍759↬⪎⋱⫍36CC)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1912,"operation_count":3,"complexity_ratio":637.3333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1338,"base":13},"right_expr":{"type":"numeric_atoms","value":1898,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1257,"base":13},"right_expr":{"type":"numeric_atoms","value":7773,"base":13}}},"used_operators":["Nsiff2A1zJ","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1338","layer":2},{"info":"number node, value=1898","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=1898, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1257","layer":2},{"info":"number node, value=7773","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=7773, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍7BC⊴⪎⋱⫍B30)⊴(⪎⋱⫍759↬⪎⋱⫍36CC)=NaN","reverse_text":"NaN=(⪎⋱⫍7BC⊴⪎⋱⫍B30)⊴(⪎⋱⫍759↬⪎⋱⫍36CC)","cot":[{"info":"⪎⋱⫍7BC⊴⪎⋱⫍B30=NaN","layer":1},{"info":"⪎⋱⫍759↬⪎⋱⫍36CC=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"(+⊝⨔$1276$)⪨≂$3221$≭$5205$","expression":"(+⊝⨔⪎⋱⫍772)⪨≂⪎⋱⫍160A≭⪎⋱⫍24A5","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1276,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3221,"base":13},"right_expr":{"type":"numeric_atoms","value":5205,"base":13}}},"used_operators":["sdazOOVcIp","DhbWaqg5eL","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1276","layer":2},{"info":"compute unary expreesion, input=1276, 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=3221","layer":2},{"info":"number node, value=5205","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=5205, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=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":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍772)⪨≂⪎⋱⫍160A≭⪎⋱⫍24A5=NaN","reverse_text":"NaN=(+⊝⨔⪎⋱⫍772)⪨≂⪎⋱⫍160A≭⪎⋱⫍24A5","cot":[{"info":"+⊝⨔⪎⋱⫍772=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍160A≭⪎⋱⫍24A5=NaN","layer":1},{"info":"⪎⋱⫍901⪨≂NaN=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"∂($1132$⪒$6431$)","expression":"∂(⪎⋱⫍691⪒⪎⋱⫍2C09)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":420,"operation_count":2,"complexity_ratio":210.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":6431,"base":13}}},"used_operators":["Uaa54Peajs","f6k1SAg4EE"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3426","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":2},{"info":"number node, value=6431","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=6431, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7563","layer":1},{"info":"compute unary expreesion, input=-7563, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=7299","layer":0}],"base":13,"result_base":13,"text":"∂(⪎⋱⫍691⪒⪎⋱⫍2C09)=⪎⋱⫍3426","reverse_text":"⪎⋱⫍3426=∂(⪎⋱⫍691⪒⪎⋱⫍2C09)","cot":[{"info":"⪎⋱⫍691⪒⪎⋱⫍2C09=⪎⋱⫍-359A","layer":1},{"info":"∂⪎⋱⫍-359A=⪎⋱⫍3426","layer":0}]}
{"id":673,"expression_no_base_symbol":"(⨈⫕$3044$)≧⫂∧($5344$⪒$5875$)","expression":"(⨈⫕⪎⋱⫍1502)≧⫂∧(⪎⋱⫍2581⪒⪎⋱⫍289C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":391,"operation_count":3,"complexity_ratio":130.33333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3044,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5344,"base":13},"right_expr":{"type":"numeric_atoms","value":5875,"base":13}}},"used_operators":["Ph9nP6C5qx","megm06wKyl","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍5135","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":2},{"info":"compute unary expreesion, input=3044, 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=5344","layer":2},{"info":"number node, value=5875","layer":2},{"info":"compute binary expreesion, left_input=5344, right_input=5875, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11219","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-11219, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=11198","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍1502)≧⫂∧(⪎⋱⫍2581⪒⪎⋱⫍289C)=⪎⋱⫍5135","reverse_text":"⪎⋱⫍5135=(⨈⫕⪎⋱⫍1502)≧⫂∧(⪎⋱⫍2581⪒⪎⋱⫍289C)","cot":[{"info":"⨈⫕⪎⋱⫍1502=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍2581⪒⪎⋱⫍289C=⪎⋱⫍-5150","layer":1},{"info":"⪎⋱⫍-18≧⫂∧⪎⋱⫍-5150=⪎⋱⫍5135","layer":0}]}
{"id":674,"expression_no_base_symbol":"($7430$⨸⪁$3979$)+⇶⊼($2523$↺$2216$)","expression":"(⪎⋱⫍34C7⨸⪁⪎⋱⫍1A71)+⇶⊼(⪎⋱⫍11C1↺⪎⋱⫍1016)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7430,"base":13},"right_expr":{"type":"numeric_atoms","value":3979,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2523,"base":13},"right_expr":{"type":"numeric_atoms","value":2216,"base":13}}},"used_operators":["TpPTUOHfaN","g55IO6H4Gj","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7430","layer":2},{"info":"number node, value=3979","layer":2},{"info":"compute binary expreesion, left_input=7430, right_input=3979, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22818","layer":1},{"info":"number node, value=2523","layer":2},{"info":"number node, value=2216","layer":2},{"info":"compute binary expreesion, left_input=2523, right_input=2216, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2216","layer":1},{"info":"compute binary expreesion, left_input=22818, right_input=2216, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍34C7⨸⪁⪎⋱⫍1A71)+⇶⊼(⪎⋱⫍11C1↺⪎⋱⫍1016)=NaN","reverse_text":"NaN=(⪎⋱⫍34C7⨸⪁⪎⋱⫍1A71)+⇶⊼(⪎⋱⫍11C1↺⪎⋱⫍1016)","cot":[{"info":"⪎⋱⫍34C7⨸⪁⪎⋱⫍1A71=⪎⋱⫍A503","layer":1},{"info":"⪎⋱⫍11C1↺⪎⋱⫍1016=⪎⋱⫍1016","layer":1},{"info":"⪎⋱⫍A503+⇶⊼⪎⋱⫍1016=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"$2659$⇷$1233$≎⊠⪸($4269$⨸⪁$1856$)","expression":"⪎⋱⫍1297⇷⪎⋱⫍73B≎⊠⪸(⪎⋱⫍1C35⨸⪁⪎⋱⫍ACA)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37505,"operation_count":3,"complexity_ratio":12501.666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2659,"base":13},"right_expr":{"type":"numeric_atoms","value":1233,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4269,"base":13},"right_expr":{"type":"numeric_atoms","value":1856,"base":13}}},"used_operators":["bJkvcejdHO","mp7IySMOzn","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe"],"result":"⪎⋱⫍19465C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2659","layer":2},{"info":"number node, value=1233","layer":2},{"info":"compute binary expreesion, left_input=2659, right_input=1233, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2466","layer":1},{"info":"number node, value=4269","layer":2},{"info":"number node, value=1856","layer":2},{"info":"compute binary expreesion, left_input=4269, right_input=1856, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12250","layer":1},{"info":"compute binary expreesion, left_input=2466, right_input=12250, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=638221","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1297⇷⪎⋱⫍73B≎⊠⪸(⪎⋱⫍1C35⨸⪁⪎⋱⫍ACA)=⪎⋱⫍19465C","reverse_text":"⪎⋱⫍19465C=⪎⋱⫍1297⇷⪎⋱⫍73B≎⊠⪸(⪎⋱⫍1C35⨸⪁⪎⋱⫍ACA)","cot":[{"info":"⪎⋱⫍1297⇷⪎⋱⫍73B=⪎⋱⫍1179","layer":1},{"info":"⪎⋱⫍1C35⨸⪁⪎⋱⫍ACA=⪎⋱⫍5764","layer":1},{"info":"⪎⋱⫍1179≎⊠⪸⪎⋱⫍5764=⪎⋱⫍19465C","layer":0}]}
{"id":676,"expression_no_base_symbol":"(↩$1707$)∲⫓$3556$⪛$4888$","expression":"(↩⪎⋱⫍A14)∲⫓⪎⋱⫍1807⪛⪎⋱⫍22C0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1707,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3556,"base":13},"right_expr":{"type":"numeric_atoms","value":4888,"base":13}}},"used_operators":["i8ToyICDmI","jLgFTUHLKL","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":2},{"info":"compute unary expreesion, input=1707, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10876","layer":1},{"info":"number node, value=3556","layer":2},{"info":"number node, value=4888","layer":2},{"info":"compute binary expreesion, left_input=3556, right_input=4888, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3556","layer":1},{"info":"compute binary expreesion, left_input=-10876, right_input=3556, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍A14)∲⫓⪎⋱⫍1807⪛⪎⋱⫍22C0=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(↩⪎⋱⫍A14)∲⫓⪎⋱⫍1807⪛⪎⋱⫍22C0","cot":[{"info":"↩⪎⋱⫍A14=⪎⋱⫍-4C48","layer":1},{"info":"⪎⋱⫍1807⪛⪎⋱⫍22C0=⪎⋱⫍1807","layer":1},{"info":"⪎⋱⫍-4C48∲⫓⪎⋱⫍1807=⪎⋱⫍0","layer":0}]}
{"id":677,"expression_no_base_symbol":"($4430$⋫)⨓($1799$⫌⩹⨱)","expression":"(⪎⋱⫍202A⋫)⨓(⪎⋱⫍A85⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9442,"operation_count":3,"complexity_ratio":3147.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4430,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1799,"base":13}}},"used_operators":["3ViojmjbAp","JL8yIekQnl","EBcxylXtPf"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-237A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4430","layer":2},{"info":"compute unary expreesion, input=4430, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4430","layer":1},{"info":"number node, value=1799","layer":2},{"info":"compute unary expreesion, input=1799, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4999","layer":1},{"info":"compute binary expreesion, left_input=4430, right_input=4999, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5002","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍202A⋫)⨓(⪎⋱⫍A85⫌⩹⨱)=⪎⋱⫍-237A","reverse_text":"⪎⋱⫍-237A=(⪎⋱⫍202A⋫)⨓(⪎⋱⫍A85⫌⩹⨱)","cot":[{"info":"⪎⋱⫍202A⋫=⪎⋱⫍202A","layer":1},{"info":"⪎⋱⫍A85⫌⩹⨱=⪎⋱⫍2377","layer":1},{"info":"⪎⋱⫍202A⨓⪎⋱⫍2377=⪎⋱⫍-237A","layer":0}]}
{"id":678,"expression_no_base_symbol":"$1821$⩚⊴⇥$5181$⪨≂$2461$⋳⪒$1908$","expression":"⪎⋱⫍AA1⩚⊴⇥⪎⋱⫍2487⪨≂⪎⋱⫍1174⋳⪒⪎⋱⫍B3A","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1821,"base":13},"right_expr":{"type":"numeric_atoms","value":5181,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2461,"base":13},"right_expr":{"type":"numeric_atoms","value":1908,"base":13}}},"used_operators":["sdazOOVcIp","NTOWxs364D","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-8BC7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1821","layer":2},{"info":"number node, value=5181","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=5181, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7123","layer":1},{"info":"number node, value=2461","layer":2},{"info":"number node, value=1908","layer":2},{"info":"compute binary expreesion, left_input=2461, right_input=1908, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2727","layer":1},{"info":"compute binary expreesion, left_input=-7123, right_input=2727, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-19598","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍AA1⩚⊴⇥⪎⋱⫍2487⪨≂⪎⋱⫍1174⋳⪒⪎⋱⫍B3A=⪎⋱⫍-8BC7","reverse_text":"⪎⋱⫍-8BC7=⪎⋱⫍AA1⩚⊴⇥⪎⋱⫍2487⪨≂⪎⋱⫍1174⋳⪒⪎⋱⫍B3A","cot":[{"info":"⪎⋱⫍AA1⩚⊴⇥⪎⋱⫍2487=⪎⋱⫍-331C","layer":1},{"info":"⪎⋱⫍1174⋳⪒⪎⋱⫍B3A=⪎⋱⫍131A","layer":1},{"info":"⪎⋱⫍-331C⪨≂⪎⋱⫍131A=⪎⋱⫍-8BC7","layer":0}]}
{"id":679,"expression_no_base_symbol":"($5091$⩤)⊉≛↸($5100$⪐)","expression":"(⪎⋱⫍2418⩤)⊉≛↸(⪎⋱⫍2424⪐)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5091,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5100,"base":13}}},"used_operators":["DZ8iAZOCBD","Z2TMIBDE3Q","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-4848","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5091","layer":2},{"info":"compute unary expreesion, input=5091, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5091","layer":1},{"info":"number node, value=5100","layer":2},{"info":"compute unary expreesion, input=5100, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10200","layer":1},{"info":"compute binary expreesion, left_input=-5091, right_input=10200, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-10200","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2418⩤)⊉≛↸(⪎⋱⫍2424⪐)=⪎⋱⫍-4848","reverse_text":"⪎⋱⫍-4848=(⪎⋱⫍2418⩤)⊉≛↸(⪎⋱⫍2424⪐)","cot":[{"info":"⪎⋱⫍2418⩤=⪎⋱⫍-2418","layer":1},{"info":"⪎⋱⫍2424⪐=⪎⋱⫍4848","layer":1},{"info":"⪎⋱⫍-2418⊉≛↸⪎⋱⫍4848=⪎⋱⫍-4848","layer":0}]}
{"id":680,"expression_no_base_symbol":"⊄⩳↩($1031$⩠)","expression":"⊄⩳↩(⪎⋱⫍614⩠)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1031,"base":13}}},"used_operators":["8w2t5hMYqp","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1031","layer":2},{"info":"compute unary expreesion, input=1031, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⪎⋱⫍614⩠)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⊄⩳↩(⪎⋱⫍614⩠)","cot":[{"info":"⪎⋱⫍614⩠=⪎⋱⫍0","layer":1},{"info":"⊄⩳↩⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":681,"expression_no_base_symbol":"($7022$%$1019$)⪄$1198$⨰$2246$","expression":"(⪎⋱⫍3272%⪎⋱⫍605)⪄⪎⋱⫍712⨰⪎⋱⫍103A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7022,"base":13},"right_expr":{"type":"numeric_atoms","value":1019,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1198,"base":13},"right_expr":{"type":"numeric_atoms","value":2246,"base":13}}},"used_operators":["SUmda5xLS4","k8jYdgA6NY","eewbuw0ToL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-45660","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7022","layer":2},{"info":"number node, value=1019","layer":2},{"info":"compute binary expreesion, left_input=7022, right_input=1019, op_id = k8jYdgA6NY binary_op_definition= 'None', output=908","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=2246","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=2246, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1038","layer":1},{"info":"compute binary expreesion, left_input=908, right_input=-1038, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-126321","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3272%⪎⋱⫍605)⪄⪎⋱⫍712⨰⪎⋱⫍103A=⪎⋱⫍-45660","reverse_text":"⪎⋱⫍-45660=(⪎⋱⫍3272%⪎⋱⫍605)⪄⪎⋱⫍712⨰⪎⋱⫍103A","cot":[{"info":"⪎⋱⫍3272%⪎⋱⫍605=⪎⋱⫍54B","layer":1},{"info":"⪎⋱⫍712⨰⪎⋱⫍103A=⪎⋱⫍-61B","layer":1},{"info":"⪎⋱⫍54B⪄⪎⋱⫍-61B=⪎⋱⫍-45660","layer":0}]}
{"id":682,"expression_no_base_symbol":"($1351$↙$7873$)⊦⊿","expression":"(⪎⋱⫍7CC↙⪎⋱⫍3778)⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7882,"operation_count":2,"complexity_ratio":3941.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1351,"base":13},"right_expr":{"type":"numeric_atoms","value":7873,"base":13}}},"used_operators":["14qkJME0vr","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍262A6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":2},{"info":"number node, value=7873","layer":2},{"info":"compute binary expreesion, left_input=1351, right_input=7873, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23619","layer":1},{"info":"compute unary expreesion, input=-23619, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=70778","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍7CC↙⪎⋱⫍3778)⊦⊿=⪎⋱⫍262A6","reverse_text":"⪎⋱⫍262A6=(⪎⋱⫍7CC↙⪎⋱⫍3778)⊦⊿","cot":[{"info":"⪎⋱⫍7CC↙⪎⋱⫍3778=⪎⋱⫍-A99B","layer":1},{"info":"⪎⋱⫍-A99B⊦⊿=⪎⋱⫍262A6","layer":0}]}
{"id":683,"expression_no_base_symbol":"$2124$↬$1116$⨐⩸⫘(↣≠⋷$3990$)","expression":"⪎⋱⫍C75↬⪎⋱⫍67B⨐⩸⫘(↣≠⋷⪎⋱⫍1A7C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2124,"base":13},"right_expr":{"type":"numeric_atoms","value":1116,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3990,"base":13}}},"used_operators":["fu6greOZ01","B5M0gjZbta","Asc51vEJeQ"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2124","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=2124, right_input=1116, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3990","layer":2},{"info":"compute unary expreesion, input=3990, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍C75↬⪎⋱⫍67B⨐⩸⫘(↣≠⋷⪎⋱⫍1A7C)=NaN","reverse_text":"NaN=⪎⋱⫍C75↬⪎⋱⫍67B⨐⩸⫘(↣≠⋷⪎⋱⫍1A7C)","cot":[{"info":"⪎⋱⫍C75↬⪎⋱⫍67B=NaN","layer":1},{"info":"↣≠⋷⪎⋱⫍1A7C=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"⫛⫱⨽($1899$⩚⊴⇥$1052$)","expression":"⫛⫱⨽(⪎⋱⫍B31⩚⊴⇥⪎⋱⫍62C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1899,"base":13},"right_expr":{"type":"numeric_atoms","value":1052,"base":13}}},"used_operators":["DlLNRPXxWL","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1899","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=1899, right_input=1052, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3072","layer":1},{"info":"compute unary expreesion, input=-3072, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍B31⩚⊴⇥⪎⋱⫍62C)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(⪎⋱⫍B31⩚⊴⇥⪎⋱⫍62C)","cot":[{"info":"⪎⋱⫍B31⩚⊴⇥⪎⋱⫍62C=⪎⋱⫍-1524","layer":1},{"info":"⫛⫱⨽⪎⋱⫍-1524=⪎⋱⫍0","layer":0}]}
{"id":685,"expression_no_base_symbol":"⨰⫟⨤($5865$≎⊠⪸$1179$)","expression":"⨰⫟⨤(⪎⋱⫍2892≎⊠⪸⪎⋱⫍6C9)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3036556,"operation_count":2,"complexity_ratio":1518278.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5865,"base":13},"right_expr":{"type":"numeric_atoms","value":1179,"base":13}}},"used_operators":["Tw270M8GLb","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5865","layer":2},{"info":"number node, value=1179","layer":2},{"info":"compute binary expreesion, left_input=5865, right_input=1179, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1518562","layer":1},{"info":"compute unary expreesion, input=1518562, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍2892≎⊠⪸⪎⋱⫍6C9)=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍2892≎⊠⪸⪎⋱⫍6C9)","cot":[{"info":"⪎⋱⫍2892≎⊠⪸⪎⋱⫍6C9=⪎⋱⫍412276","layer":1},{"info":"⨰⫟⨤⪎⋱⫍412276=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"(↥$2504$)⩚⊴⇥($4467$≭$3277$)","expression":"(↥⪎⋱⫍11A8)⩚⊴⇥(⪎⋱⫍2058≭⪎⋱⫍1651)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2504,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4467,"base":13},"right_expr":{"type":"numeric_atoms","value":3277,"base":13}}},"used_operators":["NTOWxs364D","A8NUZmVepG","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2504","layer":2},{"info":"compute unary expreesion, input=2504, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":1},{"info":"number node, value=4467","layer":2},{"info":"number node, value=3277","layer":2},{"info":"compute binary expreesion, left_input=4467, right_input=3277, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↥⪎⋱⫍11A8)⩚⊴⇥(⪎⋱⫍2058≭⪎⋱⫍1651)=NaN","reverse_text":"NaN=(↥⪎⋱⫍11A8)⩚⊴⇥(⪎⋱⫍2058≭⪎⋱⫍1651)","cot":[{"info":"↥⪎⋱⫍11A8=⪎⋱⫍5","layer":1},{"info":"⪎⋱⫍2058≭⪎⋱⫍1651=NaN","layer":1},{"info":"⪎⋱⫍5⩚⊴⇥NaN=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"$1265$≭$1674$⋷$5310$⩨$8669$","expression":"⪎⋱⫍764≭⪎⋱⫍9BA⋷⪎⋱⫍2556⩨⪎⋱⫍3C3B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1265,"base":13},"right_expr":{"type":"numeric_atoms","value":1674,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5310,"base":13},"right_expr":{"type":"numeric_atoms","value":8669,"base":13}}},"used_operators":["23Mk6UjR3U","rxpJgHHUmx","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1265","layer":2},{"info":"number node, value=1674","layer":2},{"info":"compute binary expreesion, left_input=1265, right_input=1674, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5310","layer":2},{"info":"number node, value=8669","layer":2},{"info":"compute binary expreesion, left_input=5310, right_input=8669, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍764≭⪎⋱⫍9BA⋷⪎⋱⫍2556⩨⪎⋱⫍3C3B=NaN","reverse_text":"NaN=⪎⋱⫍764≭⪎⋱⫍9BA⋷⪎⋱⫍2556⩨⪎⋱⫍3C3B","cot":[{"info":"⪎⋱⫍764≭⪎⋱⫍9BA=NaN","layer":1},{"info":"⪎⋱⫍2556⩨⪎⋱⫍3C3B=⪎⋱⫍-3","layer":1},{"info":"NaN⋷⪎⋱⫍-3=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"⨈⫕$4259$⨽$1262$","expression":"⨈⫕⪎⋱⫍1C28⨽⪎⋱⫍761","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4654,"operation_count":2,"complexity_ratio":2327.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4259,"base":13},"right_expr":{"type":"numeric_atoms","value":1262,"base":13}}},"used_operators":["megm06wKyl","8HhzD0ZcuI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4259","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=4259, right_input=1262, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54419715","layer":1},{"info":"compute unary expreesion, input=-54419715, 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":13,"result_base":13,"text":"⨈⫕⪎⋱⫍1C28⨽⪎⋱⫍761=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕⪎⋱⫍1C28⨽⪎⋱⫍761","cot":[{"info":"⪎⋱⫍1C28⨽⪎⋱⫍761=⪎⋱⫍-B37501C","layer":1},{"info":"⨈⫕⪎⋱⫍-B37501C=⪎⋱⫍-18","layer":0}]}
{"id":689,"expression_no_base_symbol":"↽≂(⊙↵-$1288$)","expression":"↽≂(⊙↵-⪎⋱⫍781)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1337,"operation_count":2,"complexity_ratio":668.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1288,"base":13}}},"used_operators":["u6S6b8DprG","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍2","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1288","layer":2},{"info":"compute unary expreesion, input=1288, 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 = 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":13,"result_base":13,"text":"↽≂(⊙↵-⪎⋱⫍781)=⪎⋱⫍2","reverse_text":"⪎⋱⫍2=↽≂(⊙↵-⪎⋱⫍781)","cot":[{"info":"⊙↵-⪎⋱⫍781=⪎⋱⫍-1","layer":1},{"info":"↽≂⪎⋱⫍-1=⪎⋱⫍2","layer":0}]}
{"id":690,"expression_no_base_symbol":"⨈⫕$1417$⩚⊴⇥$4231$","expression":"⨈⫕⪎⋱⫍850⩚⊴⇥⪎⋱⫍1C06","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1417,"base":13},"right_expr":{"type":"numeric_atoms","value":4231,"base":13}}},"used_operators":["megm06wKyl","NTOWxs364D"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":2},{"info":"number node, value=4231","layer":2},{"info":"compute binary expreesion, left_input=1417, right_input=4231, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5769","layer":1},{"info":"compute unary expreesion, input=-5769, 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":13,"result_base":13,"text":"⨈⫕⪎⋱⫍850⩚⊴⇥⪎⋱⫍1C06=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕⪎⋱⫍850⩚⊴⇥⪎⋱⫍1C06","cot":[{"info":"⪎⋱⫍850⩚⊴⇥⪎⋱⫍1C06=⪎⋱⫍-281A","layer":1},{"info":"⨈⫕⪎⋱⫍-281A=⪎⋱⫍-18","layer":0}]}
{"id":691,"expression_no_base_symbol":"$2480$⨽$2376$↛⩡⫤","expression":"⪎⋱⫍118A⨽⪎⋱⫍110A↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2534,"operation_count":2,"complexity_ratio":1267.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2480,"base":13},"right_expr":{"type":"numeric_atoms","value":2376,"base":13}}},"used_operators":["FU0Cs4j7VP","8HhzD0ZcuI"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":2},{"info":"number node, value=2376","layer":2},{"info":"compute binary expreesion, left_input=2480, right_input=2376, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18457014","layer":1},{"info":"compute unary expreesion, input=-18457014, 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":13,"result_base":13,"text":"⪎⋱⫍118A⨽⪎⋱⫍110A↛⩡⫤=NaN","reverse_text":"NaN=⪎⋱⫍118A⨽⪎⋱⫍110A↛⩡⫤","cot":[{"info":"⪎⋱⫍118A⨽⪎⋱⫍110A=⪎⋱⫍-3A93014","layer":1},{"info":"⪎⋱⫍-3A93014↛⩡⫤=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"$6598$≎⊠⪸$2180$⋷(≤/$2697$)","expression":"⪎⋱⫍3007≎⊠⪸⪎⋱⫍CB9⋷(≤/⪎⋱⫍12C6)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6598,"base":13},"right_expr":{"type":"numeric_atoms","value":2180,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2697,"base":13}}},"used_operators":["23Mk6UjR3U","bJkvcejdHO","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"⪎⋱⫍-47C817","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6598","layer":2},{"info":"number node, value=2180","layer":2},{"info":"compute binary expreesion, left_input=6598, right_input=2180, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1708409","layer":1},{"info":"number node, value=2697","layer":2},{"info":"compute unary expreesion, input=2697, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2213","layer":1},{"info":"compute binary expreesion, left_input=1708409, right_input=-2213, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1712835","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3007≎⊠⪸⪎⋱⫍CB9⋷(≤/⪎⋱⫍12C6)=⪎⋱⫍-47C817","reverse_text":"⪎⋱⫍-47C817=⪎⋱⫍3007≎⊠⪸⪎⋱⫍CB9⋷(≤/⪎⋱⫍12C6)","cot":[{"info":"⪎⋱⫍3007≎⊠⪸⪎⋱⫍CB9=⪎⋱⫍47A7C1","layer":1},{"info":"≤/⪎⋱⫍12C6=⪎⋱⫍-1013","layer":1},{"info":"⪎⋱⫍47A7C1⋷⪎⋱⫍-1013=⪎⋱⫍-47C817","layer":0}]}
{"id":693,"expression_no_base_symbol":"($8737$⨵⪆$4202$)⊉≛↸($1602$%$1839$)","expression":"(⪎⋱⫍3C91⨵⪆⪎⋱⫍1BB3)⊉≛↸(⪎⋱⫍963%⪎⋱⫍AB6)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8737,"base":13},"right_expr":{"type":"numeric_atoms","value":4202,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1602,"base":13},"right_expr":{"type":"numeric_atoms","value":1839,"base":13}}},"used_operators":["DZ8iAZOCBD","2DQ55sFlQl","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍1B8","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8737","layer":2},{"info":"number node, value=4202","layer":2},{"info":"compute binary expreesion, left_input=8737, right_input=4202, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1602","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=1602, right_input=1839, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1602","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1602, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3C91⨵⪆⪎⋱⫍1BB3)⊉≛↸(⪎⋱⫍963%⪎⋱⫍AB6)=⪎⋱⫍1B8","reverse_text":"⪎⋱⫍1B8=(⪎⋱⫍3C91⨵⪆⪎⋱⫍1BB3)⊉≛↸(⪎⋱⫍963%⪎⋱⫍AB6)","cot":[{"info":"⪎⋱⫍3C91⨵⪆⪎⋱⫍1BB3=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍963%⪎⋱⫍AB6=⪎⋱⫍963","layer":1},{"info":"⪎⋱⫍C4⊉≛↸⪎⋱⫍963=⪎⋱⫍1B8","layer":0}]}
{"id":694,"expression_no_base_symbol":"$2680$⩚⊴⇥$1004$∲⫓$2430$∑⇟⊟$3889$","expression":"⪎⋱⫍12B2⩚⊴⇥⪎⋱⫍5C3∲⫓⪎⋱⫍114C∑⇟⊟⪎⋱⫍1A02","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2680,"base":13},"right_expr":{"type":"numeric_atoms","value":1004,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2430,"base":13},"right_expr":{"type":"numeric_atoms","value":3889,"base":13}}},"used_operators":["i8ToyICDmI","NTOWxs364D","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2680","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=2680, right_input=1004, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3805","layer":1},{"info":"number node, value=2430","layer":2},{"info":"number node, value=3889","layer":2},{"info":"compute binary expreesion, left_input=2430, right_input=3889, 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=-3805, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍12B2⩚⊴⇥⪎⋱⫍5C3∲⫓⪎⋱⫍114C∑⇟⊟⪎⋱⫍1A02=NaN","reverse_text":"NaN=⪎⋱⫍12B2⩚⊴⇥⪎⋱⫍5C3∲⫓⪎⋱⫍114C∑⇟⊟⪎⋱⫍1A02","cot":[{"info":"⪎⋱⫍12B2⩚⊴⇥⪎⋱⫍5C3=⪎⋱⫍-1969","layer":1},{"info":"⪎⋱⫍114C∑⇟⊟⪎⋱⫍1A02=NaN","layer":1},{"info":"⪎⋱⫍-1969∲⫓NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"↣≠⋷($1620$⪛$3275$)","expression":"↣≠⋷(⪎⋱⫍978⪛⪎⋱⫍164C)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1620,"base":13},"right_expr":{"type":"numeric_atoms","value":3275,"base":13}}},"used_operators":["Asc51vEJeQ","uFcxV4UQCh"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1620","layer":2},{"info":"number node, value=3275","layer":2},{"info":"compute binary expreesion, left_input=1620, right_input=3275, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1620","layer":1},{"info":"compute unary expreesion, input=1620, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷(⪎⋱⫍978⪛⪎⋱⫍164C)=NaN","reverse_text":"NaN=↣≠⋷(⪎⋱⫍978⪛⪎⋱⫍164C)","cot":[{"info":"⪎⋱⫍978⪛⪎⋱⫍164C=⪎⋱⫍978","layer":1},{"info":"↣≠⋷⪎⋱⫍978=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"$3265$⪄$1044$⊉≛↸($2564$⫩⊇)","expression":"⪎⋱⫍1642⪄⪎⋱⫍624⊉≛↸(⪎⋱⫍1223⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3265,"base":13},"right_expr":{"type":"numeric_atoms","value":1044,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2564,"base":13}}},"used_operators":["DZ8iAZOCBD","SUmda5xLS4","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍11C0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3265","layer":2},{"info":"number node, value=1044","layer":2},{"info":"compute binary expreesion, left_input=3265, right_input=1044, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-483485","layer":1},{"info":"number node, value=2564","layer":2},{"info":"compute unary expreesion, input=2564, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2522","layer":1},{"info":"compute binary expreesion, left_input=-483485, right_input=-2522, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2522","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1642⪄⪎⋱⫍624⊉≛↸(⪎⋱⫍1223⫩⊇)=⪎⋱⫍11C0","reverse_text":"⪎⋱⫍11C0=⪎⋱⫍1642⪄⪎⋱⫍624⊉≛↸(⪎⋱⫍1223⫩⊇)","cot":[{"info":"⪎⋱⫍1642⪄⪎⋱⫍624=⪎⋱⫍-13C0B2","layer":1},{"info":"⪎⋱⫍1223⫩⊇=⪎⋱⫍-11C0","layer":1},{"info":"⪎⋱⫍-13C0B2⊉≛↸⪎⋱⫍-11C0=⪎⋱⫍11C0","layer":0}]}
{"id":697,"expression_no_base_symbol":"⨑⩽⪐$2344$⪢$5419$","expression":"⨑⩽⪐⪎⋱⫍10B4⪢⪎⋱⫍260B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5426,"operation_count":2,"complexity_ratio":2713.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2344,"base":13},"right_expr":{"type":"numeric_atoms","value":5419,"base":13}}},"used_operators":["AF7qkfDlqP","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2344","layer":2},{"info":"number node, value=5419","layer":2},{"info":"compute binary expreesion, left_input=2344, right_input=5419, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐⪎⋱⫍10B4⪢⪎⋱⫍260B=NaN","reverse_text":"NaN=⨑⩽⪐⪎⋱⫍10B4⪢⪎⋱⫍260B","cot":[{"info":"⪎⋱⫍10B4⪢⪎⋱⫍260B=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"$1009$∑⇟⊟$2727$⪄$1219$↙$4252$","expression":"⪎⋱⫍5C8∑⇟⊟⪎⋱⫍131A⪄⪎⋱⫍72A↙⪎⋱⫍1C21","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4277,"operation_count":3,"complexity_ratio":1425.6666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":2727,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1219,"base":13},"right_expr":{"type":"numeric_atoms","value":4252,"base":13}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","yyfyN0ffXY"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":2},{"info":"number node, value=2727","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=2727, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1219","layer":2},{"info":"number node, value=4252","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=4252, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12756","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12756, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍5C8∑⇟⊟⪎⋱⫍131A⪄⪎⋱⫍72A↙⪎⋱⫍1C21=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=⪎⋱⫍5C8∑⇟⊟⪎⋱⫍131A⪄⪎⋱⫍72A↙⪎⋱⫍1C21","cot":[{"info":"⪎⋱⫍5C8∑⇟⊟⪎⋱⫍131A=NaN","layer":1},{"info":"⪎⋱⫍72A↙⪎⋱⫍1C21=⪎⋱⫍-5A63","layer":1},{"info":"NaN⪄⪎⋱⫍-5A63=⪎⋱⫍1A71","layer":0}]}
{"id":699,"expression_no_base_symbol":"∥⊫$7511$≧⫂∧$3434$","expression":"∥⊫⪎⋱⫍355A≧⫂∧⪎⋱⫍1742","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7511,"base":13},"right_expr":{"type":"numeric_atoms","value":3434,"base":13}}},"used_operators":["P8v4zCKN1o","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1987","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7511","layer":2},{"info":"number node, value=3434","layer":2},{"info":"compute binary expreesion, left_input=7511, right_input=3434, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2961","layer":1},{"info":"compute unary expreesion, input=2961, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3829","layer":0}],"base":13,"result_base":13,"text":"∥⊫⪎⋱⫍355A≧⫂∧⪎⋱⫍1742=⪎⋱⫍1987","reverse_text":"⪎⋱⫍1987=∥⊫⪎⋱⫍355A≧⫂∧⪎⋱⫍1742","cot":[{"info":"⪎⋱⫍355A≧⫂∧⪎⋱⫍1742=⪎⋱⫍146A","layer":1},{"info":"∥⊫⪎⋱⫍146A=⪎⋱⫍1987","layer":0}]}
{"id":700,"expression_no_base_symbol":"($6175$⨵⪆$6456$)⪄(⪲⇎$4321$)","expression":"(⪎⋱⫍2A70⨵⪆⪎⋱⫍2C28)⪄(⪲⇎⪎⋱⫍1C75)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6175,"base":13},"right_expr":{"type":"numeric_atoms","value":6456,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4321,"base":13}}},"used_operators":["SUmda5xLS4","2DQ55sFlQl","XPYlsWDdGa"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1B96A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6175","layer":2},{"info":"number node, value=6456","layer":2},{"info":"compute binary expreesion, left_input=6175, right_input=6456, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4321","layer":2},{"info":"compute unary expreesion, input=4321, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8642","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=8642, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-54337","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2A70⨵⪆⪎⋱⫍2C28)⪄(⪲⇎⪎⋱⫍1C75)=⪎⋱⫍-1B96A","reverse_text":"⪎⋱⫍-1B96A=(⪎⋱⫍2A70⨵⪆⪎⋱⫍2C28)⪄(⪲⇎⪎⋱⫍1C75)","cot":[{"info":"⪎⋱⫍2A70⨵⪆⪎⋱⫍2C28=⪎⋱⫍C4","layer":1},{"info":"⪲⇎⪎⋱⫍1C75=⪎⋱⫍3C1A","layer":1},{"info":"⪎⋱⫍C4⪄⪎⋱⫍3C1A=⪎⋱⫍-1B96A","layer":0}]}
{"id":701,"expression_no_base_symbol":"$2475$⨳⩥⨓$3514$⋷$1187$≧⫂∧$1937$","expression":"⪎⋱⫍1185⨳⩥⨓⪎⋱⫍17A4⋷⪎⋱⫍704≧⫂∧⪎⋱⫍B60","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2475,"base":13},"right_expr":{"type":"numeric_atoms","value":3514,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1187,"base":13},"right_expr":{"type":"numeric_atoms","value":1937,"base":13}}},"used_operators":["23Mk6UjR3U","nCS4ZIUYfx","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍B24","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2475","layer":2},{"info":"number node, value=3514","layer":2},{"info":"compute binary expreesion, left_input=2475, right_input=3514, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1039","layer":1},{"info":"number node, value=1187","layer":2},{"info":"number node, value=1937","layer":2},{"info":"compute binary expreesion, left_input=1187, right_input=1937, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1464","layer":1},{"info":"compute binary expreesion, left_input=1039, right_input=1464, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1889","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1185⨳⩥⨓⪎⋱⫍17A4⋷⪎⋱⫍704≧⫂∧⪎⋱⫍B60=⪎⋱⫍B24","reverse_text":"⪎⋱⫍B24=⪎⋱⫍1185⨳⩥⨓⪎⋱⫍17A4⋷⪎⋱⫍704≧⫂∧⪎⋱⫍B60","cot":[{"info":"⪎⋱⫍1185⨳⩥⨓⪎⋱⫍17A4=⪎⋱⫍61C","layer":1},{"info":"⪎⋱⫍704≧⫂∧⪎⋱⫍B60=⪎⋱⫍888","layer":1},{"info":"⪎⋱⫍61C⋷⪎⋱⫍888=⪎⋱⫍B24","layer":0}]}
{"id":702,"expression_no_base_symbol":"$1787$⨐⩸⫘$1144$⪨≂$4801$≎⊠⪸$2219$","expression":"⪎⋱⫍A76⨐⩸⫘⪎⋱⫍6A0⪨≂⪎⋱⫍2254≎⊠⪸⪎⋱⫍1019","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1787,"base":13},"right_expr":{"type":"numeric_atoms","value":1144,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4801,"base":13},"right_expr":{"type":"numeric_atoms","value":2219,"base":13}}},"used_operators":["sdazOOVcIp","fu6greOZ01","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=1787, 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":1},{"info":"number node, value=4801","layer":2},{"info":"number node, value=2219","layer":2},{"info":"compute binary expreesion, left_input=4801, right_input=2219, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1242986","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1242986, op_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":13,"result_base":13,"text":"⪎⋱⫍A76⨐⩸⫘⪎⋱⫍6A0⪨≂⪎⋱⫍2254≎⊠⪸⪎⋱⫍1019=NaN","reverse_text":"NaN=⪎⋱⫍A76⨐⩸⫘⪎⋱⫍6A0⪨≂⪎⋱⫍2254≎⊠⪸⪎⋱⫍1019","cot":[{"info":"⪎⋱⫍A76⨐⩸⫘⪎⋱⫍6A0=NaN","layer":1},{"info":"⪎⋱⫍2254≎⊠⪸⪎⋱⫍1019=⪎⋱⫍3469C4","layer":1},{"info":"NaN⪨≂⪎⋱⫍3469C4=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"⫛⫱⨽($6175$⪢$3310$)","expression":"⫛⫱⨽(⪎⋱⫍2A70⪢⪎⋱⫍1678)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4267,"operation_count":2,"complexity_ratio":2133.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6175,"base":13},"right_expr":{"type":"numeric_atoms","value":3310,"base":13}}},"used_operators":["DlLNRPXxWL","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6175","layer":2},{"info":"number node, value=3310","layer":2},{"info":"compute binary expreesion, left_input=6175, right_input=3310, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍2A70⪢⪎⋱⫍1678)=NaN","reverse_text":"NaN=⫛⫱⨽(⪎⋱⫍2A70⪢⪎⋱⫍1678)","cot":[{"info":"⪎⋱⫍2A70⪢⪎⋱⫍1678=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"($5668$%$5719$)⪮%⊝($1467$⨰$7060$)","expression":"(⪎⋱⫍2770%⪎⋱⫍27AC)⪮%⊝(⪎⋱⫍88B⨰⪎⋱⫍32A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5668,"base":13},"right_expr":{"type":"numeric_atoms","value":5719,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1467,"base":13},"right_expr":{"type":"numeric_atoms","value":7060,"base":13}}},"used_operators":["IWmyXbctLI","k8jYdgA6NY","eewbuw0ToL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍53C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5668","layer":2},{"info":"number node, value=5719","layer":2},{"info":"compute binary expreesion, left_input=5668, right_input=5719, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5668","layer":1},{"info":"number node, value=1467","layer":2},{"info":"number node, value=7060","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=7060, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5583","layer":1},{"info":"compute binary expreesion, left_input=5668, right_input=-5583, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11652","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2770%⪎⋱⫍27AC)⪮%⊝(⪎⋱⫍88B⨰⪎⋱⫍32A1)=⪎⋱⫍53C4","reverse_text":"⪎⋱⫍53C4=(⪎⋱⫍2770%⪎⋱⫍27AC)⪮%⊝(⪎⋱⫍88B⨰⪎⋱⫍32A1)","cot":[{"info":"⪎⋱⫍2770%⪎⋱⫍27AC=⪎⋱⫍2770","layer":1},{"info":"⪎⋱⫍88B⨰⪎⋱⫍32A1=⪎⋱⫍-2706","layer":1},{"info":"⪎⋱⫍2770⪮%⊝⪎⋱⫍-2706=⪎⋱⫍53C4","layer":0}]}
{"id":705,"expression_no_base_symbol":"↥$1434$↬$4053$","expression":"↥⪎⋱⫍864↬⪎⋱⫍1ACA","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1434,"base":13},"right_expr":{"type":"numeric_atoms","value":4053,"base":13}}},"used_operators":["A8NUZmVepG","B5M0gjZbta"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1434","layer":2},{"info":"number node, value=4053","layer":2},{"info":"compute binary expreesion, left_input=1434, right_input=4053, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥⪎⋱⫍864↬⪎⋱⫍1ACA=NaN","reverse_text":"NaN=↥⪎⋱⫍864↬⪎⋱⫍1ACA","cot":[{"info":"⪎⋱⫍864↬⪎⋱⫍1ACA=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"($2821$↛⩡⫤)∑⇟⊟(⋗⩬⋾$7169$)","expression":"(⪎⋱⫍1390↛⩡⫤)∑⇟⊟(⋗⩬⋾⪎⋱⫍3356)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8601,"operation_count":3,"complexity_ratio":2867.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2821,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7169,"base":13}}},"used_operators":["U7g4x0WXJJ","FU0Cs4j7VP","DpFCA1CohY"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2821","layer":2},{"info":"compute unary expreesion, input=2821, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-422060","layer":1},{"info":"number node, value=7169","layer":2},{"info":"compute unary expreesion, input=7169, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21507","layer":1},{"info":"compute binary expreesion, left_input=-422060, right_input=-21507, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1390↛⩡⫤)∑⇟⊟(⋗⩬⋾⪎⋱⫍3356)=NaN","reverse_text":"NaN=(⪎⋱⫍1390↛⩡⫤)∑⇟⊟(⋗⩬⋾⪎⋱⫍3356)","cot":[{"info":"⪎⋱⫍1390↛⩡⫤=⪎⋱⫍-11A152","layer":1},{"info":"⋗⩬⋾⪎⋱⫍3356=⪎⋱⫍-9A35","layer":1},{"info":"⪎⋱⫍-11A152∑⇟⊟⪎⋱⫍-9A35=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"($3746$⫩⊇)⊪","expression":"(⪎⋱⫍1922⫩⊇)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11131,"operation_count":2,"complexity_ratio":5565.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3746,"base":13}}},"used_operators":["zVYPLywUTj","BjRHVeLaeN"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍22688A64","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3746","layer":2},{"info":"compute unary expreesion, input=3746, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3704","layer":1},{"info":"compute unary expreesion, input=-3704, 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=137626246","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1922⫩⊇)⊪=⪎⋱⫍22688A64","reverse_text":"⪎⋱⫍22688A64=(⪎⋱⫍1922⫩⊇)⊪","cot":[{"info":"⪎⋱⫍1922⫩⊇=⪎⋱⫍-18BC","layer":1},{"info":"⪎⋱⫍-18BC⊪=⪎⋱⫍22688A64","layer":0}]}
{"id":708,"expression_no_base_symbol":"($1224$⇼⇔∾$2546$)⩷∴$5381$⊴$2411$","expression":"(⪎⋱⫍732⇼⇔∾⪎⋱⫍120B)⩷∴⪎⋱⫍25AC⊴⪎⋱⫍1136","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8405,"operation_count":3,"complexity_ratio":2801.6666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1224,"base":13},"right_expr":{"type":"numeric_atoms","value":2546,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5381,"base":13},"right_expr":{"type":"numeric_atoms","value":2411,"base":13}}},"used_operators":["9FxExcQeMw","tifHPKVTfV","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1224","layer":2},{"info":"number node, value=2546","layer":2},{"info":"compute binary expreesion, left_input=1224, right_input=2546, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1322","layer":1},{"info":"number node, value=5381","layer":2},{"info":"number node, value=2411","layer":2},{"info":"compute binary expreesion, left_input=5381, right_input=2411, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1322, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍732⇼⇔∾⪎⋱⫍120B)⩷∴⪎⋱⫍25AC⊴⪎⋱⫍1136=NaN","reverse_text":"NaN=(⪎⋱⫍732⇼⇔∾⪎⋱⫍120B)⩷∴⪎⋱⫍25AC⊴⪎⋱⫍1136","cot":[{"info":"⪎⋱⫍732⇼⇔∾⪎⋱⫍120B=⪎⋱⫍7A9","layer":1},{"info":"⪎⋱⫍25AC⊴⪎⋱⫍1136=NaN","layer":1},{"info":"⪎⋱⫍7A9⩷∴NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"(≦∁$3170$)⊉≛↸($1363$/$5687$)","expression":"(≦∁⪎⋱⫍159B)⊉≛↸(⪎⋱⫍80B/⪎⋱⫍2786)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3170,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1363,"base":13},"right_expr":{"type":"numeric_atoms","value":5687,"base":13}}},"used_operators":["DZ8iAZOCBD","9ICcGScMcE","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"⪎⋱⫍2B69","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3170","layer":2},{"info":"compute unary expreesion, input=3170, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3170","layer":1},{"info":"number node, value=1363","layer":2},{"info":"number node, value=5687","layer":2},{"info":"compute binary expreesion, left_input=1363, right_input=5687, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=3170, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6340","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍159B)⊉≛↸(⪎⋱⫍80B/⪎⋱⫍2786)=⪎⋱⫍2B69","reverse_text":"⪎⋱⫍2B69=(≦∁⪎⋱⫍159B)⊉≛↸(⪎⋱⫍80B/⪎⋱⫍2786)","cot":[{"info":"≦∁⪎⋱⫍159B=⪎⋱⫍159B","layer":1},{"info":"⪎⋱⫍80B/⪎⋱⫍2786=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍159B⊉≛↸⪎⋱⫍0=⪎⋱⫍2B69","layer":0}]}
{"id":710,"expression_no_base_symbol":"$6181$⨸⪁$4511$+(≤/$8704$)","expression":"⪎⋱⫍2A76⨸⪁⪎⋱⫍2090+(≤/⪎⋱⫍3C67)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6181,"base":13},"right_expr":{"type":"numeric_atoms","value":4511,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8704,"base":13}}},"used_operators":["W4YGzv6Whe","g55IO6H4Gj","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍5CB8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6181","layer":2},{"info":"number node, value=4511","layer":2},{"info":"compute binary expreesion, left_input=6181, right_input=4511, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21384","layer":1},{"info":"number node, value=8704","layer":2},{"info":"compute unary expreesion, input=8704, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8220","layer":1},{"info":"compute binary expreesion, left_input=21384, right_input=-8220, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13164","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2A76⨸⪁⪎⋱⫍2090+(≤/⪎⋱⫍3C67)=⪎⋱⫍5CB8","reverse_text":"⪎⋱⫍5CB8=⪎⋱⫍2A76⨸⪁⪎⋱⫍2090+(≤/⪎⋱⫍3C67)","cot":[{"info":"⪎⋱⫍2A76⨸⪁⪎⋱⫍2090=⪎⋱⫍996C","layer":1},{"info":"≤/⪎⋱⫍3C67=⪎⋱⫍-3984","layer":1},{"info":"⪎⋱⫍996C+⪎⋱⫍-3984=⪎⋱⫍5CB8","layer":0}]}
{"id":711,"expression_no_base_symbol":"($3571$%$5655$)⪠⩆⊳","expression":"(⪎⋱⫍1819%⪎⋱⫍2760)⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3571,"base":13},"right_expr":{"type":"numeric_atoms","value":5655,"base":13}}},"used_operators":["JLbD19bQDL","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3571","layer":2},{"info":"number node, value=5655","layer":2},{"info":"compute binary expreesion, left_input=3571, right_input=5655, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3571","layer":1},{"info":"compute unary expreesion, input=3571, 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":13,"result_base":13,"text":"(⪎⋱⫍1819%⪎⋱⫍2760)⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1819%⪎⋱⫍2760)⪠⩆⊳","cot":[{"info":"⪎⋱⫍1819%⪎⋱⫍2760=⪎⋱⫍1819","layer":1},{"info":"⪎⋱⫍1819⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":712,"expression_no_base_symbol":"($1969$⨵⪆$1050$)⪠⩆⊳","expression":"(⪎⋱⫍B86⨵⪆⪎⋱⫍62A)⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1969,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}}},"used_operators":["JLbD19bQDL","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1969","layer":2},{"info":"number node, value=1050","layer":2},{"info":"compute binary expreesion, left_input=1969, right_input=1050, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍B86⨵⪆⪎⋱⫍62A)⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍B86⨵⪆⪎⋱⫍62A)⪠⩆⊳","cot":[{"info":"⪎⋱⫍B86⨵⪆⪎⋱⫍62A=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍C4⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":713,"expression_no_base_symbol":"$1836$↬$2909$⨰($3078$∲⫓$4391$)","expression":"⪎⋱⫍AB3↬⪎⋱⫍142A⨰(⪎⋱⫍152A∲⫓⪎⋱⫍1CCA)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1836,"base":13},"right_expr":{"type":"numeric_atoms","value":2909,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3078,"base":13},"right_expr":{"type":"numeric_atoms","value":4391,"base":13}}},"used_operators":["eewbuw0ToL","B5M0gjZbta","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1836","layer":2},{"info":"number node, value=2909","layer":2},{"info":"compute binary expreesion, left_input=1836, right_input=2909, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3078","layer":2},{"info":"number node, value=4391","layer":2},{"info":"compute binary expreesion, left_input=3078, right_input=4391, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍AB3↬⪎⋱⫍142A⨰(⪎⋱⫍152A∲⫓⪎⋱⫍1CCA)=NaN","reverse_text":"NaN=⪎⋱⫍AB3↬⪎⋱⫍142A⨰(⪎⋱⫍152A∲⫓⪎⋱⫍1CCA)","cot":[{"info":"⪎⋱⫍AB3↬⪎⋱⫍142A=NaN","layer":1},{"info":"⪎⋱⫍152A∲⫓⪎⋱⫍1CCA=⪎⋱⫍0","layer":1},{"info":"NaN⨰⪎⋱⫍0=NaN","layer":0}]}
{"id":714,"expression_no_base_symbol":"↯⪼($1002$∼$1277$)","expression":"↯⪼(⪎⋱⫍5C1∼⪎⋱⫍773)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":2,"complexity_ratio":26.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":1277,"base":13}}},"used_operators":["8jW3W4yZS5","DyGG3AbaNP"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=1277","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=1277, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼(⪎⋱⫍5C1∼⪎⋱⫍773)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼(⪎⋱⫍5C1∼⪎⋱⫍773)","cot":[{"info":"⪎⋱⫍5C1∼⪎⋱⫍773=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":715,"expression_no_base_symbol":"$5106$⪘⫢$2565$∲⫓$7208$+⇶⊼$5045$","expression":"⪎⋱⫍242A⪘⫢⪎⋱⫍1224∲⫓⪎⋱⫍3386+⇶⊼⪎⋱⫍23B1","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5106,"base":13},"right_expr":{"type":"numeric_atoms","value":2565,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7208,"base":13},"right_expr":{"type":"numeric_atoms","value":5045,"base":13}}},"used_operators":["i8ToyICDmI","oacrs7FA3X","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5106","layer":2},{"info":"number node, value=2565","layer":2},{"info":"compute binary expreesion, left_input=5106, right_input=2565, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10088","layer":1},{"info":"number node, value=7208","layer":2},{"info":"number node, value=5045","layer":2},{"info":"compute binary expreesion, left_input=7208, 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":1},{"info":"compute binary expreesion, left_input=10088, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍242A⪘⫢⪎⋱⫍1224∲⫓⪎⋱⫍3386+⇶⊼⪎⋱⫍23B1=NaN","reverse_text":"NaN=⪎⋱⫍242A⪘⫢⪎⋱⫍1224∲⫓⪎⋱⫍3386+⇶⊼⪎⋱⫍23B1","cot":[{"info":"⪎⋱⫍242A⪘⫢⪎⋱⫍1224=⪎⋱⫍4790","layer":1},{"info":"⪎⋱⫍3386+⇶⊼⪎⋱⫍23B1=NaN","layer":1},{"info":"⪎⋱⫍4790∲⫓NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"⨑⩽⪐($1118$⪒$1251$)","expression":"⨑⩽⪐(⪎⋱⫍680⪒⪎⋱⫍753)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1118,"base":13},"right_expr":{"type":"numeric_atoms","value":1251,"base":13}}},"used_operators":["AF7qkfDlqP","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2692","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":2},{"info":"number node, value=1251","layer":2},{"info":"compute binary expreesion, left_input=1118, right_input=1251, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2369","layer":1},{"info":"compute unary expreesion, input=-2369, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=5527","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⪎⋱⫍680⪒⪎⋱⫍753)=⪎⋱⫍2692","reverse_text":"⪎⋱⫍2692=⨑⩽⪐(⪎⋱⫍680⪒⪎⋱⫍753)","cot":[{"info":"⪎⋱⫍680⪒⪎⋱⫍753=⪎⋱⫍-1103","layer":1},{"info":"⨑⩽⪐⪎⋱⫍-1103=⪎⋱⫍2692","layer":0}]}
{"id":717,"expression_no_base_symbol":"$3945$⨪↰⇹$3095$∲⫓$3682$⋝⋈⪟$2917$","expression":"⪎⋱⫍1A46⨪↰⇹⪎⋱⫍1541∲⫓⪎⋱⫍18A3⋝⋈⪟⪎⋱⫍1435","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3950,"operation_count":3,"complexity_ratio":1316.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3945,"base":13},"right_expr":{"type":"numeric_atoms","value":3095,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3682,"base":13},"right_expr":{"type":"numeric_atoms","value":2917,"base":13}}},"used_operators":["i8ToyICDmI","tmPS8pqC7x","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3945","layer":2},{"info":"number node, value=3095","layer":2},{"info":"compute binary expreesion, left_input=3945, right_input=3095, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3945","layer":1},{"info":"number node, value=3682","layer":2},{"info":"number node, value=2917","layer":2},{"info":"compute binary expreesion, left_input=3682, right_input=2917, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3682","layer":1},{"info":"compute binary expreesion, left_input=3945, right_input=3682, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1A46⨪↰⇹⪎⋱⫍1541∲⫓⪎⋱⫍18A3⋝⋈⪟⪎⋱⫍1435=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍1A46⨪↰⇹⪎⋱⫍1541∲⫓⪎⋱⫍18A3⋝⋈⪟⪎⋱⫍1435","cot":[{"info":"⪎⋱⫍1A46⨪↰⇹⪎⋱⫍1541=⪎⋱⫍1A46","layer":1},{"info":"⪎⋱⫍18A3⋝⋈⪟⪎⋱⫍1435=⪎⋱⫍18A3","layer":1},{"info":"⪎⋱⫍1A46∲⫓⪎⋱⫍18A3=⪎⋱⫍0","layer":0}]}
{"id":718,"expression_no_base_symbol":"($1470$/$3491$)⪄($1239$↪⪝)","expression":"(⪎⋱⫍891/⪎⋱⫍1787)⪄(⪎⋱⫍744↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":725,"operation_count":3,"complexity_ratio":241.66666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":3491,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1239,"base":13}}},"used_operators":["SUmda5xLS4","XhwjNDsVaA","l07mrZUIn9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍-4AA84A21","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1470","layer":2},{"info":"number node, value=3491","layer":2},{"info":"compute binary expreesion, left_input=1470, right_input=3491, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1239","layer":2},{"info":"compute unary expreesion, input=1239, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=75804498","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=75804498, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-303214081","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍891/⪎⋱⫍1787)⪄(⪎⋱⫍744↪⪝)=⪎⋱⫍-4AA84A21","reverse_text":"⪎⋱⫍-4AA84A21=(⪎⋱⫍891/⪎⋱⫍1787)⪄(⪎⋱⫍744↪⪝)","cot":[{"info":"⪎⋱⫍891/⪎⋱⫍1787=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍744↪⪝=⪎⋱⫍12921843","layer":1},{"info":"⪎⋱⫍0⪄⪎⋱⫍12921843=⪎⋱⫍-4AA84A21","layer":0}]}
{"id":719,"expression_no_base_symbol":"$1739$≭$4420$⫡⨏(↣≠⋷$1770$)","expression":"⪎⋱⫍A3A≭⪎⋱⫍2020⫡⨏(↣≠⋷⪎⋱⫍A62)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1739,"base":13},"right_expr":{"type":"numeric_atoms","value":4420,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1770,"base":13}}},"used_operators":["QMFrweE19q","rxpJgHHUmx","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1739","layer":2},{"info":"number node, value=4420","layer":2},{"info":"compute binary expreesion, left_input=1739, right_input=4420, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1770","layer":2},{"info":"compute unary expreesion, input=1770, 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 = 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":13,"result_base":13,"text":"⪎⋱⫍A3A≭⪎⋱⫍2020⫡⨏(↣≠⋷⪎⋱⫍A62)=NaN","reverse_text":"NaN=⪎⋱⫍A3A≭⪎⋱⫍2020⫡⨏(↣≠⋷⪎⋱⫍A62)","cot":[{"info":"⪎⋱⫍A3A≭⪎⋱⫍2020=NaN","layer":1},{"info":"↣≠⋷⪎⋱⫍A62=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"$6325$∼$2867$↪⪝","expression":"⪎⋱⫍2B57∼⪎⋱⫍13C7↪⪝","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":131,"operation_count":2,"complexity_ratio":65.5,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6325,"base":13},"right_expr":{"type":"numeric_atoms","value":2867,"base":13}}},"used_operators":["l07mrZUIn9","DyGG3AbaNP"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6325","layer":2},{"info":"number node, value=2867","layer":2},{"info":"compute binary expreesion, left_input=6325, right_input=2867, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2B57∼⪎⋱⫍13C7↪⪝=NaN","reverse_text":"NaN=⪎⋱⫍2B57∼⪎⋱⫍13C7↪⪝","cot":[{"info":"⪎⋱⫍2B57∼⪎⋱⫍13C7=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"(↯⪼$2119$)*($6035$/$4854$)","expression":"(↯⪼⪎⋱⫍C70)*(⪎⋱⫍2993/⪎⋱⫍2295)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2119,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6035,"base":13},"right_expr":{"type":"numeric_atoms","value":4854,"base":13}}},"used_operators":["9HNa5Wba9A","8jW3W4yZS5","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2119","layer":2},{"info":"compute unary expreesion, input=2119, 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=6035","layer":2},{"info":"number node, value=4854","layer":2},{"info":"compute binary expreesion, left_input=6035, right_input=4854, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-21","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍C70)*(⪎⋱⫍2993/⪎⋱⫍2295)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=(↯⪼⪎⋱⫍C70)*(⪎⋱⫍2993/⪎⋱⫍2295)","cot":[{"info":"↯⪼⪎⋱⫍C70=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍2993/⪎⋱⫍2295=⪎⋱⫍1","layer":1},{"info":"⪎⋱⫍-18*⪎⋱⫍1=⪎⋱⫍-18","layer":0}]}
{"id":722,"expression_no_base_symbol":"(⩦⩻⨪$4891$)≦≮≮","expression":"(⩦⩻⨪⪎⋱⫍22C3)≦≮≮","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4891,"base":13}}},"used_operators":["D4vGDi5EA2","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-68A9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4891","layer":2},{"info":"compute unary expreesion, input=4891, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4891","layer":1},{"info":"compute unary expreesion, input=4891, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14673","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍22C3)≦≮≮=⪎⋱⫍-68A9","reverse_text":"⪎⋱⫍-68A9=(⩦⩻⨪⪎⋱⫍22C3)≦≮≮","cot":[{"info":"⩦⩻⨪⪎⋱⫍22C3=⪎⋱⫍22C3","layer":1},{"info":"⪎⋱⫍22C3≦≮≮=⪎⋱⫍-68A9","layer":0}]}
{"id":723,"expression_no_base_symbol":"($6255$*$5572$)+⇶⊼$3704$⪘⫢$4929$","expression":"(⪎⋱⫍2B02*⪎⋱⫍26C8)+⇶⊼⪎⋱⫍18BC⪘⫢⪎⋱⫍2322","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5588,"operation_count":3,"complexity_ratio":1862.6666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6255,"base":13},"right_expr":{"type":"numeric_atoms","value":5572,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3704,"base":13},"right_expr":{"type":"numeric_atoms","value":4929,"base":13}}},"used_operators":["TpPTUOHfaN","9HNa5Wba9A","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6255","layer":2},{"info":"number node, value=5572","layer":2},{"info":"compute binary expreesion, left_input=6255, right_input=5572, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=34852860","layer":1},{"info":"number node, value=3704","layer":2},{"info":"number node, value=4929","layer":2},{"info":"compute binary expreesion, left_input=3704, right_input=4929, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7284","layer":1},{"info":"compute binary expreesion, left_input=34852860, right_input=7284, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍2B02*⪎⋱⫍26C8)+⇶⊼⪎⋱⫍18BC⪘⫢⪎⋱⫍2322=NaN","reverse_text":"NaN=(⪎⋱⫍2B02*⪎⋱⫍26C8)+⇶⊼⪎⋱⫍18BC⪘⫢⪎⋱⫍2322","cot":[{"info":"⪎⋱⫍2B02*⪎⋱⫍26C8=⪎⋱⫍72B3AC3","layer":1},{"info":"⪎⋱⫍18BC⪘⫢⪎⋱⫍2322=⪎⋱⫍3414","layer":1},{"info":"⪎⋱⫍72B3AC3+⇶⊼⪎⋱⫍3414=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"$1321$⋝⋈⪟$1893$⨸⪁(⊥$5776$)","expression":"⪎⋱⫍7A8⋝⋈⪟⪎⋱⫍B28⨸⪁(⊥⪎⋱⫍2824)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1321,"base":13},"right_expr":{"type":"numeric_atoms","value":1893,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5776,"base":13}}},"used_operators":["g55IO6H4Gj","2DDjHMKMc0","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1321","layer":2},{"info":"number node, value=1893","layer":2},{"info":"compute binary expreesion, left_input=1321, right_input=1893, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1321","layer":1},{"info":"number node, value=5776","layer":2},{"info":"compute unary expreesion, input=5776, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1321, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍7A8⋝⋈⪟⪎⋱⫍B28⨸⪁(⊥⪎⋱⫍2824)=NaN","reverse_text":"NaN=⪎⋱⫍7A8⋝⋈⪟⪎⋱⫍B28⨸⪁(⊥⪎⋱⫍2824)","cot":[{"info":"⪎⋱⫍7A8⋝⋈⪟⪎⋱⫍B28=⪎⋱⫍7A8","layer":1},{"info":"⊥⪎⋱⫍2824=NaN","layer":1},{"info":"⪎⋱⫍7A8⨸⪁NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"≤/(⨑⩽⪐$2496$)","expression":"≤/(⨑⩽⪐⪎⋱⫍11A0)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2496,"base":13}}},"used_operators":["eLAdDNolq6","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍1303","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":2},{"info":"compute unary expreesion, input=2496, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2223","layer":1},{"info":"compute unary expreesion, input=-2223, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2707","layer":0}],"base":13,"result_base":13,"text":"≤/(⨑⩽⪐⪎⋱⫍11A0)=⪎⋱⫍1303","reverse_text":"⪎⋱⫍1303=≤/(⨑⩽⪐⪎⋱⫍11A0)","cot":[{"info":"⨑⩽⪐⪎⋱⫍11A0=⪎⋱⫍-1020","layer":1},{"info":"≤/⪎⋱⫍-1020=⪎⋱⫍1303","layer":0}]}
{"id":726,"expression_no_base_symbol":"($2104$⊭↱$8388$)⇷($1036$∑⇟⊟$1428$)","expression":"(⪎⋱⫍C5B⊭↱⪎⋱⫍3A83)⇷(⪎⋱⫍619∑⇟⊟⪎⋱⫍85B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":176035,"operation_count":3,"complexity_ratio":58678.333333333336,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2104,"base":13},"right_expr":{"type":"numeric_atoms","value":8388,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":1428,"base":13}}},"used_operators":["mp7IySMOzn","COABgblf1C","U7g4x0WXJJ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"number node, value=8388","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=8388, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12573","layer":1},{"info":"number node, value=1036","layer":2},{"info":"number node, value=1428","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=1428, 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=12573, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C5B⊭↱⪎⋱⫍3A83)⇷(⪎⋱⫍619∑⇟⊟⪎⋱⫍85B)=NaN","reverse_text":"NaN=(⪎⋱⫍C5B⊭↱⪎⋱⫍3A83)⇷(⪎⋱⫍619∑⇟⊟⪎⋱⫍85B)","cot":[{"info":"⪎⋱⫍C5B⊭↱⪎⋱⫍3A83=⪎⋱⫍5952","layer":1},{"info":"⪎⋱⫍619∑⇟⊟⪎⋱⫍85B=NaN","layer":1},{"info":"⪎⋱⫍5952⇷NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"$2604$≎⊠⪸$1541$⨳⩥⨓$6565$⩷∴$1586$","expression":"⪎⋱⫍1254≎⊠⪸⪎⋱⫍917⨳⩥⨓⪎⋱⫍2CB0⩷∴⪎⋱⫍950","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":279,"operation_count":3,"complexity_ratio":93.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2604,"base":13},"right_expr":{"type":"numeric_atoms","value":1541,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6565,"base":13},"right_expr":{"type":"numeric_atoms","value":1586,"base":13}}},"used_operators":["nCS4ZIUYfx","bJkvcejdHO","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"⪎⋱⫍-1A332A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2604","layer":2},{"info":"number node, value=1541","layer":2},{"info":"compute binary expreesion, left_input=2604, right_input=1541, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=673963","layer":1},{"info":"number node, value=6565","layer":2},{"info":"number node, value=1586","layer":2},{"info":"compute binary expreesion, left_input=6565, right_input=1586, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9926","layer":1},{"info":"compute binary expreesion, left_input=673963, right_input=9926, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-664037","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1254≎⊠⪸⪎⋱⫍917⨳⩥⨓⪎⋱⫍2CB0⩷∴⪎⋱⫍950=⪎⋱⫍-1A332A","reverse_text":"⪎⋱⫍-1A332A=⪎⋱⫍1254≎⊠⪸⪎⋱⫍917⨳⩥⨓⪎⋱⫍2CB0⩷∴⪎⋱⫍950","cot":[{"info":"⪎⋱⫍1254≎⊠⪸⪎⋱⫍917=⪎⋱⫍1A79C4","layer":1},{"info":"⪎⋱⫍2CB0⩷∴⪎⋱⫍950=⪎⋱⫍4697","layer":1},{"info":"⪎⋱⫍1A79C4⨳⩥⨓⪎⋱⫍4697=⪎⋱⫍-1A332A","layer":0}]}
{"id":728,"expression_no_base_symbol":"$1097$⨎$6115$+$1334$⫸⊐$4471$","expression":"⪎⋱⫍665⨎⪎⋱⫍2A25+⪎⋱⫍7B8⫸⊐⪎⋱⫍205C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1097,"base":13},"right_expr":{"type":"numeric_atoms","value":6115,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1334,"base":13},"right_expr":{"type":"numeric_atoms","value":4471,"base":13}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","mqXw5SEYmG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍AB36","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1097","layer":2},{"info":"number node, value=6115","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=6115, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6115","layer":1},{"info":"number node, value=1334","layer":2},{"info":"number node, value=4471","layer":2},{"info":"compute binary expreesion, left_input=1334, right_input=4471, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17759","layer":1},{"info":"compute binary expreesion, left_input=6115, right_input=17759, op_id = W4YGzv6Whe binary_op_definition= 'None', output=23874","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍665⨎⪎⋱⫍2A25+⪎⋱⫍7B8⫸⊐⪎⋱⫍205C=⪎⋱⫍AB36","reverse_text":"⪎⋱⫍AB36=⪎⋱⫍665⨎⪎⋱⫍2A25+⪎⋱⫍7B8⫸⊐⪎⋱⫍205C","cot":[{"info":"⪎⋱⫍665⨎⪎⋱⫍2A25=⪎⋱⫍2A25","layer":1},{"info":"⪎⋱⫍7B8⫸⊐⪎⋱⫍205C=⪎⋱⫍8111","layer":1},{"info":"⪎⋱⫍2A25+⪎⋱⫍8111=⪎⋱⫍AB36","layer":0}]}
{"id":729,"expression_no_base_symbol":"$9479$≧⫂∧$4932$⊭↱$4919$∑⇟⊟$3812$","expression":"⪎⋱⫍4412≧⫂∧⪎⋱⫍2325⊭↱⪎⋱⫍2315∑⇟⊟⪎⋱⫍1973","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9479,"base":13},"right_expr":{"type":"numeric_atoms","value":4932,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4919,"base":13},"right_expr":{"type":"numeric_atoms","value":3812,"base":13}}},"used_operators":["COABgblf1C","Ph9nP6C5qx","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9479","layer":2},{"info":"number node, value=4932","layer":2},{"info":"compute binary expreesion, left_input=9479, right_input=4932, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4459","layer":1},{"info":"number node, value=4919","layer":2},{"info":"number node, value=3812","layer":2},{"info":"compute binary expreesion, left_input=4919, right_input=3812, 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=4459, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍4412≧⫂∧⪎⋱⫍2325⊭↱⪎⋱⫍2315∑⇟⊟⪎⋱⫍1973=NaN","reverse_text":"NaN=⪎⋱⫍4412≧⫂∧⪎⋱⫍2325⊭↱⪎⋱⫍2315∑⇟⊟⪎⋱⫍1973","cot":[{"info":"⪎⋱⫍4412≧⫂∧⪎⋱⫍2325=⪎⋱⫍2050","layer":1},{"info":"⪎⋱⫍2315∑⇟⊟⪎⋱⫍1973=NaN","layer":1},{"info":"⪎⋱⫍2050⊭↱NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"($1010$⨸⪁$1798$)⫥∨⫟(⫛⫱⨽$1603$)","expression":"(⪎⋱⫍5C9⨸⪁⪎⋱⫍A84)⫥∨⫟(⫛⫱⨽⪎⋱⫍964)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1579,"operation_count":3,"complexity_ratio":526.3333333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":1798,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1603,"base":13}}},"used_operators":["KYD54nUTWz","g55IO6H4Gj","DlLNRPXxWL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=1798, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5616","layer":1},{"info":"number node, value=1603","layer":2},{"info":"compute unary expreesion, input=1603, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=5616, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5C9⨸⪁⪎⋱⫍A84)⫥∨⫟(⫛⫱⨽⪎⋱⫍964)=NaN","reverse_text":"NaN=(⪎⋱⫍5C9⨸⪁⪎⋱⫍A84)⫥∨⫟(⫛⫱⨽⪎⋱⫍964)","cot":[{"info":"⪎⋱⫍5C9⨸⪁⪎⋱⫍A84=⪎⋱⫍2730","layer":1},{"info":"⫛⫱⨽⪎⋱⫍964=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2730⫥∨⫟⪎⋱⫍0=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"(-$9027$)⋷$3050$≭$1961$","expression":"(-⪎⋱⫍4155)⋷⪎⋱⫍1508≭⪎⋱⫍B7B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":9027,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3050,"base":13},"right_expr":{"type":"numeric_atoms","value":1961,"base":13}}},"used_operators":["23Mk6UjR3U","t8gj7n24qd","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"⪎⋱⫍82AA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9027","layer":2},{"info":"compute unary expreesion, input=9027, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-9027","layer":1},{"info":"number node, value=3050","layer":2},{"info":"number node, value=1961","layer":2},{"info":"compute binary expreesion, left_input=3050, right_input=1961, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-9027, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=18054","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍4155)⋷⪎⋱⫍1508≭⪎⋱⫍B7B=⪎⋱⫍82AA","reverse_text":"⪎⋱⫍82AA=(-⪎⋱⫍4155)⋷⪎⋱⫍1508≭⪎⋱⫍B7B","cot":[{"info":"-⪎⋱⫍4155=⪎⋱⫍-4155","layer":1},{"info":"⪎⋱⫍1508≭⪎⋱⫍B7B=NaN","layer":1},{"info":"⪎⋱⫍-4155⋷NaN=⪎⋱⫍82AA","layer":0}]}
{"id":732,"expression_no_base_symbol":"$7903$+⇶⊼$1286$⪄$3705$+⇶⊼$1796$","expression":"⪎⋱⫍379C+⇶⊼⪎⋱⫍77C⪄⪎⋱⫍18C0+⇶⊼⪎⋱⫍A82","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7903,"base":13},"right_expr":{"type":"numeric_atoms","value":1286,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3705,"base":13},"right_expr":{"type":"numeric_atoms","value":1796,"base":13}}},"used_operators":["SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7903","layer":2},{"info":"number node, value=1286","layer":2},{"info":"compute binary expreesion, left_input=7903, right_input=1286, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3705","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=3705, right_input=1796, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"⪎⋱⫍379C+⇶⊼⪎⋱⫍77C⪄⪎⋱⫍18C0+⇶⊼⪎⋱⫍A82=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=⪎⋱⫍379C+⇶⊼⪎⋱⫍77C⪄⪎⋱⫍18C0+⇶⊼⪎⋱⫍A82","cot":[{"info":"⪎⋱⫍379C+⇶⊼⪎⋱⫍77C=NaN","layer":1},{"info":"⪎⋱⫍18C0+⇶⊼⪎⋱⫍A82=NaN","layer":1},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":0}]}
{"id":733,"expression_no_base_symbol":"(⨈⫕$1507$)⪘⫢$7704$⨪↰⇹$5388$","expression":"(⨈⫕⪎⋱⫍8BC)⪘⫢⪎⋱⫍3678⨪↰⇹⪎⋱⫍25B6","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8108,"operation_count":3,"complexity_ratio":2702.6666666666665,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1507,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7704,"base":13},"right_expr":{"type":"numeric_atoms","value":5388,"base":13}}},"used_operators":["oacrs7FA3X","megm06wKyl","tmPS8pqC7x"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK"],"result":"⪎⋱⫍-745","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1507","layer":2},{"info":"compute unary expreesion, input=1507, 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=7704","layer":2},{"info":"number node, value=5388","layer":2},{"info":"compute binary expreesion, left_input=7704, right_input=5388, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7704","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=7704, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1240","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍8BC)⪘⫢⪎⋱⫍3678⨪↰⇹⪎⋱⫍25B6=⪎⋱⫍-745","reverse_text":"⪎⋱⫍-745=(⨈⫕⪎⋱⫍8BC)⪘⫢⪎⋱⫍3678⨪↰⇹⪎⋱⫍25B6","cot":[{"info":"⨈⫕⪎⋱⫍8BC=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍3678⨪↰⇹⪎⋱⫍25B6=⪎⋱⫍3678","layer":1},{"info":"⪎⋱⫍-18⪘⫢⪎⋱⫍3678=⪎⋱⫍-745","layer":0}]}
{"id":734,"expression_no_base_symbol":"⪝⪂⫅($3980$⫩⊇)","expression":"⪝⪂⫅(⪎⋱⫍1A72⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":152,"operation_count":2,"complexity_ratio":76.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3980,"base":13}}},"used_operators":["XTarYq4gQB","BjRHVeLaeN"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍173649","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3980","layer":2},{"info":"compute unary expreesion, input=3980, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3938","layer":1},{"info":"compute unary expreesion, input=-3938, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=578886","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⪎⋱⫍1A72⫩⊇)=⪎⋱⫍173649","reverse_text":"⪎⋱⫍173649=⪝⪂⫅(⪎⋱⫍1A72⫩⊇)","cot":[{"info":"⪎⋱⫍1A72⫩⊇=⪎⋱⫍-1A3C","layer":1},{"info":"⪝⪂⫅⪎⋱⫍-1A3C=⪎⋱⫍173649","layer":0}]}
{"id":735,"expression_no_base_symbol":"$2620$∼$4475$⋥≓≎(≦∁$3429$)","expression":"⪎⋱⫍1267∼⪎⋱⫍2063⋥≓≎(≦∁⪎⋱⫍173A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2620,"base":13},"right_expr":{"type":"numeric_atoms","value":4475,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3429,"base":13}}},"used_operators":["Qy55tPpLXF","DyGG3AbaNP","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2620","layer":2},{"info":"number node, value=4475","layer":2},{"info":"compute binary expreesion, left_input=2620, right_input=4475, 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=3429","layer":2},{"info":"compute unary expreesion, input=3429, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3429","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3429, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1267∼⪎⋱⫍2063⋥≓≎(≦∁⪎⋱⫍173A)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍1267∼⪎⋱⫍2063⋥≓≎(≦∁⪎⋱⫍173A)","cot":[{"info":"⪎⋱⫍1267∼⪎⋱⫍2063=NaN","layer":1},{"info":"≦∁⪎⋱⫍173A=⪎⋱⫍173A","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍173A=⪎⋱⫍52","layer":0}]}
{"id":736,"expression_no_base_symbol":"(-$2900$)⪮%⊝($2285$⊪)","expression":"(-⪎⋱⫍1421)⪮%⊝(⪎⋱⫍106A⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2900,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2285,"base":13}}},"used_operators":["IWmyXbctLI","t8gj7n24qd","zVYPLywUTj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2900","layer":2},{"info":"compute unary expreesion, input=2900, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2900","layer":1},{"info":"number node, value=2285","layer":2},{"info":"compute unary expreesion, input=2285, 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=-2900, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍1421)⪮%⊝(⪎⋱⫍106A⊪)=NaN","reverse_text":"NaN=(-⪎⋱⫍1421)⪮%⊝(⪎⋱⫍106A⊪)","cot":[{"info":"-⪎⋱⫍1421=⪎⋱⫍-1421","layer":1},{"info":"⪎⋱⫍106A⊪=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-1421⪮%⊝⪎⋱⫍0=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"(⨵≀≌$1835$)⪮%⊝($8523$↺$4120$)","expression":"(⨵≀≌⪎⋱⫍AB2)⪮%⊝(⪎⋱⫍3B58↺⪎⋱⫍1B4C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1835,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8523,"base":13},"right_expr":{"type":"numeric_atoms","value":4120,"base":13}}},"used_operators":["IWmyXbctLI","srAu1WTS94","7j4O788W3g"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-4B38","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1835","layer":2},{"info":"compute unary expreesion, input=1835, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5505","layer":1},{"info":"number node, value=8523","layer":2},{"info":"number node, value=4120","layer":2},{"info":"compute binary expreesion, left_input=8523, right_input=4120, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4120","layer":1},{"info":"compute binary expreesion, left_input=-5505, right_input=4120, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-10694","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍AB2)⪮%⊝(⪎⋱⫍3B58↺⪎⋱⫍1B4C)=⪎⋱⫍-4B38","reverse_text":"⪎⋱⫍-4B38=(⨵≀≌⪎⋱⫍AB2)⪮%⊝(⪎⋱⫍3B58↺⪎⋱⫍1B4C)","cot":[{"info":"⨵≀≌⪎⋱⫍AB2=⪎⋱⫍-2676","layer":1},{"info":"⪎⋱⫍3B58↺⪎⋱⫍1B4C=⪎⋱⫍1B4C","layer":1},{"info":"⪎⋱⫍-2676⪮%⊝⪎⋱⫍1B4C=⪎⋱⫍-4B38","layer":0}]}
{"id":738,"expression_no_base_symbol":"$3472$⇷$2239$⪒$7628$⨽$9168$","expression":"⪎⋱⫍1771⇷⪎⋱⫍1033⪒⪎⋱⫍361A⨽⪎⋱⫍4233","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56254,"operation_count":3,"complexity_ratio":18751.333333333332,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3472,"base":13},"right_expr":{"type":"numeric_atoms","value":2239,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7628,"base":13},"right_expr":{"type":"numeric_atoms","value":9168,"base":13}}},"used_operators":["f6k1SAg4EE","mp7IySMOzn","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍2A2273B3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3472","layer":2},{"info":"number node, value=2239","layer":2},{"info":"compute binary expreesion, left_input=3472, right_input=2239, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4478","layer":1},{"info":"number node, value=7628","layer":2},{"info":"number node, value=9168","layer":2},{"info":"compute binary expreesion, left_input=7628, right_input=9168, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-174585342","layer":1},{"info":"compute binary expreesion, left_input=4478, right_input=-174585342, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=174580864","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1771⇷⪎⋱⫍1033⪒⪎⋱⫍361A⨽⪎⋱⫍4233=⪎⋱⫍2A2273B3","reverse_text":"⪎⋱⫍2A2273B3=⪎⋱⫍1771⇷⪎⋱⫍1033⪒⪎⋱⫍361A⨽⪎⋱⫍4233","cot":[{"info":"⪎⋱⫍1771⇷⪎⋱⫍1033=⪎⋱⫍2066","layer":1},{"info":"⪎⋱⫍361A⨽⪎⋱⫍4233=⪎⋱⫍-2A229449","layer":1},{"info":"⪎⋱⫍2066⪒⪎⋱⫍-2A229449=⪎⋱⫍2A2273B3","layer":0}]}
{"id":739,"expression_no_base_symbol":"$1548$⫥∨⫟$5605$⨎$3081$≎⊠⪸$6080$","expression":"⪎⋱⫍921⫥∨⫟⪎⋱⫍2722⨎⪎⋱⫍1530≎⊠⪸⪎⋱⫍29C9","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1548,"base":13},"right_expr":{"type":"numeric_atoms","value":5605,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3081,"base":13},"right_expr":{"type":"numeric_atoms","value":6080,"base":13}}},"used_operators":["rJVOvQCfKK","KYD54nUTWz","bJkvcejdHO"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍21BCC8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1548","layer":2},{"info":"number node, value=5605","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=5605, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3081","layer":2},{"info":"number node, value=6080","layer":2},{"info":"compute binary expreesion, left_input=3081, right_input=6080, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=797506","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=797506, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=797506","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍921⫥∨⫟⪎⋱⫍2722⨎⪎⋱⫍1530≎⊠⪸⪎⋱⫍29C9=⪎⋱⫍21BCC8","reverse_text":"⪎⋱⫍21BCC8=⪎⋱⫍921⫥∨⫟⪎⋱⫍2722⨎⪎⋱⫍1530≎⊠⪸⪎⋱⫍29C9","cot":[{"info":"⪎⋱⫍921⫥∨⫟⪎⋱⫍2722=NaN","layer":1},{"info":"⪎⋱⫍1530≎⊠⪸⪎⋱⫍29C9=⪎⋱⫍21BCC8","layer":1},{"info":"NaN⨎⪎⋱⫍21BCC8=⪎⋱⫍21BCC8","layer":0}]}
{"id":740,"expression_no_base_symbol":"$1018$≧⫂∧$3751$⨐⩸⫘$1709$⪮%⊝$5214$","expression":"⪎⋱⫍604≧⫂∧⪎⋱⫍1927⨐⩸⫘⪎⋱⫍A16⪮%⊝⪎⋱⫍24B1","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1018,"base":13},"right_expr":{"type":"numeric_atoms","value":3751,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1709,"base":13},"right_expr":{"type":"numeric_atoms","value":5214,"base":13}}},"used_operators":["fu6greOZ01","Ph9nP6C5qx","IWmyXbctLI"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1018","layer":2},{"info":"number node, value=3751","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=3751, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3278","layer":1},{"info":"number node, value=1709","layer":2},{"info":"number node, value=5214","layer":2},{"info":"compute binary expreesion, left_input=1709, right_input=5214, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3734","layer":1},{"info":"compute binary expreesion, left_input=3278, right_input=3734, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍604≧⫂∧⪎⋱⫍1927⨐⩸⫘⪎⋱⫍A16⪮%⊝⪎⋱⫍24B1=NaN","reverse_text":"NaN=⪎⋱⫍604≧⫂∧⪎⋱⫍1927⨐⩸⫘⪎⋱⫍A16⪮%⊝⪎⋱⫍24B1","cot":[{"info":"⪎⋱⫍604≧⫂∧⪎⋱⫍1927=⪎⋱⫍1652","layer":1},{"info":"⪎⋱⫍A16⪮%⊝⪎⋱⫍24B1=⪎⋱⫍1913","layer":1},{"info":"⪎⋱⫍1652⨐⩸⫘⪎⋱⫍1913=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"($3454$-$2424$)⪄(↣≠⋷$1124$)","expression":"(⪎⋱⫍1759-⪎⋱⫍1146)⪄(↣≠⋷⪎⋱⫍686)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3454,"base":13},"right_expr":{"type":"numeric_atoms","value":2424,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1124,"base":13}}},"used_operators":["SUmda5xLS4","rysDP5nf3Z","Asc51vEJeQ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3454","layer":2},{"info":"number node, value=2424","layer":2},{"info":"compute binary expreesion, left_input=3454, right_input=2424, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1030","layer":1},{"info":"number node, value=1124","layer":2},{"info":"compute unary expreesion, input=1124, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1030, 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":13,"result_base":13,"text":"(⪎⋱⫍1759-⪎⋱⫍1146)⪄(↣≠⋷⪎⋱⫍686)=NaN","reverse_text":"NaN=(⪎⋱⫍1759-⪎⋱⫍1146)⪄(↣≠⋷⪎⋱⫍686)","cot":[{"info":"⪎⋱⫍1759-⪎⋱⫍1146=⪎⋱⫍613","layer":1},{"info":"↣≠⋷⪎⋱⫍686=NaN","layer":1},{"info":"⪎⋱⫍613⪄NaN=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"($5828$⨪↰⇹$7900$)⪛($1043$⩚⊴⇥$1668$)","expression":"(⪎⋱⫍2864⨪↰⇹⪎⋱⫍3799)⪛(⪎⋱⫍623⩚⊴⇥⪎⋱⫍9B4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5836,"operation_count":3,"complexity_ratio":1945.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5828,"base":13},"right_expr":{"type":"numeric_atoms","value":7900,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1043,"base":13},"right_expr":{"type":"numeric_atoms","value":1668,"base":13}}},"used_operators":["uFcxV4UQCh","tmPS8pqC7x","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-12A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5828","layer":2},{"info":"number node, value=7900","layer":2},{"info":"compute binary expreesion, left_input=5828, right_input=7900, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5828","layer":1},{"info":"number node, value=1043","layer":2},{"info":"number node, value=1668","layer":2},{"info":"compute binary expreesion, left_input=1043, right_input=1668, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2832","layer":1},{"info":"compute binary expreesion, left_input=5828, right_input=-2832, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2668","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2864⨪↰⇹⪎⋱⫍3799)⪛(⪎⋱⫍623⩚⊴⇥⪎⋱⫍9B4)=⪎⋱⫍-12A3","reverse_text":"⪎⋱⫍-12A3=(⪎⋱⫍2864⨪↰⇹⪎⋱⫍3799)⪛(⪎⋱⫍623⩚⊴⇥⪎⋱⫍9B4)","cot":[{"info":"⪎⋱⫍2864⨪↰⇹⪎⋱⫍3799=⪎⋱⫍2864","layer":1},{"info":"⪎⋱⫍623⩚⊴⇥⪎⋱⫍9B4=⪎⋱⫍-139B","layer":1},{"info":"⪎⋱⫍2864⪛⪎⋱⫍-139B=⪎⋱⫍-12A3","layer":0}]}
{"id":743,"expression_no_base_symbol":"(⨰⫟⨤$4060$)⇋≉","expression":"(⨰⫟⨤⪎⋱⫍1B04)⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15403,"operation_count":2,"complexity_ratio":7701.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4060,"base":13}}},"used_operators":["XIabStNQrY","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4060","layer":2},{"info":"compute unary expreesion, input=4060, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍1B04)⇋≉=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍1B04)⇋≉","cot":[{"info":"⨰⫟⨤⪎⋱⫍1B04=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"($9021$∲⫓$2309$)≭$2213$≹⇙⪍$2620$","expression":"(⪎⋱⫍414C∲⫓⪎⋱⫍1088)≭⪎⋱⫍1013≹⇙⪍⪎⋱⫍1267","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9021,"base":13},"right_expr":{"type":"numeric_atoms","value":2309,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2213,"base":13},"right_expr":{"type":"numeric_atoms","value":2620,"base":13}}},"used_operators":["rxpJgHHUmx","i8ToyICDmI","AHs5Up7iyr"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9021","layer":2},{"info":"number node, value=2309","layer":2},{"info":"compute binary expreesion, left_input=9021, right_input=2309, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2213","layer":2},{"info":"number node, value=2620","layer":2},{"info":"compute binary expreesion, left_input=2213, right_input=2620, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍414C∲⫓⪎⋱⫍1088)≭⪎⋱⫍1013≹⇙⪍⪎⋱⫍1267=NaN","reverse_text":"NaN=(⪎⋱⫍414C∲⫓⪎⋱⫍1088)≭⪎⋱⫍1013≹⇙⪍⪎⋱⫍1267","cot":[{"info":"⪎⋱⫍414C∲⫓⪎⋱⫍1088=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1013≹⇙⪍⪎⋱⫍1267=NaN","layer":1},{"info":"⪎⋱⫍0≭NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"($2379$⨳⩥⨓$1481$)⨎($3562$∲⫓$1185$)","expression":"(⪎⋱⫍1110⨳⩥⨓⪎⋱⫍89C)⨎(⪎⋱⫍1810∲⫓⪎⋱⫍702)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2379,"base":13},"right_expr":{"type":"numeric_atoms","value":1481,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3562,"base":13},"right_expr":{"type":"numeric_atoms","value":1185,"base":13}}},"used_operators":["rJVOvQCfKK","nCS4ZIUYfx","i8ToyICDmI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2379","layer":2},{"info":"number node, value=1481","layer":2},{"info":"compute binary expreesion, left_input=2379, right_input=1481, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-898","layer":1},{"info":"number node, value=3562","layer":2},{"info":"number node, value=1185","layer":2},{"info":"compute binary expreesion, left_input=3562, right_input=1185, 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=-898, 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":13,"result_base":13,"text":"(⪎⋱⫍1110⨳⩥⨓⪎⋱⫍89C)⨎(⪎⋱⫍1810∲⫓⪎⋱⫍702)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1110⨳⩥⨓⪎⋱⫍89C)⨎(⪎⋱⫍1810∲⫓⪎⋱⫍702)","cot":[{"info":"⪎⋱⫍1110⨳⩥⨓⪎⋱⫍89C=⪎⋱⫍-541","layer":1},{"info":"⪎⋱⫍1810∲⫓⪎⋱⫍702=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-541⨎⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":746,"expression_no_base_symbol":"⇁⨣⪵($2477$⇼⇔∾$3527$)","expression":"⇁⨣⪵(⪎⋱⫍1187⇼⇔∾⪎⋱⫍17B4)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2477,"base":13},"right_expr":{"type":"numeric_atoms","value":3527,"base":13}}},"used_operators":["inkyxCbjAn","tifHPKVTfV"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2477","layer":2},{"info":"number node, value=3527","layer":2},{"info":"compute binary expreesion, left_input=2477, right_input=3527, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1050","layer":1},{"info":"compute unary expreesion, input=1050, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍1187⇼⇔∾⪎⋱⫍17B4)=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍1187⇼⇔∾⪎⋱⫍17B4)","cot":[{"info":"⪎⋱⫍1187⇼⇔∾⪎⋱⫍17B4=⪎⋱⫍62A","layer":1},{"info":"⇁⨣⪵⪎⋱⫍62A=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"($7053$⫥∨⫟$5498$)⨓($1168$⨐⩸⫘$3877$)","expression":"(⪎⋱⫍3297⫥∨⫟⪎⋱⫍266C)⨓(⪎⋱⫍6BB⨐⩸⫘⪎⋱⫍19C3)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7053,"base":13},"right_expr":{"type":"numeric_atoms","value":5498,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1168,"base":13},"right_expr":{"type":"numeric_atoms","value":3877,"base":13}}},"used_operators":["3ViojmjbAp","KYD54nUTWz","fu6greOZ01"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7053","layer":2},{"info":"number node, value=5498","layer":2},{"info":"compute binary expreesion, left_input=7053, right_input=5498, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1168","layer":2},{"info":"number node, value=3877","layer":2},{"info":"compute binary expreesion, left_input=1168, right_input=3877, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3297⫥∨⫟⪎⋱⫍266C)⨓(⪎⋱⫍6BB⨐⩸⫘⪎⋱⫍19C3)=NaN","reverse_text":"NaN=(⪎⋱⫍3297⫥∨⫟⪎⋱⫍266C)⨓(⪎⋱⫍6BB⨐⩸⫘⪎⋱⫍19C3)","cot":[{"info":"⪎⋱⫍3297⫥∨⫟⪎⋱⫍266C=NaN","layer":1},{"info":"⪎⋱⫍6BB⨐⩸⫘⪎⋱⫍19C3=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"⨵≀≌$1495$⋳⪒$1817$","expression":"⨵≀≌⪎⋱⫍8B0⋳⪒⪎⋱⫍A9A","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1495,"base":13},"right_expr":{"type":"numeric_atoms","value":1817,"base":13}}},"used_operators":["srAu1WTS94","12rbrZMWeM"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-1296","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1495","layer":2},{"info":"number node, value=1817","layer":2},{"info":"compute binary expreesion, left_input=1495, right_input=1817, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=886","layer":1},{"info":"compute unary expreesion, input=886, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-2658","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌⪎⋱⫍8B0⋳⪒⪎⋱⫍A9A=⪎⋱⫍-1296","reverse_text":"⪎⋱⫍-1296=⨵≀≌⪎⋱⫍8B0⋳⪒⪎⋱⫍A9A","cot":[{"info":"⪎⋱⫍8B0⋳⪒⪎⋱⫍A9A=⪎⋱⫍532","layer":1},{"info":"⨵≀≌⪎⋱⫍532=⪎⋱⫍-1296","layer":0}]}
{"id":749,"expression_no_base_symbol":"($1160$⇼⇔∾$1365$)+⇶⊼$3386$≧⫂∧$2145$","expression":"(⪎⋱⫍6B3⇼⇔∾⪎⋱⫍810)+⇶⊼⪎⋱⫍1706≧⫂∧⪎⋱⫍C90","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1160,"base":13},"right_expr":{"type":"numeric_atoms","value":1365,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3386,"base":13},"right_expr":{"type":"numeric_atoms","value":2145,"base":13}}},"used_operators":["TpPTUOHfaN","tifHPKVTfV","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1160","layer":2},{"info":"number node, value=1365","layer":2},{"info":"compute binary expreesion, left_input=1160, right_input=1365, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=205","layer":1},{"info":"number node, value=3386","layer":2},{"info":"number node, value=2145","layer":2},{"info":"compute binary expreesion, left_input=3386, right_input=2145, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1672","layer":1},{"info":"compute binary expreesion, left_input=205, right_input=1672, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍6B3⇼⇔∾⪎⋱⫍810)+⇶⊼⪎⋱⫍1706≧⫂∧⪎⋱⫍C90=NaN","reverse_text":"NaN=(⪎⋱⫍6B3⇼⇔∾⪎⋱⫍810)+⇶⊼⪎⋱⫍1706≧⫂∧⪎⋱⫍C90","cot":[{"info":"⪎⋱⫍6B3⇼⇔∾⪎⋱⫍810=⪎⋱⫍12A","layer":1},{"info":"⪎⋱⫍1706≧⫂∧⪎⋱⫍C90=⪎⋱⫍9B8","layer":1},{"info":"⪎⋱⫍12A+⇶⊼⪎⋱⫍9B8=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"⊥($6776$⊉≛↸$1694$)","expression":"⊥(⪎⋱⫍3113⊉≛↸⪎⋱⫍A04)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6776,"base":13},"right_expr":{"type":"numeric_atoms","value":1694,"base":13}}},"used_operators":["Q3PJZHRvZv","DZ8iAZOCBD"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6776","layer":2},{"info":"number node, value=1694","layer":2},{"info":"compute binary expreesion, left_input=6776, right_input=1694, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13552","layer":1},{"info":"compute unary expreesion, input=13552, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥(⪎⋱⫍3113⊉≛↸⪎⋱⫍A04)=NaN","reverse_text":"NaN=⊥(⪎⋱⫍3113⊉≛↸⪎⋱⫍A04)","cot":[{"info":"⪎⋱⫍3113⊉≛↸⪎⋱⫍A04=⪎⋱⫍6226","layer":1},{"info":"⊥⪎⋱⫍6226=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"⋗⩬⋾($2364$⪐)","expression":"⋗⩬⋾(⪎⋱⫍10CB⪐)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2364,"base":13}}},"used_operators":["DpFCA1CohY","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-65C1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2364","layer":2},{"info":"compute unary expreesion, input=2364, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4728","layer":1},{"info":"compute unary expreesion, input=4728, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14184","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(⪎⋱⫍10CB⪐)=⪎⋱⫍-65C1","reverse_text":"⪎⋱⫍-65C1=⋗⩬⋾(⪎⋱⫍10CB⪐)","cot":[{"info":"⪎⋱⫍10CB⪐=⪎⋱⫍21C9","layer":1},{"info":"⋗⩬⋾⪎⋱⫍21C9=⪎⋱⫍-65C1","layer":0}]}
{"id":752,"expression_no_base_symbol":"⨞⊢$3875$+⇶⊼$4623$","expression":"⨞⊢⪎⋱⫍19C1+⇶⊼⪎⋱⫍2148","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3875,"base":13},"right_expr":{"type":"numeric_atoms","value":4623,"base":13}}},"used_operators":["xUOZtlo3hN","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3875","layer":2},{"info":"number node, value=4623","layer":2},{"info":"compute binary expreesion, left_input=3875, right_input=4623, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨞⊢⪎⋱⫍19C1+⇶⊼⪎⋱⫍2148=NaN","reverse_text":"NaN=⨞⊢⪎⋱⫍19C1+⇶⊼⪎⋱⫍2148","cot":[{"info":"⪎⋱⫍19C1+⇶⊼⪎⋱⫍2148=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"($5533$⊉≛↸$8159$)∑⇟⊟$3193$⪮%⊝$9684$","expression":"(⪎⋱⫍2698⊉≛↸⪎⋱⫍3938)∑⇟⊟⪎⋱⫍15B8⪮%⊝⪎⋱⫍453C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5533,"base":13},"right_expr":{"type":"numeric_atoms","value":8159,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3193,"base":13},"right_expr":{"type":"numeric_atoms","value":9684,"base":13}}},"used_operators":["U7g4x0WXJJ","DZ8iAZOCBD","IWmyXbctLI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5533","layer":2},{"info":"number node, value=8159","layer":2},{"info":"compute binary expreesion, left_input=5533, right_input=8159, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11066","layer":1},{"info":"number node, value=3193","layer":2},{"info":"number node, value=9684","layer":2},{"info":"compute binary expreesion, left_input=3193, right_input=9684, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6702","layer":1},{"info":"compute binary expreesion, left_input=11066, right_input=6702, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2698⊉≛↸⪎⋱⫍3938)∑⇟⊟⪎⋱⫍15B8⪮%⊝⪎⋱⫍453C=NaN","reverse_text":"NaN=(⪎⋱⫍2698⊉≛↸⪎⋱⫍3938)∑⇟⊟⪎⋱⫍15B8⪮%⊝⪎⋱⫍453C","cot":[{"info":"⪎⋱⫍2698⊉≛↸⪎⋱⫍3938=⪎⋱⫍5063","layer":1},{"info":"⪎⋱⫍15B8⪮%⊝⪎⋱⫍453C=⪎⋱⫍3087","layer":1},{"info":"⪎⋱⫍5063∑⇟⊟⪎⋱⫍3087=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"(⫛⫱⨽$7515$)⩤","expression":"(⫛⫱⨽⪎⋱⫍3561)⩤","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1423,"operation_count":2,"complexity_ratio":711.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7515,"base":13}}},"used_operators":["Z2TMIBDE3Q","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7515","layer":2},{"info":"compute unary expreesion, input=7515, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍3561)⩤=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫛⫱⨽⪎⋱⫍3561)⩤","cot":[{"info":"⫛⫱⨽⪎⋱⫍3561=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⩤=⪎⋱⫍0","layer":0}]}
{"id":755,"expression_no_base_symbol":"⇁⨣⪵($2486$%$3045$)","expression":"⇁⨣⪵(⪎⋱⫍1193%⪎⋱⫍1503)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2486,"base":13},"right_expr":{"type":"numeric_atoms","value":3045,"base":13}}},"used_operators":["inkyxCbjAn","k8jYdgA6NY"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2486","layer":2},{"info":"number node, value=3045","layer":2},{"info":"compute binary expreesion, left_input=2486, right_input=3045, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2486","layer":1},{"info":"compute unary expreesion, input=2486, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍1193%⪎⋱⫍1503)=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍1193%⪎⋱⫍1503)","cot":[{"info":"⪎⋱⫍1193%⪎⋱⫍1503=⪎⋱⫍1193","layer":1},{"info":"⇁⨣⪵⪎⋱⫍1193=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"($7289$⨳⩥⨓$3378$)≭(⨵≀≌$9574$)","expression":"(⪎⋱⫍3419⨳⩥⨓⪎⋱⫍16CB)≭(⨵≀≌⪎⋱⫍4486)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7289,"base":13},"right_expr":{"type":"numeric_atoms","value":3378,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":9574,"base":13}}},"used_operators":["rxpJgHHUmx","nCS4ZIUYfx","srAu1WTS94"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7289","layer":2},{"info":"number node, value=3378","layer":2},{"info":"compute binary expreesion, left_input=7289, right_input=3378, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3911","layer":1},{"info":"number node, value=9574","layer":2},{"info":"compute unary expreesion, input=9574, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-28722","layer":1},{"info":"compute binary expreesion, left_input=-3911, right_input=-28722, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍3419⨳⩥⨓⪎⋱⫍16CB)≭(⨵≀≌⪎⋱⫍4486)=NaN","reverse_text":"NaN=(⪎⋱⫍3419⨳⩥⨓⪎⋱⫍16CB)≭(⨵≀≌⪎⋱⫍4486)","cot":[{"info":"⪎⋱⫍3419⨳⩥⨓⪎⋱⫍16CB=⪎⋱⫍-1A1B","layer":1},{"info":"⨵≀≌⪎⋱⫍4486=⪎⋱⫍-100C5","layer":1},{"info":"⪎⋱⫍-1A1B≭⪎⋱⫍-100C5=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"(↽≂$2590$)⨸⪁$4899$⨳⩥⨓$1822$","expression":"(↽≂⪎⋱⫍1243)⨸⪁⪎⋱⫍22CB⨳⩥⨓⪎⋱⫍AA2","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2590,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4899,"base":13},"right_expr":{"type":"numeric_atoms","value":1822,"base":13}}},"used_operators":["g55IO6H4Gj","u6S6b8DprG","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-7694","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":2},{"info":"compute unary expreesion, input=2590, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5180","layer":1},{"info":"number node, value=4899","layer":2},{"info":"number node, value=1822","layer":2},{"info":"compute binary expreesion, left_input=4899, right_input=1822, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3077","layer":1},{"info":"compute binary expreesion, left_input=-5180, right_input=-3077, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-16514","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍1243)⨸⪁⪎⋱⫍22CB⨳⩥⨓⪎⋱⫍AA2=⪎⋱⫍-7694","reverse_text":"⪎⋱⫍-7694=(↽≂⪎⋱⫍1243)⨸⪁⪎⋱⫍22CB⨳⩥⨓⪎⋱⫍AA2","cot":[{"info":"↽≂⪎⋱⫍1243=⪎⋱⫍-2486","layer":1},{"info":"⪎⋱⫍22CB⨳⩥⨓⪎⋱⫍AA2=⪎⋱⫍-1529","layer":1},{"info":"⪎⋱⫍-2486⨸⪁⪎⋱⫍-1529=⪎⋱⫍-7694","layer":0}]}
{"id":758,"expression_no_base_symbol":"$1014$↺$2250$⊉≛↸$1045$⨰$1001$","expression":"⪎⋱⫍600↺⪎⋱⫍1041⊉≛↸⪎⋱⫍625⨰⪎⋱⫍5C0","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":2250,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1045,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}}},"used_operators":["DZ8iAZOCBD","7j4O788W3g","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2082","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=2250","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=2250, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2250","layer":1},{"info":"number node, value=1045","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=1001, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=54","layer":1},{"info":"compute binary expreesion, left_input=2250, right_input=54, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4500","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍600↺⪎⋱⫍1041⊉≛↸⪎⋱⫍625⨰⪎⋱⫍5C0=⪎⋱⫍2082","reverse_text":"⪎⋱⫍2082=⪎⋱⫍600↺⪎⋱⫍1041⊉≛↸⪎⋱⫍625⨰⪎⋱⫍5C0","cot":[{"info":"⪎⋱⫍600↺⪎⋱⫍1041=⪎⋱⫍1041","layer":1},{"info":"⪎⋱⫍625⨰⪎⋱⫍5C0=⪎⋱⫍42","layer":1},{"info":"⪎⋱⫍1041⊉≛↸⪎⋱⫍42=⪎⋱⫍2082","layer":0}]}
{"id":759,"expression_no_base_symbol":"($3532$⩤)%$9368$⋓$2291$","expression":"(⪎⋱⫍17B9⩤)%⪎⋱⫍4358⋓⪎⋱⫍1073","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3532,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":9368,"base":13},"right_expr":{"type":"numeric_atoms","value":2291,"base":13}}},"used_operators":["k8jYdgA6NY","Z2TMIBDE3Q","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3532","layer":2},{"info":"compute unary expreesion, input=3532, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3532","layer":1},{"info":"number node, value=9368","layer":2},{"info":"number node, value=2291","layer":2},{"info":"compute binary expreesion, left_input=9368, right_input=2291, op_id = T2fj7uvVaJ binary_op_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=-3532, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍17B9⩤)%⪎⋱⫍4358⋓⪎⋱⫍1073=NaN","reverse_text":"NaN=(⪎⋱⫍17B9⩤)%⪎⋱⫍4358⋓⪎⋱⫍1073","cot":[{"info":"⪎⋱⫍17B9⩤=⪎⋱⫍-17B9","layer":1},{"info":"⪎⋱⫍4358⋓⪎⋱⫍1073=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-17B9%⪎⋱⫍0=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"$4687$⪮%⊝$1143$↺$1193$⨰$1844$","expression":"⪎⋱⫍2197⪮%⊝⪎⋱⫍69C↺⪎⋱⫍70A⨰⪎⋱⫍ABB","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4687,"base":13},"right_expr":{"type":"numeric_atoms","value":1143,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1193,"base":13},"right_expr":{"type":"numeric_atoms","value":1844,"base":13}}},"used_operators":["7j4O788W3g","IWmyXbctLI","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-3A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4687","layer":2},{"info":"number node, value=1143","layer":2},{"info":"compute binary expreesion, left_input=4687, right_input=1143, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9690","layer":1},{"info":"number node, value=1193","layer":2},{"info":"number node, value=1844","layer":2},{"info":"compute binary expreesion, left_input=1193, right_input=1844, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-641","layer":1},{"info":"compute binary expreesion, left_input=9690, right_input=-641, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-641","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2197⪮%⊝⪎⋱⫍69C↺⪎⋱⫍70A⨰⪎⋱⫍ABB=⪎⋱⫍-3A4","reverse_text":"⪎⋱⫍-3A4=⪎⋱⫍2197⪮%⊝⪎⋱⫍69C↺⪎⋱⫍70A⨰⪎⋱⫍ABB","cot":[{"info":"⪎⋱⫍2197⪮%⊝⪎⋱⫍69C=⪎⋱⫍4545","layer":1},{"info":"⪎⋱⫍70A⨰⪎⋱⫍ABB=⪎⋱⫍-3A4","layer":1},{"info":"⪎⋱⫍4545↺⪎⋱⫍-3A4=⪎⋱⫍-3A4","layer":0}]}
{"id":761,"expression_no_base_symbol":"($4303$∲⫓$2019$)∸","expression":"(⪎⋱⫍1C60∲⫓⪎⋱⫍BC4)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4303,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}}},"used_operators":["o20kRiQErp","i8ToyICDmI"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4303","layer":2},{"info":"number node, value=2019","layer":2},{"info":"compute binary expreesion, left_input=4303, right_input=2019, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1C60∲⫓⪎⋱⫍BC4)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍1C60∲⫓⪎⋱⫍BC4)∸","cot":[{"info":"⪎⋱⫍1C60∲⫓⪎⋱⫍BC4=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0∸=⪎⋱⫍108","layer":0}]}
{"id":762,"expression_no_base_symbol":"($3255$⋳⪒$1045$)⪢($2968$⪒$3944$)","expression":"(⪎⋱⫍1635⋳⪒⪎⋱⫍625)⪢(⪎⋱⫍1474⪒⪎⋱⫍1A45)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7814,"operation_count":3,"complexity_ratio":2604.6666666666665,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3255,"base":13},"right_expr":{"type":"numeric_atoms","value":1045,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2968,"base":13},"right_expr":{"type":"numeric_atoms","value":3944,"base":13}}},"used_operators":["dWAJyo7jo9","12rbrZMWeM","f6k1SAg4EE"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3255","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=3255, right_input=1045, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5178","layer":1},{"info":"number node, value=2968","layer":2},{"info":"number node, value=3944","layer":2},{"info":"compute binary expreesion, left_input=2968, right_input=3944, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6912","layer":1},{"info":"compute binary expreesion, left_input=5178, right_input=-6912, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⪎⋱⫍1635⋳⪒⪎⋱⫍625)⪢(⪎⋱⫍1474⪒⪎⋱⫍1A45)=NaN","reverse_text":"NaN=(⪎⋱⫍1635⋳⪒⪎⋱⫍625)⪢(⪎⋱⫍1474⪒⪎⋱⫍1A45)","cot":[{"info":"⪎⋱⫍1635⋳⪒⪎⋱⫍625=⪎⋱⫍2484","layer":1},{"info":"⪎⋱⫍1474⪒⪎⋱⫍1A45=⪎⋱⫍-31B9","layer":1},{"info":"⪎⋱⫍2484⪢⪎⋱⫍-31B9=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"$1154$↬$1137$⨓$1285$⪛$1045$","expression":"⪎⋱⫍6AA↬⪎⋱⫍696⨓⪎⋱⫍77B⪛⪎⋱⫍625","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":251,"operation_count":3,"complexity_ratio":83.66666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1154,"base":13},"right_expr":{"type":"numeric_atoms","value":1137,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1285,"base":13},"right_expr":{"type":"numeric_atoms","value":1045,"base":13}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","uFcxV4UQCh"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-159","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1154","layer":2},{"info":"number node, value=1137","layer":2},{"info":"compute binary expreesion, left_input=1154, right_input=1137, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1285","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=1045, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=240","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=240, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-243","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍6AA↬⪎⋱⫍696⨓⪎⋱⫍77B⪛⪎⋱⫍625=⪎⋱⫍-159","reverse_text":"⪎⋱⫍-159=⪎⋱⫍6AA↬⪎⋱⫍696⨓⪎⋱⫍77B⪛⪎⋱⫍625","cot":[{"info":"⪎⋱⫍6AA↬⪎⋱⫍696=NaN","layer":1},{"info":"⪎⋱⫍77B⪛⪎⋱⫍625=⪎⋱⫍156","layer":1},{"info":"NaN⨓⪎⋱⫍156=⪎⋱⫍-159","layer":0}]}
{"id":764,"expression_no_base_symbol":"($1007$-$2332$)⩷∴$1213$⪢$1845$","expression":"(⪎⋱⫍5C6-⪎⋱⫍10A5)⩷∴⪎⋱⫍724⪢⪎⋱⫍ABC","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1852,"operation_count":3,"complexity_ratio":617.3333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1007,"base":13},"right_expr":{"type":"numeric_atoms","value":2332,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1213,"base":13},"right_expr":{"type":"numeric_atoms","value":1845,"base":13}}},"used_operators":["9FxExcQeMw","rysDP5nf3Z","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"number node, value=2332","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=2332, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1325","layer":1},{"info":"number node, value=1213","layer":2},{"info":"number node, value=1845","layer":2},{"info":"compute binary expreesion, left_input=1213, right_input=1845, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-1325, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5C6-⪎⋱⫍10A5)⩷∴⪎⋱⫍724⪢⪎⋱⫍ABC=NaN","reverse_text":"NaN=(⪎⋱⫍5C6-⪎⋱⫍10A5)⩷∴⪎⋱⫍724⪢⪎⋱⫍ABC","cot":[{"info":"⪎⋱⫍5C6-⪎⋱⫍10A5=⪎⋱⫍-7AC","layer":1},{"info":"⪎⋱⫍724⪢⪎⋱⫍ABC=NaN","layer":1},{"info":"⪎⋱⫍-7AC⩷∴NaN=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"($6388$⫥∨⫟$1728$)⪛($5400$⪒$4340$)","expression":"(⪎⋱⫍2BA5⫥∨⫟⪎⋱⫍A2C)⪛(⪎⋱⫍25C5⪒⪎⋱⫍1C8B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6388,"base":13},"right_expr":{"type":"numeric_atoms","value":1728,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5400,"base":13},"right_expr":{"type":"numeric_atoms","value":4340,"base":13}}},"used_operators":["uFcxV4UQCh","KYD54nUTWz","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6388","layer":2},{"info":"number node, value=1728","layer":2},{"info":"compute binary expreesion, left_input=6388, right_input=1728, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5400","layer":2},{"info":"number node, value=4340","layer":2},{"info":"compute binary expreesion, left_input=5400, right_input=4340, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9740, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2BA5⫥∨⫟⪎⋱⫍A2C)⪛(⪎⋱⫍25C5⪒⪎⋱⫍1C8B)=NaN","reverse_text":"NaN=(⪎⋱⫍2BA5⫥∨⫟⪎⋱⫍A2C)⪛(⪎⋱⫍25C5⪒⪎⋱⫍1C8B)","cot":[{"info":"⪎⋱⫍2BA5⫥∨⫟⪎⋱⫍A2C=NaN","layer":1},{"info":"⪎⋱⫍25C5⪒⪎⋱⫍1C8B=⪎⋱⫍-4583","layer":1},{"info":"NaN⪛⪎⋱⫍-4583=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"$3699$⨪↰⇹$6247$↺$1011$⨰$2526$","expression":"⪎⋱⫍18B7⨪↰⇹⪎⋱⫍2AC7↺⪎⋱⫍5CA⨰⪎⋱⫍11C4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3707,"operation_count":3,"complexity_ratio":1235.6666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3699,"base":13},"right_expr":{"type":"numeric_atoms","value":6247,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1011,"base":13},"right_expr":{"type":"numeric_atoms","value":2526,"base":13}}},"used_operators":["7j4O788W3g","tmPS8pqC7x","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-8BA","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3699","layer":2},{"info":"number node, value=6247","layer":2},{"info":"compute binary expreesion, left_input=3699, right_input=6247, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3699","layer":1},{"info":"number node, value=1011","layer":2},{"info":"number node, value=2526","layer":2},{"info":"compute binary expreesion, left_input=1011, right_input=2526, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1505","layer":1},{"info":"compute binary expreesion, left_input=3699, right_input=-1505, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1505","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍18B7⨪↰⇹⪎⋱⫍2AC7↺⪎⋱⫍5CA⨰⪎⋱⫍11C4=⪎⋱⫍-8BA","reverse_text":"⪎⋱⫍-8BA=⪎⋱⫍18B7⨪↰⇹⪎⋱⫍2AC7↺⪎⋱⫍5CA⨰⪎⋱⫍11C4","cot":[{"info":"⪎⋱⫍18B7⨪↰⇹⪎⋱⫍2AC7=⪎⋱⫍18B7","layer":1},{"info":"⪎⋱⫍5CA⨰⪎⋱⫍11C4=⪎⋱⫍-8BA","layer":1},{"info":"⪎⋱⫍18B7↺⪎⋱⫍-8BA=⪎⋱⫍-8BA","layer":0}]}
{"id":767,"expression_no_base_symbol":"(⩦⩻⨪$1000$)⊭↱$1938$⪘⫢$1856$","expression":"(⩦⩻⨪⪎⋱⫍5BC)⊭↱⪎⋱⫍B61⪘⫢⪎⋱⫍ACA","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1000,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1938,"base":13},"right_expr":{"type":"numeric_atoms","value":1856,"base":13}}},"used_operators":["COABgblf1C","2td37pGCOC","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍267A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"compute unary expreesion, input=1000, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1000","layer":1},{"info":"number node, value=1938","layer":2},{"info":"number node, value=1856","layer":2},{"info":"compute binary expreesion, left_input=1938, right_input=1856, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3752","layer":1},{"info":"compute binary expreesion, left_input=1000, right_input=3752, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5509","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍5BC)⊭↱⪎⋱⫍B61⪘⫢⪎⋱⫍ACA=⪎⋱⫍267A","reverse_text":"⪎⋱⫍267A=(⩦⩻⨪⪎⋱⫍5BC)⊭↱⪎⋱⫍B61⪘⫢⪎⋱⫍ACA","cot":[{"info":"⩦⩻⨪⪎⋱⫍5BC=⪎⋱⫍5BC","layer":1},{"info":"⪎⋱⫍B61⪘⫢⪎⋱⫍ACA=⪎⋱⫍1928","layer":1},{"info":"⪎⋱⫍5BC⊭↱⪎⋱⫍1928=⪎⋱⫍267A","layer":0}]}
{"id":768,"expression_no_base_symbol":"($1363$⨓$7938$)∀⇚≩(⨵≀≌$2605$)","expression":"(⪎⋱⫍80B⨓⪎⋱⫍37C8)∀⇚≩(⨵≀≌⪎⋱⫍1255)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63534,"operation_count":3,"complexity_ratio":21178.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1363,"base":13},"right_expr":{"type":"numeric_atoms","value":7938,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2605,"base":13}}},"used_operators":["LRNGc0VcxI","3ViojmjbAp","srAu1WTS94"],"dependent_operators":["X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":2},{"info":"number node, value=7938","layer":2},{"info":"compute binary expreesion, left_input=1363, right_input=7938, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7941","layer":1},{"info":"number node, value=2605","layer":2},{"info":"compute unary expreesion, input=2605, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7815","layer":1},{"info":"compute binary expreesion, left_input=-7941, right_input=-7815, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"(⪎⋱⫍80B⨓⪎⋱⫍37C8)∀⇚≩(⨵≀≌⪎⋱⫍1255)=NaN","reverse_text":"NaN=(⪎⋱⫍80B⨓⪎⋱⫍37C8)∀⇚≩(⨵≀≌⪎⋱⫍1255)","cot":[{"info":"⪎⋱⫍80B⨓⪎⋱⫍37C8=⪎⋱⫍-37CB","layer":1},{"info":"⨵≀≌⪎⋱⫍1255=⪎⋱⫍-3732","layer":1},{"info":"⪎⋱⫍-37CB∀⇚≩⪎⋱⫍-3732=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"($3138$↪⪝)⨟⋌⩍$4794$⪮%⊝$2061$","expression":"(⪎⋱⫍1575↪⪝)⨟⋌⩍⪎⋱⫍224A⪮%⊝⪎⋱⫍C27","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":710,"operation_count":3,"complexity_ratio":236.66666666666666,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3138,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4794,"base":13},"right_expr":{"type":"numeric_atoms","value":2061,"base":13}}},"used_operators":["rGHVDoGpnC","l07mrZUIn9","IWmyXbctLI"],"dependent_operators":["Tcnh7f0tEr","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3138","layer":2},{"info":"compute unary expreesion, input=3138, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=191989116","layer":1},{"info":"number node, value=4794","layer":2},{"info":"number node, value=2061","layer":2},{"info":"compute binary expreesion, left_input=4794, right_input=2061, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9904","layer":1},{"info":"compute binary expreesion, left_input=191989116, right_input=9904, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍1575↪⪝)⨟⋌⩍⪎⋱⫍224A⪮%⊝⪎⋱⫍C27=NaN","reverse_text":"NaN=(⪎⋱⫍1575↪⪝)⨟⋌⩍⪎⋱⫍224A⪮%⊝⪎⋱⫍C27","cot":[{"info":"⪎⋱⫍1575↪⪝=⪎⋱⫍30A10C37","layer":1},{"info":"⪎⋱⫍224A⪮%⊝⪎⋱⫍C27=⪎⋱⫍467B","layer":1},{"info":"⪎⋱⫍30A10C37⨟⋌⩍⪎⋱⫍467B=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"↩$4710$↺$2952$","expression":"↩⪎⋱⫍21B4↺⪎⋱⫍1461","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4710,"base":13},"right_expr":{"type":"numeric_atoms","value":2952,"base":13}}},"used_operators":["jLgFTUHLKL","7j4O788W3g"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-963A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4710","layer":2},{"info":"number node, value=2952","layer":2},{"info":"compute binary expreesion, left_input=4710, right_input=2952, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2952","layer":1},{"info":"compute unary expreesion, input=2952, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20836","layer":0}],"base":13,"result_base":13,"text":"↩⪎⋱⫍21B4↺⪎⋱⫍1461=⪎⋱⫍-963A","reverse_text":"⪎⋱⫍-963A=↩⪎⋱⫍21B4↺⪎⋱⫍1461","cot":[{"info":"⪎⋱⫍21B4↺⪎⋱⫍1461=⪎⋱⫍1461","layer":1},{"info":"↩⪎⋱⫍1461=⪎⋱⫍-963A","layer":0}]}
{"id":771,"expression_no_base_symbol":"(⨵≀≌$1798$)⋫","expression":"(⨵≀≌⪎⋱⫍A84)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5397,"operation_count":2,"complexity_ratio":2698.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1798,"base":13}}},"used_operators":["JL8yIekQnl","srAu1WTS94"],"dependent_operators":["tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⪎⋱⫍-25BC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1798","layer":2},{"info":"compute unary expreesion, input=1798, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5394","layer":1},{"info":"compute unary expreesion, input=-5394, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-5394","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍A84)⋫=⪎⋱⫍-25BC","reverse_text":"⪎⋱⫍-25BC=(⨵≀≌⪎⋱⫍A84)⋫","cot":[{"info":"⨵≀≌⪎⋱⫍A84=⪎⋱⫍-25BC","layer":1},{"info":"⪎⋱⫍-25BC⋫=⪎⋱⫍-25BC","layer":0}]}
{"id":772,"expression_no_base_symbol":"(⊄⩳↩$7295$)⋳⪒(↩$1117$)","expression":"(⊄⩳↩⪎⋱⫍3422)⋳⪒(↩⪎⋱⫍67C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7295,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1117,"base":13}}},"used_operators":["12rbrZMWeM","8w2t5hMYqp","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-14336","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7295","layer":2},{"info":"compute unary expreesion, input=7295, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21885","layer":1},{"info":"number node, value=1117","layer":2},{"info":"compute unary expreesion, input=1117, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6156","layer":1},{"info":"compute binary expreesion, left_input=-21885, right_input=-6156, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-37901","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍3422)⋳⪒(↩⪎⋱⫍67C)=⪎⋱⫍-14336","reverse_text":"⪎⋱⫍-14336=(⊄⩳↩⪎⋱⫍3422)⋳⪒(↩⪎⋱⫍67C)","cot":[{"info":"⊄⩳↩⪎⋱⫍3422=⪎⋱⫍-9C66","layer":1},{"info":"↩⪎⋱⫍67C=⪎⋱⫍-2A57","layer":1},{"info":"⪎⋱⫍-9C66⋳⪒⪎⋱⫍-2A57=⪎⋱⫍-14336","layer":0}]}
{"id":773,"expression_no_base_symbol":"$1466$⨰$6083$⩚⊴⇥($4783$⨎$2398$)","expression":"⪎⋱⫍88A⨰⪎⋱⫍29CC⩚⊴⇥(⪎⋱⫍223C⨎⪎⋱⫍1126)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1466,"base":13},"right_expr":{"type":"numeric_atoms","value":6083,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4783,"base":13},"right_expr":{"type":"numeric_atoms","value":2398,"base":13}}},"used_operators":["NTOWxs364D","eewbuw0ToL","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍C48","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"number node, value=6083","layer":2},{"info":"compute binary expreesion, left_input=1466, right_input=6083, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4607","layer":1},{"info":"number node, value=4783","layer":2},{"info":"number node, value=2398","layer":2},{"info":"compute binary expreesion, left_input=4783, right_input=2398, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2398","layer":1},{"info":"compute binary expreesion, left_input=-4607, right_input=2398, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2088","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍88A⨰⪎⋱⫍29CC⩚⊴⇥(⪎⋱⫍223C⨎⪎⋱⫍1126)=⪎⋱⫍C48","reverse_text":"⪎⋱⫍C48=⪎⋱⫍88A⨰⪎⋱⫍29CC⩚⊴⇥(⪎⋱⫍223C⨎⪎⋱⫍1126)","cot":[{"info":"⪎⋱⫍88A⨰⪎⋱⫍29CC=⪎⋱⫍-2135","layer":1},{"info":"⪎⋱⫍223C⨎⪎⋱⫍1126=⪎⋱⫍1126","layer":1},{"info":"⪎⋱⫍-2135⩚⊴⇥⪎⋱⫍1126=⪎⋱⫍C48","layer":0}]}
{"id":774,"expression_no_base_symbol":"(↔$1463$)+$3072$↙$2589$","expression":"(↔⪎⋱⫍887)+⪎⋱⫍1524↙⪎⋱⫍1242","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2600,"operation_count":3,"complexity_ratio":866.6666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1463,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3072,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}},"used_operators":["W4YGzv6Whe","ruOEQAzv1W","yyfyN0ffXY"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-4100","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":2},{"info":"compute unary expreesion, input=1463, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1190","layer":1},{"info":"number node, value=3072","layer":2},{"info":"number node, value=2589","layer":2},{"info":"compute binary expreesion, left_input=3072, right_input=2589, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7767","layer":1},{"info":"compute binary expreesion, left_input=-1190, right_input=-7767, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8957","layer":0}],"base":13,"result_base":13,"text":"(↔⪎⋱⫍887)+⪎⋱⫍1524↙⪎⋱⫍1242=⪎⋱⫍-4100","reverse_text":"⪎⋱⫍-4100=(↔⪎⋱⫍887)+⪎⋱⫍1524↙⪎⋱⫍1242","cot":[{"info":"↔⪎⋱⫍887=⪎⋱⫍-707","layer":1},{"info":"⪎⋱⫍1524↙⪎⋱⫍1242=⪎⋱⫍-36C6","layer":1},{"info":"⪎⋱⫍-707+⪎⋱⫍-36C6=⪎⋱⫍-4100","layer":0}]}
{"id":775,"expression_no_base_symbol":"($1049$⋥≓≎$3332$)↬($1483$⨵⪆$5002$)","expression":"(⪎⋱⫍629⋥≓≎⪎⋱⫍1694)↬(⪎⋱⫍8A1⨵⪆⪎⋱⫍237A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":3332,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1483,"base":13},"right_expr":{"type":"numeric_atoms","value":5002,"base":13}}},"used_operators":["B5M0gjZbta","Qy55tPpLXF","2DQ55sFlQl"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=3332","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=3332, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5648","layer":1},{"info":"number node, value=1483","layer":2},{"info":"number node, value=5002","layer":2},{"info":"compute binary expreesion, left_input=1483, right_input=5002, 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=5648, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍629⋥≓≎⪎⋱⫍1694)↬(⪎⋱⫍8A1⨵⪆⪎⋱⫍237A)=NaN","reverse_text":"NaN=(⪎⋱⫍629⋥≓≎⪎⋱⫍1694)↬(⪎⋱⫍8A1⨵⪆⪎⋱⫍237A)","cot":[{"info":"⪎⋱⫍629⋥≓≎⪎⋱⫍1694=⪎⋱⫍2756","layer":1},{"info":"⪎⋱⫍8A1⨵⪆⪎⋱⫍237A=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍2756↬⪎⋱⫍C4=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"$2470$↬$2897$⋷(↔$3074$)","expression":"⪎⋱⫍1180↬⪎⋱⫍141B⋷(↔⪎⋱⫍1526)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2470,"base":13},"right_expr":{"type":"numeric_atoms","value":2897,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3074,"base":13}}},"used_operators":["23Mk6UjR3U","B5M0gjZbta","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2470","layer":2},{"info":"number node, value=2897","layer":2},{"info":"compute binary expreesion, left_input=2470, right_input=2897, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3074","layer":2},{"info":"compute unary expreesion, input=3074, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2801","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2801, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1180↬⪎⋱⫍141B⋷(↔⪎⋱⫍1526)=NaN","reverse_text":"NaN=⪎⋱⫍1180↬⪎⋱⫍141B⋷(↔⪎⋱⫍1526)","cot":[{"info":"⪎⋱⫍1180↬⪎⋱⫍141B=NaN","layer":1},{"info":"↔⪎⋱⫍1526=⪎⋱⫍-1376","layer":1},{"info":"NaN⋷⪎⋱⫍-1376=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"($3331$↪⪝)⇷($1015$⪨≂$4169$)","expression":"(⪎⋱⫍1693↪⪝)⇷(⪎⋱⫍601⪨≂⪎⋱⫍1B89)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":714,"operation_count":3,"complexity_ratio":238.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3331,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1015,"base":13},"right_expr":{"type":"numeric_atoms","value":4169,"base":13}}},"used_operators":["mp7IySMOzn","l07mrZUIn9","sdazOOVcIp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":2},{"info":"compute unary expreesion, input=3331, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=203797242","layer":1},{"info":"number node, value=1015","layer":2},{"info":"number node, value=4169","layer":2},{"info":"compute binary expreesion, left_input=1015, right_input=4169, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=203797242, right_input=-6206, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1693↪⪝)⇷(⪎⋱⫍601⪨≂⪎⋱⫍1B89)=NaN","reverse_text":"NaN=(⪎⋱⫍1693↪⪝)⇷(⪎⋱⫍601⪨≂⪎⋱⫍1B89)","cot":[{"info":"⪎⋱⫍1693↪⪝=⪎⋱⫍332B67AC","layer":1},{"info":"⪎⋱⫍601⪨≂⪎⋱⫍1B89=⪎⋱⫍-2A95","layer":1},{"info":"⪎⋱⫍332B67AC⇷⪎⋱⫍-2A95=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"($1424$⋳⪒$2438$)∼(⨞⊢$7245$)","expression":"(⪎⋱⫍857⋳⪒⪎⋱⫍1157)∼(⨞⊢⪎⋱⫍33B4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1424,"base":13},"right_expr":{"type":"numeric_atoms","value":2438,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7245,"base":13}}},"used_operators":["DyGG3AbaNP","12rbrZMWeM","xUOZtlo3hN"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":2},{"info":"number node, value=2438","layer":2},{"info":"compute binary expreesion, left_input=1424, right_input=2438, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=123","layer":1},{"info":"number node, value=7245","layer":2},{"info":"compute unary expreesion, input=7245, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7419","layer":1},{"info":"compute binary expreesion, left_input=123, right_input=-7419, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍857⋳⪒⪎⋱⫍1157)∼(⨞⊢⪎⋱⫍33B4)=NaN","reverse_text":"NaN=(⪎⋱⫍857⋳⪒⪎⋱⫍1157)∼(⨞⊢⪎⋱⫍33B4)","cot":[{"info":"⪎⋱⫍857⋳⪒⪎⋱⫍1157=⪎⋱⫍96","layer":1},{"info":"⨞⊢⪎⋱⫍33B4=⪎⋱⫍-34B9","layer":1},{"info":"⪎⋱⫍96∼⪎⋱⫍-34B9=NaN","layer":0}]}
{"id":779,"expression_no_base_symbol":"($1005$⨎$1547$)⪛($1968$⩷∴$2623$)","expression":"(⪎⋱⫍5C4⨎⪎⋱⫍920)⪛(⪎⋱⫍B85⩷∴⪎⋱⫍126A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":1547,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1968,"base":13},"right_expr":{"type":"numeric_atoms","value":2623,"base":13}}},"used_operators":["uFcxV4UQCh","rJVOvQCfKK","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"⪎⋱⫍-696","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1005","layer":2},{"info":"number node, value=1547","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1547, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1547","layer":1},{"info":"number node, value=1968","layer":2},{"info":"number node, value=2623","layer":2},{"info":"compute binary expreesion, left_input=1968, right_input=2623, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1342","layer":1},{"info":"compute binary expreesion, left_input=1547, right_input=-1342, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1137","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5C4⨎⪎⋱⫍920)⪛(⪎⋱⫍B85⩷∴⪎⋱⫍126A)=⪎⋱⫍-696","reverse_text":"⪎⋱⫍-696=(⪎⋱⫍5C4⨎⪎⋱⫍920)⪛(⪎⋱⫍B85⩷∴⪎⋱⫍126A)","cot":[{"info":"⪎⋱⫍5C4⨎⪎⋱⫍920=⪎⋱⫍920","layer":1},{"info":"⪎⋱⫍B85⩷∴⪎⋱⫍126A=⪎⋱⫍-7C3","layer":1},{"info":"⪎⋱⫍920⪛⪎⋱⫍-7C3=⪎⋱⫍-696","layer":0}]}
{"id":780,"expression_no_base_symbol":"+⊝⨔($3642$≭$1245$)","expression":"+⊝⨔(⪎⋱⫍1872≭⪎⋱⫍74A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3642,"base":13},"right_expr":{"type":"numeric_atoms","value":1245,"base":13}}},"used_operators":["DhbWaqg5eL","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3642","layer":2},{"info":"number node, value=1245","layer":2},{"info":"compute binary expreesion, left_input=3642, right_input=1245, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍1872≭⪎⋱⫍74A)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍1872≭⪎⋱⫍74A)","cot":[{"info":"⪎⋱⫍1872≭⪎⋱⫍74A=NaN","layer":1},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":0}]}
{"id":781,"expression_no_base_symbol":"$1696$⪢$7555$⊉≛↸(⊄⩳↩$3302$)","expression":"⪎⋱⫍A06⪢⪎⋱⫍3592⊉≛↸(⊄⩳↩⪎⋱⫍1670)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7560,"operation_count":3,"complexity_ratio":2520.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1696,"base":13},"right_expr":{"type":"numeric_atoms","value":7555,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3302,"base":13}}},"used_operators":["DZ8iAZOCBD","dWAJyo7jo9","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1696","layer":2},{"info":"number node, value=7555","layer":2},{"info":"compute binary expreesion, left_input=1696, right_input=7555, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3302","layer":2},{"info":"compute unary expreesion, input=3302, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9906","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9906, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A06⪢⪎⋱⫍3592⊉≛↸(⊄⩳↩⪎⋱⫍1670)=NaN","reverse_text":"NaN=⪎⋱⫍A06⪢⪎⋱⫍3592⊉≛↸(⊄⩳↩⪎⋱⫍1670)","cot":[{"info":"⪎⋱⫍A06⪢⪎⋱⫍3592=NaN","layer":1},{"info":"⊄⩳↩⪎⋱⫍1670=⪎⋱⫍-4680","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍-4680=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"($1619$/$4358$)≧⫂∧(∂$1553$)","expression":"(⪎⋱⫍977/⪎⋱⫍1CA3)≧⫂∧(∂⪎⋱⫍926)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":4358,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1553,"base":13}}},"used_operators":["Ph9nP6C5qx","XhwjNDsVaA","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1619","layer":2},{"info":"number node, value=4358","layer":2},{"info":"compute binary expreesion, left_input=1619, right_input=4358, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1553","layer":2},{"info":"compute unary expreesion, input=1553, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍977/⪎⋱⫍1CA3)≧⫂∧(∂⪎⋱⫍926)=NaN","reverse_text":"NaN=(⪎⋱⫍977/⪎⋱⫍1CA3)≧⫂∧(∂⪎⋱⫍926)","cot":[{"info":"⪎⋱⫍977/⪎⋱⫍1CA3=⪎⋱⫍0","layer":1},{"info":"∂⪎⋱⫍926=NaN","layer":1},{"info":"⪎⋱⫍0≧⫂∧NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"($1025$⪄$3124$)⨪↰⇹($2908$⨸⪁$1905$)","expression":"(⪎⋱⫍60B⪄⪎⋱⫍1564)⨪↰⇹(⪎⋱⫍1429⨸⪁⪎⋱⫍B37)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":160383,"operation_count":3,"complexity_ratio":53461.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1025,"base":13},"right_expr":{"type":"numeric_atoms","value":3124,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2908,"base":13},"right_expr":{"type":"numeric_atoms","value":1905,"base":13}}},"used_operators":["tmPS8pqC7x","SUmda5xLS4","g55IO6H4Gj"],"dependent_operators":["rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe"],"result":"⪎⋱⫍57C58","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"number node, value=3124","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=3124, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-160285","layer":1},{"info":"number node, value=2908","layer":2},{"info":"number node, value=1905","layer":2},{"info":"compute binary expreesion, left_input=2908, right_input=1905, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9626","layer":1},{"info":"compute binary expreesion, left_input=-160285, right_input=9626, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160285","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍60B⪄⪎⋱⫍1564)⨪↰⇹(⪎⋱⫍1429⨸⪁⪎⋱⫍B37)=⪎⋱⫍57C58","reverse_text":"⪎⋱⫍57C58=(⪎⋱⫍60B⪄⪎⋱⫍1564)⨪↰⇹(⪎⋱⫍1429⨸⪁⪎⋱⫍B37)","cot":[{"info":"⪎⋱⫍60B⪄⪎⋱⫍1564=⪎⋱⫍-57C58","layer":1},{"info":"⪎⋱⫍1429⨸⪁⪎⋱⫍B37=⪎⋱⫍44C6","layer":1},{"info":"⪎⋱⫍-57C58⨪↰⇹⪎⋱⫍44C6=⪎⋱⫍57C58","layer":0}]}
{"id":784,"expression_no_base_symbol":"(+⊝⨔$1232$)⋝⋈⪟($2373$⪄$1132$)","expression":"(+⊝⨔⪎⋱⫍73A)⋝⋈⪟(⪎⋱⫍1107⪄⪎⋱⫍691)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":138,"operation_count":3,"complexity_ratio":46.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1232,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2373,"base":13},"right_expr":{"type":"numeric_atoms","value":1132,"base":13}}},"used_operators":["2DDjHMKMc0","DhbWaqg5eL","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":2},{"info":"compute unary expreesion, input=1232, 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=2373","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=2373, right_input=1132, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-351821","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-351821, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1522","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔⪎⋱⫍73A)⋝⋈⪟(⪎⋱⫍1107⪄⪎⋱⫍691)=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=(+⊝⨔⪎⋱⫍73A)⋝⋈⪟(⪎⋱⫍1107⪄⪎⋱⫍691)","cot":[{"info":"+⊝⨔⪎⋱⫍73A=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍1107⪄⪎⋱⫍691=⪎⋱⫍-C41A2","layer":1},{"info":"⪎⋱⫍901⋝⋈⪟⪎⋱⫍-C41A2=⪎⋱⫍901","layer":0}]}
{"id":785,"expression_no_base_symbol":"($2931$⨳⩥⨓$2117$)∑⇟⊟($1457$≧⫂∧$3160$)","expression":"(⪎⋱⫍1446⨳⩥⨓⪎⋱⫍C6B)∑⇟⊟(⪎⋱⫍881≧⫂∧⪎⋱⫍1591)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2931,"base":13},"right_expr":{"type":"numeric_atoms","value":2117,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1457,"base":13},"right_expr":{"type":"numeric_atoms","value":3160,"base":13}}},"used_operators":["U7g4x0WXJJ","nCS4ZIUYfx","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2931","layer":2},{"info":"number node, value=2117","layer":2},{"info":"compute binary expreesion, left_input=2931, right_input=2117, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-814","layer":1},{"info":"number node, value=1457","layer":2},{"info":"number node, value=3160","layer":2},{"info":"compute binary expreesion, left_input=1457, right_input=3160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2687","layer":1},{"info":"compute binary expreesion, left_input=-814, right_input=2687, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1446⨳⩥⨓⪎⋱⫍C6B)∑⇟⊟(⪎⋱⫍881≧⫂∧⪎⋱⫍1591)=NaN","reverse_text":"NaN=(⪎⋱⫍1446⨳⩥⨓⪎⋱⫍C6B)∑⇟⊟(⪎⋱⫍881≧⫂∧⪎⋱⫍1591)","cot":[{"info":"⪎⋱⫍1446⨳⩥⨓⪎⋱⫍C6B=⪎⋱⫍-4A8","layer":1},{"info":"⪎⋱⫍881≧⫂∧⪎⋱⫍1591=⪎⋱⫍12B9","layer":1},{"info":"⪎⋱⫍-4A8∑⇟⊟⪎⋱⫍12B9=NaN","layer":0}]}
{"id":786,"expression_no_base_symbol":"(⨰⫟⨤$1707$)⨰$1769$⨟⋌⩍$1892$","expression":"(⨰⫟⨤⪎⋱⫍A14)⨰⪎⋱⫍A61⨟⋌⩍⪎⋱⫍B27","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5995,"operation_count":3,"complexity_ratio":1998.3333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1707,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1769,"base":13},"right_expr":{"type":"numeric_atoms","value":1892,"base":13}}},"used_operators":["eewbuw0ToL","Tw270M8GLb","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1707","layer":2},{"info":"compute unary expreesion, input=1707, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1769","layer":2},{"info":"number node, value=1892","layer":2},{"info":"compute binary expreesion, left_input=1769, right_input=1892, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍A14)⨰⪎⋱⫍A61⨟⋌⩍⪎⋱⫍B27=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍A14)⨰⪎⋱⫍A61⨟⋌⩍⪎⋱⫍B27","cot":[{"info":"⨰⫟⨤⪎⋱⫍A14=NaN","layer":1},{"info":"⪎⋱⫍A61⨟⋌⩍⪎⋱⫍B27=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"($1819$⨰$1480$)⪮%⊝(≦∁$1251$)","expression":"(⪎⋱⫍A9C⨰⪎⋱⫍89B)⪮%⊝(≦∁⪎⋱⫍753)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1819,"base":13},"right_expr":{"type":"numeric_atoms","value":1480,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1251,"base":13}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","9ICcGScMcE"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍600","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1819","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=1819, right_input=1480, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=349","layer":1},{"info":"number node, value=1251","layer":2},{"info":"compute unary expreesion, input=1251, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1251","layer":1},{"info":"compute binary expreesion, left_input=349, right_input=1251, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1014","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A9C⨰⪎⋱⫍89B)⪮%⊝(≦∁⪎⋱⫍753)=⪎⋱⫍600","reverse_text":"⪎⋱⫍600=(⪎⋱⫍A9C⨰⪎⋱⫍89B)⪮%⊝(≦∁⪎⋱⫍753)","cot":[{"info":"⪎⋱⫍A9C⨰⪎⋱⫍89B=⪎⋱⫍20B","layer":1},{"info":"≦∁⪎⋱⫍753=⪎⋱⫍753","layer":1},{"info":"⪎⋱⫍20B⪮%⊝⪎⋱⫍753=⪎⋱⫍600","layer":0}]}
{"id":788,"expression_no_base_symbol":"$2022$⊴$1720$⫌⩹⨱","expression":"⪎⋱⫍BC7⊴⪎⋱⫍A24⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2143,"operation_count":2,"complexity_ratio":1071.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2022,"base":13},"right_expr":{"type":"numeric_atoms","value":1720,"base":13}}},"used_operators":["EBcxylXtPf","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2022","layer":2},{"info":"number node, value=1720","layer":2},{"info":"compute binary expreesion, left_input=2022, right_input=1720, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":13,"result_base":13,"text":"⪎⋱⫍BC7⊴⪎⋱⫍A24⫌⩹⨱=NaN","reverse_text":"NaN=⪎⋱⫍BC7⊴⪎⋱⫍A24⫌⩹⨱","cot":[{"info":"⪎⋱⫍BC7⊴⪎⋱⫍A24=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"(↯⪼$4928$)⋝⋈⪟($4277$↙$1705$)","expression":"(↯⪼⪎⋱⫍2321)⋝⋈⪟(⪎⋱⫍1C40↙⪎⋱⫍A12)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1742,"operation_count":3,"complexity_ratio":580.6666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4928,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4277,"base":13},"right_expr":{"type":"numeric_atoms","value":1705,"base":13}}},"used_operators":["2DDjHMKMc0","8jW3W4yZS5","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4928","layer":2},{"info":"compute unary expreesion, input=4928, 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=4277","layer":2},{"info":"number node, value=1705","layer":2},{"info":"compute binary expreesion, left_input=4277, right_input=1705, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5115","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-5115, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍2321)⋝⋈⪟(⪎⋱⫍1C40↙⪎⋱⫍A12)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=(↯⪼⪎⋱⫍2321)⋝⋈⪟(⪎⋱⫍1C40↙⪎⋱⫍A12)","cot":[{"info":"↯⪼⪎⋱⫍2321=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1C40↙⪎⋱⫍A12=⪎⋱⫍-2436","layer":1},{"info":"⪎⋱⫍-18⋝⋈⪟⪎⋱⫍-2436=⪎⋱⫍-18","layer":0}]}
{"id":790,"expression_no_base_symbol":"(-$3580$)⪒$2635$≧⫂∧$1688$","expression":"(-⪎⋱⫍1825)⪒⪎⋱⫍1279≧⫂∧⪎⋱⫍9CB","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3580,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2635,"base":13},"right_expr":{"type":"numeric_atoms","value":1688,"base":13}}},"used_operators":["f6k1SAg4EE","t8gj7n24qd","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍10CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3580","layer":2},{"info":"compute unary expreesion, input=3580, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3580","layer":1},{"info":"number node, value=2635","layer":2},{"info":"number node, value=1688","layer":2},{"info":"compute binary expreesion, left_input=2635, right_input=1688, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1215","layer":1},{"info":"compute binary expreesion, left_input=-3580, right_input=1215, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2365","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍1825)⪒⪎⋱⫍1279≧⫂∧⪎⋱⫍9CB=⪎⋱⫍10CC","reverse_text":"⪎⋱⫍10CC=(-⪎⋱⫍1825)⪒⪎⋱⫍1279≧⫂∧⪎⋱⫍9CB","cot":[{"info":"-⪎⋱⫍1825=⪎⋱⫍-1825","layer":1},{"info":"⪎⋱⫍1279≧⫂∧⪎⋱⫍9CB=⪎⋱⫍726","layer":1},{"info":"⪎⋱⫍-1825⪒⪎⋱⫍726=⪎⋱⫍10CC","layer":0}]}
{"id":791,"expression_no_base_symbol":"∂($2888$-$7794$)","expression":"∂(⪎⋱⫍1412-⪎⋱⫍3717)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":418,"operation_count":2,"complexity_ratio":209.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2888,"base":13},"right_expr":{"type":"numeric_atoms","value":7794,"base":13}}},"used_operators":["Uaa54Peajs","rysDP5nf3Z"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⪎⋱⫍2161","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":2},{"info":"number node, value=7794","layer":2},{"info":"compute binary expreesion, left_input=2888, right_input=7794, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4906","layer":1},{"info":"compute unary expreesion, input=-4906, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4642","layer":0}],"base":13,"result_base":13,"text":"∂(⪎⋱⫍1412-⪎⋱⫍3717)=⪎⋱⫍2161","reverse_text":"⪎⋱⫍2161=∂(⪎⋱⫍1412-⪎⋱⫍3717)","cot":[{"info":"⪎⋱⫍1412-⪎⋱⫍3717=⪎⋱⫍-2305","layer":1},{"info":"∂⪎⋱⫍-2305=⪎⋱⫍2161","layer":0}]}
{"id":792,"expression_no_base_symbol":"$5610$⊉≛↸$5103$%$4224$≹⇙⪍$3821$","expression":"⪎⋱⫍2727⊉≛↸⪎⋱⫍2427%⪎⋱⫍1BCC≹⇙⪍⪎⋱⫍197C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5610,"base":13},"right_expr":{"type":"numeric_atoms","value":5103,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4224,"base":13},"right_expr":{"type":"numeric_atoms","value":3821,"base":13}}},"used_operators":["k8jYdgA6NY","DZ8iAZOCBD","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5610","layer":2},{"info":"number node, value=5103","layer":2},{"info":"compute binary expreesion, left_input=5610, right_input=5103, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11220","layer":1},{"info":"number node, value=4224","layer":2},{"info":"number node, value=3821","layer":2},{"info":"compute binary expreesion, left_input=4224, right_input=3821, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=11220, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2727⊉≛↸⪎⋱⫍2427%⪎⋱⫍1BCC≹⇙⪍⪎⋱⫍197C=NaN","reverse_text":"NaN=⪎⋱⫍2727⊉≛↸⪎⋱⫍2427%⪎⋱⫍1BCC≹⇙⪍⪎⋱⫍197C","cot":[{"info":"⪎⋱⫍2727⊉≛↸⪎⋱⫍2427=⪎⋱⫍5151","layer":1},{"info":"⪎⋱⫍1BCC≹⇙⪍⪎⋱⫍197C=NaN","layer":1},{"info":"⪎⋱⫍5151%NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"$1613$∲⫓$3682$⋷(≦∁$1037$)","expression":"⪎⋱⫍971∲⫓⪎⋱⫍18A3⋷(≦∁⪎⋱⫍61A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1613,"base":13},"right_expr":{"type":"numeric_atoms","value":3682,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1037,"base":13}}},"used_operators":["23Mk6UjR3U","i8ToyICDmI","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1613","layer":2},{"info":"number node, value=3682","layer":2},{"info":"compute binary expreesion, left_input=1613, right_input=3682, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1037","layer":2},{"info":"compute unary expreesion, input=1037, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1037","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1037, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍971∲⫓⪎⋱⫍18A3⋷(≦∁⪎⋱⫍61A)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍971∲⫓⪎⋱⫍18A3⋷(≦∁⪎⋱⫍61A)","cot":[{"info":"⪎⋱⫍971∲⫓⪎⋱⫍18A3=⪎⋱⫍0","layer":1},{"info":"≦∁⪎⋱⫍61A=⪎⋱⫍61A","layer":1},{"info":"⪎⋱⫍0⋷⪎⋱⫍61A=⪎⋱⫍0","layer":0}]}
{"id":794,"expression_no_base_symbol":"($4062$⫌⩹⨱)⫥∨⫟($2450$⩨$2581$)","expression":"(⪎⋱⫍1B06⫌⩹⨱)⫥∨⫟(⪎⋱⫍1166⩨⪎⋱⫍1237)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":165,"operation_count":3,"complexity_ratio":55.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4062,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2450,"base":13},"right_expr":{"type":"numeric_atoms","value":2581,"base":13}}},"used_operators":["KYD54nUTWz","EBcxylXtPf","2DlMacCsIx"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4062","layer":2},{"info":"compute unary expreesion, input=4062, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9525","layer":1},{"info":"number node, value=2450","layer":2},{"info":"number node, value=2581","layer":2},{"info":"compute binary expreesion, left_input=2450, right_input=2581, 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=9525, right_input=-3, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1B06⫌⩹⨱)⫥∨⫟(⪎⋱⫍1166⩨⪎⋱⫍1237)=NaN","reverse_text":"NaN=(⪎⋱⫍1B06⫌⩹⨱)⫥∨⫟(⪎⋱⫍1166⩨⪎⋱⫍1237)","cot":[{"info":"⪎⋱⫍1B06⫌⩹⨱=⪎⋱⫍4449","layer":1},{"info":"⪎⋱⫍1166⩨⪎⋱⫍1237=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍4449⫥∨⫟⪎⋱⫍-3=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"$1400$⩷∴$2082$↪⪝","expression":"⪎⋱⫍839⩷∴⪎⋱⫍C42↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":706,"operation_count":2,"complexity_ratio":353.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1400,"base":13},"right_expr":{"type":"numeric_atoms","value":2082,"base":13}}},"used_operators":["l07mrZUIn9","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z"],"result":"⪎⋱⫍-14905A07","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":2},{"info":"number node, value=2082","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=2082, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1396","layer":1},{"info":"compute unary expreesion, input=-1396, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-85410072","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍839⩷∴⪎⋱⫍C42↪⪝=⪎⋱⫍-14905A07","reverse_text":"⪎⋱⫍-14905A07=⪎⋱⫍839⩷∴⪎⋱⫍C42↪⪝","cot":[{"info":"⪎⋱⫍839⩷∴⪎⋱⫍C42=⪎⋱⫍-835","layer":1},{"info":"⪎⋱⫍-835↪⪝=⪎⋱⫍-14905A07","layer":0}]}
{"id":796,"expression_no_base_symbol":"($4023$⋥≓≎$1735$)⨓$3453$≹⇙⪍$3022$","expression":"(⪎⋱⫍1AA6⋥≓≎⪎⋱⫍A36)⨓⪎⋱⫍1758≹⇙⪍⪎⋱⫍14B6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4023,"base":13},"right_expr":{"type":"numeric_atoms","value":1735,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3453,"base":13},"right_expr":{"type":"numeric_atoms","value":3022,"base":13}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","AHs5Up7iyr"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4023","layer":2},{"info":"number node, value=1735","layer":2},{"info":"compute binary expreesion, left_input=4023, right_input=1735, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-520","layer":1},{"info":"number node, value=3453","layer":2},{"info":"number node, value=3022","layer":2},{"info":"compute binary expreesion, left_input=3453, right_input=3022, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-520, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1AA6⋥≓≎⪎⋱⫍A36)⨓⪎⋱⫍1758≹⇙⪍⪎⋱⫍14B6=NaN","reverse_text":"NaN=(⪎⋱⫍1AA6⋥≓≎⪎⋱⫍A36)⨓⪎⋱⫍1758≹⇙⪍⪎⋱⫍14B6","cot":[{"info":"⪎⋱⫍1AA6⋥≓≎⪎⋱⫍A36=⪎⋱⫍-310","layer":1},{"info":"⪎⋱⫍1758≹⇙⪍⪎⋱⫍14B6=NaN","layer":1},{"info":"⪎⋱⫍-310⨓NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"$6860$⨰$3980$⫡⨏$2158$⨳⩥⨓$1368$","expression":"⪎⋱⫍3179⨰⪎⋱⫍1A72⫡⨏⪎⋱⫍CA0⨳⩥⨓⪎⋱⫍813","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6860,"base":13},"right_expr":{"type":"numeric_atoms","value":3980,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2158,"base":13},"right_expr":{"type":"numeric_atoms","value":1368,"base":13}}},"used_operators":["QMFrweE19q","eewbuw0ToL","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍62A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6860","layer":2},{"info":"number node, value=3980","layer":2},{"info":"compute binary expreesion, left_input=6860, right_input=3980, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2890","layer":1},{"info":"number node, value=2158","layer":2},{"info":"number node, value=1368","layer":2},{"info":"compute binary expreesion, left_input=2158, right_input=1368, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-790","layer":1},{"info":"compute binary expreesion, left_input=2890, right_input=-790, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13653","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3179⨰⪎⋱⫍1A72⫡⨏⪎⋱⫍CA0⨳⩥⨓⪎⋱⫍813=⪎⋱⫍62A3","reverse_text":"⪎⋱⫍62A3=⪎⋱⫍3179⨰⪎⋱⫍1A72⫡⨏⪎⋱⫍CA0⨳⩥⨓⪎⋱⫍813","cot":[{"info":"⪎⋱⫍3179⨰⪎⋱⫍1A72=⪎⋱⫍1414","layer":1},{"info":"⪎⋱⫍CA0⨳⩥⨓⪎⋱⫍813=⪎⋱⫍-48A","layer":1},{"info":"⪎⋱⫍1414⫡⨏⪎⋱⫍-48A=⪎⋱⫍62A3","layer":0}]}
{"id":798,"expression_no_base_symbol":"($5146$⪨≂$4591$)⫥∨⫟$5651$⪮%⊝$1457$","expression":"(⪎⋱⫍245B⪨≂⪎⋱⫍2122)⫥∨⫟⪎⋱⫍2759⪮%⊝⪎⋱⫍881","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":168,"operation_count":3,"complexity_ratio":56.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5146,"base":13},"right_expr":{"type":"numeric_atoms","value":4591,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5651,"base":13},"right_expr":{"type":"numeric_atoms","value":1457,"base":13}}},"used_operators":["KYD54nUTWz","sdazOOVcIp","IWmyXbctLI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5146","layer":2},{"info":"number node, value=4591","layer":2},{"info":"compute binary expreesion, left_input=5146, right_input=4591, op_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":1},{"info":"number node, value=5651","layer":2},{"info":"number node, value=1457","layer":2},{"info":"compute binary expreesion, left_input=5651, right_input=1457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11618","layer":1},{"info":"compute binary expreesion, left_input=1212, right_input=11618, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍245B⪨≂⪎⋱⫍2122)⫥∨⫟⪎⋱⫍2759⪮%⊝⪎⋱⫍881=NaN","reverse_text":"NaN=(⪎⋱⫍245B⪨≂⪎⋱⫍2122)⫥∨⫟⪎⋱⫍2759⪮%⊝⪎⋱⫍881","cot":[{"info":"⪎⋱⫍245B⪨≂⪎⋱⫍2122=⪎⋱⫍723","layer":1},{"info":"⪎⋱⫍2759⪮%⊝⪎⋱⫍881=⪎⋱⫍5399","layer":1},{"info":"⪎⋱⫍723⫥∨⫟⪎⋱⫍5399=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"$2189$⨪↰⇹$2864$≧⫂∧(≉$1172$)","expression":"⪎⋱⫍CC5⨪↰⇹⪎⋱⫍13C4≧⫂∧(≉⪎⋱⫍6C2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2192,"operation_count":3,"complexity_ratio":730.6666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2189,"base":13},"right_expr":{"type":"numeric_atoms","value":2864,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1172,"base":13}}},"used_operators":["Ph9nP6C5qx","tmPS8pqC7x","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍738","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2189","layer":2},{"info":"number node, value=2864","layer":2},{"info":"compute binary expreesion, left_input=2189, right_input=2864, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2189","layer":1},{"info":"number node, value=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1703","layer":1},{"info":"compute binary expreesion, left_input=2189, right_input=1703, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1230","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍CC5⨪↰⇹⪎⋱⫍13C4≧⫂∧(≉⪎⋱⫍6C2)=⪎⋱⫍738","reverse_text":"⪎⋱⫍738=⪎⋱⫍CC5⨪↰⇹⪎⋱⫍13C4≧⫂∧(≉⪎⋱⫍6C2)","cot":[{"info":"⪎⋱⫍CC5⨪↰⇹⪎⋱⫍13C4=⪎⋱⫍CC5","layer":1},{"info":"≉⪎⋱⫍6C2=⪎⋱⫍A10","layer":1},{"info":"⪎⋱⫍CC5≧⫂∧⪎⋱⫍A10=⪎⋱⫍738","layer":0}]}
{"id":800,"expression_no_base_symbol":"(≤/$6747$)⪛($1251$⩨$3808$)","expression":"(≤/⪎⋱⫍30C0)⪛(⪎⋱⫍753⩨⪎⋱⫍196C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":705,"operation_count":3,"complexity_ratio":235.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6747,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1251,"base":13},"right_expr":{"type":"numeric_atoms","value":3808,"base":13}}},"used_operators":["uFcxV4UQCh","eLAdDNolq6","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6747","layer":2},{"info":"compute unary expreesion, input=6747, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6263","layer":1},{"info":"number node, value=1251","layer":2},{"info":"number node, value=3808","layer":2},{"info":"compute binary expreesion, left_input=1251, right_input=3808, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=-6263, right_input=-9, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-8","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍30C0)⪛(⪎⋱⫍753⩨⪎⋱⫍196C)=⪎⋱⫍-8","reverse_text":"⪎⋱⫍-8=(≤/⪎⋱⫍30C0)⪛(⪎⋱⫍753⩨⪎⋱⫍196C)","cot":[{"info":"≤/⪎⋱⫍30C0=⪎⋱⫍-2B0A","layer":1},{"info":"⪎⋱⫍753⩨⪎⋱⫍196C=⪎⋱⫍-9","layer":1},{"info":"⪎⋱⫍-2B0A⪛⪎⋱⫍-9=⪎⋱⫍-8","layer":0}]}
{"id":801,"expression_no_base_symbol":"(≤/$4405$)⨎($1993$↛⩡⫤)","expression":"(≤/⪎⋱⫍200B)⨎(⪎⋱⫍BA4↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6115,"operation_count":3,"complexity_ratio":2038.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4405,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1993,"base":13}}},"used_operators":["rJVOvQCfKK","eLAdDNolq6","FU0Cs4j7VP"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⪎⋱⫍-A5278","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4405","layer":2},{"info":"compute unary expreesion, input=4405, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3921","layer":1},{"info":"number node, value=1993","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-3921, right_input=-297032, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-297032","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍200B)⨎(⪎⋱⫍BA4↛⩡⫤)=⪎⋱⫍-A5278","reverse_text":"⪎⋱⫍-A5278=(≤/⪎⋱⫍200B)⨎(⪎⋱⫍BA4↛⩡⫤)","cot":[{"info":"≤/⪎⋱⫍200B=⪎⋱⫍-1A28","layer":1},{"info":"⪎⋱⫍BA4↛⩡⫤=⪎⋱⫍-A5278","layer":1},{"info":"⪎⋱⫍-1A28⨎⪎⋱⫍-A5278=⪎⋱⫍-A5278","layer":0}]}
{"id":802,"expression_no_base_symbol":"($1249$⪒$3581$)⇼⇔∾(⊙↵-$1889$)","expression":"(⪎⋱⫍751⪒⪎⋱⫍1826)⇼⇔∾(⊙↵-⪎⋱⫍B24)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1940,"operation_count":3,"complexity_ratio":646.6666666666666,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1249,"base":13},"right_expr":{"type":"numeric_atoms","value":3581,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1889,"base":13}}},"used_operators":["tifHPKVTfV","f6k1SAg4EE","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍2276","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":2},{"info":"number node, value=3581","layer":2},{"info":"compute binary expreesion, left_input=1249, right_input=3581, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4830","layer":1},{"info":"number node, value=1889","layer":2},{"info":"compute unary expreesion, input=1889, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-4830, right_input=-1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4829","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍751⪒⪎⋱⫍1826)⇼⇔∾(⊙↵-⪎⋱⫍B24)=⪎⋱⫍2276","reverse_text":"⪎⋱⫍2276=(⪎⋱⫍751⪒⪎⋱⫍1826)⇼⇔∾(⊙↵-⪎⋱⫍B24)","cot":[{"info":"⪎⋱⫍751⪒⪎⋱⫍1826=⪎⋱⫍-2277","layer":1},{"info":"⊙↵-⪎⋱⫍B24=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍-2277⇼⇔∾⪎⋱⫍-1=⪎⋱⫍2276","layer":0}]}
{"id":803,"expression_no_base_symbol":"($1222$≫≃)⨐⩸⫘($1124$/$2574$)","expression":"(⪎⋱⫍730≫≃)⨐⩸⫘(⪎⋱⫍686/⪎⋱⫍1230)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1222,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1124,"base":13},"right_expr":{"type":"numeric_atoms","value":2574,"base":13}}},"used_operators":["fu6greOZ01","X99M06cbEe","XhwjNDsVaA"],"dependent_operators":["3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z"],"result":"⪎⋱⫍199A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"compute unary expreesion, input=1222, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3845","layer":1},{"info":"number node, value=1124","layer":2},{"info":"number node, value=2574","layer":2},{"info":"compute binary expreesion, left_input=1124, right_input=2574, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=3845, 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=3845","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍730≫≃)⨐⩸⫘(⪎⋱⫍686/⪎⋱⫍1230)=⪎⋱⫍199A","reverse_text":"⪎⋱⫍199A=(⪎⋱⫍730≫≃)⨐⩸⫘(⪎⋱⫍686/⪎⋱⫍1230)","cot":[{"info":"⪎⋱⫍730≫≃=⪎⋱⫍199A","layer":1},{"info":"⪎⋱⫍686/⪎⋱⫍1230=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍199A⨐⩸⫘⪎⋱⫍0=⪎⋱⫍199A","layer":0}]}
{"id":804,"expression_no_base_symbol":"$3049$⪢$1080$⨳⩥⨓$1451$⪘⫢$3282$","expression":"⪎⋱⫍1507⪢⪎⋱⫍651⨳⩥⨓⪎⋱⫍878⪘⫢⪎⋱⫍1656","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6022,"operation_count":3,"complexity_ratio":2007.3333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3049,"base":13},"right_expr":{"type":"numeric_atoms","value":1080,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1451,"base":13},"right_expr":{"type":"numeric_atoms","value":3282,"base":13}}},"used_operators":["nCS4ZIUYfx","dWAJyo7jo9","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3049","layer":2},{"info":"number node, value=1080","layer":2},{"info":"compute binary expreesion, left_input=3049, right_input=1080, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1451","layer":2},{"info":"number node, value=3282","layer":2},{"info":"compute binary expreesion, left_input=1451, right_input=3282, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2778, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1507⪢⪎⋱⫍651⨳⩥⨓⪎⋱⫍878⪘⫢⪎⋱⫍1656=NaN","reverse_text":"NaN=⪎⋱⫍1507⪢⪎⋱⫍651⨳⩥⨓⪎⋱⫍878⪘⫢⪎⋱⫍1656","cot":[{"info":"⪎⋱⫍1507⪢⪎⋱⫍651=NaN","layer":1},{"info":"⪎⋱⫍878⪘⫢⪎⋱⫍1656=⪎⋱⫍1359","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍1359=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"$1382$∀⇚≩$3959$⩨(+⊝⨔$2259$)","expression":"⪎⋱⫍824∀⇚≩⪎⋱⫍1A57⩨(+⊝⨔⪎⋱⫍104A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9718,"operation_count":3,"complexity_ratio":3239.3333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1382,"base":13},"right_expr":{"type":"numeric_atoms","value":3959,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2259,"base":13}}},"used_operators":["2DlMacCsIx","LRNGc0VcxI","DhbWaqg5eL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1382","layer":2},{"info":"number node, value=3959","layer":2},{"info":"compute binary expreesion, left_input=1382, right_input=3959, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2259","layer":2},{"info":"compute unary expreesion, input=2259, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"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":0}],"base":13,"result_base":13,"text":"⪎⋱⫍824∀⇚≩⪎⋱⫍1A57⩨(+⊝⨔⪎⋱⫍104A)=NaN","reverse_text":"NaN=⪎⋱⫍824∀⇚≩⪎⋱⫍1A57⩨(+⊝⨔⪎⋱⫍104A)","cot":[{"info":"⪎⋱⫍824∀⇚≩⪎⋱⫍1A57=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍104A=⪎⋱⫍901","layer":1},{"info":"NaN⩨⪎⋱⫍901=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"($2776$⋷$5073$)-$6418$⪄$1073$","expression":"(⪎⋱⫍1357⋷⪎⋱⫍2403)-⪎⋱⫍2BC9⪄⪎⋱⫍647","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2776,"base":13},"right_expr":{"type":"numeric_atoms","value":5073,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6418,"base":13},"right_expr":{"type":"numeric_atoms","value":1073,"base":13}}},"used_operators":["rysDP5nf3Z","23Mk6UjR3U","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍276B49","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2776","layer":2},{"info":"number node, value=5073","layer":2},{"info":"compute binary expreesion, left_input=2776, right_input=5073, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7370","layer":1},{"info":"number node, value=6418","layer":2},{"info":"number node, value=1073","layer":2},{"info":"compute binary expreesion, left_input=6418, right_input=1073, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-950245","layer":1},{"info":"compute binary expreesion, left_input=7370, right_input=-950245, op_id = rysDP5nf3Z binary_op_definition= 'None', output=957615","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1357⋷⪎⋱⫍2403)-⪎⋱⫍2BC9⪄⪎⋱⫍647=⪎⋱⫍276B49","reverse_text":"⪎⋱⫍276B49=(⪎⋱⫍1357⋷⪎⋱⫍2403)-⪎⋱⫍2BC9⪄⪎⋱⫍647","cot":[{"info":"⪎⋱⫍1357⋷⪎⋱⫍2403=⪎⋱⫍347C","layer":1},{"info":"⪎⋱⫍2BC9⪄⪎⋱⫍647=⪎⋱⫍-27369A","layer":1},{"info":"⪎⋱⫍347C-⪎⋱⫍-27369A=⪎⋱⫍276B49","layer":0}]}
{"id":807,"expression_no_base_symbol":"(↯⪼$1104$)↙(⫓⪴$2867$)","expression":"(↯⪼⪎⋱⫍66C)↙(⫓⪴⪎⋱⫍13C7)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2899,"operation_count":3,"complexity_ratio":966.3333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1104,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2867,"base":13}}},"used_operators":["yyfyN0ffXY","8jW3W4yZS5","eLxqMNBOBk"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":2},{"info":"compute unary expreesion, input=1104, 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=2867","layer":2},{"info":"compute unary expreesion, input=2867, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8219689","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=8219689, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍66C)↙(⫓⪴⪎⋱⫍13C7)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=(↯⪼⪎⋱⫍66C)↙(⫓⪴⪎⋱⫍13C7)","cot":[{"info":"↯⪼⪎⋱⫍66C=⪎⋱⫍-18","layer":1},{"info":"⫓⪴⪎⋱⫍13C7=⪎⋱⫍191A42A","layer":1},{"info":"⪎⋱⫍-18↙⪎⋱⫍191A42A=⪎⋱⫍-18","layer":0}]}
{"id":808,"expression_no_base_symbol":"$2268$⫥∨⫟$3812$⨐⩸⫘$3024$⨐⩸⫘$3776$","expression":"⪎⋱⫍1056⫥∨⫟⪎⋱⫍1973⨐⩸⫘⪎⋱⫍14B8⨐⩸⫘⪎⋱⫍1946","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2268,"base":13},"right_expr":{"type":"numeric_atoms","value":3812,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3024,"base":13},"right_expr":{"type":"numeric_atoms","value":3776,"base":13}}},"used_operators":["fu6greOZ01","KYD54nUTWz"],"dependent_operators":["3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2268","layer":2},{"info":"number node, value=3812","layer":2},{"info":"compute binary expreesion, left_input=2268, right_input=3812, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3024","layer":2},{"info":"number node, value=3776","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=3776, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1056⫥∨⫟⪎⋱⫍1973⨐⩸⫘⪎⋱⫍14B8⨐⩸⫘⪎⋱⫍1946=NaN","reverse_text":"NaN=⪎⋱⫍1056⫥∨⫟⪎⋱⫍1973⨐⩸⫘⪎⋱⫍14B8⨐⩸⫘⪎⋱⫍1946","cot":[{"info":"⪎⋱⫍1056⫥∨⫟⪎⋱⫍1973=NaN","layer":1},{"info":"⪎⋱⫍14B8⨐⩸⫘⪎⋱⫍1946=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"(⫓⪴$5235$)⋳⪒($5228$⋳⪒$1807$)","expression":"(⫓⪴⪎⋱⫍24C9)⋳⪒(⪎⋱⫍24C2⋳⪒⪎⋱⫍A90)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5249,"operation_count":3,"complexity_ratio":1749.6666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5235,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5228,"base":13},"right_expr":{"type":"numeric_atoms","value":1807,"base":13}}},"used_operators":["12rbrZMWeM","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"⪎⋱⫍B479C02","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5235","layer":2},{"info":"compute unary expreesion, input=5235, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=27405225","layer":1},{"info":"number node, value=5228","layer":2},{"info":"number node, value=1807","layer":2},{"info":"compute binary expreesion, left_input=5228, right_input=1807, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8362","layer":1},{"info":"compute binary expreesion, left_input=27405225, right_input=8362, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=54801801","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴⪎⋱⫍24C9)⋳⪒(⪎⋱⫍24C2⋳⪒⪎⋱⫍A90)=⪎⋱⫍B479C02","reverse_text":"⪎⋱⫍B479C02=(⫓⪴⪎⋱⫍24C9)⋳⪒(⪎⋱⫍24C2⋳⪒⪎⋱⫍A90)","cot":[{"info":"⫓⪴⪎⋱⫍24C9=⪎⋱⫍58A6C13","layer":1},{"info":"⪎⋱⫍24C2⋳⪒⪎⋱⫍A90=⪎⋱⫍3A63","layer":1},{"info":"⪎⋱⫍58A6C13⋳⪒⪎⋱⫍3A63=⪎⋱⫍B479C02","layer":0}]}
{"id":810,"expression_no_base_symbol":"$5692$⪛$5688$≧⫂∧(⩦⩻⨪$1641$)","expression":"⪎⋱⫍278B⪛⪎⋱⫍2787≧⫂∧(⩦⩻⨪⪎⋱⫍993)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5692,"base":13},"right_expr":{"type":"numeric_atoms","value":5688,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1641,"base":13}}},"used_operators":["Ph9nP6C5qx","uFcxV4UQCh","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍6BB","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5692","layer":2},{"info":"number node, value=5688","layer":2},{"info":"compute binary expreesion, left_input=5692, right_input=5688, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4","layer":1},{"info":"number node, value=1641","layer":2},{"info":"compute unary expreesion, input=1641, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1641","layer":1},{"info":"compute binary expreesion, left_input=4, right_input=1641, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1168","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍278B⪛⪎⋱⫍2787≧⫂∧(⩦⩻⨪⪎⋱⫍993)=⪎⋱⫍6BB","reverse_text":"⪎⋱⫍6BB=⪎⋱⫍278B⪛⪎⋱⫍2787≧⫂∧(⩦⩻⨪⪎⋱⫍993)","cot":[{"info":"⪎⋱⫍278B⪛⪎⋱⫍2787=⪎⋱⫍4","layer":1},{"info":"⩦⩻⨪⪎⋱⫍993=⪎⋱⫍993","layer":1},{"info":"⪎⋱⫍4≧⫂∧⪎⋱⫍993=⪎⋱⫍6BB","layer":0}]}
{"id":811,"expression_no_base_symbol":"$5771$⊭↱$2788$⩨$4343$⇷$1022$","expression":"⪎⋱⫍281C⊭↱⪎⋱⫍1366⩨⪎⋱⫍1C91⇷⪎⋱⫍608","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60818,"operation_count":3,"complexity_ratio":20272.666666666668,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5771,"base":13},"right_expr":{"type":"numeric_atoms","value":2788,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4343,"base":13},"right_expr":{"type":"numeric_atoms","value":1022,"base":13}}},"used_operators":["2DlMacCsIx","COABgblf1C","mp7IySMOzn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5771","layer":2},{"info":"number node, value=2788","layer":2},{"info":"compute binary expreesion, left_input=5771, right_input=2788, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5961","layer":1},{"info":"number node, value=4343","layer":2},{"info":"number node, value=1022","layer":2},{"info":"compute binary expreesion, left_input=4343, right_input=1022, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2044","layer":1},{"info":"compute binary expreesion, left_input=-5961, right_input=2044, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍281C⊭↱⪎⋱⫍1366⩨⪎⋱⫍1C91⇷⪎⋱⫍608=⪎⋱⫍3","reverse_text":"⪎⋱⫍3=⪎⋱⫍281C⊭↱⪎⋱⫍1366⩨⪎⋱⫍1C91⇷⪎⋱⫍608","cot":[{"info":"⪎⋱⫍281C⊭↱⪎⋱⫍1366=⪎⋱⫍-2937","layer":1},{"info":"⪎⋱⫍1C91⇷⪎⋱⫍608=⪎⋱⫍C13","layer":1},{"info":"⪎⋱⫍-2937⩨⪎⋱⫍C13=⪎⋱⫍3","layer":0}]}
{"id":812,"expression_no_base_symbol":"($1156$⨽$1024$)≭($5281$⋫)","expression":"(⪎⋱⫍6AC⨽⪎⋱⫍60A)≭(⪎⋱⫍2533⋫)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6447,"operation_count":3,"complexity_ratio":2149.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1156,"base":13},"right_expr":{"type":"numeric_atoms","value":1024,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5281,"base":13}}},"used_operators":["rxpJgHHUmx","8HhzD0ZcuI","JL8yIekQnl"],"dependent_operators":["AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":2},{"info":"number node, value=1024","layer":2},{"info":"compute binary expreesion, left_input=1156, right_input=1024, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4010766","layer":1},{"info":"number node, value=5281","layer":2},{"info":"compute unary expreesion, input=5281, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5281","layer":1},{"info":"compute binary expreesion, left_input=-4010766, right_input=5281, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍6AC⨽⪎⋱⫍60A)≭(⪎⋱⫍2533⋫)=NaN","reverse_text":"NaN=(⪎⋱⫍6AC⨽⪎⋱⫍60A)≭(⪎⋱⫍2533⋫)","cot":[{"info":"⪎⋱⫍6AC⨽⪎⋱⫍60A=⪎⋱⫍-AA5746","layer":1},{"info":"⪎⋱⫍2533⋫=⪎⋱⫍2533","layer":1},{"info":"⪎⋱⫍-AA5746≭⪎⋱⫍2533=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"($2908$⋷$4157$)∧","expression":"(⪎⋱⫍1429⋷⪎⋱⫍1B7A)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2908,"base":13},"right_expr":{"type":"numeric_atoms","value":4157,"base":13}}},"used_operators":["z63VuFQld9","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2908","layer":2},{"info":"number node, value=4157","layer":2},{"info":"compute binary expreesion, left_input=2908, right_input=4157, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5406","layer":1},{"info":"compute unary expreesion, input=5406, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1429⋷⪎⋱⫍1B7A)∧=NaN","reverse_text":"NaN=(⪎⋱⫍1429⋷⪎⋱⫍1B7A)∧","cot":[{"info":"⪎⋱⫍1429⋷⪎⋱⫍1B7A=⪎⋱⫍25CB","layer":1},{"info":"⪎⋱⫍25CB∧=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"$1526$⋝⋈⪟$4931$⨐⩸⫘($2754$⪨≂$2728$)","expression":"⪎⋱⫍905⋝⋈⪟⪎⋱⫍2324⨐⩸⫘(⪎⋱⫍133B⪨≂⪎⋱⫍131B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24648,"operation_count":3,"complexity_ratio":8216.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1526,"base":13},"right_expr":{"type":"numeric_atoms","value":4931,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2754,"base":13},"right_expr":{"type":"numeric_atoms","value":2728,"base":13}}},"used_operators":["fu6greOZ01","2DDjHMKMc0","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-C1","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1526","layer":2},{"info":"number node, value=4931","layer":2},{"info":"compute binary expreesion, left_input=1526, right_input=4931, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1526","layer":1},{"info":"number node, value=2754","layer":2},{"info":"number node, value=2728","layer":2},{"info":"compute binary expreesion, left_input=2754, right_input=2728, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=154","layer":1},{"info":"compute binary expreesion, left_input=1526, right_input=154, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-157","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍905⋝⋈⪟⪎⋱⫍2324⨐⩸⫘(⪎⋱⫍133B⪨≂⪎⋱⫍131B)=⪎⋱⫍-C1","reverse_text":"⪎⋱⫍-C1=⪎⋱⫍905⋝⋈⪟⪎⋱⫍2324⨐⩸⫘(⪎⋱⫍133B⪨≂⪎⋱⫍131B)","cot":[{"info":"⪎⋱⫍905⋝⋈⪟⪎⋱⫍2324=⪎⋱⫍905","layer":1},{"info":"⪎⋱⫍133B⪨≂⪎⋱⫍131B=⪎⋱⫍BB","layer":1},{"info":"⪎⋱⫍905⨐⩸⫘⪎⋱⫍BB=⪎⋱⫍-C1","layer":0}]}
{"id":815,"expression_no_base_symbol":"($5468$⇼⇔∾$3121$)⪄(≉$5851$)","expression":"(⪎⋱⫍2648⇼⇔∾⪎⋱⫍1561)⪄(≉⪎⋱⫍2881)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5468,"base":13},"right_expr":{"type":"numeric_atoms","value":3121,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5851,"base":13}}},"used_operators":["SUmda5xLS4","tifHPKVTfV","e1ybzncUwg"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5468","layer":2},{"info":"number node, value=3121","layer":2},{"info":"compute binary expreesion, left_input=5468, right_input=3121, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2347","layer":1},{"info":"number node, value=5851","layer":2},{"info":"compute unary expreesion, input=5851, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6382","layer":1},{"info":"compute binary expreesion, left_input=-2347, right_input=6382, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2648⇼⇔∾⪎⋱⫍1561)⪄(≉⪎⋱⫍2881)=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=(⪎⋱⫍2648⇼⇔∾⪎⋱⫍1561)⪄(≉⪎⋱⫍2881)","cot":[{"info":"⪎⋱⫍2648⇼⇔∾⪎⋱⫍1561=⪎⋱⫍-10B7","layer":1},{"info":"≉⪎⋱⫍2881=⪎⋱⫍2B9C","layer":1},{"info":"⪎⋱⫍-10B7⪄⪎⋱⫍2B9C=⪎⋱⫍1A71","layer":0}]}
{"id":816,"expression_no_base_symbol":"(↽≂$3026$)⊭↱($2006$⩤)","expression":"(↽≂⪎⋱⫍14BA)⊭↱(⪎⋱⫍BB4⩤)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3026,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2006,"base":13}}},"used_operators":["COABgblf1C","u6S6b8DprG","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍38BB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3026","layer":2},{"info":"compute unary expreesion, input=3026, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6052","layer":1},{"info":"number node, value=2006","layer":2},{"info":"compute unary expreesion, input=2006, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2006","layer":1},{"info":"compute binary expreesion, left_input=-6052, right_input=-2006, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8097","layer":0}],"base":13,"result_base":13,"text":"(↽≂⪎⋱⫍14BA)⊭↱(⪎⋱⫍BB4⩤)=⪎⋱⫍38BB","reverse_text":"⪎⋱⫍38BB=(↽≂⪎⋱⫍14BA)⊭↱(⪎⋱⫍BB4⩤)","cot":[{"info":"↽≂⪎⋱⫍14BA=⪎⋱⫍-29A7","layer":1},{"info":"⪎⋱⫍BB4⩤=⪎⋱⫍-BB4","layer":1},{"info":"⪎⋱⫍-29A7⊭↱⪎⋱⫍-BB4=⪎⋱⫍38BB","layer":0}]}
{"id":817,"expression_no_base_symbol":"$1738$≧⫂∧$2881$⩚⊴⇥($4398$⩨$6592$)","expression":"⪎⋱⫍A39≧⫂∧⪎⋱⫍1408⩚⊴⇥(⪎⋱⫍2004⩨⪎⋱⫍3001)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1738,"base":13},"right_expr":{"type":"numeric_atoms","value":2881,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4398,"base":13},"right_expr":{"type":"numeric_atoms","value":6592,"base":13}}},"used_operators":["NTOWxs364D","Ph9nP6C5qx","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-11C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1738","layer":2},{"info":"number node, value=2881","layer":2},{"info":"compute binary expreesion, left_input=1738, right_input=2881, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2408","layer":1},{"info":"number node, value=4398","layer":2},{"info":"number node, value=6592","layer":2},{"info":"compute binary expreesion, left_input=4398, right_input=6592, 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=2408, right_input=-3, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2526","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A39≧⫂∧⪎⋱⫍1408⩚⊴⇥(⪎⋱⫍2004⩨⪎⋱⫍3001)=⪎⋱⫍-11C4","reverse_text":"⪎⋱⫍-11C4=⪎⋱⫍A39≧⫂∧⪎⋱⫍1408⩚⊴⇥(⪎⋱⫍2004⩨⪎⋱⫍3001)","cot":[{"info":"⪎⋱⫍A39≧⫂∧⪎⋱⫍1408=⪎⋱⫍1133","layer":1},{"info":"⪎⋱⫍2004⩨⪎⋱⫍3001=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍1133⩚⊴⇥⪎⋱⫍-3=⪎⋱⫍-11C4","layer":0}]}
{"id":818,"expression_no_base_symbol":"(⨞⊢$6363$)∑⇟⊟($3231$⫸⊐$5504$)","expression":"(⨞⊢⪎⋱⫍2B86)∑⇟⊟(⪎⋱⫍1617⫸⊐⪎⋱⫍2675)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6363,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3231,"base":13},"right_expr":{"type":"numeric_atoms","value":5504,"base":13}}},"used_operators":["U7g4x0WXJJ","xUOZtlo3hN","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":2},{"info":"compute unary expreesion, input=6363, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6537","layer":1},{"info":"number node, value=3231","layer":2},{"info":"number node, value=5504","layer":2},{"info":"compute binary expreesion, left_input=3231, right_input=5504, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21891","layer":1},{"info":"compute binary expreesion, left_input=-6537, right_input=21891, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍2B86)∑⇟⊟(⪎⋱⫍1617⫸⊐⪎⋱⫍2675)=NaN","reverse_text":"NaN=(⨞⊢⪎⋱⫍2B86)∑⇟⊟(⪎⋱⫍1617⫸⊐⪎⋱⫍2675)","cot":[{"info":"⨞⊢⪎⋱⫍2B86=⪎⋱⫍-2C8B","layer":1},{"info":"⪎⋱⫍1617⫸⊐⪎⋱⫍2675=⪎⋱⫍9C6C","layer":1},{"info":"⪎⋱⫍-2C8B∑⇟⊟⪎⋱⫍9C6C=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"($1617$⨎$7590$)⨪↰⇹($1470$⪒$5426$)","expression":"(⪎⋱⫍975⨎⪎⋱⫍35BB)⨪↰⇹(⪎⋱⫍891⪒⪎⋱⫍2615)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7594,"operation_count":3,"complexity_ratio":2531.3333333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1617,"base":13},"right_expr":{"type":"numeric_atoms","value":7590,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":5426,"base":13}}},"used_operators":["tmPS8pqC7x","rJVOvQCfKK","f6k1SAg4EE"],"dependent_operators":["rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍35BB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1617","layer":2},{"info":"number node, value=7590","layer":2},{"info":"compute binary expreesion, left_input=1617, right_input=7590, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7590","layer":1},{"info":"number node, value=1470","layer":2},{"info":"number node, value=5426","layer":2},{"info":"compute binary expreesion, left_input=1470, right_input=5426, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6896","layer":1},{"info":"compute binary expreesion, left_input=7590, right_input=-6896, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7590","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍975⨎⪎⋱⫍35BB)⨪↰⇹(⪎⋱⫍891⪒⪎⋱⫍2615)=⪎⋱⫍35BB","reverse_text":"⪎⋱⫍35BB=(⪎⋱⫍975⨎⪎⋱⫍35BB)⨪↰⇹(⪎⋱⫍891⪒⪎⋱⫍2615)","cot":[{"info":"⪎⋱⫍975⨎⪎⋱⫍35BB=⪎⋱⫍35BB","layer":1},{"info":"⪎⋱⫍891⪒⪎⋱⫍2615=⪎⋱⫍-31A6","layer":1},{"info":"⪎⋱⫍35BB⨪↰⇹⪎⋱⫍-31A6=⪎⋱⫍35BB","layer":0}]}
{"id":820,"expression_no_base_symbol":"($5080$⨵⪆$1484$)∼($2859$⨳⩥⨓$5456$)","expression":"(⪎⋱⫍240A⨵⪆⪎⋱⫍8A2)∼(⪎⋱⫍13BC⨳⩥⨓⪎⋱⫍2639)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5080,"base":13},"right_expr":{"type":"numeric_atoms","value":1484,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2859,"base":13},"right_expr":{"type":"numeric_atoms","value":5456,"base":13}}},"used_operators":["DyGG3AbaNP","2DQ55sFlQl","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5080","layer":2},{"info":"number node, value=1484","layer":2},{"info":"compute binary expreesion, left_input=5080, right_input=1484, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2859","layer":2},{"info":"number node, value=5456","layer":2},{"info":"compute binary expreesion, left_input=2859, right_input=5456, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2597","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2597, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍240A⨵⪆⪎⋱⫍8A2)∼(⪎⋱⫍13BC⨳⩥⨓⪎⋱⫍2639)=NaN","reverse_text":"NaN=(⪎⋱⫍240A⨵⪆⪎⋱⫍8A2)∼(⪎⋱⫍13BC⨳⩥⨓⪎⋱⫍2639)","cot":[{"info":"⪎⋱⫍240A⨵⪆⪎⋱⫍8A2=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍13BC⨳⩥⨓⪎⋱⫍2639=⪎⋱⫍124A","layer":1},{"info":"⪎⋱⫍C4∼⪎⋱⫍124A=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"⊥$1223$⪮%⊝$1887$","expression":"⊥⪎⋱⫍731⪮%⊝⪎⋱⫍B22","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1223,"base":13},"right_expr":{"type":"numeric_atoms","value":1887,"base":13}}},"used_operators":["Q3PJZHRvZv","IWmyXbctLI"],"dependent_operators":["fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1223","layer":2},{"info":"number node, value=1887","layer":2},{"info":"compute binary expreesion, left_input=1223, right_input=1887, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2762","layer":1},{"info":"compute unary expreesion, input=2762, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥⪎⋱⫍731⪮%⊝⪎⋱⫍B22=NaN","reverse_text":"NaN=⊥⪎⋱⫍731⪮%⊝⪎⋱⫍B22","cot":[{"info":"⪎⋱⫍731⪮%⊝⪎⋱⫍B22=⪎⋱⫍1346","layer":1},{"info":"⊥⪎⋱⫍1346=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"(⨵≀≌$6206$)⊪","expression":"(⨵≀≌⪎⋱⫍2A95)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55874,"operation_count":2,"complexity_ratio":27937.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6206,"base":13}}},"used_operators":["zVYPLywUTj","srAu1WTS94"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6206","layer":2},{"info":"compute unary expreesion, input=6206, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18618","layer":1},{"info":"compute unary expreesion, input=-18618, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=inf","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍2A95)⊪=Inf","reverse_text":"Inf=(⨵≀≌⪎⋱⫍2A95)⊪","cot":[{"info":"⨵≀≌⪎⋱⫍2A95=⪎⋱⫍-8622","layer":1},{"info":"⪎⋱⫍-8622⊪=Inf","layer":0}]}
{"id":823,"expression_no_base_symbol":"↩($1240$+$2316$)","expression":"↩(⪎⋱⫍745+⪎⋱⫍1092)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1240,"base":13},"right_expr":{"type":"numeric_atoms","value":2316,"base":13}}},"used_operators":["jLgFTUHLKL","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-B8B6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":2},{"info":"number node, value=2316","layer":2},{"info":"compute binary expreesion, left_input=1240, right_input=2316, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3556","layer":1},{"info":"compute unary expreesion, input=3556, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25668","layer":0}],"base":13,"result_base":13,"text":"↩(⪎⋱⫍745+⪎⋱⫍1092)=⪎⋱⫍-B8B6","reverse_text":"⪎⋱⫍-B8B6=↩(⪎⋱⫍745+⪎⋱⫍1092)","cot":[{"info":"⪎⋱⫍745+⪎⋱⫍1092=⪎⋱⫍1807","layer":1},{"info":"↩⪎⋱⫍1807=⪎⋱⫍-B8B6","layer":0}]}
{"id":824,"expression_no_base_symbol":"≤/($1342$⫡⨏$1568$)","expression":"≤/(⪎⋱⫍7C3⫡⨏⪎⋱⫍938)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1342,"base":13},"right_expr":{"type":"numeric_atoms","value":1568,"base":13}}},"used_operators":["eLAdDNolq6","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-4805","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":2},{"info":"number node, value=1568","layer":2},{"info":"compute binary expreesion, left_input=1342, right_input=1568, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10629","layer":1},{"info":"compute unary expreesion, input=10629, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-10145","layer":0}],"base":13,"result_base":13,"text":"≤/(⪎⋱⫍7C3⫡⨏⪎⋱⫍938)=⪎⋱⫍-4805","reverse_text":"⪎⋱⫍-4805=≤/(⪎⋱⫍7C3⫡⨏⪎⋱⫍938)","cot":[{"info":"⪎⋱⫍7C3⫡⨏⪎⋱⫍938=⪎⋱⫍4AB8","layer":1},{"info":"≤/⪎⋱⫍4AB8=⪎⋱⫍-4805","layer":0}]}
{"id":825,"expression_no_base_symbol":"(∥⊫$2240$)⪢($2884$↺$2756$)","expression":"(∥⊫⪎⋱⫍1034)⪢(⪎⋱⫍140B↺⪎⋱⫍1340)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3986,"operation_count":3,"complexity_ratio":1328.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2240,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2884,"base":13},"right_expr":{"type":"numeric_atoms","value":2756,"base":13}}},"used_operators":["dWAJyo7jo9","P8v4zCKN1o","7j4O788W3g"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2240","layer":2},{"info":"compute unary expreesion, input=2240, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3108","layer":1},{"info":"number node, value=2884","layer":2},{"info":"number node, value=2756","layer":2},{"info":"compute binary expreesion, left_input=2884, right_input=2756, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2756","layer":1},{"info":"compute binary expreesion, left_input=3108, right_input=2756, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(∥⊫⪎⋱⫍1034)⪢(⪎⋱⫍140B↺⪎⋱⫍1340)=NaN","reverse_text":"NaN=(∥⊫⪎⋱⫍1034)⪢(⪎⋱⫍140B↺⪎⋱⫍1340)","cot":[{"info":"∥⊫⪎⋱⫍1034=⪎⋱⫍1551","layer":1},{"info":"⪎⋱⫍140B↺⪎⋱⫍1340=⪎⋱⫍1340","layer":1},{"info":"⪎⋱⫍1551⪢⪎⋱⫍1340=NaN","layer":0}]}
{"id":826,"expression_no_base_symbol":"(⫛⫱⨽$3065$)↬($3353$+⇶⊼$4001$)","expression":"(⫛⫱⨽⪎⋱⫍151A)↬(⪎⋱⫍16AC+⇶⊼⪎⋱⫍1A8A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1424,"operation_count":3,"complexity_ratio":474.6666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3065,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3353,"base":13},"right_expr":{"type":"numeric_atoms","value":4001,"base":13}}},"used_operators":["B5M0gjZbta","DlLNRPXxWL","TpPTUOHfaN"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3065","layer":2},{"info":"compute unary expreesion, input=3065, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3353","layer":2},{"info":"number node, value=4001","layer":2},{"info":"compute binary expreesion, left_input=3353, right_input=4001, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍151A)↬(⪎⋱⫍16AC+⇶⊼⪎⋱⫍1A8A)=NaN","reverse_text":"NaN=(⫛⫱⨽⪎⋱⫍151A)↬(⪎⋱⫍16AC+⇶⊼⪎⋱⫍1A8A)","cot":[{"info":"⫛⫱⨽⪎⋱⫍151A=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍16AC+⇶⊼⪎⋱⫍1A8A=NaN","layer":1},{"info":"⪎⋱⫍0↬NaN=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"($3434$⊭↱$6493$)⇷($3677$-$1629$)","expression":"(⪎⋱⫍1742⊭↱⪎⋱⫍2C56)⇷(⪎⋱⫍189B-⪎⋱⫍984)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85735,"operation_count":3,"complexity_ratio":28578.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3434,"base":13},"right_expr":{"type":"numeric_atoms","value":6493,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3677,"base":13},"right_expr":{"type":"numeric_atoms","value":1629,"base":13}}},"used_operators":["mp7IySMOzn","COABgblf1C","rysDP5nf3Z"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1B31","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3434","layer":2},{"info":"number node, value=6493","layer":2},{"info":"compute binary expreesion, left_input=3434, right_input=6493, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6123","layer":1},{"info":"number node, value=3677","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=3677, right_input=1629, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2048","layer":1},{"info":"compute binary expreesion, left_input=6123, right_input=2048, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4096","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1742⊭↱⪎⋱⫍2C56)⇷(⪎⋱⫍189B-⪎⋱⫍984)=⪎⋱⫍1B31","reverse_text":"⪎⋱⫍1B31=(⪎⋱⫍1742⊭↱⪎⋱⫍2C56)⇷(⪎⋱⫍189B-⪎⋱⫍984)","cot":[{"info":"⪎⋱⫍1742⊭↱⪎⋱⫍2C56=⪎⋱⫍2A30","layer":1},{"info":"⪎⋱⫍189B-⪎⋱⫍984=⪎⋱⫍C17","layer":1},{"info":"⪎⋱⫍2A30⇷⪎⋱⫍C17=⪎⋱⫍1B31","layer":0}]}
{"id":828,"expression_no_base_symbol":"$1070$⊭↱$3314$⪨≂$3786$⇷$1448$","expression":"⪎⋱⫍644⊭↱⪎⋱⫍167C⪨≂⪎⋱⫍1953⇷⪎⋱⫍875","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53021,"operation_count":3,"complexity_ratio":17673.666666666668,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1070,"base":13},"right_expr":{"type":"numeric_atoms","value":3314,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3786,"base":13},"right_expr":{"type":"numeric_atoms","value":1448,"base":13}}},"used_operators":["sdazOOVcIp","COABgblf1C","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍1667","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1070","layer":2},{"info":"number node, value=3314","layer":2},{"info":"compute binary expreesion, left_input=1070, right_input=3314, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4493","layer":1},{"info":"number node, value=3786","layer":2},{"info":"number node, value=1448","layer":2},{"info":"compute binary expreesion, left_input=3786, right_input=1448, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2896","layer":1},{"info":"compute binary expreesion, left_input=4493, right_input=2896, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3296","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍644⊭↱⪎⋱⫍167C⪨≂⪎⋱⫍1953⇷⪎⋱⫍875=⪎⋱⫍1667","reverse_text":"⪎⋱⫍1667=⪎⋱⫍644⊭↱⪎⋱⫍167C⪨≂⪎⋱⫍1953⇷⪎⋱⫍875","cot":[{"info":"⪎⋱⫍644⊭↱⪎⋱⫍167C=⪎⋱⫍2078","layer":1},{"info":"⪎⋱⫍1953⇷⪎⋱⫍875=⪎⋱⫍141A","layer":1},{"info":"⪎⋱⫍2078⪨≂⪎⋱⫍141A=⪎⋱⫍1667","layer":0}]}
{"id":829,"expression_no_base_symbol":"∥⊫(⨰⫟⨤$6351$)","expression":"∥⊫(⨰⫟⨤⪎⋱⫍2B77)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24567,"operation_count":2,"complexity_ratio":12283.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6351,"base":13}}},"used_operators":["P8v4zCKN1o","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6351","layer":2},{"info":"compute unary expreesion, input=6351, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⨰⫟⨤⪎⋱⫍2B77)=NaN","reverse_text":"NaN=∥⊫(⨰⫟⨤⪎⋱⫍2B77)","cot":[{"info":"⨰⫟⨤⪎⋱⫍2B77=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"($1955$⨸⪁$1582$)≎⊠⪸($6670$⨸⪁$2639$)","expression":"(⪎⋱⫍B75⨸⪁⪎⋱⫍949)≎⊠⪸(⪎⋱⫍3061⨸⪁⪎⋱⫍1280)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":276,"operation_count":3,"complexity_ratio":92.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1955,"base":13},"right_expr":{"type":"numeric_atoms","value":1582,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6670,"base":13},"right_expr":{"type":"numeric_atoms","value":2639,"base":13}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"⪎⋱⫍4C1956","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1955","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=1955, right_input=1582, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7074","layer":1},{"info":"number node, value=6670","layer":2},{"info":"number node, value=2639","layer":2},{"info":"compute binary expreesion, left_input=6670, right_input=2639, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18618","layer":1},{"info":"compute binary expreesion, left_input=7074, right_input=18618, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1831693","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B75⨸⪁⪎⋱⫍949)≎⊠⪸(⪎⋱⫍3061⨸⪁⪎⋱⫍1280)=⪎⋱⫍4C1956","reverse_text":"⪎⋱⫍4C1956=(⪎⋱⫍B75⨸⪁⪎⋱⫍949)≎⊠⪸(⪎⋱⫍3061⨸⪁⪎⋱⫍1280)","cot":[{"info":"⪎⋱⫍B75⨸⪁⪎⋱⫍949=⪎⋱⫍32B2","layer":1},{"info":"⪎⋱⫍3061⨸⪁⪎⋱⫍1280=⪎⋱⫍8622","layer":1},{"info":"⪎⋱⫍32B2≎⊠⪸⪎⋱⫍8622=⪎⋱⫍4C1956","layer":0}]}
{"id":831,"expression_no_base_symbol":"($4111$⨸⪁$3249$)⋓($6899$↙$2415$)","expression":"(⪎⋱⫍1B43⨸⪁⪎⋱⫍162C)⋓(⪎⋱⫍31A9↙⪎⋱⫍113A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2434,"operation_count":3,"complexity_ratio":811.3333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4111,"base":13},"right_expr":{"type":"numeric_atoms","value":3249,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6899,"base":13},"right_expr":{"type":"numeric_atoms","value":2415,"base":13}}},"used_operators":["T2fj7uvVaJ","g55IO6H4Gj","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4111","layer":2},{"info":"number node, value=3249","layer":2},{"info":"compute binary expreesion, left_input=4111, right_input=3249, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14720","layer":1},{"info":"number node, value=6899","layer":2},{"info":"number node, value=2415","layer":2},{"info":"compute binary expreesion, left_input=6899, right_input=2415, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7245","layer":1},{"info":"compute binary expreesion, left_input=14720, right_input=-7245, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(⪎⋱⫍1B43⨸⪁⪎⋱⫍162C)⋓(⪎⋱⫍31A9↙⪎⋱⫍113A)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1B43⨸⪁⪎⋱⫍162C)⋓(⪎⋱⫍31A9↙⪎⋱⫍113A)","cot":[{"info":"⪎⋱⫍1B43⨸⪁⪎⋱⫍162C=⪎⋱⫍6914","layer":1},{"info":"⪎⋱⫍31A9↙⪎⋱⫍113A=⪎⋱⫍-33B4","layer":1},{"info":"⪎⋱⫍6914⋓⪎⋱⫍-33B4=⪎⋱⫍0","layer":0}]}
{"id":832,"expression_no_base_symbol":"∂(≤/$1253$)","expression":"∂(≤/⪎⋱⫍755)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":418,"operation_count":2,"complexity_ratio":209.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1253,"base":13}}},"used_operators":["Uaa54Peajs","eLAdDNolq6"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"⪎⋱⫍2CB","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":2},{"info":"compute unary expreesion, input=1253, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-769","layer":1},{"info":"compute unary expreesion, input=-769, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=505","layer":0}],"base":13,"result_base":13,"text":"∂(≤/⪎⋱⫍755)=⪎⋱⫍2CB","reverse_text":"⪎⋱⫍2CB=∂(≤/⪎⋱⫍755)","cot":[{"info":"≤/⪎⋱⫍755=⪎⋱⫍-472","layer":1},{"info":"∂⪎⋱⫍-472=⪎⋱⫍2CB","layer":0}]}
{"id":833,"expression_no_base_symbol":"$7912$⪮%⊝$3272$⨪↰⇹($1416$⩚⊴⇥$4167$)","expression":"⪎⋱⫍37A8⪮%⊝⪎⋱⫍1649⨪↰⇹(⪎⋱⫍84C⩚⊴⇥⪎⋱⫍1B87)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16152,"operation_count":3,"complexity_ratio":5384.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7912,"base":13},"right_expr":{"type":"numeric_atoms","value":3272,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1416,"base":13},"right_expr":{"type":"numeric_atoms","value":4167,"base":13}}},"used_operators":["tmPS8pqC7x","IWmyXbctLI","NTOWxs364D"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍7467","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7912","layer":2},{"info":"number node, value=3272","layer":2},{"info":"compute binary expreesion, left_input=7912, right_input=3272, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16140","layer":1},{"info":"number node, value=1416","layer":2},{"info":"number node, value=4167","layer":2},{"info":"compute binary expreesion, left_input=1416, right_input=4167, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5704","layer":1},{"info":"compute binary expreesion, left_input=16140, right_input=-5704, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=16140","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍37A8⪮%⊝⪎⋱⫍1649⨪↰⇹(⪎⋱⫍84C⩚⊴⇥⪎⋱⫍1B87)=⪎⋱⫍7467","reverse_text":"⪎⋱⫍7467=⪎⋱⫍37A8⪮%⊝⪎⋱⫍1649⨪↰⇹(⪎⋱⫍84C⩚⊴⇥⪎⋱⫍1B87)","cot":[{"info":"⪎⋱⫍37A8⪮%⊝⪎⋱⫍1649=⪎⋱⫍7467","layer":1},{"info":"⪎⋱⫍84C⩚⊴⇥⪎⋱⫍1B87=⪎⋱⫍-279A","layer":1},{"info":"⪎⋱⫍7467⨪↰⇹⪎⋱⫍-279A=⪎⋱⫍7467","layer":0}]}
{"id":834,"expression_no_base_symbol":"$1626$⨎$3886$⫡⨏$4143$⨟⋌⩍$4090$","expression":"⪎⋱⫍981⨎⪎⋱⫍19CC⫡⨏⪎⋱⫍1B69⨟⋌⩍⪎⋱⫍1B28","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1626,"base":13},"right_expr":{"type":"numeric_atoms","value":3886,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4143,"base":13},"right_expr":{"type":"numeric_atoms","value":4090,"base":13}}},"used_operators":["QMFrweE19q","rJVOvQCfKK","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1626","layer":2},{"info":"number node, value=3886","layer":2},{"info":"compute binary expreesion, left_input=1626, right_input=3886, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3886","layer":1},{"info":"number node, value=4143","layer":2},{"info":"number node, value=4090","layer":2},{"info":"compute binary expreesion, left_input=4143, right_input=4090, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3886, 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":13,"result_base":13,"text":"⪎⋱⫍981⨎⪎⋱⫍19CC⫡⨏⪎⋱⫍1B69⨟⋌⩍⪎⋱⫍1B28=NaN","reverse_text":"NaN=⪎⋱⫍981⨎⪎⋱⫍19CC⫡⨏⪎⋱⫍1B69⨟⋌⩍⪎⋱⫍1B28","cot":[{"info":"⪎⋱⫍981⨎⪎⋱⫍19CC=⪎⋱⫍19CC","layer":1},{"info":"⪎⋱⫍1B69⨟⋌⩍⪎⋱⫍1B28=NaN","layer":1},{"info":"⪎⋱⫍19CC⫡⨏NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"⇁⨣⪵($1263$+$5828$)","expression":"⇁⨣⪵(⪎⋱⫍762+⪎⋱⫍2864)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1263,"base":13},"right_expr":{"type":"numeric_atoms","value":5828,"base":13}}},"used_operators":["inkyxCbjAn","W4YGzv6Whe"],"dependent_operators":["B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1263","layer":2},{"info":"number node, value=5828","layer":2},{"info":"compute binary expreesion, left_input=1263, right_input=5828, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7091","layer":1},{"info":"compute unary expreesion, input=7091, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍762+⪎⋱⫍2864)=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍762+⪎⋱⫍2864)","cot":[{"info":"⪎⋱⫍762+⪎⋱⫍2864=⪎⋱⫍32C6","layer":1},{"info":"⇁⨣⪵⪎⋱⫍32C6=NaN","layer":0}]}
{"id":836,"expression_no_base_symbol":"$3675$∼$1880$%$3947$⨐⩸⫘$5800$","expression":"⪎⋱⫍1899∼⪎⋱⫍B18%⪎⋱⫍1A48⨐⩸⫘⪎⋱⫍2842","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3675,"base":13},"right_expr":{"type":"numeric_atoms","value":1880,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3947,"base":13},"right_expr":{"type":"numeric_atoms","value":5800,"base":13}}},"used_operators":["k8jYdgA6NY","DyGG3AbaNP","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3675","layer":2},{"info":"number node, value=1880","layer":2},{"info":"compute binary expreesion, left_input=3675, right_input=1880, 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=3947","layer":2},{"info":"number node, value=5800","layer":2},{"info":"compute binary expreesion, left_input=3947, right_input=5800, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1899∼⪎⋱⫍B18%⪎⋱⫍1A48⨐⩸⫘⪎⋱⫍2842=NaN","reverse_text":"NaN=⪎⋱⫍1899∼⪎⋱⫍B18%⪎⋱⫍1A48⨐⩸⫘⪎⋱⫍2842","cot":[{"info":"⪎⋱⫍1899∼⪎⋱⫍B18=NaN","layer":1},{"info":"⪎⋱⫍1A48⨐⩸⫘⪎⋱⫍2842=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"($2233$*$8029$)⪄($3437$⇼⇔∾$1304$)","expression":"(⪎⋱⫍102A*⪎⋱⫍3868)⪄(⪎⋱⫍1745⇼⇔∾⪎⋱⫍794)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2329,"operation_count":3,"complexity_ratio":776.3333333333334,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2233,"base":13},"right_expr":{"type":"numeric_atoms","value":8029,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3437,"base":13},"right_expr":{"type":"numeric_atoms","value":1304,"base":13}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","tifHPKVTfV"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2233","layer":2},{"info":"number node, value=8029","layer":2},{"info":"compute binary expreesion, left_input=2233, right_input=8029, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17928757","layer":1},{"info":"number node, value=3437","layer":2},{"info":"number node, value=1304","layer":2},{"info":"compute binary expreesion, left_input=3437, right_input=1304, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2133","layer":1},{"info":"compute binary expreesion, left_input=17928757, right_input=-2133, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍102A*⪎⋱⫍3868)⪄(⪎⋱⫍1745⇼⇔∾⪎⋱⫍794)=-Inf","reverse_text":"-Inf=(⪎⋱⫍102A*⪎⋱⫍3868)⪄(⪎⋱⫍1745⇼⇔∾⪎⋱⫍794)","cot":[{"info":"⪎⋱⫍102A*⪎⋱⫍3868=⪎⋱⫍3939742","layer":1},{"info":"⪎⋱⫍1745⇼⇔∾⪎⋱⫍794=⪎⋱⫍-C81","layer":1},{"info":"⪎⋱⫍3939742⪄⪎⋱⫍-C81=-Inf","layer":0}]}
{"id":838,"expression_no_base_symbol":"($1030$⊦⊿)⩠","expression":"(⪎⋱⫍613⊦⊿)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1030,"base":13}}},"used_operators":["sJAwomhLZr","14qkJME0vr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍5B32","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"compute unary expreesion, input=1030, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3169","layer":1},{"info":"compute unary expreesion, input=-3169, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12885","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍613⊦⊿)⩠=⪎⋱⫍5B32","reverse_text":"⪎⋱⫍5B32=(⪎⋱⫍613⊦⊿)⩠","cot":[{"info":"⪎⋱⫍613⊦⊿=⪎⋱⫍-159A","layer":1},{"info":"⪎⋱⫍-159A⩠=⪎⋱⫍5B32","layer":0}]}
{"id":839,"expression_no_base_symbol":"($1004$⋫)⩷∴($5365$⩷∴$2872$)","expression":"(⪎⋱⫍5C3⋫)⩷∴(⪎⋱⫍2599⩷∴⪎⋱⫍13CC)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1016,"operation_count":3,"complexity_ratio":338.6666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1004,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5365,"base":13},"right_expr":{"type":"numeric_atoms","value":2872,"base":13}}},"used_operators":["9FxExcQeMw","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x"],"result":"⪎⋱⫍-37C2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1004","layer":1},{"info":"number node, value=5365","layer":2},{"info":"number node, value=2872","layer":2},{"info":"compute binary expreesion, left_input=5365, right_input=2872, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4954","layer":1},{"info":"compute binary expreesion, left_input=1004, right_input=4954, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7932","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5C3⋫)⩷∴(⪎⋱⫍2599⩷∴⪎⋱⫍13CC)=⪎⋱⫍-37C2","reverse_text":"⪎⋱⫍-37C2=(⪎⋱⫍5C3⋫)⩷∴(⪎⋱⫍2599⩷∴⪎⋱⫍13CC)","cot":[{"info":"⪎⋱⫍5C3⋫=⪎⋱⫍5C3","layer":1},{"info":"⪎⋱⫍2599⩷∴⪎⋱⫍13CC=⪎⋱⫍2341","layer":1},{"info":"⪎⋱⫍5C3⩷∴⪎⋱⫍2341=⪎⋱⫍-37C2","layer":0}]}
{"id":840,"expression_no_base_symbol":"$1254$≹⇙⪍$4147$⊴($2087$≫≃)","expression":"⪎⋱⫍756≹⇙⪍⪎⋱⫍1B70⊴(⪎⋱⫍C47≫≃)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5589,"operation_count":3,"complexity_ratio":1863.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1254,"base":13},"right_expr":{"type":"numeric_atoms","value":4147,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2087,"base":13}}},"used_operators":["Nsiff2A1zJ","AHs5Up7iyr","X99M06cbEe"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":2},{"info":"number node, value=4147","layer":2},{"info":"compute binary expreesion, left_input=1254, right_input=4147, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2087","layer":2},{"info":"compute unary expreesion, input=2087, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5575","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5575, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍756≹⇙⪍⪎⋱⫍1B70⊴(⪎⋱⫍C47≫≃)=NaN","reverse_text":"NaN=⪎⋱⫍756≹⇙⪍⪎⋱⫍1B70⊴(⪎⋱⫍C47≫≃)","cot":[{"info":"⪎⋱⫍756≹⇙⪍⪎⋱⫍1B70=NaN","layer":1},{"info":"⪎⋱⫍C47≫≃=⪎⋱⫍26CB","layer":1},{"info":"NaN⊴⪎⋱⫍26CB=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"↥($1001$⨵⪆$7577$)","expression":"↥(⪎⋱⫍5C0⨵⪆⪎⋱⫍35AB)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":7577,"base":13}}},"used_operators":["A8NUZmVepG","2DQ55sFlQl"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍7","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=7577","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=7577, 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":13,"result_base":13,"text":"↥(⪎⋱⫍5C0⨵⪆⪎⋱⫍35AB)=⪎⋱⫍7","reverse_text":"⪎⋱⫍7=↥(⪎⋱⫍5C0⨵⪆⪎⋱⫍35AB)","cot":[{"info":"⪎⋱⫍5C0⨵⪆⪎⋱⫍35AB=⪎⋱⫍C4","layer":1},{"info":"↥⪎⋱⫍C4=⪎⋱⫍7","layer":0}]}
{"id":842,"expression_no_base_symbol":"$1298$⨵⪆$1096$⫡⨏$6352$+⇶⊼$3155$","expression":"⪎⋱⫍78B⨵⪆⪎⋱⫍664⫡⨏⪎⋱⫍2B78+⇶⊼⪎⋱⫍1589","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1298,"base":13},"right_expr":{"type":"numeric_atoms","value":1096,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6352,"base":13},"right_expr":{"type":"numeric_atoms","value":3155,"base":13}}},"used_operators":["QMFrweE19q","2DQ55sFlQl","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1298","layer":2},{"info":"number node, value=1096","layer":2},{"info":"compute binary expreesion, left_input=1298, right_input=1096, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6352","layer":2},{"info":"number node, value=3155","layer":2},{"info":"compute binary expreesion, left_input=6352, right_input=3155, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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":13,"result_base":13,"text":"⪎⋱⫍78B⨵⪆⪎⋱⫍664⫡⨏⪎⋱⫍2B78+⇶⊼⪎⋱⫍1589=NaN","reverse_text":"NaN=⪎⋱⫍78B⨵⪆⪎⋱⫍664⫡⨏⪎⋱⫍2B78+⇶⊼⪎⋱⫍1589","cot":[{"info":"⪎⋱⫍78B⨵⪆⪎⋱⫍664=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍2B78+⇶⊼⪎⋱⫍1589=NaN","layer":1},{"info":"⪎⋱⫍C4⫡⨏NaN=NaN","layer":0}]}
{"id":843,"expression_no_base_symbol":"($5172$⪠⩆⊳)⪄$2177$∀⇚≩$1799$","expression":"(⪎⋱⫍247B⪠⩆⊳)⪄⪎⋱⫍CB6∀⇚≩⪎⋱⫍A85","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15268,"operation_count":3,"complexity_ratio":5089.333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5172,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2177,"base":13},"right_expr":{"type":"numeric_atoms","value":1799,"base":13}}},"used_operators":["SUmda5xLS4","JLbD19bQDL","LRNGc0VcxI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5172","layer":2},{"info":"compute unary expreesion, input=5172, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=2177","layer":2},{"info":"number node, value=1799","layer":2},{"info":"compute binary expreesion, left_input=2177, right_input=1799, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍247B⪠⩆⊳)⪄⪎⋱⫍CB6∀⇚≩⪎⋱⫍A85=NaN","reverse_text":"NaN=(⪎⋱⫍247B⪠⩆⊳)⪄⪎⋱⫍CB6∀⇚≩⪎⋱⫍A85","cot":[{"info":"⪎⋱⫍247B⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍CB6∀⇚≩⪎⋱⫍A85=NaN","layer":1},{"info":"⪎⋱⫍0⪄NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"$1063$⋝⋈⪟$1734$*$1018$⪮%⊝$3743$","expression":"⪎⋱⫍63A⋝⋈⪟⪎⋱⫍A35*⪎⋱⫍604⪮%⊝⪎⋱⫍191C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1075,"operation_count":3,"complexity_ratio":358.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1063,"base":13},"right_expr":{"type":"numeric_atoms","value":1734,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1018,"base":13},"right_expr":{"type":"numeric_atoms","value":3743,"base":13}}},"used_operators":["9HNa5Wba9A","2DDjHMKMc0","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍696CC3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":2},{"info":"number node, value=1734","layer":2},{"info":"compute binary expreesion, left_input=1063, right_input=1734, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1063","layer":1},{"info":"number node, value=1018","layer":2},{"info":"number node, value=3743","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=3743, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2352","layer":1},{"info":"compute binary expreesion, left_input=1063, right_input=2352, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2500176","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍63A⋝⋈⪟⪎⋱⫍A35*⪎⋱⫍604⪮%⊝⪎⋱⫍191C=⪎⋱⫍696CC3","reverse_text":"⪎⋱⫍696CC3=⪎⋱⫍63A⋝⋈⪟⪎⋱⫍A35*⪎⋱⫍604⪮%⊝⪎⋱⫍191C","cot":[{"info":"⪎⋱⫍63A⋝⋈⪟⪎⋱⫍A35=⪎⋱⫍63A","layer":1},{"info":"⪎⋱⫍604⪮%⊝⪎⋱⫍191C=⪎⋱⫍10BC","layer":1},{"info":"⪎⋱⫍63A*⪎⋱⫍10BC=⪎⋱⫍696CC3","layer":0}]}
{"id":845,"expression_no_base_symbol":"$3222$⨎$1188$/($1452$+$2177$)","expression":"⪎⋱⫍160B⨎⪎⋱⫍705/(⪎⋱⫍879+⪎⋱⫍CB6)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3222,"base":13},"right_expr":{"type":"numeric_atoms","value":1188,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1452,"base":13},"right_expr":{"type":"numeric_atoms","value":2177,"base":13}}},"used_operators":["XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3222","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=3222, right_input=1188, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1188","layer":1},{"info":"number node, value=1452","layer":2},{"info":"number node, value=2177","layer":2},{"info":"compute binary expreesion, left_input=1452, right_input=2177, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3629","layer":1},{"info":"compute binary expreesion, left_input=1188, right_input=3629, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍160B⨎⪎⋱⫍705/(⪎⋱⫍879+⪎⋱⫍CB6)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍160B⨎⪎⋱⫍705/(⪎⋱⫍879+⪎⋱⫍CB6)","cot":[{"info":"⪎⋱⫍160B⨎⪎⋱⫍705=⪎⋱⫍705","layer":1},{"info":"⪎⋱⫍879+⪎⋱⫍CB6=⪎⋱⫍1862","layer":1},{"info":"⪎⋱⫍705/⪎⋱⫍1862=⪎⋱⫍0","layer":0}]}
{"id":846,"expression_no_base_symbol":"$3811$⪒$1201$⪨≂($1159$↪⪝)","expression":"⪎⋱⫍1972⪒⪎⋱⫍715⪨≂(⪎⋱⫍6B2↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":708,"operation_count":3,"complexity_ratio":236.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3811,"base":13},"right_expr":{"type":"numeric_atoms","value":1201,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1159,"base":13}}},"used_operators":["sdazOOVcIp","f6k1SAg4EE","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍-234CB176","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3811","layer":2},{"info":"number node, value=1201","layer":2},{"info":"compute binary expreesion, left_input=3811, right_input=1201, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5012","layer":1},{"info":"number node, value=1159","layer":2},{"info":"compute unary expreesion, input=1159, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=70909938","layer":1},{"info":"compute binary expreesion, left_input=-5012, right_input=70909938, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-141829798","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1972⪒⪎⋱⫍715⪨≂(⪎⋱⫍6B2↪⪝)=⪎⋱⫍-234CB176","reverse_text":"⪎⋱⫍-234CB176=⪎⋱⫍1972⪒⪎⋱⫍715⪨≂(⪎⋱⫍6B2↪⪝)","cot":[{"info":"⪎⋱⫍1972⪒⪎⋱⫍715=⪎⋱⫍-2387","layer":1},{"info":"⪎⋱⫍6B2↪⪝=⪎⋱⫍118C9A58","layer":1},{"info":"⪎⋱⫍-2387⪨≂⪎⋱⫍118C9A58=⪎⋱⫍-234CB176","layer":0}]}
{"id":847,"expression_no_base_symbol":"$1688$⪛$2016$⫡⨏(≉$5732$)","expression":"⪎⋱⫍9CB⪛⪎⋱⫍BC1⫡⨏(≉⪎⋱⫍27BC)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1688,"base":13},"right_expr":{"type":"numeric_atoms","value":2016,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5732,"base":13}}},"used_operators":["QMFrweE19q","uFcxV4UQCh","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍9B90","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":2},{"info":"number node, value=2016","layer":2},{"info":"compute binary expreesion, left_input=1688, right_input=2016, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1688","layer":1},{"info":"number node, value=5732","layer":2},{"info":"compute unary expreesion, input=5732, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6263","layer":1},{"info":"compute binary expreesion, left_input=1688, right_input=6263, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21749","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍9CB⪛⪎⋱⫍BC1⫡⨏(≉⪎⋱⫍27BC)=⪎⋱⫍9B90","reverse_text":"⪎⋱⫍9B90=⪎⋱⫍9CB⪛⪎⋱⫍BC1⫡⨏(≉⪎⋱⫍27BC)","cot":[{"info":"⪎⋱⫍9CB⪛⪎⋱⫍BC1=⪎⋱⫍9CB","layer":1},{"info":"≉⪎⋱⫍27BC=⪎⋱⫍2B0A","layer":1},{"info":"⪎⋱⫍9CB⫡⨏⪎⋱⫍2B0A=⪎⋱⫍9B90","layer":0}]}
{"id":848,"expression_no_base_symbol":"≉(+⊝⨔$3896$)","expression":"≉(+⊝⨔⪎⋱⫍1A09)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3896,"base":13}}},"used_operators":["e1ybzncUwg","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍C1C","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3896","layer":2},{"info":"compute unary expreesion, input=3896, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2053","layer":0}],"base":13,"result_base":13,"text":"≉(+⊝⨔⪎⋱⫍1A09)=⪎⋱⫍C1C","reverse_text":"⪎⋱⫍C1C=≉(+⊝⨔⪎⋱⫍1A09)","cot":[{"info":"+⊝⨔⪎⋱⫍1A09=⪎⋱⫍901","layer":1},{"info":"≉⪎⋱⫍901=⪎⋱⫍C1C","layer":0}]}
{"id":849,"expression_no_base_symbol":"$8040$+⇶⊼$1852$⋥≓≎($2470$⋫)","expression":"⪎⋱⫍3876+⇶⊼⪎⋱⫍AC6⋥≓≎(⪎⋱⫍1180⋫)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2473,"operation_count":3,"complexity_ratio":824.3333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8040,"base":13},"right_expr":{"type":"numeric_atoms","value":1852,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2470,"base":13}}},"used_operators":["Qy55tPpLXF","TpPTUOHfaN","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=8040","layer":2},{"info":"number node, value=1852","layer":2},{"info":"compute binary expreesion, left_input=8040, right_input=1852, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2470","layer":2},{"info":"compute unary expreesion, input=2470, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2470, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍3876+⇶⊼⪎⋱⫍AC6⋥≓≎(⪎⋱⫍1180⋫)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍3876+⇶⊼⪎⋱⫍AC6⋥≓≎(⪎⋱⫍1180⋫)","cot":[{"info":"⪎⋱⫍3876+⇶⊼⪎⋱⫍AC6=NaN","layer":1},{"info":"⪎⋱⫍1180⋫=⪎⋱⫍1180","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍1180=⪎⋱⫍52","layer":0}]}
{"id":850,"expression_no_base_symbol":"$2004$⇷$1102$⨐⩸⫘$2998$⇷$2204$","expression":"⪎⋱⫍BB2⇷⪎⋱⫍66A⨐⩸⫘⪎⋱⫍1498⇷⪎⋱⫍1007","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70041,"operation_count":3,"complexity_ratio":23347.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2004,"base":13},"right_expr":{"type":"numeric_atoms","value":1102,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2998,"base":13},"right_expr":{"type":"numeric_atoms","value":2204,"base":13}}},"used_operators":["fu6greOZ01","mp7IySMOzn"],"dependent_operators":["3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2004","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=2004, right_input=1102, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2204","layer":1},{"info":"number node, value=2998","layer":2},{"info":"number node, value=2204","layer":2},{"info":"compute binary expreesion, left_input=2998, right_input=2204, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4408","layer":1},{"info":"compute binary expreesion, left_input=2204, right_input=4408, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪎⋱⫍BB2⇷⪎⋱⫍66A⨐⩸⫘⪎⋱⫍1498⇷⪎⋱⫍1007=NaN","reverse_text":"NaN=⪎⋱⫍BB2⇷⪎⋱⫍66A⨐⩸⫘⪎⋱⫍1498⇷⪎⋱⫍1007","cot":[{"info":"⪎⋱⫍BB2⇷⪎⋱⫍66A=⪎⋱⫍1007","layer":1},{"info":"⪎⋱⫍1498⇷⪎⋱⫍1007=⪎⋱⫍2011","layer":1},{"info":"⪎⋱⫍1007⨐⩸⫘⪎⋱⫍2011=NaN","layer":0}]}
{"id":851,"expression_no_base_symbol":"$1126$⪛$7420$⋳⪒($8383$⨽$2957$)","expression":"⪎⋱⫍688⪛⪎⋱⫍34BA⋳⪒(⪎⋱⫍3A7B⨽⪎⋱⫍1466)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8403,"operation_count":3,"complexity_ratio":2801.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1126,"base":13},"right_expr":{"type":"numeric_atoms","value":7420,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8383,"base":13},"right_expr":{"type":"numeric_atoms","value":2957,"base":13}}},"used_operators":["12rbrZMWeM","uFcxV4UQCh","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍348AB405","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1126","layer":2},{"info":"number node, value=7420","layer":2},{"info":"compute binary expreesion, left_input=1126, right_input=7420, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1126","layer":1},{"info":"number node, value=8383","layer":2},{"info":"number node, value=2957","layer":2},{"info":"compute binary expreesion, left_input=8383, right_input=2957, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-210831624","layer":1},{"info":"compute binary expreesion, left_input=1126, right_input=-210831624, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=210833589","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍688⪛⪎⋱⫍34BA⋳⪒(⪎⋱⫍3A7B⨽⪎⋱⫍1466)=⪎⋱⫍348AB405","reverse_text":"⪎⋱⫍348AB405=⪎⋱⫍688⪛⪎⋱⫍34BA⋳⪒(⪎⋱⫍3A7B⨽⪎⋱⫍1466)","cot":[{"info":"⪎⋱⫍688⪛⪎⋱⫍34BA=⪎⋱⫍688","layer":1},{"info":"⪎⋱⫍3A7B⨽⪎⋱⫍1466=⪎⋱⫍-348AA553","layer":1},{"info":"⪎⋱⫍688⋳⪒⪎⋱⫍-348AA553=⪎⋱⫍348AB405","layer":0}]}
{"id":852,"expression_no_base_symbol":"($1055$⪄$2061$)⪛($3749$≧⫂∧$1801$)","expression":"(⪎⋱⫍632⪄⪎⋱⫍C27)⪛(⪎⋱⫍1925≧⫂∧⪎⋱⫍A87)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":219,"operation_count":3,"complexity_ratio":73.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1055,"base":13},"right_expr":{"type":"numeric_atoms","value":2061,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3749,"base":13},"right_expr":{"type":"numeric_atoms","value":1801,"base":13}}},"used_operators":["uFcxV4UQCh","SUmda5xLS4","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍137","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":2},{"info":"number node, value=2061","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=2061, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-160473","layer":1},{"info":"number node, value=3749","layer":2},{"info":"number node, value=1801","layer":2},{"info":"compute binary expreesion, left_input=3749, right_input=1801, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1328","layer":1},{"info":"compute binary expreesion, left_input=-160473, right_input=1328, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=215","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍632⪄⪎⋱⫍C27)⪛(⪎⋱⫍1925≧⫂∧⪎⋱⫍A87)=⪎⋱⫍137","reverse_text":"⪎⋱⫍137=(⪎⋱⫍632⪄⪎⋱⫍C27)⪛(⪎⋱⫍1925≧⫂∧⪎⋱⫍A87)","cot":[{"info":"⪎⋱⫍632⪄⪎⋱⫍C27=⪎⋱⫍-58071","layer":1},{"info":"⪎⋱⫍1925≧⫂∧⪎⋱⫍A87=⪎⋱⫍7B2","layer":1},{"info":"⪎⋱⫍-58071⪛⪎⋱⫍7B2=⪎⋱⫍137","layer":0}]}
{"id":853,"expression_no_base_symbol":"(∥⊫$5613$)⨽$2705$⫥∨⫟$2655$","expression":"(∥⊫⪎⋱⫍272A)⨽⪎⋱⫍1301⫥∨⫟⪎⋱⫍1293","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6648,"operation_count":3,"complexity_ratio":2216.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5613,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2705,"base":13},"right_expr":{"type":"numeric_atoms","value":2655,"base":13}}},"used_operators":["8HhzD0ZcuI","P8v4zCKN1o","KYD54nUTWz"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5613","layer":2},{"info":"compute unary expreesion, input=5613, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6481","layer":1},{"info":"number node, value=2705","layer":2},{"info":"number node, value=2655","layer":2},{"info":"compute binary expreesion, left_input=2705, right_input=2655, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6481, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∥⊫⪎⋱⫍272A)⨽⪎⋱⫍1301⫥∨⫟⪎⋱⫍1293=NaN","reverse_text":"NaN=(∥⊫⪎⋱⫍272A)⨽⪎⋱⫍1301⫥∨⫟⪎⋱⫍1293","cot":[{"info":"∥⊫⪎⋱⫍272A=⪎⋱⫍2C47","layer":1},{"info":"⪎⋱⫍1301⫥∨⫟⪎⋱⫍1293=NaN","layer":1},{"info":"⪎⋱⫍2C47⨽NaN=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"(⨰⫟⨤$2929$)≧⫂∧($1269$⨽$1482$)","expression":"(⨰⫟⨤⪎⋱⫍1444)≧⫂∧(⪎⋱⫍768⨽⪎⋱⫍8A0)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12156,"operation_count":3,"complexity_ratio":4052.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2929,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":1482,"base":13}}},"used_operators":["Ph9nP6C5qx","Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2929","layer":2},{"info":"compute unary expreesion, input=2929, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1269","layer":2},{"info":"number node, value=1482","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=1482, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4834215","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4834215, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤⪎⋱⫍1444)≧⫂∧(⪎⋱⫍768⨽⪎⋱⫍8A0)=NaN","reverse_text":"NaN=(⨰⫟⨤⪎⋱⫍1444)≧⫂∧(⪎⋱⫍768⨽⪎⋱⫍8A0)","cot":[{"info":"⨰⫟⨤⪎⋱⫍1444=NaN","layer":1},{"info":"⪎⋱⫍768⨽⪎⋱⫍8A0=⪎⋱⫍-10034A9","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍-10034A9=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"∂($1189$≭$2868$)","expression":"∂(⪎⋱⫍706≭⪎⋱⫍13C8)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":2868,"base":13}}},"used_operators":["Uaa54Peajs","rxpJgHHUmx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1189","layer":2},{"info":"number node, value=2868","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=2868, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∂(⪎⋱⫍706≭⪎⋱⫍13C8)=NaN","reverse_text":"NaN=∂(⪎⋱⫍706≭⪎⋱⫍13C8)","cot":[{"info":"⪎⋱⫍706≭⪎⋱⫍13C8=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"≤/$4996$⪢$3824$","expression":"≤/⪎⋱⫍2374⪢⪎⋱⫍1982","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5318,"operation_count":2,"complexity_ratio":2659.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4996,"base":13},"right_expr":{"type":"numeric_atoms","value":3824,"base":13}}},"used_operators":["eLAdDNolq6","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4996","layer":2},{"info":"number node, value=3824","layer":2},{"info":"compute binary expreesion, left_input=4996, right_input=3824, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/⪎⋱⫍2374⪢⪎⋱⫍1982=NaN","reverse_text":"NaN=≤/⪎⋱⫍2374⪢⪎⋱⫍1982","cot":[{"info":"⪎⋱⫍2374⪢⪎⋱⫍1982=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"($2641$⊦⊿)∼($2589$/$3388$)","expression":"(⪎⋱⫍1282⊦⊿)∼(⪎⋱⫍1242/⪎⋱⫍1708)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184,"operation_count":3,"complexity_ratio":61.333333333333336,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2641,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2589,"base":13},"right_expr":{"type":"numeric_atoms","value":3388,"base":13}}},"used_operators":["DyGG3AbaNP","14qkJME0vr","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍17","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":2},{"info":"compute unary expreesion, input=2641, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8002","layer":1},{"info":"number node, value=2589","layer":2},{"info":"number node, value=3388","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=3388, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8002, 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1282⊦⊿)∼(⪎⋱⫍1242/⪎⋱⫍1708)=⪎⋱⫍17","reverse_text":"⪎⋱⫍17=(⪎⋱⫍1282⊦⊿)∼(⪎⋱⫍1242/⪎⋱⫍1708)","cot":[{"info":"⪎⋱⫍1282⊦⊿=⪎⋱⫍-3847","layer":1},{"info":"⪎⋱⫍1242/⪎⋱⫍1708=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-3847∼⪎⋱⫍0=⪎⋱⫍17","layer":0}]}
{"id":858,"expression_no_base_symbol":"($6699$⫩⊇)+(⪝⪂⫅$2482$)","expression":"(⪎⋱⫍3084⫩⊇)+(⪝⪂⫅⪎⋱⫍118C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6699,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2482,"base":13}}},"used_operators":["W4YGzv6Whe","BjRHVeLaeN","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍-10013A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6699","layer":2},{"info":"compute unary expreesion, input=6699, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6657","layer":1},{"info":"number node, value=2482","layer":2},{"info":"compute unary expreesion, input=2482, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-364854","layer":1},{"info":"compute binary expreesion, left_input=-6657, right_input=-364854, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-371511","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3084⫩⊇)+(⪝⪂⫅⪎⋱⫍118C)=⪎⋱⫍-10013A","reverse_text":"⪎⋱⫍-10013A=(⪎⋱⫍3084⫩⊇)+(⪝⪂⫅⪎⋱⫍118C)","cot":[{"info":"⪎⋱⫍3084⫩⊇=⪎⋱⫍-3051","layer":1},{"info":"⪝⪂⫅⪎⋱⫍118C=⪎⋱⫍-CA0B9","layer":1},{"info":"⪎⋱⫍-3051+⪎⋱⫍-CA0B9=⪎⋱⫍-10013A","layer":0}]}
{"id":859,"expression_no_base_symbol":"($1352$%$1610$)⩨(≉$2135$)","expression":"(⪎⋱⫍800%⪎⋱⫍96B)⩨(≉⪎⋱⫍C83)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1352,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2135,"base":13}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","e1ybzncUwg"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":2},{"info":"number node, value=1610","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=1610, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1352","layer":1},{"info":"number node, value=2135","layer":2},{"info":"compute unary expreesion, input=2135, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2666","layer":1},{"info":"compute binary expreesion, left_input=1352, right_input=2666, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍800%⪎⋱⫍96B)⩨(≉⪎⋱⫍C83)=⪎⋱⫍-3","reverse_text":"⪎⋱⫍-3=(⪎⋱⫍800%⪎⋱⫍96B)⩨(≉⪎⋱⫍C83)","cot":[{"info":"⪎⋱⫍800%⪎⋱⫍96B=⪎⋱⫍800","layer":1},{"info":"≉⪎⋱⫍C83=⪎⋱⫍12A1","layer":1},{"info":"⪎⋱⫍800⩨⪎⋱⫍12A1=⪎⋱⫍-3","layer":0}]}
{"id":860,"expression_no_base_symbol":"∂($1491$⋳⪒$4395$)","expression":"∂(⪎⋱⫍8A9⋳⪒⪎⋱⫍2001)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":424,"operation_count":2,"complexity_ratio":212.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1491,"base":13},"right_expr":{"type":"numeric_atoms","value":4395,"base":13}}},"used_operators":["Uaa54Peajs","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍866","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1491","layer":2},{"info":"number node, value=4395","layer":2},{"info":"compute binary expreesion, left_input=1491, right_input=4395, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1700","layer":1},{"info":"compute unary expreesion, input=-1700, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1436","layer":0}],"base":13,"result_base":13,"text":"∂(⪎⋱⫍8A9⋳⪒⪎⋱⫍2001)=⪎⋱⫍866","reverse_text":"⪎⋱⫍866=∂(⪎⋱⫍8A9⋳⪒⪎⋱⫍2001)","cot":[{"info":"⪎⋱⫍8A9⋳⪒⪎⋱⫍2001=⪎⋱⫍-A0A","layer":1},{"info":"∂⪎⋱⫍-A0A=⪎⋱⫍866","layer":0}]}
{"id":861,"expression_no_base_symbol":"($2696$⫸⊐$5811$)⫩⊇","expression":"(⪎⋱⫍12C5⫸⊐⪎⋱⫍2850)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2696,"base":13},"right_expr":{"type":"numeric_atoms","value":5811,"base":13}}},"used_operators":["BjRHVeLaeN","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-A672","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2696","layer":2},{"info":"number node, value=5811","layer":2},{"info":"compute binary expreesion, left_input=2696, right_input=5811, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23119","layer":1},{"info":"compute unary expreesion, input=23119, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-23077","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍12C5⫸⊐⪎⋱⫍2850)⫩⊇=⪎⋱⫍-A672","reverse_text":"⪎⋱⫍-A672=(⪎⋱⫍12C5⫸⊐⪎⋱⫍2850)⫩⊇","cot":[{"info":"⪎⋱⫍12C5⫸⊐⪎⋱⫍2850=⪎⋱⫍A6A5","layer":1},{"info":"⪎⋱⫍A6A5⫩⊇=⪎⋱⫍-A672","layer":0}]}
{"id":862,"expression_no_base_symbol":"-$1009$⋥≓≎$3449$","expression":"-⪎⋱⫍5C8⋥≓≎⪎⋱⫍1754","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":3449,"base":13}}},"used_operators":["t8gj7n24qd","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2907","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":2},{"info":"number node, value=3449","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=3449, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5922","layer":1},{"info":"compute unary expreesion, input=5922, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5922","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍5C8⋥≓≎⪎⋱⫍1754=⪎⋱⫍-2907","reverse_text":"⪎⋱⫍-2907=-⪎⋱⫍5C8⋥≓≎⪎⋱⫍1754","cot":[{"info":"⪎⋱⫍5C8⋥≓≎⪎⋱⫍1754=⪎⋱⫍2907","layer":1},{"info":"-⪎⋱⫍2907=⪎⋱⫍-2907","layer":0}]}
{"id":863,"expression_no_base_symbol":"$6037$∑⇟⊟$5250$*($2239$⊭↱$1348$)","expression":"⪎⋱⫍2995∑⇟⊟⪎⋱⫍250B*(⪎⋱⫍1033⊭↱⪎⋱⫍7C9)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6037,"base":13},"right_expr":{"type":"numeric_atoms","value":5250,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2239,"base":13},"right_expr":{"type":"numeric_atoms","value":1348,"base":13}}},"used_operators":["9HNa5Wba9A","U7g4x0WXJJ","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6037","layer":2},{"info":"number node, value=5250","layer":2},{"info":"compute binary expreesion, left_input=6037, right_input=5250, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2239","layer":2},{"info":"number node, value=1348","layer":2},{"info":"compute binary expreesion, left_input=2239, right_input=1348, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1777","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1777, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2995∑⇟⊟⪎⋱⫍250B*(⪎⋱⫍1033⊭↱⪎⋱⫍7C9)=NaN","reverse_text":"NaN=⪎⋱⫍2995∑⇟⊟⪎⋱⫍250B*(⪎⋱⫍1033⊭↱⪎⋱⫍7C9)","cot":[{"info":"⪎⋱⫍2995∑⇟⊟⪎⋱⫍250B=NaN","layer":1},{"info":"⪎⋱⫍1033⊭↱⪎⋱⫍7C9=⪎⋱⫍-A69","layer":1},{"info":"NaN*⪎⋱⫍-A69=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"($1083$⇋≉)⨐⩸⫘($7184$/$1391$)","expression":"(⪎⋱⫍654⇋≉)⨐⩸⫘(⪎⋱⫍3368/⪎⋱⫍830)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1083,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7184,"base":13},"right_expr":{"type":"numeric_atoms","value":1391,"base":13}}},"used_operators":["fu6greOZ01","XIabStNQrY","XhwjNDsVaA"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-8","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"compute unary expreesion, input=1083, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2068","layer":1},{"info":"number node, value=7184","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=7184, right_input=1391, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":1},{"info":"compute binary expreesion, left_input=2068, right_input=5, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-8","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍654⇋≉)⨐⩸⫘(⪎⋱⫍3368/⪎⋱⫍830)=⪎⋱⫍-8","reverse_text":"⪎⋱⫍-8=(⪎⋱⫍654⇋≉)⨐⩸⫘(⪎⋱⫍3368/⪎⋱⫍830)","cot":[{"info":"⪎⋱⫍654⇋≉=⪎⋱⫍C31","layer":1},{"info":"⪎⋱⫍3368/⪎⋱⫍830=⪎⋱⫍5","layer":1},{"info":"⪎⋱⫍C31⨐⩸⫘⪎⋱⫍5=⪎⋱⫍-8","layer":0}]}
{"id":865,"expression_no_base_symbol":"($3241$⫥∨⫟$4590$)≧⫂∧($1875$/$1797$)","expression":"(⪎⋱⫍1624⫥∨⫟⪎⋱⫍2121)≧⫂∧(⪎⋱⫍B13/⪎⋱⫍A83)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3241,"base":13},"right_expr":{"type":"numeric_atoms","value":4590,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1875,"base":13},"right_expr":{"type":"numeric_atoms","value":1797,"base":13}}},"used_operators":["Ph9nP6C5qx","KYD54nUTWz","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"⪎⋱⫍-2A4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3241","layer":2},{"info":"number node, value=4590","layer":2},{"info":"compute binary expreesion, left_input=3241, right_input=4590, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1875","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=1875, right_input=1797, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1624⫥∨⫟⪎⋱⫍2121)≧⫂∧(⪎⋱⫍B13/⪎⋱⫍A83)=⪎⋱⫍-2A4","reverse_text":"⪎⋱⫍-2A4=(⪎⋱⫍1624⫥∨⫟⪎⋱⫍2121)≧⫂∧(⪎⋱⫍B13/⪎⋱⫍A83)","cot":[{"info":"⪎⋱⫍1624⫥∨⫟⪎⋱⫍2121=NaN","layer":1},{"info":"⪎⋱⫍B13/⪎⋱⫍A83=⪎⋱⫍1","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍1=⪎⋱⫍-2A4","layer":0}]}
{"id":866,"expression_no_base_symbol":"(↔$2348$)⊴($5319$+⇶⊼$4010$)","expression":"(↔⪎⋱⫍10B8)⊴(⪎⋱⫍2562+⇶⊼⪎⋱⫍1A96)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2348,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5319,"base":13},"right_expr":{"type":"numeric_atoms","value":4010,"base":13}}},"used_operators":["Nsiff2A1zJ","ruOEQAzv1W","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2348","layer":2},{"info":"compute unary expreesion, input=2348, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2075","layer":1},{"info":"number node, value=5319","layer":2},{"info":"number node, value=4010","layer":2},{"info":"compute binary expreesion, left_input=5319, right_input=4010, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-2075, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔⪎⋱⫍10B8)⊴(⪎⋱⫍2562+⇶⊼⪎⋱⫍1A96)=NaN","reverse_text":"NaN=(↔⪎⋱⫍10B8)⊴(⪎⋱⫍2562+⇶⊼⪎⋱⫍1A96)","cot":[{"info":"↔⪎⋱⫍10B8=⪎⋱⫍-C38","layer":1},{"info":"⪎⋱⫍2562+⇶⊼⪎⋱⫍1A96=NaN","layer":1},{"info":"⪎⋱⫍-C38⊴NaN=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"(↯⪼$1693$)⪘⫢$2843$∀⇚≩$1249$","expression":"(↯⪼⪎⋱⫍A03)⪘⫢⪎⋱⫍13A9∀⇚≩⪎⋱⫍751","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19941,"operation_count":3,"complexity_ratio":6647.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1693,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2843,"base":13},"right_expr":{"type":"numeric_atoms","value":1249,"base":13}}},"used_operators":["oacrs7FA3X","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1693","layer":2},{"info":"compute unary expreesion, input=1693, 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=2843","layer":2},{"info":"number node, value=1249","layer":2},{"info":"compute binary expreesion, left_input=2843, right_input=1249, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-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":0}],"base":13,"result_base":13,"text":"(↯⪼⪎⋱⫍A03)⪘⫢⪎⋱⫍13A9∀⇚≩⪎⋱⫍751=NaN","reverse_text":"NaN=(↯⪼⪎⋱⫍A03)⪘⫢⪎⋱⫍13A9∀⇚≩⪎⋱⫍751","cot":[{"info":"↯⪼⪎⋱⫍A03=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍13A9∀⇚≩⪎⋱⫍751=NaN","layer":1},{"info":"⪎⋱⫍-18⪘⫢NaN=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"$1050$∑⇟⊟$5401$≎⊠⪸($4763$⨐⩸⫘$3645$)","expression":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍25C6≎⊠⪸(⪎⋱⫍2225⨐⩸⫘⪎⋱⫍1875)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1050,"base":13},"right_expr":{"type":"numeric_atoms","value":5401,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4763,"base":13},"right_expr":{"type":"numeric_atoms","value":3645,"base":13}}},"used_operators":["bJkvcejdHO","U7g4x0WXJJ","fu6greOZ01"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1050","layer":2},{"info":"number node, value=5401","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=5401, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4763","layer":2},{"info":"number node, value=3645","layer":2},{"info":"compute binary expreesion, left_input=4763, right_input=3645, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍25C6≎⊠⪸(⪎⋱⫍2225⨐⩸⫘⪎⋱⫍1875)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍62A∑⇟⊟⪎⋱⫍25C6≎⊠⪸(⪎⋱⫍2225⨐⩸⫘⪎⋱⫍1875)","cot":[{"info":"⪎⋱⫍62A∑⇟⊟⪎⋱⫍25C6=NaN","layer":1},{"info":"⪎⋱⫍2225⨐⩸⫘⪎⋱⫍1875=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":869,"expression_no_base_symbol":"($5798$⨎$5219$)↬($1647$⨸⪁$1561$)","expression":"(⪎⋱⫍2840⨎⪎⋱⫍24B6)↬(⪎⋱⫍999⨸⪁⪎⋱⫍931)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5798,"base":13},"right_expr":{"type":"numeric_atoms","value":5219,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1647,"base":13},"right_expr":{"type":"numeric_atoms","value":1561,"base":13}}},"used_operators":["B5M0gjZbta","rJVOvQCfKK","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5798","layer":2},{"info":"number node, value=5219","layer":2},{"info":"compute binary expreesion, left_input=5798, right_input=5219, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5219","layer":1},{"info":"number node, value=1647","layer":2},{"info":"number node, value=1561","layer":2},{"info":"compute binary expreesion, left_input=1647, right_input=1561, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6416","layer":1},{"info":"compute binary expreesion, left_input=5219, right_input=6416, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍2840⨎⪎⋱⫍24B6)↬(⪎⋱⫍999⨸⪁⪎⋱⫍931)=NaN","reverse_text":"NaN=(⪎⋱⫍2840⨎⪎⋱⫍24B6)↬(⪎⋱⫍999⨸⪁⪎⋱⫍931)","cot":[{"info":"⪎⋱⫍2840⨎⪎⋱⫍24B6=⪎⋱⫍24B6","layer":1},{"info":"⪎⋱⫍999⨸⪁⪎⋱⫍931=⪎⋱⫍2BC7","layer":1},{"info":"⪎⋱⫍24B6↬⪎⋱⫍2BC7=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"⊙↵-$1735$⨟⋌⩍$2806$","expression":"⊙↵-⪎⋱⫍A36⨟⋌⩍⪎⋱⫍137B","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1735,"base":13},"right_expr":{"type":"numeric_atoms","value":2806,"base":13}}},"used_operators":["oWn0xqSxBt","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1735","layer":2},{"info":"number node, value=2806","layer":2},{"info":"compute binary expreesion, left_input=1735, right_input=2806, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊙↵-⪎⋱⫍A36⨟⋌⩍⪎⋱⫍137B=NaN","reverse_text":"NaN=⊙↵-⪎⋱⫍A36⨟⋌⩍⪎⋱⫍137B","cot":[{"info":"⪎⋱⫍A36⨟⋌⩍⪎⋱⫍137B=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"($5001$⨳⩥⨓$2370$)≎⊠⪸$2280$∀⇚≩$1030$","expression":"(⪎⋱⫍2379⨳⩥⨓⪎⋱⫍1104)≎⊠⪸⪎⋱⫍1065∀⇚≩⪎⋱⫍613","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15974,"operation_count":3,"complexity_ratio":5324.666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5001,"base":13},"right_expr":{"type":"numeric_atoms","value":2370,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2280,"base":13},"right_expr":{"type":"numeric_atoms","value":1030,"base":13}}},"used_operators":["bJkvcejdHO","nCS4ZIUYfx","LRNGc0VcxI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5001","layer":2},{"info":"number node, value=2370","layer":2},{"info":"compute binary expreesion, left_input=5001, right_input=2370, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2631","layer":1},{"info":"number node, value=2280","layer":2},{"info":"number node, value=1030","layer":2},{"info":"compute binary expreesion, left_input=2280, right_input=1030, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-2631, 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":13,"result_base":13,"text":"(⪎⋱⫍2379⨳⩥⨓⪎⋱⫍1104)≎⊠⪸⪎⋱⫍1065∀⇚≩⪎⋱⫍613=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍2379⨳⩥⨓⪎⋱⫍1104)≎⊠⪸⪎⋱⫍1065∀⇚≩⪎⋱⫍613","cot":[{"info":"⪎⋱⫍2379⨳⩥⨓⪎⋱⫍1104=⪎⋱⫍-1275","layer":1},{"info":"⪎⋱⫍1065∀⇚≩⪎⋱⫍613=NaN","layer":1},{"info":"⪎⋱⫍-1275≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":872,"expression_no_base_symbol":"($1515$⪄$1335$)⪮%⊝($1420$⨎$5935$)","expression":"(⪎⋱⫍8C7⪄⪎⋱⫍7B9)⪮%⊝(⪎⋱⫍853⨎⪎⋱⫍2917)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":105,"operation_count":3,"complexity_ratio":35.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1515,"base":13},"right_expr":{"type":"numeric_atoms","value":1335,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1420,"base":13},"right_expr":{"type":"numeric_atoms","value":5935,"base":13}}},"used_operators":["IWmyXbctLI","SUmda5xLS4","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-12A36C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":2},{"info":"number node, value=1335","layer":2},{"info":"compute binary expreesion, left_input=1515, right_input=1335, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-225649","layer":1},{"info":"number node, value=1420","layer":2},{"info":"number node, value=5935","layer":2},{"info":"compute binary expreesion, left_input=1420, right_input=5935, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5935","layer":1},{"info":"compute binary expreesion, left_input=-225649, right_input=5935, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-450982","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍8C7⪄⪎⋱⫍7B9)⪮%⊝(⪎⋱⫍853⨎⪎⋱⫍2917)=⪎⋱⫍-12A36C","reverse_text":"⪎⋱⫍-12A36C=(⪎⋱⫍8C7⪄⪎⋱⫍7B9)⪮%⊝(⪎⋱⫍853⨎⪎⋱⫍2917)","cot":[{"info":"⪎⋱⫍8C7⪄⪎⋱⫍7B9=⪎⋱⫍-7B928","layer":1},{"info":"⪎⋱⫍853⨎⪎⋱⫍2917=⪎⋱⫍2917","layer":1},{"info":"⪎⋱⫍-7B928⪮%⊝⪎⋱⫍2917=⪎⋱⫍-12A36C","layer":0}]}
{"id":873,"expression_no_base_symbol":"↔($1251$≋⫹)","expression":"↔(⪎⋱⫍753≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1251,"base":13}}},"used_operators":["ruOEQAzv1W","N41Kp7NANJ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":2},{"info":"compute unary expreesion, input=1251, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2502","layer":1},{"info":"compute unary expreesion, input=-2502, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍753≋⫹)=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⪎⋱⫍753≋⫹)","cot":[{"info":"⪎⋱⫍753≋⫹=⪎⋱⫍-11A6","layer":1},{"info":"↔⪎⋱⫍-11A6=⪎⋱⫍-A4","layer":0}]}
{"id":874,"expression_no_base_symbol":"($2008$+$4712$)⨸⪁($2991$%$2504$)","expression":"(⪎⋱⫍BB6+⪎⋱⫍21B6)⨸⪁(⪎⋱⫍1491%⪎⋱⫍11A8)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2008,"base":13},"right_expr":{"type":"numeric_atoms","value":4712,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2991,"base":13},"right_expr":{"type":"numeric_atoms","value":2504,"base":13}}},"used_operators":["g55IO6H4Gj","W4YGzv6Whe","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍673A","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2008","layer":2},{"info":"number node, value=4712","layer":2},{"info":"compute binary expreesion, left_input=2008, right_input=4712, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6720","layer":1},{"info":"number node, value=2991","layer":2},{"info":"number node, value=2504","layer":2},{"info":"compute binary expreesion, left_input=2991, right_input=2504, op_id = k8jYdgA6NY binary_op_definition= 'None', output=487","layer":1},{"info":"compute binary expreesion, left_input=6720, right_input=487, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14414","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍BB6+⪎⋱⫍21B6)⨸⪁(⪎⋱⫍1491%⪎⋱⫍11A8)=⪎⋱⫍673A","reverse_text":"⪎⋱⫍673A=(⪎⋱⫍BB6+⪎⋱⫍21B6)⨸⪁(⪎⋱⫍1491%⪎⋱⫍11A8)","cot":[{"info":"⪎⋱⫍BB6+⪎⋱⫍21B6=⪎⋱⫍309C","layer":1},{"info":"⪎⋱⫍1491%⪎⋱⫍11A8=⪎⋱⫍2B6","layer":1},{"info":"⪎⋱⫍309C⨸⪁⪎⋱⫍2B6=⪎⋱⫍673A","layer":0}]}
{"id":875,"expression_no_base_symbol":"↔($7246$⨐⩸⫘$1747$)","expression":"↔(⪎⋱⫍33B5⨐⩸⫘⪎⋱⫍A45)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7246,"base":13},"right_expr":{"type":"numeric_atoms","value":1747,"base":13}}},"used_operators":["ruOEQAzv1W","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7246","layer":2},{"info":"number node, value=1747","layer":2},{"info":"compute binary expreesion, left_input=7246, right_input=1747, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍33B5⨐⩸⫘⪎⋱⫍A45)=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⪎⋱⫍33B5⨐⩸⫘⪎⋱⫍A45)","cot":[{"info":"⪎⋱⫍33B5⨐⩸⫘⪎⋱⫍A45=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":876,"expression_no_base_symbol":"($5273$⪒$3695$)≧⫂∧(↔$2657$)","expression":"(⪎⋱⫍2528⪒⪎⋱⫍18B3)≧⫂∧(↔⪎⋱⫍1295)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5273,"base":13},"right_expr":{"type":"numeric_atoms","value":3695,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2657,"base":13}}},"used_operators":["Ph9nP6C5qx","f6k1SAg4EE","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍-2CC6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5273","layer":2},{"info":"number node, value=3695","layer":2},{"info":"compute binary expreesion, left_input=5273, right_input=3695, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8968","layer":1},{"info":"number node, value=2657","layer":2},{"info":"compute unary expreesion, input=2657, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2384","layer":1},{"info":"compute binary expreesion, left_input=-8968, right_input=-2384, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-6584","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2528⪒⪎⋱⫍18B3)≧⫂∧(↔⪎⋱⫍1295)=⪎⋱⫍-2CC6","reverse_text":"⪎⋱⫍-2CC6=(⪎⋱⫍2528⪒⪎⋱⫍18B3)≧⫂∧(↔⪎⋱⫍1295)","cot":[{"info":"⪎⋱⫍2528⪒⪎⋱⫍18B3=⪎⋱⫍-410B","layer":1},{"info":"↔⪎⋱⫍1295=⪎⋱⫍-1115","layer":1},{"info":"⪎⋱⫍-410B≧⫂∧⪎⋱⫍-1115=⪎⋱⫍-2CC6","layer":0}]}
{"id":877,"expression_no_base_symbol":"⫛⫱⨽($6130$∀⇚≩$5857$)","expression":"⫛⫱⨽(⪎⋱⫍2A37∀⇚≩⪎⋱⫍2887)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43822,"operation_count":2,"complexity_ratio":21911.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6130,"base":13},"right_expr":{"type":"numeric_atoms","value":5857,"base":13}}},"used_operators":["DlLNRPXxWL","LRNGc0VcxI"],"dependent_operators":["rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6130","layer":2},{"info":"number node, value=5857","layer":2},{"info":"compute binary expreesion, left_input=6130, right_input=5857, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(⪎⋱⫍2A37∀⇚≩⪎⋱⫍2887)=NaN","reverse_text":"NaN=⫛⫱⨽(⪎⋱⫍2A37∀⇚≩⪎⋱⫍2887)","cot":[{"info":"⪎⋱⫍2A37∀⇚≩⪎⋱⫍2887=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"$4350$∼$4014$↙$2883$⪘⫢$1282$","expression":"⪎⋱⫍1C98∼⪎⋱⫍1A9A↙⪎⋱⫍140A⪘⫢⪎⋱⫍778","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4350,"base":13},"right_expr":{"type":"numeric_atoms","value":4014,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2883,"base":13},"right_expr":{"type":"numeric_atoms","value":1282,"base":13}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","oacrs7FA3X"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4350","layer":2},{"info":"number node, value=4014","layer":2},{"info":"compute binary expreesion, left_input=4350, right_input=4014, 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=2883","layer":2},{"info":"number node, value=1282","layer":2},{"info":"compute binary expreesion, left_input=2883, right_input=1282, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5642, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1C98∼⪎⋱⫍1A9A↙⪎⋱⫍140A⪘⫢⪎⋱⫍778=NaN","reverse_text":"NaN=⪎⋱⫍1C98∼⪎⋱⫍1A9A↙⪎⋱⫍140A⪘⫢⪎⋱⫍778","cot":[{"info":"⪎⋱⫍1C98∼⪎⋱⫍1A9A=NaN","layer":1},{"info":"⪎⋱⫍140A⪘⫢⪎⋱⫍778=⪎⋱⫍2750","layer":1},{"info":"NaN↙⪎⋱⫍2750=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"$1260$%$6048$⪨≂$1131$≧⫂∧$4550$","expression":"⪎⋱⫍75C%⪎⋱⫍29A3⪨≂⪎⋱⫍690≧⫂∧⪎⋱⫍20C0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1260,"base":13},"right_expr":{"type":"numeric_atoms","value":6048,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1131,"base":13},"right_expr":{"type":"numeric_atoms","value":4550,"base":13}}},"used_operators":["sdazOOVcIp","k8jYdgA6NY","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2697","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":2},{"info":"number node, value=6048","layer":2},{"info":"compute binary expreesion, left_input=1260, right_input=6048, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1260","layer":1},{"info":"number node, value=1131","layer":2},{"info":"number node, value=4550","layer":2},{"info":"compute binary expreesion, left_input=1131, right_input=4550, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4077","layer":1},{"info":"compute binary expreesion, left_input=1260, right_input=4077, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5532","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍75C%⪎⋱⫍29A3⪨≂⪎⋱⫍690≧⫂∧⪎⋱⫍20C0=⪎⋱⫍-2697","reverse_text":"⪎⋱⫍-2697=⪎⋱⫍75C%⪎⋱⫍29A3⪨≂⪎⋱⫍690≧⫂∧⪎⋱⫍20C0","cot":[{"info":"⪎⋱⫍75C%⪎⋱⫍29A3=⪎⋱⫍75C","layer":1},{"info":"⪎⋱⫍690≧⫂∧⪎⋱⫍20C0=⪎⋱⫍1B18","layer":1},{"info":"⪎⋱⫍75C⪨≂⪎⋱⫍1B18=⪎⋱⫍-2697","layer":0}]}
{"id":880,"expression_no_base_symbol":"$6383$≧⫂∧$3887$⨳⩥⨓($9242$⊉≛↸$2517$)","expression":"⪎⋱⫍2BA0≧⫂∧⪎⋱⫍1A00⨳⩥⨓(⪎⋱⫍428C⊉≛↸⪎⋱⫍11B8)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6383,"base":13},"right_expr":{"type":"numeric_atoms","value":3887,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9242,"base":13},"right_expr":{"type":"numeric_atoms","value":2517,"base":13}}},"used_operators":["nCS4ZIUYfx","Ph9nP6C5qx","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍6B23","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6383","layer":2},{"info":"number node, value=3887","layer":2},{"info":"compute binary expreesion, left_input=6383, right_input=3887, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3414","layer":1},{"info":"number node, value=9242","layer":2},{"info":"number node, value=2517","layer":2},{"info":"compute binary expreesion, left_input=9242, right_input=2517, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18484","layer":1},{"info":"compute binary expreesion, left_input=3414, right_input=18484, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15070","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2BA0≧⫂∧⪎⋱⫍1A00⨳⩥⨓(⪎⋱⫍428C⊉≛↸⪎⋱⫍11B8)=⪎⋱⫍6B23","reverse_text":"⪎⋱⫍6B23=⪎⋱⫍2BA0≧⫂∧⪎⋱⫍1A00⨳⩥⨓(⪎⋱⫍428C⊉≛↸⪎⋱⫍11B8)","cot":[{"info":"⪎⋱⫍2BA0≧⫂∧⪎⋱⫍1A00=⪎⋱⫍1728","layer":1},{"info":"⪎⋱⫍428C⊉≛↸⪎⋱⫍11B8=⪎⋱⫍854B","layer":1},{"info":"⪎⋱⫍1728⨳⩥⨓⪎⋱⫍854B=⪎⋱⫍6B23","layer":0}]}
{"id":881,"expression_no_base_symbol":"$2424$↺$6275$⫡⨏(↩$6046$)","expression":"⪎⋱⫍1146↺⪎⋱⫍2B19⫡⨏(↩⪎⋱⫍29A1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2424,"base":13},"right_expr":{"type":"numeric_atoms","value":6275,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6046,"base":13}}},"used_operators":["QMFrweE19q","7j4O788W3g","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-20B2B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2424","layer":2},{"info":"number node, value=6275","layer":2},{"info":"compute binary expreesion, left_input=2424, right_input=6275, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6275","layer":1},{"info":"number node, value=6046","layer":2},{"info":"compute unary expreesion, input=6046, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-45588","layer":1},{"info":"compute binary expreesion, left_input=6275, right_input=-45588, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-59018","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1146↺⪎⋱⫍2B19⫡⨏(↩⪎⋱⫍29A1)=⪎⋱⫍-20B2B","reverse_text":"⪎⋱⫍-20B2B=⪎⋱⫍1146↺⪎⋱⫍2B19⫡⨏(↩⪎⋱⫍29A1)","cot":[{"info":"⪎⋱⫍1146↺⪎⋱⫍2B19=⪎⋱⫍2B19","layer":1},{"info":"↩⪎⋱⫍29A1=⪎⋱⫍-1799A","layer":1},{"info":"⪎⋱⫍2B19⫡⨏⪎⋱⫍-1799A=⪎⋱⫍-20B2B","layer":0}]}
{"id":882,"expression_no_base_symbol":"($2853$⊭↱$3592$)≎⊠⪸$1538$≹⇙⪍$2451$","expression":"(⪎⋱⫍13B6⊭↱⪎⋱⫍1834)≎⊠⪸⪎⋱⫍914≹⇙⪍⪎⋱⫍1167","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2853,"base":13},"right_expr":{"type":"numeric_atoms","value":3592,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1538,"base":13},"right_expr":{"type":"numeric_atoms","value":2451,"base":13}}},"used_operators":["bJkvcejdHO","COABgblf1C","AHs5Up7iyr"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2853","layer":2},{"info":"number node, value=3592","layer":2},{"info":"compute binary expreesion, left_input=2853, right_input=3592, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1483","layer":1},{"info":"number node, value=1538","layer":2},{"info":"number node, value=2451","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=2451, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1483, 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":13,"result_base":13,"text":"(⪎⋱⫍13B6⊭↱⪎⋱⫍1834)≎⊠⪸⪎⋱⫍914≹⇙⪍⪎⋱⫍1167=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍13B6⊭↱⪎⋱⫍1834)≎⊠⪸⪎⋱⫍914≹⇙⪍⪎⋱⫍1167","cot":[{"info":"⪎⋱⫍13B6⊭↱⪎⋱⫍1834=⪎⋱⫍8A1","layer":1},{"info":"⪎⋱⫍914≹⇙⪍⪎⋱⫍1167=NaN","layer":1},{"info":"⪎⋱⫍8A1≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":883,"expression_no_base_symbol":"($1582$≫≃)↛⩡⫤","expression":"(⪎⋱⫍949≫≃)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13836,"operation_count":2,"complexity_ratio":6918.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1582,"base":13}}},"used_operators":["FU0Cs4j7VP","X99M06cbEe"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⪎⋱⫍-1ACC85","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":2},{"info":"compute unary expreesion, input=1582, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4565","layer":1},{"info":"compute unary expreesion, input=4565, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-685404","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍949≫≃)↛⩡⫤=⪎⋱⫍-1ACC85","reverse_text":"⪎⋱⫍-1ACC85=(⪎⋱⫍949≫≃)↛⩡⫤","cot":[{"info":"⪎⋱⫍949≫≃=⪎⋱⫍2102","layer":1},{"info":"⪎⋱⫍2102↛⩡⫤=⪎⋱⫍-1ACC85","layer":0}]}
{"id":884,"expression_no_base_symbol":"($2133$⨐⩸⫘$5491$)⇷($2848$⩷∴$1191$)","expression":"(⪎⋱⫍C81⨐⩸⫘⪎⋱⫍2665)⇷(⪎⋱⫍13B1⩷∴⪎⋱⫍708)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2133,"base":13},"right_expr":{"type":"numeric_atoms","value":5491,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2848,"base":13},"right_expr":{"type":"numeric_atoms","value":1191,"base":13}}},"used_operators":["mp7IySMOzn","fu6greOZ01","9FxExcQeMw"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z"],"result":"⪎⋱⫍2CAC","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2133","layer":2},{"info":"number node, value=5491","layer":2},{"info":"compute binary expreesion, left_input=2133, right_input=5491, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2848","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=2848, right_input=1191, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3282","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3282, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6564","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C81⨐⩸⫘⪎⋱⫍2665)⇷(⪎⋱⫍13B1⩷∴⪎⋱⫍708)=⪎⋱⫍2CAC","reverse_text":"⪎⋱⫍2CAC=(⪎⋱⫍C81⨐⩸⫘⪎⋱⫍2665)⇷(⪎⋱⫍13B1⩷∴⪎⋱⫍708)","cot":[{"info":"⪎⋱⫍C81⨐⩸⫘⪎⋱⫍2665=NaN","layer":1},{"info":"⪎⋱⫍13B1⩷∴⪎⋱⫍708=⪎⋱⫍1656","layer":1},{"info":"NaN⇷⪎⋱⫍1656=⪎⋱⫍2CAC","layer":0}]}
{"id":885,"expression_no_base_symbol":"(⨑⩽⪐$3471$)≎⊠⪸$1217$⊴$1617$","expression":"(⨑⩽⪐⪎⋱⫍1770)≎⊠⪸⪎⋱⫍728⊴⪎⋱⫍975","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1638,"operation_count":3,"complexity_ratio":546.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3471,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1217,"base":13},"right_expr":{"type":"numeric_atoms","value":1617,"base":13}}},"used_operators":["bJkvcejdHO","AF7qkfDlqP","Nsiff2A1zJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3471","layer":2},{"info":"compute unary expreesion, input=3471, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3198","layer":1},{"info":"number node, value=1217","layer":2},{"info":"number node, value=1617","layer":2},{"info":"compute binary expreesion, left_input=1217, right_input=1617, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3198, 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":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍1770)≎⊠⪸⪎⋱⫍728⊴⪎⋱⫍975=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⨑⩽⪐⪎⋱⫍1770)≎⊠⪸⪎⋱⫍728⊴⪎⋱⫍975","cot":[{"info":"⨑⩽⪐⪎⋱⫍1770=⪎⋱⫍-15C0","layer":1},{"info":"⪎⋱⫍728⊴⪎⋱⫍975=NaN","layer":1},{"info":"⪎⋱⫍-15C0≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":886,"expression_no_base_symbol":"($4877$+$4213$)⨐⩸⫘(⊄⩳↩$1614$)","expression":"(⪎⋱⫍22B2+⪎⋱⫍1BC1)⨐⩸⫘(⊄⩳↩⪎⋱⫍972)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4877,"base":13},"right_expr":{"type":"numeric_atoms","value":4213,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1614,"base":13}}},"used_operators":["fu6greOZ01","W4YGzv6Whe","8w2t5hMYqp"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4877","layer":2},{"info":"number node, value=4213","layer":2},{"info":"compute binary expreesion, left_input=4877, right_input=4213, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9090","layer":1},{"info":"number node, value=1614","layer":2},{"info":"compute unary expreesion, input=1614, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4842","layer":1},{"info":"compute binary expreesion, left_input=9090, right_input=-4842, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(⪎⋱⫍22B2+⪎⋱⫍1BC1)⨐⩸⫘(⊄⩳↩⪎⋱⫍972)=NaN","reverse_text":"NaN=(⪎⋱⫍22B2+⪎⋱⫍1BC1)⨐⩸⫘(⊄⩳↩⪎⋱⫍972)","cot":[{"info":"⪎⋱⫍22B2+⪎⋱⫍1BC1=⪎⋱⫍41A3","layer":1},{"info":"⊄⩳↩⪎⋱⫍972=⪎⋱⫍-2286","layer":1},{"info":"⪎⋱⫍41A3⨐⩸⫘⪎⋱⫍-2286=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"$2523$⋝⋈⪟$5860$⊘","expression":"⪎⋱⫍11C1⋝⋈⪟⪎⋱⫍288A⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2523,"base":13},"right_expr":{"type":"numeric_atoms","value":5860,"base":13}}},"used_operators":["gu96TGCTMs","2DDjHMKMc0"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2523","layer":2},{"info":"number node, value=5860","layer":2},{"info":"compute binary expreesion, left_input=2523, right_input=5860, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2523","layer":1},{"info":"compute unary expreesion, input=2523, 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":13,"result_base":13,"text":"⪎⋱⫍11C1⋝⋈⪟⪎⋱⫍288A⊘=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍11C1⋝⋈⪟⪎⋱⫍288A⊘","cot":[{"info":"⪎⋱⫍11C1⋝⋈⪟⪎⋱⫍288A=⪎⋱⫍11C1","layer":1},{"info":"⪎⋱⫍11C1⊘=⪎⋱⫍0","layer":0}]}
{"id":888,"expression_no_base_symbol":"↥$1782$⨓$1003$","expression":"↥⪎⋱⫍A71⨓⪎⋱⫍5C2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1028,"operation_count":2,"complexity_ratio":514.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1782,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}}},"used_operators":["A8NUZmVepG","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍11","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=1782, right_input=1003, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1006","layer":1},{"info":"compute unary expreesion, input=-1006, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":0}],"base":13,"result_base":13,"text":"↥⪎⋱⫍A71⨓⪎⋱⫍5C2=⪎⋱⫍11","reverse_text":"⪎⋱⫍11=↥⪎⋱⫍A71⨓⪎⋱⫍5C2","cot":[{"info":"⪎⋱⫍A71⨓⪎⋱⫍5C2=⪎⋱⫍-5C5","layer":1},{"info":"↥⪎⋱⫍-5C5=⪎⋱⫍11","layer":0}]}
{"id":889,"expression_no_base_symbol":"∥⊫($4081$⋷$1612$)","expression":"∥⊫(⪎⋱⫍1B1C⋷⪎⋱⫍970)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4081,"base":13},"right_expr":{"type":"numeric_atoms","value":1612,"base":13}}},"used_operators":["P8v4zCKN1o","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4081","layer":2},{"info":"number node, value=1612","layer":2},{"info":"compute binary expreesion, left_input=4081, right_input=1612, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-857","layer":1},{"info":"compute unary expreesion, input=-857, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍1B1C⋷⪎⋱⫍970)=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫(⪎⋱⫍1B1C⋷⪎⋱⫍970)","cot":[{"info":"⪎⋱⫍1B1C⋷⪎⋱⫍970=⪎⋱⫍-50C","layer":1},{"info":"∥⊫⪎⋱⫍-50C=⪎⋱⫍-43","layer":0}]}
{"id":890,"expression_no_base_symbol":"⫓⪴(∥⊫$2555$)","expression":"⫓⪴(∥⊫⪎⋱⫍1217)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3427,"operation_count":2,"complexity_ratio":1713.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2555,"base":13}}},"used_operators":["eLxqMNBOBk","P8v4zCKN1o"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍25731C3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":2},{"info":"compute unary expreesion, input=2555, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3423","layer":1},{"info":"compute unary expreesion, input=3423, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11716929","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(∥⊫⪎⋱⫍1217)=⪎⋱⫍25731C3","reverse_text":"⪎⋱⫍25731C3=⫓⪴(∥⊫⪎⋱⫍1217)","cot":[{"info":"∥⊫⪎⋱⫍1217=⪎⋱⫍1734","layer":1},{"info":"⫓⪴⪎⋱⫍1734=⪎⋱⫍25731C3","layer":0}]}
{"id":891,"expression_no_base_symbol":"$2009$⨓$1468$⨐⩸⫘$1793$⋓$5639$","expression":"⪎⋱⫍BB7⨓⪎⋱⫍88C⨐⩸⫘⪎⋱⫍A7C⋓⪎⋱⫍274A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1488,"operation_count":3,"complexity_ratio":496.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2009,"base":13},"right_expr":{"type":"numeric_atoms","value":1468,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1793,"base":13},"right_expr":{"type":"numeric_atoms","value":5639,"base":13}}},"used_operators":["fu6greOZ01","3ViojmjbAp","T2fj7uvVaJ"],"dependent_operators":["3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍-892","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2009","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=2009, right_input=1468, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1471","layer":1},{"info":"number node, value=1793","layer":2},{"info":"number node, value=5639","layer":2},{"info":"compute binary expreesion, left_input=1793, right_input=5639, op_id = T2fj7uvVaJ binary_op_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=-1471, 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=-1471","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍BB7⨓⪎⋱⫍88C⨐⩸⫘⪎⋱⫍A7C⋓⪎⋱⫍274A=⪎⋱⫍-892","reverse_text":"⪎⋱⫍-892=⪎⋱⫍BB7⨓⪎⋱⫍88C⨐⩸⫘⪎⋱⫍A7C⋓⪎⋱⫍274A","cot":[{"info":"⪎⋱⫍BB7⨓⪎⋱⫍88C=⪎⋱⫍-892","layer":1},{"info":"⪎⋱⫍A7C⋓⪎⋱⫍274A=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-892⨐⩸⫘⪎⋱⫍0=⪎⋱⫍-892","layer":0}]}
{"id":892,"expression_no_base_symbol":"($2526$⪘⫢$5044$)∧","expression":"(⪎⋱⫍11C4⪘⫢⪎⋱⫍23B0)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2526,"base":13},"right_expr":{"type":"numeric_atoms","value":5044,"base":13}}},"used_operators":["z63VuFQld9","oacrs7FA3X"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2526","layer":2},{"info":"number node, value=5044","layer":2},{"info":"compute binary expreesion, left_input=2526, 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=4928","layer":1},{"info":"compute unary expreesion, input=4928, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍11C4⪘⫢⪎⋱⫍23B0)∧=NaN","reverse_text":"NaN=(⪎⋱⫍11C4⪘⫢⪎⋱⫍23B0)∧","cot":[{"info":"⪎⋱⫍11C4⪘⫢⪎⋱⫍23B0=⪎⋱⫍2321","layer":1},{"info":"⪎⋱⫍2321∧=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"($5132$⫸⊐$6996$)⨎($7861$⊭↱$3132$)","expression":"(⪎⋱⫍244A⫸⊐⪎⋱⫍3252)⨎(⪎⋱⫍3769⊭↱⪎⋱⫍156C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5132,"base":13},"right_expr":{"type":"numeric_atoms","value":6996,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7861,"base":13},"right_expr":{"type":"numeric_atoms","value":3132,"base":13}}},"used_operators":["rJVOvQCfKK","mqXw5SEYmG","COABgblf1C"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-43C2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5132","layer":2},{"info":"number node, value=6996","layer":2},{"info":"compute binary expreesion, left_input=5132, right_input=6996, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27859","layer":1},{"info":"number node, value=7861","layer":2},{"info":"number node, value=3132","layer":2},{"info":"compute binary expreesion, left_input=7861, right_input=3132, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9453","layer":1},{"info":"compute binary expreesion, left_input=27859, right_input=-9453, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-9453","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍244A⫸⊐⪎⋱⫍3252)⨎(⪎⋱⫍3769⊭↱⪎⋱⫍156C)=⪎⋱⫍-43C2","reverse_text":"⪎⋱⫍-43C2=(⪎⋱⫍244A⫸⊐⪎⋱⫍3252)⨎(⪎⋱⫍3769⊭↱⪎⋱⫍156C)","cot":[{"info":"⪎⋱⫍244A⫸⊐⪎⋱⫍3252=⪎⋱⫍C8B0","layer":1},{"info":"⪎⋱⫍3769⊭↱⪎⋱⫍156C=⪎⋱⫍-43C2","layer":1},{"info":"⪎⋱⫍C8B0⨎⪎⋱⫍-43C2=⪎⋱⫍-43C2","layer":0}]}
{"id":894,"expression_no_base_symbol":"$2278$+⇶⊼$1087$⨸⪁$6744$≎⊠⪸$2833$","expression":"⪎⋱⫍1063+⇶⊼⪎⋱⫍658⨸⪁⪎⋱⫍30BA≎⊠⪸⪎⋱⫍139C","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2278,"base":13},"right_expr":{"type":"numeric_atoms","value":1087,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6744,"base":13},"right_expr":{"type":"numeric_atoms","value":2833,"base":13}}},"used_operators":["g55IO6H4Gj","TpPTUOHfaN","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":2},{"info":"number node, value=1087","layer":2},{"info":"compute binary expreesion, left_input=2278, right_input=1087, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=6744","layer":2},{"info":"number node, value=2833","layer":2},{"info":"compute binary expreesion, left_input=6744, right_input=2833, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1746223","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1746223, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1063+⇶⊼⪎⋱⫍658⨸⪁⪎⋱⫍30BA≎⊠⪸⪎⋱⫍139C=NaN","reverse_text":"NaN=⪎⋱⫍1063+⇶⊼⪎⋱⫍658⨸⪁⪎⋱⫍30BA≎⊠⪸⪎⋱⫍139C","cot":[{"info":"⪎⋱⫍1063+⇶⊼⪎⋱⫍658=NaN","layer":1},{"info":"⪎⋱⫍30BA≎⊠⪸⪎⋱⫍139C=⪎⋱⫍491A8B","layer":1},{"info":"NaN⨸⪁⪎⋱⫍491A8B=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"($1809$≫≃)⨟⋌⩍($3036$⫸⊐$3665$)","expression":"(⪎⋱⫍A92≫≃)⨟⋌⩍(⪎⋱⫍14C7⫸⊐⪎⋱⫍188C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1809,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3036,"base":13},"right_expr":{"type":"numeric_atoms","value":3665,"base":13}}},"used_operators":["rGHVDoGpnC","X99M06cbEe","mqXw5SEYmG"],"dependent_operators":["Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":2},{"info":"compute unary expreesion, input=1809, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5019","layer":1},{"info":"number node, value=3036","layer":2},{"info":"number node, value=3665","layer":2},{"info":"compute binary expreesion, left_input=3036, right_input=3665, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14535","layer":1},{"info":"compute binary expreesion, left_input=5019, right_input=14535, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍A92≫≃)⨟⋌⩍(⪎⋱⫍14C7⫸⊐⪎⋱⫍188C)=NaN","reverse_text":"NaN=(⪎⋱⫍A92≫≃)⨟⋌⩍(⪎⋱⫍14C7⫸⊐⪎⋱⫍188C)","cot":[{"info":"⪎⋱⫍A92≫≃=⪎⋱⫍2391","layer":1},{"info":"⪎⋱⫍14C7⫸⊐⪎⋱⫍188C=⪎⋱⫍6801","layer":1},{"info":"⪎⋱⫍2391⨟⋌⩍⪎⋱⫍6801=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(⫛⫱⨽$1739$)⪢($5302$∧)","expression":"(⫛⫱⨽⪎⋱⫍A3A)⪢(⪎⋱⫍254B∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1429,"operation_count":3,"complexity_ratio":476.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1739,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5302,"base":13}}},"used_operators":["dWAJyo7jo9","DlLNRPXxWL","z63VuFQld9"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1739","layer":2},{"info":"compute unary expreesion, input=1739, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=5302","layer":2},{"info":"compute unary expreesion, input=5302, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(⫛⫱⨽⪎⋱⫍A3A)⪢(⪎⋱⫍254B∧)=NaN","reverse_text":"NaN=(⫛⫱⨽⪎⋱⫍A3A)⪢(⪎⋱⫍254B∧)","cot":[{"info":"⫛⫱⨽⪎⋱⫍A3A=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍254B∧=NaN","layer":1},{"info":"⪎⋱⫍0⪢NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"⨵≀≌$1548$≎⊠⪸$7765$","expression":"⨵≀≌⪎⋱⫍921≎⊠⪸⪎⋱⫍36C4","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":273,"operation_count":2,"complexity_ratio":136.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1548,"base":13},"right_expr":{"type":"numeric_atoms","value":7765,"base":13}}},"used_operators":["srAu1WTS94","bJkvcejdHO"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-330A98","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1548","layer":2},{"info":"number node, value=7765","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=7765, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=400459","layer":1},{"info":"compute unary expreesion, input=400459, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1201377","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌⪎⋱⫍921≎⊠⪸⪎⋱⫍36C4=⪎⋱⫍-330A98","reverse_text":"⪎⋱⫍-330A98=⨵≀≌⪎⋱⫍921≎⊠⪸⪎⋱⫍36C4","cot":[{"info":"⪎⋱⫍921≎⊠⪸⪎⋱⫍36C4=⪎⋱⫍110377","layer":1},{"info":"⨵≀≌⪎⋱⫍110377=⪎⋱⫍-330A98","layer":0}]}
{"id":898,"expression_no_base_symbol":"$1149$⪛$1569$⩤","expression":"⪎⋱⫍6A5⪛⪎⋱⫍939⩤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1149,"base":13},"right_expr":{"type":"numeric_atoms","value":1569,"base":13}}},"used_operators":["Z2TMIBDE3Q","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-6A5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=1569","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=1569, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1149","layer":1},{"info":"compute unary expreesion, input=1149, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1149","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍6A5⪛⪎⋱⫍939⩤=⪎⋱⫍-6A5","reverse_text":"⪎⋱⫍-6A5=⪎⋱⫍6A5⪛⪎⋱⫍939⩤","cot":[{"info":"⪎⋱⫍6A5⪛⪎⋱⫍939=⪎⋱⫍6A5","layer":1},{"info":"⪎⋱⫍6A5⩤=⪎⋱⫍-6A5","layer":0}]}
{"id":899,"expression_no_base_symbol":"$1020$∀⇚≩$7440$⊠≄⫣","expression":"⪎⋱⫍606∀⇚≩⪎⋱⫍3504⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7143,"operation_count":2,"complexity_ratio":3571.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1020,"base":13},"right_expr":{"type":"numeric_atoms","value":7440,"base":13}}},"used_operators":["DIvbN7qnHd","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"number node, value=7440","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=7440, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"⪎⋱⫍606∀⇚≩⪎⋱⫍3504⊠≄⫣=NaN","reverse_text":"NaN=⪎⋱⫍606∀⇚≩⪎⋱⫍3504⊠≄⫣","cot":[{"info":"⪎⋱⫍606∀⇚≩⪎⋱⫍3504=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"($7219$⊉≛↸$1416$)⊦⊿","expression":"(⪎⋱⫍3394⊉≛↸⪎⋱⫍84C)⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7219,"base":13},"right_expr":{"type":"numeric_atoms","value":1416,"base":13}}},"used_operators":["14qkJME0vr","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1699C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7219","layer":2},{"info":"number node, value=1416","layer":2},{"info":"compute binary expreesion, left_input=7219, right_input=1416, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14438","layer":1},{"info":"compute unary expreesion, input=14438, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-43393","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3394⊉≛↸⪎⋱⫍84C)⊦⊿=⪎⋱⫍-1699C","reverse_text":"⪎⋱⫍-1699C=(⪎⋱⫍3394⊉≛↸⪎⋱⫍84C)⊦⊿","cot":[{"info":"⪎⋱⫍3394⊉≛↸⪎⋱⫍84C=⪎⋱⫍6758","layer":1},{"info":"⪎⋱⫍6758⊦⊿=⪎⋱⫍-1699C","layer":0}]}
{"id":901,"expression_no_base_symbol":"($1689$↙$1132$)↬($4227$∧)","expression":"(⪎⋱⫍9CC↙⪎⋱⫍691)↬(⪎⋱⫍1C02∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1142,"operation_count":3,"complexity_ratio":380.6666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1689,"base":13},"right_expr":{"type":"numeric_atoms","value":1132,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4227,"base":13}}},"used_operators":["B5M0gjZbta","yyfyN0ffXY","z63VuFQld9"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":2},{"info":"number node, value=1132","layer":2},{"info":"compute binary expreesion, left_input=1689, right_input=1132, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3396","layer":1},{"info":"number node, value=4227","layer":2},{"info":"compute unary expreesion, input=4227, 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=-3396, 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":13,"result_base":13,"text":"(⪎⋱⫍9CC↙⪎⋱⫍691)↬(⪎⋱⫍1C02∧)=NaN","reverse_text":"NaN=(⪎⋱⫍9CC↙⪎⋱⫍691)↬(⪎⋱⫍1C02∧)","cot":[{"info":"⪎⋱⫍9CC↙⪎⋱⫍691=⪎⋱⫍-1713","layer":1},{"info":"⪎⋱⫍1C02∧=NaN","layer":1},{"info":"⪎⋱⫍-1713↬NaN=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"(⋗⩬⋾$3319$)⇼⇔∾$4114$⋝⋈⪟$4323$","expression":"(⋗⩬⋾⪎⋱⫍1684)⇼⇔∾⪎⋱⫍1B46⋝⋈⪟⪎⋱⫍1C77","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3319,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4114,"base":13},"right_expr":{"type":"numeric_atoms","value":4323,"base":13}}},"used_operators":["tifHPKVTfV","DpFCA1CohY","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍6535","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3319","layer":2},{"info":"compute unary expreesion, input=3319, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9957","layer":1},{"info":"number node, value=4114","layer":2},{"info":"number node, value=4323","layer":2},{"info":"compute binary expreesion, left_input=4114, right_input=4323, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4114","layer":1},{"info":"compute binary expreesion, left_input=-9957, right_input=4114, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=14071","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍1684)⇼⇔∾⪎⋱⫍1B46⋝⋈⪟⪎⋱⫍1C77=⪎⋱⫍6535","reverse_text":"⪎⋱⫍6535=(⋗⩬⋾⪎⋱⫍1684)⇼⇔∾⪎⋱⫍1B46⋝⋈⪟⪎⋱⫍1C77","cot":[{"info":"⋗⩬⋾⪎⋱⫍1684=⪎⋱⫍-46BC","layer":1},{"info":"⪎⋱⫍1B46⋝⋈⪟⪎⋱⫍1C77=⪎⋱⫍1B46","layer":1},{"info":"⪎⋱⫍-46BC⇼⇔∾⪎⋱⫍1B46=⪎⋱⫍6535","layer":0}]}
{"id":903,"expression_no_base_symbol":"⨈⫕(↥$1278$)","expression":"⨈⫕(↥⪎⋱⫍774)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":411,"operation_count":2,"complexity_ratio":205.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1278,"base":13}}},"used_operators":["megm06wKyl","A8NUZmVepG"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":2},{"info":"compute unary expreesion, input=1278, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=3","layer":1},{"info":"compute unary expreesion, input=3, 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":13,"result_base":13,"text":"⨈⫕(↥⪎⋱⫍774)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(↥⪎⋱⫍774)","cot":[{"info":"↥⪎⋱⫍774=⪎⋱⫍3","layer":1},{"info":"⨈⫕⪎⋱⫍3=⪎⋱⫍-18","layer":0}]}
{"id":904,"expression_no_base_symbol":"($5449$⋥≓≎$4202$)⋥≓≎(⨵≀≌$3115$)","expression":"(⪎⋱⫍2632⋥≓≎⪎⋱⫍1BB3)⋥≓≎(⨵≀≌⪎⋱⫍1558)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5449,"base":13},"right_expr":{"type":"numeric_atoms","value":4202,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3115,"base":13}}},"used_operators":["Qy55tPpLXF","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⪎⋱⫍-9B10","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5449","layer":2},{"info":"number node, value=4202","layer":2},{"info":"compute binary expreesion, left_input=5449, right_input=4202, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2988","layer":1},{"info":"number node, value=3115","layer":2},{"info":"compute unary expreesion, input=3115, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9345","layer":1},{"info":"compute binary expreesion, left_input=2988, right_input=-9345, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-21645","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2632⋥≓≎⪎⋱⫍1BB3)⋥≓≎(⨵≀≌⪎⋱⫍1558)=⪎⋱⫍-9B10","reverse_text":"⪎⋱⫍-9B10=(⪎⋱⫍2632⋥≓≎⪎⋱⫍1BB3)⋥≓≎(⨵≀≌⪎⋱⫍1558)","cot":[{"info":"⪎⋱⫍2632⋥≓≎⪎⋱⫍1BB3=⪎⋱⫍148B","layer":1},{"info":"⨵≀≌⪎⋱⫍1558=⪎⋱⫍-433B","layer":1},{"info":"⪎⋱⫍148B⋥≓≎⪎⋱⫍-433B=⪎⋱⫍-9B10","layer":0}]}
{"id":905,"expression_no_base_symbol":"($2679$%$4723$)⊠≄⫣","expression":"(⪎⋱⫍12B1%⪎⋱⫍21C4)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2679,"base":13},"right_expr":{"type":"numeric_atoms","value":4723,"base":13}}},"used_operators":["DIvbN7qnHd","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2679","layer":2},{"info":"number node, value=4723","layer":2},{"info":"compute binary expreesion, left_input=2679, right_input=4723, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2679","layer":1},{"info":"compute unary expreesion, input=2679, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍12B1%⪎⋱⫍21C4)⊠≄⫣=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍12B1%⪎⋱⫍21C4)⊠≄⫣","cot":[{"info":"⪎⋱⫍12B1%⪎⋱⫍21C4=⪎⋱⫍12B1","layer":1},{"info":"⪎⋱⫍12B1⊠≄⫣=⪎⋱⫍0","layer":0}]}
{"id":906,"expression_no_base_symbol":"↔($1645$-$1342$)","expression":"↔(⪎⋱⫍997-⪎⋱⫍7C3)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1645,"base":13},"right_expr":{"type":"numeric_atoms","value":1342,"base":13}}},"used_operators":["ruOEQAzv1W","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍-24","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1645","layer":2},{"info":"number node, value=1342","layer":2},{"info":"compute binary expreesion, left_input=1645, right_input=1342, op_id = rysDP5nf3Z binary_op_definition= 'None', output=303","layer":1},{"info":"compute unary expreesion, input=303, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-30","layer":0}],"base":13,"result_base":13,"text":"↔(⪎⋱⫍997-⪎⋱⫍7C3)=⪎⋱⫍-24","reverse_text":"⪎⋱⫍-24=↔(⪎⋱⫍997-⪎⋱⫍7C3)","cot":[{"info":"⪎⋱⫍997-⪎⋱⫍7C3=⪎⋱⫍1A4","layer":1},{"info":"↔⪎⋱⫍1A4=⪎⋱⫍-24","layer":0}]}
{"id":907,"expression_no_base_symbol":"⨈⫕($1097$⊭↱$2029$)","expression":"⨈⫕(⪎⋱⫍665⊭↱⪎⋱⫍C01)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":392,"operation_count":2,"complexity_ratio":196.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1097,"base":13},"right_expr":{"type":"numeric_atoms","value":2029,"base":13}}},"used_operators":["megm06wKyl","COABgblf1C"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1097","layer":2},{"info":"number node, value=2029","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=2029, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1869","layer":1},{"info":"compute unary expreesion, input=1869, 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":13,"result_base":13,"text":"⨈⫕(⪎⋱⫍665⊭↱⪎⋱⫍C01)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⪎⋱⫍665⊭↱⪎⋱⫍C01)","cot":[{"info":"⪎⋱⫍665⊭↱⪎⋱⫍C01=⪎⋱⫍B0A","layer":1},{"info":"⨈⫕⪎⋱⫍B0A=⪎⋱⫍-18","layer":0}]}
{"id":908,"expression_no_base_symbol":"⇁⨣⪵$2976$↺$4767$","expression":"⇁⨣⪵⪎⋱⫍147C↺⪎⋱⫍2229","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2976,"base":13},"right_expr":{"type":"numeric_atoms","value":4767,"base":13}}},"used_operators":["inkyxCbjAn","7j4O788W3g"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2976","layer":2},{"info":"number node, value=4767","layer":2},{"info":"compute binary expreesion, left_input=2976, right_input=4767, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4767","layer":1},{"info":"compute unary expreesion, input=4767, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵⪎⋱⫍147C↺⪎⋱⫍2229=NaN","reverse_text":"NaN=⇁⨣⪵⪎⋱⫍147C↺⪎⋱⫍2229","cot":[{"info":"⪎⋱⫍147C↺⪎⋱⫍2229=⪎⋱⫍2229","layer":1},{"info":"⇁⨣⪵⪎⋱⫍2229=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"($2486$⊭↱$3583$)≹⇙⪍(⨰⫟⨤$2492$)","expression":"(⪎⋱⫍1193⊭↱⪎⋱⫍1828)≹⇙⪍(⨰⫟⨤⪎⋱⫍1199)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9135,"operation_count":3,"complexity_ratio":3045.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2486,"base":13},"right_expr":{"type":"numeric_atoms","value":3583,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2492,"base":13}}},"used_operators":["AHs5Up7iyr","COABgblf1C","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2486","layer":2},{"info":"number node, value=3583","layer":2},{"info":"compute binary expreesion, left_input=2486, right_input=3583, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2199","layer":1},{"info":"number node, value=2492","layer":2},{"info":"compute unary expreesion, input=2492, 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=2199, 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":13,"result_base":13,"text":"(⪎⋱⫍1193⊭↱⪎⋱⫍1828)≹⇙⪍(⨰⫟⨤⪎⋱⫍1199)=NaN","reverse_text":"NaN=(⪎⋱⫍1193⊭↱⪎⋱⫍1828)≹⇙⪍(⨰⫟⨤⪎⋱⫍1199)","cot":[{"info":"⪎⋱⫍1193⊭↱⪎⋱⫍1828=⪎⋱⫍1002","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1199=NaN","layer":1},{"info":"⪎⋱⫍1002≹⇙⪍NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"($6202$⨁⊸⫻)⪘⫢($8254$⨸⪁$1028$)","expression":"(⪎⋱⫍2A91⨁⊸⫻)⪘⫢(⪎⋱⫍39AC⨸⪁⪎⋱⫍611)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6202,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8254,"base":13},"right_expr":{"type":"numeric_atoms","value":1028,"base":13}}},"used_operators":["oacrs7FA3X","glklzrTFfD","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍5788","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6202","layer":2},{"info":"compute unary expreesion, input=6202, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6202","layer":1},{"info":"number node, value=8254","layer":2},{"info":"number node, value=1028","layer":2},{"info":"compute binary expreesion, left_input=8254, right_input=1028, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18564","layer":1},{"info":"compute binary expreesion, left_input=6202, right_input=18564, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12280","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2A91⨁⊸⫻)⪘⫢(⪎⋱⫍39AC⨸⪁⪎⋱⫍611)=⪎⋱⫍5788","reverse_text":"⪎⋱⫍5788=(⪎⋱⫍2A91⨁⊸⫻)⪘⫢(⪎⋱⫍39AC⨸⪁⪎⋱⫍611)","cot":[{"info":"⪎⋱⫍2A91⨁⊸⫻=⪎⋱⫍2A91","layer":1},{"info":"⪎⋱⫍39AC⨸⪁⪎⋱⫍611=⪎⋱⫍85B0","layer":1},{"info":"⪎⋱⫍2A91⪘⫢⪎⋱⫍85B0=⪎⋱⫍5788","layer":0}]}
{"id":911,"expression_no_base_symbol":"($3753$⋝⋈⪟$1670$)⪢($4396$⊘)","expression":"(⪎⋱⫍1929⋝⋈⪟⪎⋱⫍9B6)⪢(⪎⋱⫍2002⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3753,"base":13},"right_expr":{"type":"numeric_atoms","value":1670,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4396,"base":13}}},"used_operators":["dWAJyo7jo9","2DDjHMKMc0","gu96TGCTMs"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3753","layer":2},{"info":"number node, value=1670","layer":2},{"info":"compute binary expreesion, left_input=3753, right_input=1670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3753","layer":1},{"info":"number node, value=4396","layer":2},{"info":"compute unary expreesion, input=4396, 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=3753, 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":13,"result_base":13,"text":"(⪎⋱⫍1929⋝⋈⪟⪎⋱⫍9B6)⪢(⪎⋱⫍2002⊘)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1929⋝⋈⪟⪎⋱⫍9B6)⪢(⪎⋱⫍2002⊘)","cot":[{"info":"⪎⋱⫍1929⋝⋈⪟⪎⋱⫍9B6=⪎⋱⫍1929","layer":1},{"info":"⪎⋱⫍2002⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1929⪢⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":912,"expression_no_base_symbol":"($1198$≎⊠⪸$8272$)∑⇟⊟($2142$⋥≓≎$2378$)","expression":"(⪎⋱⫍712≎⊠⪸⪎⋱⫍39C4)∑⇟⊟(⪎⋱⫍C8A⋥≓≎⪎⋱⫍110C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":275,"operation_count":3,"complexity_ratio":91.66666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1198,"base":13},"right_expr":{"type":"numeric_atoms","value":8272,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2142,"base":13},"right_expr":{"type":"numeric_atoms","value":2378,"base":13}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":2},{"info":"number node, value=8272","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=8272, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=309809","layer":1},{"info":"number node, value=2142","layer":2},{"info":"number node, value=2378","layer":2},{"info":"compute binary expreesion, left_input=2142, right_input=2378, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2647","layer":1},{"info":"compute binary expreesion, left_input=309809, right_input=2647, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍712≎⊠⪸⪎⋱⫍39C4)∑⇟⊟(⪎⋱⫍C8A⋥≓≎⪎⋱⫍110C)=NaN","reverse_text":"NaN=(⪎⋱⫍712≎⊠⪸⪎⋱⫍39C4)∑⇟⊟(⪎⋱⫍C8A⋥≓≎⪎⋱⫍110C)","cot":[{"info":"⪎⋱⫍712≎⊠⪸⪎⋱⫍39C4=⪎⋱⫍AB026","layer":1},{"info":"⪎⋱⫍C8A⋥≓≎⪎⋱⫍110C=⪎⋱⫍1288","layer":1},{"info":"⪎⋱⫍AB026∑⇟⊟⪎⋱⫍1288=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"$2383$⋳⪒$9194$∲⫓$3024$↺$6182$","expression":"⪎⋱⫍1114⋳⪒⪎⋱⫍4253∲⫓⪎⋱⫍14B8↺⪎⋱⫍2A77","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2383,"base":13},"right_expr":{"type":"numeric_atoms","value":9194,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3024,"base":13},"right_expr":{"type":"numeric_atoms","value":6182,"base":13}}},"used_operators":["i8ToyICDmI","12rbrZMWeM","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2383","layer":2},{"info":"number node, value=9194","layer":2},{"info":"compute binary expreesion, left_input=2383, right_input=9194, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4715","layer":1},{"info":"number node, value=3024","layer":2},{"info":"number node, value=6182","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=6182, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6182","layer":1},{"info":"compute binary expreesion, left_input=-4715, right_input=6182, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1114⋳⪒⪎⋱⫍4253∲⫓⪎⋱⫍14B8↺⪎⋱⫍2A77=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍1114⋳⪒⪎⋱⫍4253∲⫓⪎⋱⫍14B8↺⪎⋱⫍2A77","cot":[{"info":"⪎⋱⫍1114⋳⪒⪎⋱⫍4253=⪎⋱⫍-21B9","layer":1},{"info":"⪎⋱⫍14B8↺⪎⋱⫍2A77=⪎⋱⫍2A77","layer":1},{"info":"⪎⋱⫍-21B9∲⫓⪎⋱⫍2A77=⪎⋱⫍0","layer":0}]}
{"id":914,"expression_no_base_symbol":"⨑⩽⪐$1000$⨪↰⇹$1314$","expression":"⨑⩽⪐⪎⋱⫍5BC⨪↰⇹⪎⋱⫍7A1","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1004,"operation_count":2,"complexity_ratio":502.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":1314,"base":13}}},"used_operators":["AF7qkfDlqP","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK"],"result":"⪎⋱⫍-43C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=1314","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=1314, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":1},{"info":"compute unary expreesion, input=1000, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-727","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐⪎⋱⫍5BC⨪↰⇹⪎⋱⫍7A1=⪎⋱⫍-43C","reverse_text":"⪎⋱⫍-43C=⨑⩽⪐⪎⋱⫍5BC⨪↰⇹⪎⋱⫍7A1","cot":[{"info":"⪎⋱⫍5BC⨪↰⇹⪎⋱⫍7A1=⪎⋱⫍5BC","layer":1},{"info":"⨑⩽⪐⪎⋱⫍5BC=⪎⋱⫍-43C","layer":0}]}
{"id":915,"expression_no_base_symbol":"$1009$⨓$3883$⫌⩹⨱","expression":"⪎⋱⫍5C8⨓⪎⋱⫍19C9⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3896,"operation_count":2,"complexity_ratio":1948.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":3883,"base":13}}},"used_operators":["EBcxylXtPf","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-2B91","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":2},{"info":"number node, value=3883","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=3883, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3886","layer":1},{"info":"compute unary expreesion, input=-3886, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-6371","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍5C8⨓⪎⋱⫍19C9⫌⩹⨱=⪎⋱⫍-2B91","reverse_text":"⪎⋱⫍-2B91=⪎⋱⫍5C8⨓⪎⋱⫍19C9⫌⩹⨱","cot":[{"info":"⪎⋱⫍5C8⨓⪎⋱⫍19C9=⪎⋱⫍-19CC","layer":1},{"info":"⪎⋱⫍-19CC⫌⩹⨱=⪎⋱⫍-2B91","layer":0}]}
{"id":916,"expression_no_base_symbol":"$2428$⪢$4054$⨰($3747$⫸⊐$1314$)","expression":"⪎⋱⫍114A⪢⪎⋱⫍1ACB⨰(⪎⋱⫍1923⫸⊐⪎⋱⫍7A1)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4084,"operation_count":3,"complexity_ratio":1361.3333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2428,"base":13},"right_expr":{"type":"numeric_atoms","value":4054,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3747,"base":13},"right_expr":{"type":"numeric_atoms","value":1314,"base":13}}},"used_operators":["eewbuw0ToL","dWAJyo7jo9","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2428","layer":2},{"info":"number node, value=4054","layer":2},{"info":"compute binary expreesion, left_input=2428, right_input=4054, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3747","layer":2},{"info":"number node, value=1314","layer":2},{"info":"compute binary expreesion, left_input=3747, right_input=1314, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5131","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5131, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍114A⪢⪎⋱⫍1ACB⨰(⪎⋱⫍1923⫸⊐⪎⋱⫍7A1)=NaN","reverse_text":"NaN=⪎⋱⫍114A⪢⪎⋱⫍1ACB⨰(⪎⋱⫍1923⫸⊐⪎⋱⫍7A1)","cot":[{"info":"⪎⋱⫍114A⪢⪎⋱⫍1ACB=NaN","layer":1},{"info":"⪎⋱⫍1923⫸⊐⪎⋱⫍7A1=⪎⋱⫍2449","layer":1},{"info":"NaN⨰⪎⋱⫍2449=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"⩦⩻⨪$1001$⇷$2257$","expression":"⩦⩻⨪⪎⋱⫍5C0⇷⪎⋱⫍1048","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14023,"operation_count":2,"complexity_ratio":7011.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":2257,"base":13}}},"used_operators":["2td37pGCOC","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍2093","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=2257","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=2257, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4514","layer":1},{"info":"compute unary expreesion, input=4514, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4514","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪⪎⋱⫍5C0⇷⪎⋱⫍1048=⪎⋱⫍2093","reverse_text":"⪎⋱⫍2093=⩦⩻⨪⪎⋱⫍5C0⇷⪎⋱⫍1048","cot":[{"info":"⪎⋱⫍5C0⇷⪎⋱⫍1048=⪎⋱⫍2093","layer":1},{"info":"⩦⩻⨪⪎⋱⫍2093=⪎⋱⫍2093","layer":0}]}
{"id":918,"expression_no_base_symbol":"⊄⩳↩(⨞⊢$1630$)","expression":"⊄⩳↩(⨞⊢⪎⋱⫍985)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1630,"base":13}}},"used_operators":["8w2t5hMYqp","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2604","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":2},{"info":"compute unary expreesion, input=1630, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1804","layer":1},{"info":"compute unary expreesion, input=-1804, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=5412","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⨞⊢⪎⋱⫍985)=⪎⋱⫍2604","reverse_text":"⪎⋱⫍2604=⊄⩳↩(⨞⊢⪎⋱⫍985)","cot":[{"info":"⨞⊢⪎⋱⫍985=⪎⋱⫍-A8A","layer":1},{"info":"⊄⩳↩⪎⋱⫍-A8A=⪎⋱⫍2604","layer":0}]}
{"id":919,"expression_no_base_symbol":"($5954$%$2896$)⪒($6169$⫌⩹⨱)","expression":"(⪎⋱⫍2930%⪎⋱⫍141A)⪒(⪎⋱⫍2A67⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5954,"base":13},"right_expr":{"type":"numeric_atoms","value":2896,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6169,"base":13}}},"used_operators":["f6k1SAg4EE","k8jYdgA6NY","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-6434","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5954","layer":2},{"info":"number node, value=2896","layer":2},{"info":"compute binary expreesion, left_input=5954, right_input=2896, op_id = k8jYdgA6NY binary_op_definition= 'None', output=162","layer":1},{"info":"number node, value=6169","layer":2},{"info":"compute unary expreesion, input=6169, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13739","layer":1},{"info":"compute binary expreesion, left_input=162, right_input=13739, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13901","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2930%⪎⋱⫍141A)⪒(⪎⋱⫍2A67⫌⩹⨱)=⪎⋱⫍-6434","reverse_text":"⪎⋱⫍-6434=(⪎⋱⫍2930%⪎⋱⫍141A)⪒(⪎⋱⫍2A67⫌⩹⨱)","cot":[{"info":"⪎⋱⫍2930%⪎⋱⫍141A=⪎⋱⫍C6","layer":1},{"info":"⪎⋱⫍2A67⫌⩹⨱=⪎⋱⫍633B","layer":1},{"info":"⪎⋱⫍C6⪒⪎⋱⫍633B=⪎⋱⫍-6434","layer":0}]}
{"id":920,"expression_no_base_symbol":"($2279$⇼⇔∾$4109$)⊴($1028$↺$1670$)","expression":"(⪎⋱⫍1064⇼⇔∾⪎⋱⫍1B41)⊴(⪎⋱⫍611↺⪎⋱⫍9B6)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1897,"operation_count":3,"complexity_ratio":632.3333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2279,"base":13},"right_expr":{"type":"numeric_atoms","value":4109,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1028,"base":13},"right_expr":{"type":"numeric_atoms","value":1670,"base":13}}},"used_operators":["Nsiff2A1zJ","tifHPKVTfV","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2279","layer":2},{"info":"number node, value=4109","layer":2},{"info":"compute binary expreesion, left_input=2279, right_input=4109, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1830","layer":1},{"info":"number node, value=1028","layer":2},{"info":"number node, value=1670","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=1670, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1670","layer":1},{"info":"compute binary expreesion, left_input=1830, right_input=1670, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1064⇼⇔∾⪎⋱⫍1B41)⊴(⪎⋱⫍611↺⪎⋱⫍9B6)=NaN","reverse_text":"NaN=(⪎⋱⫍1064⇼⇔∾⪎⋱⫍1B41)⊴(⪎⋱⫍611↺⪎⋱⫍9B6)","cot":[{"info":"⪎⋱⫍1064⇼⇔∾⪎⋱⫍1B41=⪎⋱⫍AAA","layer":1},{"info":"⪎⋱⫍611↺⪎⋱⫍9B6=⪎⋱⫍9B6","layer":1},{"info":"⪎⋱⫍AAA⊴⪎⋱⫍9B6=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"$1360$⇷$2484$⨵⪆$5502$⩚⊴⇥$2414$","expression":"⪎⋱⫍808⇷⪎⋱⫍1191⨵⪆⪎⋱⫍2673⩚⊴⇥⪎⋱⫍1139","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19050,"operation_count":3,"complexity_ratio":6350.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1360,"base":13},"right_expr":{"type":"numeric_atoms","value":2484,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5502,"base":13},"right_expr":{"type":"numeric_atoms","value":2414,"base":13}}},"used_operators":["2DQ55sFlQl","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":2},{"info":"number node, value=2484","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=2484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4968","layer":1},{"info":"number node, value=5502","layer":2},{"info":"number node, value=2414","layer":2},{"info":"compute binary expreesion, left_input=5502, right_input=2414, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8037","layer":1},{"info":"compute binary expreesion, left_input=4968, right_input=-8037, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍808⇷⪎⋱⫍1191⨵⪆⪎⋱⫍2673⩚⊴⇥⪎⋱⫍1139=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍808⇷⪎⋱⫍1191⨵⪆⪎⋱⫍2673⩚⊴⇥⪎⋱⫍1139","cot":[{"info":"⪎⋱⫍808⇷⪎⋱⫍1191=⪎⋱⫍2352","layer":1},{"info":"⪎⋱⫍2673⩚⊴⇥⪎⋱⫍1139=⪎⋱⫍-3873","layer":1},{"info":"⪎⋱⫍2352⨵⪆⪎⋱⫍-3873=⪎⋱⫍C4","layer":0}]}
{"id":922,"expression_no_base_symbol":"(↔$4642$)⫥∨⫟(⪝⪂⫅$2301$)","expression":"(↔⪎⋱⫍2161)⫥∨⫟(⪝⪂⫅⪎⋱⫍1080)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":311,"operation_count":3,"complexity_ratio":103.66666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4642,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2301,"base":13}}},"used_operators":["KYD54nUTWz","ruOEQAzv1W","XTarYq4gQB"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4642","layer":2},{"info":"compute unary expreesion, input=4642, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4369","layer":1},{"info":"number node, value=2301","layer":2},{"info":"compute unary expreesion, input=2301, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-338247","layer":1},{"info":"compute binary expreesion, left_input=-4369, right_input=-338247, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔⪎⋱⫍2161)⫥∨⫟(⪝⪂⫅⪎⋱⫍1080)=NaN","reverse_text":"NaN=(↔⪎⋱⫍2161)⫥∨⫟(⪝⪂⫅⪎⋱⫍1080)","cot":[{"info":"↔⪎⋱⫍2161=⪎⋱⫍-1CB1","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1080=⪎⋱⫍-BAC60","layer":1},{"info":"⪎⋱⫍-1CB1⫥∨⫟⪎⋱⫍-BAC60=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"⫓⪴($4504$⋳⪒$7757$)","expression":"⫓⪴(⪎⋱⫍2086⋳⪒⪎⋱⫍36B9)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":971,"operation_count":2,"complexity_ratio":485.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4504,"base":13},"right_expr":{"type":"numeric_atoms","value":7757,"base":13}}},"used_operators":["eLxqMNBOBk","12rbrZMWeM"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍266CA4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4504","layer":2},{"info":"number node, value=7757","layer":2},{"info":"compute binary expreesion, left_input=4504, right_input=7757, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=964","layer":1},{"info":"compute unary expreesion, input=964, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=929296","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍2086⋳⪒⪎⋱⫍36B9)=⪎⋱⫍266CA4","reverse_text":"⪎⋱⫍266CA4=⫓⪴(⪎⋱⫍2086⋳⪒⪎⋱⫍36B9)","cot":[{"info":"⪎⋱⫍2086⋳⪒⪎⋱⫍36B9=⪎⋱⫍592","layer":1},{"info":"⫓⪴⪎⋱⫍592=⪎⋱⫍266CA4","layer":0}]}
{"id":924,"expression_no_base_symbol":"$3329$⪮%⊝$4849$⩨(⫛⫱⨽$1045$)","expression":"⪎⋱⫍1691⪮%⊝⪎⋱⫍2290⩨(⫛⫱⨽⪎⋱⫍625)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1435,"operation_count":3,"complexity_ratio":478.3333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3329,"base":13},"right_expr":{"type":"numeric_atoms","value":4849,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1045,"base":13}}},"used_operators":["2DlMacCsIx","IWmyXbctLI","DlLNRPXxWL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3329","layer":2},{"info":"number node, value=4849","layer":2},{"info":"compute binary expreesion, left_input=3329, right_input=4849, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6974","layer":1},{"info":"number node, value=1045","layer":2},{"info":"compute unary expreesion, input=1045, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6974, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1691⪮%⊝⪎⋱⫍2290⩨(⫛⫱⨽⪎⋱⫍625)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍1691⪮%⊝⪎⋱⫍2290⩨(⫛⫱⨽⪎⋱⫍625)","cot":[{"info":"⪎⋱⫍1691⪮%⊝⪎⋱⫍2290=⪎⋱⫍3236","layer":1},{"info":"⫛⫱⨽⪎⋱⫍625=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍3236⩨⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":925,"expression_no_base_symbol":"$9194$⊉≛↸$4796$⊭↱$3010$+⇶⊼$1991$","expression":"⪎⋱⫍4253⊉≛↸⪎⋱⫍224C⊭↱⪎⋱⫍14A7+⇶⊼⪎⋱⫍BA2","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9194,"base":13},"right_expr":{"type":"numeric_atoms","value":4796,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3010,"base":13},"right_expr":{"type":"numeric_atoms","value":1991,"base":13}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9194","layer":2},{"info":"number node, value=4796","layer":2},{"info":"compute binary expreesion, left_input=9194, right_input=4796, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18388","layer":1},{"info":"number node, value=3010","layer":2},{"info":"number node, value=1991","layer":2},{"info":"compute binary expreesion, left_input=3010, right_input=1991, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=18388, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍4253⊉≛↸⪎⋱⫍224C⊭↱⪎⋱⫍14A7+⇶⊼⪎⋱⫍BA2=NaN","reverse_text":"NaN=⪎⋱⫍4253⊉≛↸⪎⋱⫍224C⊭↱⪎⋱⫍14A7+⇶⊼⪎⋱⫍BA2","cot":[{"info":"⪎⋱⫍4253⊉≛↸⪎⋱⫍224C=⪎⋱⫍84A6","layer":1},{"info":"⪎⋱⫍14A7+⇶⊼⪎⋱⫍BA2=NaN","layer":1},{"info":"⪎⋱⫍84A6⊭↱NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"($1938$⨰$4935$)⪮%⊝($2385$⪨≂$2340$)","expression":"(⪎⋱⫍B61⨰⪎⋱⫍2328)⪮%⊝(⪎⋱⫍1116⪨≂⪎⋱⫍10B0)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1938,"base":13},"right_expr":{"type":"numeric_atoms","value":4935,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2385,"base":13},"right_expr":{"type":"numeric_atoms","value":2340,"base":13}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","sdazOOVcIp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2763","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":2},{"info":"number node, value=4935","layer":2},{"info":"compute binary expreesion, left_input=1938, right_input=4935, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2987","layer":1},{"info":"number node, value=2385","layer":2},{"info":"number node, value=2340","layer":2},{"info":"compute binary expreesion, left_input=2385, right_input=2340, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-2987, right_input=192, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5658","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B61⨰⪎⋱⫍2328)⪮%⊝(⪎⋱⫍1116⪨≂⪎⋱⫍10B0)=⪎⋱⫍-2763","reverse_text":"⪎⋱⫍-2763=(⪎⋱⫍B61⨰⪎⋱⫍2328)⪮%⊝(⪎⋱⫍1116⪨≂⪎⋱⫍10B0)","cot":[{"info":"⪎⋱⫍B61⨰⪎⋱⫍2328=⪎⋱⫍-148A","layer":1},{"info":"⪎⋱⫍1116⪨≂⪎⋱⫍10B0=⪎⋱⫍11A","layer":1},{"info":"⪎⋱⫍-148A⪮%⊝⪎⋱⫍11A=⪎⋱⫍-2763","layer":0}]}
{"id":927,"expression_no_base_symbol":"⨰⫟⨤($1495$⊭↱$5333$)","expression":"⨰⫟⨤(⪎⋱⫍8B0⊭↱⪎⋱⫍2573)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29890,"operation_count":2,"complexity_ratio":14945.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1495,"base":13},"right_expr":{"type":"numeric_atoms","value":5333,"base":13}}},"used_operators":["Tw270M8GLb","COABgblf1C"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1495","layer":2},{"info":"number node, value=5333","layer":2},{"info":"compute binary expreesion, left_input=1495, right_input=5333, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7681","layer":1},{"info":"compute unary expreesion, input=7681, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍8B0⊭↱⪎⋱⫍2573)=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍8B0⊭↱⪎⋱⫍2573)","cot":[{"info":"⪎⋱⫍8B0⊭↱⪎⋱⫍2573=⪎⋱⫍365B","layer":1},{"info":"⨰⫟⨤⪎⋱⫍365B=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"($2538$⨐⩸⫘$4423$)≎⊠⪸(+⊝⨔$1531$)","expression":"(⪎⋱⫍1203⨐⩸⫘⪎⋱⫍2023)≎⊠⪸(+⊝⨔⪎⋱⫍90A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2538,"base":13},"right_expr":{"type":"numeric_atoms","value":4423,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1531,"base":13}}},"used_operators":["bJkvcejdHO","fu6greOZ01","DhbWaqg5eL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2538","layer":2},{"info":"number node, value=4423","layer":2},{"info":"compute binary expreesion, left_input=2538, right_input=4423, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1531","layer":2},{"info":"compute unary expreesion, input=1531, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1203⨐⩸⫘⪎⋱⫍2023)≎⊠⪸(+⊝⨔⪎⋱⫍90A)=NaN","reverse_text":"NaN=(⪎⋱⫍1203⨐⩸⫘⪎⋱⫍2023)≎⊠⪸(+⊝⨔⪎⋱⫍90A)","cot":[{"info":"⪎⋱⫍1203⨐⩸⫘⪎⋱⫍2023=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍90A=⪎⋱⫍901","layer":1},{"info":"NaN≎⊠⪸⪎⋱⫍901=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"($7217$∀⇚≩$2256$)∼($8965$*$1140$)","expression":"(⪎⋱⫍3392∀⇚≩⪎⋱⫍1047)∼(⪎⋱⫍4108*⪎⋱⫍699)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51662,"operation_count":3,"complexity_ratio":17220.666666666668,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7217,"base":13},"right_expr":{"type":"numeric_atoms","value":2256,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8965,"base":13},"right_expr":{"type":"numeric_atoms","value":1140,"base":13}}},"used_operators":["DyGG3AbaNP","LRNGc0VcxI","9HNa5Wba9A"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7217","layer":2},{"info":"number node, value=2256","layer":2},{"info":"compute binary expreesion, left_input=7217, right_input=2256, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8965","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=8965, right_input=1140, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10220100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10220100, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3392∀⇚≩⪎⋱⫍1047)∼(⪎⋱⫍4108*⪎⋱⫍699)=NaN","reverse_text":"NaN=(⪎⋱⫍3392∀⇚≩⪎⋱⫍1047)∼(⪎⋱⫍4108*⪎⋱⫍699)","cot":[{"info":"⪎⋱⫍3392∀⇚≩⪎⋱⫍1047=NaN","layer":1},{"info":"⪎⋱⫍4108*⪎⋱⫍699=⪎⋱⫍216AAC7","layer":1},{"info":"NaN∼⪎⋱⫍216AAC7=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"($1047$⪐)⋓$1439$∀⇚≩$1986$","expression":"(⪎⋱⫍627⪐)⋓⪎⋱⫍869∀⇚≩⪎⋱⫍B9A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10088,"operation_count":3,"complexity_ratio":3362.6666666666665,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1047,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1439,"base":13},"right_expr":{"type":"numeric_atoms","value":1986,"base":13}}},"used_operators":["T2fj7uvVaJ","eH2TOUuTDT","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1047","layer":2},{"info":"compute unary expreesion, input=1047, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2094","layer":1},{"info":"number node, value=1439","layer":2},{"info":"number node, value=1986","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=1986, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2094, 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":13,"result_base":13,"text":"(⪎⋱⫍627⪐)⋓⪎⋱⫍869∀⇚≩⪎⋱⫍B9A=NaN","reverse_text":"NaN=(⪎⋱⫍627⪐)⋓⪎⋱⫍869∀⇚≩⪎⋱⫍B9A","cot":[{"info":"⪎⋱⫍627⪐=⪎⋱⫍C51","layer":1},{"info":"⪎⋱⫍869∀⇚≩⪎⋱⫍B9A=NaN","layer":1},{"info":"⪎⋱⫍C51⋓NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"⨈⫕(⪝⪂⫅$1019$)","expression":"⨈⫕(⪝⪂⫅⪎⋱⫍605)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":536,"operation_count":2,"complexity_ratio":268.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1019,"base":13}}},"used_operators":["megm06wKyl","XTarYq4gQB"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":2},{"info":"compute unary expreesion, input=1019, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-149793","layer":1},{"info":"compute unary expreesion, input=-149793, 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":13,"result_base":13,"text":"⨈⫕(⪝⪂⫅⪎⋱⫍605)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⪝⪂⫅⪎⋱⫍605)","cot":[{"info":"⪝⪂⫅⪎⋱⫍605=⪎⋱⫍-53247","layer":1},{"info":"⨈⫕⪎⋱⫍-53247=⪎⋱⫍-18","layer":0}]}
{"id":932,"expression_no_base_symbol":"($6681$⊘)⨎$1726$⪘⫢$3346$","expression":"(⪎⋱⫍306C⊘)⨎⪎⋱⫍A2A⪘⫢⪎⋱⫍16A5","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6681,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1726,"base":13},"right_expr":{"type":"numeric_atoms","value":3346,"base":13}}},"used_operators":["rJVOvQCfKK","gu96TGCTMs","oacrs7FA3X"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍1690","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6681","layer":2},{"info":"compute unary expreesion, input=6681, 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=1726","layer":2},{"info":"number node, value=3346","layer":2},{"info":"compute binary expreesion, left_input=1726, right_input=3346, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3328","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3328, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3328","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍306C⊘)⨎⪎⋱⫍A2A⪘⫢⪎⋱⫍16A5=⪎⋱⫍1690","reverse_text":"⪎⋱⫍1690=(⪎⋱⫍306C⊘)⨎⪎⋱⫍A2A⪘⫢⪎⋱⫍16A5","cot":[{"info":"⪎⋱⫍306C⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍A2A⪘⫢⪎⋱⫍16A5=⪎⋱⫍1690","layer":1},{"info":"⪎⋱⫍0⨎⪎⋱⫍1690=⪎⋱⫍1690","layer":0}]}
{"id":933,"expression_no_base_symbol":"(↩$2393$)⨰($7001$⇼⇔∾$2353$)","expression":"(↩⪎⋱⫍1121)⨰(⪎⋱⫍3257⇼⇔∾⪎⋱⫍10C0)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2393,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7001,"base":13},"right_expr":{"type":"numeric_atoms","value":2353,"base":13}}},"used_operators":["eewbuw0ToL","jLgFTUHLKL","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-5436","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":2},{"info":"compute unary expreesion, input=2393, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16364","layer":1},{"info":"number node, value=7001","layer":2},{"info":"number node, value=2353","layer":2},{"info":"compute binary expreesion, left_input=7001, right_input=2353, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4648","layer":1},{"info":"compute binary expreesion, left_input=-16364, right_input=-4648, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-11706","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍1121)⨰(⪎⋱⫍3257⇼⇔∾⪎⋱⫍10C0)=⪎⋱⫍-5436","reverse_text":"⪎⋱⫍-5436=(↩⪎⋱⫍1121)⨰(⪎⋱⫍3257⇼⇔∾⪎⋱⫍10C0)","cot":[{"info":"↩⪎⋱⫍1121=⪎⋱⫍-75AA","layer":1},{"info":"⪎⋱⫍3257⇼⇔∾⪎⋱⫍10C0=⪎⋱⫍-2167","layer":1},{"info":"⪎⋱⫍-75AA⨰⪎⋱⫍-2167=⪎⋱⫍-5436","layer":0}]}
{"id":934,"expression_no_base_symbol":"($1004$↺$3316$)⨪↰⇹($1208$∑⇟⊟$2181$)","expression":"(⪎⋱⫍5C3↺⪎⋱⫍1681)⨪↰⇹(⪎⋱⫍71C∑⇟⊟⪎⋱⫍CBA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3319,"operation_count":3,"complexity_ratio":1106.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":3316,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1208,"base":13},"right_expr":{"type":"numeric_atoms","value":2181,"base":13}}},"used_operators":["tmPS8pqC7x","7j4O788W3g","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍1681","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=3316","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=3316, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3316","layer":1},{"info":"number node, value=1208","layer":2},{"info":"number node, value=2181","layer":2},{"info":"compute binary expreesion, left_input=1208, right_input=2181, 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=3316, 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=3316","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍5C3↺⪎⋱⫍1681)⨪↰⇹(⪎⋱⫍71C∑⇟⊟⪎⋱⫍CBA)=⪎⋱⫍1681","reverse_text":"⪎⋱⫍1681=(⪎⋱⫍5C3↺⪎⋱⫍1681)⨪↰⇹(⪎⋱⫍71C∑⇟⊟⪎⋱⫍CBA)","cot":[{"info":"⪎⋱⫍5C3↺⪎⋱⫍1681=⪎⋱⫍1681","layer":1},{"info":"⪎⋱⫍71C∑⇟⊟⪎⋱⫍CBA=NaN","layer":1},{"info":"⪎⋱⫍1681⨪↰⇹NaN=⪎⋱⫍1681","layer":0}]}
{"id":935,"expression_no_base_symbol":"(⊙↵-$2421$)⪛$8368$⪮%⊝$5286$","expression":"(⊙↵-⪎⋱⫍1143)⪛⪎⋱⫍3A69⪮%⊝⪎⋱⫍2538","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2480,"operation_count":3,"complexity_ratio":826.6666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2421,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8368,"base":13},"right_expr":{"type":"numeric_atoms","value":5286,"base":13}}},"used_operators":["uFcxV4UQCh","oWn0xqSxBt","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍79B8","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2421","layer":2},{"info":"compute unary expreesion, input=2421, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=8368","layer":2},{"info":"number node, value=5286","layer":2},{"info":"compute binary expreesion, left_input=8368, right_input=5286, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17052","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=17052, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=17051","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-⪎⋱⫍1143)⪛⪎⋱⫍3A69⪮%⊝⪎⋱⫍2538=⪎⋱⫍79B8","reverse_text":"⪎⋱⫍79B8=(⊙↵-⪎⋱⫍1143)⪛⪎⋱⫍3A69⪮%⊝⪎⋱⫍2538","cot":[{"info":"⊙↵-⪎⋱⫍1143=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍3A69⪮%⊝⪎⋱⫍2538=⪎⋱⫍79B9","layer":1},{"info":"⪎⋱⫍-1⪛⪎⋱⫍79B9=⪎⋱⫍79B8","layer":0}]}
{"id":936,"expression_no_base_symbol":"$3848$⊴$4201$↺$1306$≹⇙⪍$1837$","expression":"⪎⋱⫍19A0⊴⪎⋱⫍1BB2↺⪎⋱⫍796≹⇙⪍⪎⋱⫍AB4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4210,"operation_count":3,"complexity_ratio":1403.3333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3848,"base":13},"right_expr":{"type":"numeric_atoms","value":4201,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1306,"base":13},"right_expr":{"type":"numeric_atoms","value":1837,"base":13}}},"used_operators":["7j4O788W3g","Nsiff2A1zJ","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3848","layer":2},{"info":"number node, value=4201","layer":2},{"info":"compute binary expreesion, left_input=3848, right_input=4201, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1306","layer":2},{"info":"number node, value=1837","layer":2},{"info":"compute binary expreesion, left_input=1306, right_input=1837, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍19A0⊴⪎⋱⫍1BB2↺⪎⋱⫍796≹⇙⪍⪎⋱⫍AB4=NaN","reverse_text":"NaN=⪎⋱⫍19A0⊴⪎⋱⫍1BB2↺⪎⋱⫍796≹⇙⪍⪎⋱⫍AB4","cot":[{"info":"⪎⋱⫍19A0⊴⪎⋱⫍1BB2=NaN","layer":1},{"info":"⪎⋱⫍796≹⇙⪍⪎⋱⫍AB4=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"($1034$⊦⊿)⋷$4124$⇷$1453$","expression":"(⪎⋱⫍617⊦⊿)⋷⪎⋱⫍1B53⇷⪎⋱⫍87A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57750,"operation_count":3,"complexity_ratio":19250.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1034,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4124,"base":13},"right_expr":{"type":"numeric_atoms","value":1453,"base":13}}},"used_operators":["23Mk6UjR3U","14qkJME0vr","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍2B85","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":2},{"info":"compute unary expreesion, input=1034, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3181","layer":1},{"info":"number node, value=4124","layer":2},{"info":"number node, value=1453","layer":2},{"info":"compute binary expreesion, left_input=4124, right_input=1453, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2906","layer":1},{"info":"compute binary expreesion, left_input=-3181, right_input=2906, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6362","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍617⊦⊿)⋷⪎⋱⫍1B53⇷⪎⋱⫍87A=⪎⋱⫍2B85","reverse_text":"⪎⋱⫍2B85=(⪎⋱⫍617⊦⊿)⋷⪎⋱⫍1B53⇷⪎⋱⫍87A","cot":[{"info":"⪎⋱⫍617⊦⊿=⪎⋱⫍-15A9","layer":1},{"info":"⪎⋱⫍1B53⇷⪎⋱⫍87A=⪎⋱⫍1427","layer":1},{"info":"⪎⋱⫍-15A9⋷⪎⋱⫍1427=⪎⋱⫍2B85","layer":0}]}
{"id":938,"expression_no_base_symbol":"↔(∂$1466$)","expression":"↔(∂⪎⋱⫍88A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1466,"base":13}}},"used_operators":["ruOEQAzv1W","Uaa54Peajs"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1466","layer":2},{"info":"compute unary expreesion, input=1466, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔(∂⪎⋱⫍88A)=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(∂⪎⋱⫍88A)","cot":[{"info":"∂⪎⋱⫍88A=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":939,"expression_no_base_symbol":"($2055$⇼⇔∾$1975$)⪠⩆⊳","expression":"(⪎⋱⫍C21⇼⇔∾⪎⋱⫍B8C)⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2055,"base":13},"right_expr":{"type":"numeric_atoms","value":1975,"base":13}}},"used_operators":["JLbD19bQDL","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2055","layer":2},{"info":"number node, value=1975","layer":2},{"info":"compute binary expreesion, left_input=2055, right_input=1975, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-80","layer":1},{"info":"compute unary expreesion, input=-80, 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":13,"result_base":13,"text":"(⪎⋱⫍C21⇼⇔∾⪎⋱⫍B8C)⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍C21⇼⇔∾⪎⋱⫍B8C)⪠⩆⊳","cot":[{"info":"⪎⋱⫍C21⇼⇔∾⪎⋱⫍B8C=⪎⋱⫍-62","layer":1},{"info":"⪎⋱⫍-62⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":940,"expression_no_base_symbol":"(⩦⩻⨪$2302$)⇷$1994$∼$4116$","expression":"(⩦⩻⨪⪎⋱⫍1081)⇷⪎⋱⫍BA5∼⪎⋱⫍1B48","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32278,"operation_count":3,"complexity_ratio":10759.333333333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2302,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1994,"base":13},"right_expr":{"type":"numeric_atoms","value":4116,"base":13}}},"used_operators":["mp7IySMOzn","2td37pGCOC","DyGG3AbaNP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2302","layer":2},{"info":"compute unary expreesion, input=2302, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2302","layer":1},{"info":"number node, value=1994","layer":2},{"info":"number node, value=4116","layer":2},{"info":"compute binary expreesion, left_input=1994, right_input=4116, 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=2302, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍1081)⇷⪎⋱⫍BA5∼⪎⋱⫍1B48=NaN","reverse_text":"NaN=(⩦⩻⨪⪎⋱⫍1081)⇷⪎⋱⫍BA5∼⪎⋱⫍1B48","cot":[{"info":"⩦⩻⨪⪎⋱⫍1081=⪎⋱⫍1081","layer":1},{"info":"⪎⋱⫍BA5∼⪎⋱⫍1B48=NaN","layer":1},{"info":"⪎⋱⫍1081⇷NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"(⋗⩬⋾$4380$)≧⫂∧($2818$⩨$5559$)","expression":"(⋗⩬⋾⪎⋱⫍1CBC)≧⫂∧(⪎⋱⫍138A⩨⪎⋱⫍26B8)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4380,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2818,"base":13},"right_expr":{"type":"numeric_atoms","value":5559,"base":13}}},"used_operators":["Ph9nP6C5qx","DpFCA1CohY","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-2A8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4380","layer":2},{"info":"compute unary expreesion, input=4380, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13140","layer":1},{"info":"number node, value=2818","layer":2},{"info":"number node, value=5559","layer":2},{"info":"compute binary expreesion, left_input=2818, right_input=5559, 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=-13140, right_input=-3, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-476","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍1CBC)≧⫂∧(⪎⋱⫍138A⩨⪎⋱⫍26B8)=⪎⋱⫍-2A8","reverse_text":"⪎⋱⫍-2A8=(⋗⩬⋾⪎⋱⫍1CBC)≧⫂∧(⪎⋱⫍138A⩨⪎⋱⫍26B8)","cot":[{"info":"⋗⩬⋾⪎⋱⫍1CBC=⪎⋱⫍-5C9A","layer":1},{"info":"⪎⋱⫍138A⩨⪎⋱⫍26B8=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍-5C9A≧⫂∧⪎⋱⫍-3=⪎⋱⫍-2A8","layer":0}]}
{"id":942,"expression_no_base_symbol":"⪲⇎($3728$⊘)","expression":"⪲⇎(⪎⋱⫍190A⊘)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3728,"base":13}}},"used_operators":["XPYlsWDdGa","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3728","layer":2},{"info":"compute unary expreesion, input=3728, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪲⇎(⪎⋱⫍190A⊘)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪲⇎(⪎⋱⫍190A⊘)","cot":[{"info":"⪎⋱⫍190A⊘=⪎⋱⫍0","layer":1},{"info":"⪲⇎⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":943,"expression_no_base_symbol":"(↣≠⋷$2380$)⩤","expression":"(↣≠⋷⪎⋱⫍1111)⩤","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2380,"base":13}}},"used_operators":["Z2TMIBDE3Q","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2380","layer":2},{"info":"compute unary expreesion, input=2380, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↣≠⋷⪎⋱⫍1111)⩤=NaN","reverse_text":"NaN=(↣≠⋷⪎⋱⫍1111)⩤","cot":[{"info":"↣≠⋷⪎⋱⫍1111=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"$2622$⨳⩥⨓$1709$⫡⨏$8038$⨐⩸⫘$1337$","expression":"⪎⋱⫍1269⨳⩥⨓⪎⋱⫍A16⫡⨏⪎⋱⫍3874⨐⩸⫘⪎⋱⫍7BB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2622,"base":13},"right_expr":{"type":"numeric_atoms","value":1709,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8038,"base":13},"right_expr":{"type":"numeric_atoms","value":1337,"base":13}}},"used_operators":["QMFrweE19q","nCS4ZIUYfx","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2622","layer":2},{"info":"number node, value=1709","layer":2},{"info":"compute binary expreesion, left_input=2622, right_input=1709, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-913","layer":1},{"info":"number node, value=8038","layer":2},{"info":"number node, value=1337","layer":2},{"info":"compute binary expreesion, left_input=8038, right_input=1337, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-913, 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":13,"result_base":13,"text":"⪎⋱⫍1269⨳⩥⨓⪎⋱⫍A16⫡⨏⪎⋱⫍3874⨐⩸⫘⪎⋱⫍7BB=NaN","reverse_text":"NaN=⪎⋱⫍1269⨳⩥⨓⪎⋱⫍A16⫡⨏⪎⋱⫍3874⨐⩸⫘⪎⋱⫍7BB","cot":[{"info":"⪎⋱⫍1269⨳⩥⨓⪎⋱⫍A16=⪎⋱⫍-553","layer":1},{"info":"⪎⋱⫍3874⨐⩸⫘⪎⋱⫍7BB=NaN","layer":1},{"info":"⪎⋱⫍-553⫡⨏NaN=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"($1698$/$1265$)⪒$1068$↙$8602$","expression":"(⪎⋱⫍A08/⪎⋱⫍764)⪒⪎⋱⫍642↙⪎⋱⫍3BB9","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8609,"operation_count":3,"complexity_ratio":2869.6666666666665,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1698,"base":13},"right_expr":{"type":"numeric_atoms","value":1265,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1068,"base":13},"right_expr":{"type":"numeric_atoms","value":8602,"base":13}}},"used_operators":["f6k1SAg4EE","XhwjNDsVaA","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍B990","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1698","layer":2},{"info":"number node, value=1265","layer":2},{"info":"compute binary expreesion, left_input=1698, right_input=1265, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=1068","layer":2},{"info":"number node, value=8602","layer":2},{"info":"compute binary expreesion, left_input=1068, right_input=8602, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25806","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-25806, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=25805","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A08/⪎⋱⫍764)⪒⪎⋱⫍642↙⪎⋱⫍3BB9=⪎⋱⫍B990","reverse_text":"⪎⋱⫍B990=(⪎⋱⫍A08/⪎⋱⫍764)⪒⪎⋱⫍642↙⪎⋱⫍3BB9","cot":[{"info":"⪎⋱⫍A08/⪎⋱⫍764=⪎⋱⫍1","layer":1},{"info":"⪎⋱⫍642↙⪎⋱⫍3BB9=⪎⋱⫍-B991","layer":1},{"info":"⪎⋱⫍1⪒⪎⋱⫍-B991=⪎⋱⫍B990","layer":0}]}
{"id":946,"expression_no_base_symbol":"(∂$6703$)*$1390$⪢$6106$","expression":"(∂⪎⋱⫍3088)*⪎⋱⫍82C⪢⪎⋱⫍2A19","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6108,"operation_count":3,"complexity_ratio":2036.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6703,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1390,"base":13},"right_expr":{"type":"numeric_atoms","value":6106,"base":13}}},"used_operators":["9HNa5Wba9A","Uaa54Peajs","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6703","layer":2},{"info":"compute unary expreesion, input=6703, 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=1390","layer":2},{"info":"number node, value=6106","layer":2},{"info":"compute binary expreesion, left_input=1390, right_input=6106, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂⪎⋱⫍3088)*⪎⋱⫍82C⪢⪎⋱⫍2A19=NaN","reverse_text":"NaN=(∂⪎⋱⫍3088)*⪎⋱⫍82C⪢⪎⋱⫍2A19","cot":[{"info":"∂⪎⋱⫍3088=NaN","layer":1},{"info":"⪎⋱⫍82C⪢⪎⋱⫍2A19=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⫓⪴$1075$)⨰($3013$⨳⩥⨓$4464$)","expression":"(⫓⪴⪎⋱⫍649)⨰(⪎⋱⫍14AA⨳⩥⨓⪎⋱⫍2055)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1084,"operation_count":3,"complexity_ratio":361.3333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1075,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3013,"base":13},"right_expr":{"type":"numeric_atoms","value":4464,"base":13}}},"used_operators":["eewbuw0ToL","eLxqMNBOBk","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍315465","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":2},{"info":"compute unary expreesion, input=1075, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1155625","layer":1},{"info":"number node, value=3013","layer":2},{"info":"number node, value=4464","layer":2},{"info":"compute binary expreesion, left_input=3013, right_input=4464, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1451","layer":1},{"info":"compute binary expreesion, left_input=1155625, right_input=1451, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1154184","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴⪎⋱⫍649)⨰(⪎⋱⫍14AA⨳⩥⨓⪎⋱⫍2055)=⪎⋱⫍315465","reverse_text":"⪎⋱⫍315465=(⫓⪴⪎⋱⫍649)⨰(⪎⋱⫍14AA⨳⩥⨓⪎⋱⫍2055)","cot":[{"info":"⫓⪴⪎⋱⫍649=⪎⋱⫍316003","layer":1},{"info":"⪎⋱⫍14AA⨳⩥⨓⪎⋱⫍2055=⪎⋱⫍878","layer":1},{"info":"⪎⋱⫍316003⨰⪎⋱⫍878=⪎⋱⫍315465","layer":0}]}
{"id":948,"expression_no_base_symbol":"($3293$⪘⫢$1057$)⪘⫢($2960$⩷∴$1097$)","expression":"(⪎⋱⫍1664⪘⫢⪎⋱⫍634)⪘⫢(⪎⋱⫍1469⩷∴⪎⋱⫍665)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3293,"base":13},"right_expr":{"type":"numeric_atoms","value":1057,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2960,"base":13},"right_expr":{"type":"numeric_atoms","value":1097,"base":13}}},"used_operators":["oacrs7FA3X","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z"],"result":"⪎⋱⫍5A98","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3293","layer":2},{"info":"number node, value=1057","layer":2},{"info":"compute binary expreesion, left_input=3293, right_input=1057, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6462","layer":1},{"info":"number node, value=2960","layer":2},{"info":"number node, value=1097","layer":2},{"info":"compute binary expreesion, left_input=2960, right_input=1097, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3694","layer":1},{"info":"compute binary expreesion, left_input=6462, right_input=3694, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12800","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1664⪘⫢⪎⋱⫍634)⪘⫢(⪎⋱⫍1469⩷∴⪎⋱⫍665)=⪎⋱⫍5A98","reverse_text":"⪎⋱⫍5A98=(⪎⋱⫍1664⪘⫢⪎⋱⫍634)⪘⫢(⪎⋱⫍1469⩷∴⪎⋱⫍665)","cot":[{"info":"⪎⋱⫍1664⪘⫢⪎⋱⫍634=⪎⋱⫍2C31","layer":1},{"info":"⪎⋱⫍1469⩷∴⪎⋱⫍665=⪎⋱⫍18B2","layer":1},{"info":"⪎⋱⫍2C31⪘⫢⪎⋱⫍18B2=⪎⋱⫍5A98","layer":0}]}
{"id":949,"expression_no_base_symbol":"$1412$⪢$2758$⋓$3541$≹⇙⪍$2731$","expression":"⪎⋱⫍848⪢⪎⋱⫍1342⋓⪎⋱⫍17C5≹⇙⪍⪎⋱⫍1321","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2772,"operation_count":3,"complexity_ratio":924.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1412,"base":13},"right_expr":{"type":"numeric_atoms","value":2758,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3541,"base":13},"right_expr":{"type":"numeric_atoms","value":2731,"base":13}}},"used_operators":["T2fj7uvVaJ","dWAJyo7jo9","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1412","layer":2},{"info":"number node, value=2758","layer":2},{"info":"compute binary expreesion, left_input=1412, right_input=2758, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3541","layer":2},{"info":"number node, value=2731","layer":2},{"info":"compute binary expreesion, left_input=3541, right_input=2731, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = T2fj7uvVaJ 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":13,"result_base":13,"text":"⪎⋱⫍848⪢⪎⋱⫍1342⋓⪎⋱⫍17C5≹⇙⪍⪎⋱⫍1321=NaN","reverse_text":"NaN=⪎⋱⫍848⪢⪎⋱⫍1342⋓⪎⋱⫍17C5≹⇙⪍⪎⋱⫍1321","cot":[{"info":"⪎⋱⫍848⪢⪎⋱⫍1342=NaN","layer":1},{"info":"⪎⋱⫍17C5≹⇙⪍⪎⋱⫍1321=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"$1303$≹⇙⪍$2866$⨵⪆$1034$⨳⩥⨓$1561$","expression":"⪎⋱⫍793≹⇙⪍⪎⋱⫍13C6⨵⪆⪎⋱⫍617⨳⩥⨓⪎⋱⫍931","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1303,"base":13},"right_expr":{"type":"numeric_atoms","value":2866,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1034,"base":13},"right_expr":{"type":"numeric_atoms","value":1561,"base":13}}},"used_operators":["2DQ55sFlQl","AHs5Up7iyr","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1303","layer":2},{"info":"number node, value=2866","layer":2},{"info":"compute binary expreesion, left_input=1303, right_input=2866, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1034","layer":2},{"info":"number node, value=1561","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=1561, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=527","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=527, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍793≹⇙⪍⪎⋱⫍13C6⨵⪆⪎⋱⫍617⨳⩥⨓⪎⋱⫍931=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍793≹⇙⪍⪎⋱⫍13C6⨵⪆⪎⋱⫍617⨳⩥⨓⪎⋱⫍931","cot":[{"info":"⪎⋱⫍793≹⇙⪍⪎⋱⫍13C6=NaN","layer":1},{"info":"⪎⋱⫍617⨳⩥⨓⪎⋱⫍931=⪎⋱⫍317","layer":1},{"info":"NaN⨵⪆⪎⋱⫍317=⪎⋱⫍C4","layer":0}]}
{"id":951,"expression_no_base_symbol":"≦∁(∂$1082$)","expression":"≦∁(∂⪎⋱⫍653)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1082,"base":13}}},"used_operators":["9ICcGScMcE","Uaa54Peajs"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1082","layer":2},{"info":"compute unary expreesion, input=1082, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≦∁(∂⪎⋱⫍653)=NaN","reverse_text":"NaN=≦∁(∂⪎⋱⫍653)","cot":[{"info":"∂⪎⋱⫍653=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"(⊥$1998$)⊭↱$6491$⇷$3327$","expression":"(⊥⪎⋱⫍BA9)⊭↱⪎⋱⫍2C54⇷⪎⋱⫍168C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":90887,"operation_count":3,"complexity_ratio":30295.666666666668,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1998,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6491,"base":13},"right_expr":{"type":"numeric_atoms","value":3327,"base":13}}},"used_operators":["COABgblf1C","Q3PJZHRvZv","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1998","layer":2},{"info":"compute unary expreesion, input=1998, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=6491","layer":2},{"info":"number node, value=3327","layer":2},{"info":"compute binary expreesion, left_input=6491, right_input=3327, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6654","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6654, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥⪎⋱⫍BA9)⊭↱⪎⋱⫍2C54⇷⪎⋱⫍168C=NaN","reverse_text":"NaN=(⊥⪎⋱⫍BA9)⊭↱⪎⋱⫍2C54⇷⪎⋱⫍168C","cot":[{"info":"⊥⪎⋱⫍BA9=NaN","layer":1},{"info":"⪎⋱⫍2C54⇷⪎⋱⫍168C=⪎⋱⫍304B","layer":1},{"info":"NaN⊭↱⪎⋱⫍304B=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"$1487$≹⇙⪍$2388$⪢(≤/$1126$)","expression":"⪎⋱⫍8A5≹⇙⪍⪎⋱⫍1119⪢(≤/⪎⋱⫍688)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":644,"operation_count":3,"complexity_ratio":214.66666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1487,"base":13},"right_expr":{"type":"numeric_atoms","value":2388,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1126,"base":13}}},"used_operators":["dWAJyo7jo9","AHs5Up7iyr","eLAdDNolq6"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=1487, right_input=2388, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1126","layer":2},{"info":"compute unary expreesion, input=1126, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-642, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"⪎⋱⫍8A5≹⇙⪍⪎⋱⫍1119⪢(≤/⪎⋱⫍688)=NaN","reverse_text":"NaN=⪎⋱⫍8A5≹⇙⪍⪎⋱⫍1119⪢(≤/⪎⋱⫍688)","cot":[{"info":"⪎⋱⫍8A5≹⇙⪍⪎⋱⫍1119=NaN","layer":1},{"info":"≤/⪎⋱⫍688=⪎⋱⫍-3A5","layer":1},{"info":"NaN⪢⪎⋱⫍-3A5=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"$4808$∀⇚≩$1341$⊭↱($1295$⫩⊇)","expression":"⪎⋱⫍225B∀⇚≩⪎⋱⫍7C2⊭↱(⪎⋱⫍788⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33664,"operation_count":3,"complexity_ratio":11221.333333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4808,"base":13},"right_expr":{"type":"numeric_atoms","value":1341,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1295,"base":13}}},"used_operators":["COABgblf1C","LRNGc0VcxI","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4808","layer":2},{"info":"number node, value=1341","layer":2},{"info":"compute binary expreesion, left_input=4808, right_input=1341, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1295","layer":2},{"info":"compute unary expreesion, input=1295, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1253","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1253, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍225B∀⇚≩⪎⋱⫍7C2⊭↱(⪎⋱⫍788⫩⊇)=NaN","reverse_text":"NaN=⪎⋱⫍225B∀⇚≩⪎⋱⫍7C2⊭↱(⪎⋱⫍788⫩⊇)","cot":[{"info":"⪎⋱⫍225B∀⇚≩⪎⋱⫍7C2=NaN","layer":1},{"info":"⪎⋱⫍788⫩⊇=⪎⋱⫍-755","layer":1},{"info":"NaN⊭↱⪎⋱⫍-755=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"($1633$+$2201$)⨐⩸⫘$4446$⇷$3257$","expression":"(⪎⋱⫍988+⪎⋱⫍1004)⨐⩸⫘⪎⋱⫍2040⇷⪎⋱⫍1637","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62252,"operation_count":3,"complexity_ratio":20750.666666666668,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1633,"base":13},"right_expr":{"type":"numeric_atoms","value":2201,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4446,"base":13},"right_expr":{"type":"numeric_atoms","value":3257,"base":13}}},"used_operators":["fu6greOZ01","W4YGzv6Whe","mp7IySMOzn"],"dependent_operators":["3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1633","layer":2},{"info":"number node, value=2201","layer":2},{"info":"compute binary expreesion, left_input=1633, right_input=2201, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3834","layer":1},{"info":"number node, value=4446","layer":2},{"info":"number node, value=3257","layer":2},{"info":"compute binary expreesion, left_input=4446, right_input=3257, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6514","layer":1},{"info":"compute binary expreesion, left_input=3834, right_input=6514, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(⪎⋱⫍988+⪎⋱⫍1004)⨐⩸⫘⪎⋱⫍2040⇷⪎⋱⫍1637=NaN","reverse_text":"NaN=(⪎⋱⫍988+⪎⋱⫍1004)⨐⩸⫘⪎⋱⫍2040⇷⪎⋱⫍1637","cot":[{"info":"⪎⋱⫍988+⪎⋱⫍1004=⪎⋱⫍198C","layer":1},{"info":"⪎⋱⫍2040⇷⪎⋱⫍1637=⪎⋱⫍2C71","layer":1},{"info":"⪎⋱⫍198C⨐⩸⫘⪎⋱⫍2C71=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"(⪲⇎$1281$)≦≮≮","expression":"(⪲⇎⪎⋱⫍777)≦≮≮","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1281,"base":13}}},"used_operators":["D4vGDi5EA2","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-3663","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":2},{"info":"compute unary expreesion, input=1281, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2562","layer":1},{"info":"compute unary expreesion, input=2562, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7686","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍777)≦≮≮=⪎⋱⫍-3663","reverse_text":"⪎⋱⫍-3663=(⪲⇎⪎⋱⫍777)≦≮≮","cot":[{"info":"⪲⇎⪎⋱⫍777=⪎⋱⫍1221","layer":1},{"info":"⪎⋱⫍1221≦≮≮=⪎⋱⫍-3663","layer":0}]}
{"id":957,"expression_no_base_symbol":"$4427$↺$1347$⩨(↩$8751$)","expression":"⪎⋱⫍2027↺⪎⋱⫍7C8⩨(↩⪎⋱⫍3CA2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":70,"operation_count":3,"complexity_ratio":23.333333333333332,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4427,"base":13},"right_expr":{"type":"numeric_atoms","value":1347,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":8751,"base":13}}},"used_operators":["2DlMacCsIx","7j4O788W3g","jLgFTUHLKL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍B7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4427","layer":2},{"info":"number node, value=1347","layer":2},{"info":"compute binary expreesion, left_input=4427, right_input=1347, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1347","layer":1},{"info":"number node, value=8751","layer":2},{"info":"compute unary expreesion, input=8751, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-67228","layer":1},{"info":"compute binary expreesion, left_input=1347, right_input=-67228, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=150","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2027↺⪎⋱⫍7C8⩨(↩⪎⋱⫍3CA2)=⪎⋱⫍B7","reverse_text":"⪎⋱⫍B7=⪎⋱⫍2027↺⪎⋱⫍7C8⩨(↩⪎⋱⫍3CA2)","cot":[{"info":"⪎⋱⫍2027↺⪎⋱⫍7C8=⪎⋱⫍7C8","layer":1},{"info":"↩⪎⋱⫍3CA2=⪎⋱⫍-247A5","layer":1},{"info":"⪎⋱⫍7C8⩨⪎⋱⫍-247A5=⪎⋱⫍B7","layer":0}]}
{"id":958,"expression_no_base_symbol":"($5855$≫≃)∲⫓$6061$⪄$1693$","expression":"(⪎⋱⫍2885≫≃)∲⫓⪎⋱⫍29B3⪄⪎⋱⫍A03","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5855,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6061,"base":13},"right_expr":{"type":"numeric_atoms","value":1693,"base":13}}},"used_operators":["i8ToyICDmI","X99M06cbEe","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍5C77","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5855","layer":2},{"info":"compute unary expreesion, input=5855, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13111","layer":1},{"info":"number node, value=6061","layer":2},{"info":"number node, value=1693","layer":2},{"info":"compute binary expreesion, left_input=6061, right_input=1693, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-899889","layer":1},{"info":"compute binary expreesion, left_input=13111, right_input=-899889, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=13111","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2885≫≃)∲⫓⪎⋱⫍29B3⪄⪎⋱⫍A03=⪎⋱⫍5C77","reverse_text":"⪎⋱⫍5C77=(⪎⋱⫍2885≫≃)∲⫓⪎⋱⫍29B3⪄⪎⋱⫍A03","cot":[{"info":"⪎⋱⫍2885≫≃=⪎⋱⫍5C77","layer":1},{"info":"⪎⋱⫍29B3⪄⪎⋱⫍A03=⪎⋱⫍-2567A3","layer":1},{"info":"⪎⋱⫍5C77∲⫓⪎⋱⫍-2567A3=⪎⋱⫍5C77","layer":0}]}
{"id":959,"expression_no_base_symbol":"$1370$≭$1062$⫸⊐($1283$∲⫓$4952$)","expression":"⪎⋱⫍815≭⪎⋱⫍639⫸⊐(⪎⋱⫍779∲⫓⪎⋱⫍233C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1370,"base":13},"right_expr":{"type":"numeric_atoms","value":1062,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1283,"base":13},"right_expr":{"type":"numeric_atoms","value":4952,"base":13}}},"used_operators":["mqXw5SEYmG","rxpJgHHUmx","i8ToyICDmI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1370","layer":2},{"info":"number node, value=1062","layer":2},{"info":"compute binary expreesion, left_input=1370, 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":1},{"info":"number node, value=1283","layer":2},{"info":"number node, value=4952","layer":2},{"info":"compute binary expreesion, left_input=1283, right_input=4952, 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 = 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":13,"result_base":13,"text":"⪎⋱⫍815≭⪎⋱⫍639⫸⊐(⪎⋱⫍779∲⫓⪎⋱⫍233C)=NaN","reverse_text":"NaN=⪎⋱⫍815≭⪎⋱⫍639⫸⊐(⪎⋱⫍779∲⫓⪎⋱⫍233C)","cot":[{"info":"⪎⋱⫍815≭⪎⋱⫍639=NaN","layer":1},{"info":"⪎⋱⫍779∲⫓⪎⋱⫍233C=⪎⋱⫍0","layer":1},{"info":"NaN⫸⊐⪎⋱⫍0=NaN","layer":0}]}
{"id":960,"expression_no_base_symbol":"($1581$⪨≂$1152$)+⇶⊼($4256$⩚⊴⇥$2193$)","expression":"(⪎⋱⫍948⪨≂⪎⋱⫍6A8)+⇶⊼(⪎⋱⫍1C25⩚⊴⇥⪎⋱⫍CC9)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1581,"base":13},"right_expr":{"type":"numeric_atoms","value":1152,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4256,"base":13},"right_expr":{"type":"numeric_atoms","value":2193,"base":13}}},"used_operators":["TpPTUOHfaN","sdazOOVcIp","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=1581, right_input=1152, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=960","layer":1},{"info":"number node, value=4256","layer":2},{"info":"number node, value=2193","layer":2},{"info":"compute binary expreesion, left_input=4256, right_input=2193, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6570","layer":1},{"info":"compute binary expreesion, left_input=960, right_input=-6570, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍948⪨≂⪎⋱⫍6A8)+⇶⊼(⪎⋱⫍1C25⩚⊴⇥⪎⋱⫍CC9)=NaN","reverse_text":"NaN=(⪎⋱⫍948⪨≂⪎⋱⫍6A8)+⇶⊼(⪎⋱⫍1C25⩚⊴⇥⪎⋱⫍CC9)","cot":[{"info":"⪎⋱⫍948⪨≂⪎⋱⫍6A8=⪎⋱⫍58B","layer":1},{"info":"⪎⋱⫍1C25⩚⊴⇥⪎⋱⫍CC9=⪎⋱⫍-2CB5","layer":1},{"info":"⪎⋱⫍58B+⇶⊼⪎⋱⫍-2CB5=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"($1678$+$1663$)⨓($3897$⨸⪁$3242$)","expression":"(⪎⋱⫍9C1+⪎⋱⫍9AC)⨓(⪎⋱⫍1A0A⨸⪁⪎⋱⫍1625)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14288,"operation_count":3,"complexity_ratio":4762.666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1678,"base":13},"right_expr":{"type":"numeric_atoms","value":1663,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3897,"base":13},"right_expr":{"type":"numeric_atoms","value":3242,"base":13}}},"used_operators":["3ViojmjbAp","W4YGzv6Whe","g55IO6H4Gj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe"],"result":"⪎⋱⫍-6667","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1678","layer":2},{"info":"number node, value=1663","layer":2},{"info":"compute binary expreesion, left_input=1678, right_input=1663, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3341","layer":1},{"info":"number node, value=3897","layer":2},{"info":"number node, value=3242","layer":2},{"info":"compute binary expreesion, left_input=3897, right_input=3242, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14278","layer":1},{"info":"compute binary expreesion, left_input=3341, right_input=14278, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-14281","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9C1+⪎⋱⫍9AC)⨓(⪎⋱⫍1A0A⨸⪁⪎⋱⫍1625)=⪎⋱⫍-6667","reverse_text":"⪎⋱⫍-6667=(⪎⋱⫍9C1+⪎⋱⫍9AC)⨓(⪎⋱⫍1A0A⨸⪁⪎⋱⫍1625)","cot":[{"info":"⪎⋱⫍9C1+⪎⋱⫍9AC=⪎⋱⫍16A0","layer":1},{"info":"⪎⋱⫍1A0A⨸⪁⪎⋱⫍1625=⪎⋱⫍6664","layer":1},{"info":"⪎⋱⫍16A0⨓⪎⋱⫍6664=⪎⋱⫍-6667","layer":0}]}
{"id":962,"expression_no_base_symbol":"↯⪼(⊥$3066$)","expression":"↯⪼(⊥⪎⋱⫍151B)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3066,"base":13}}},"used_operators":["8jW3W4yZS5","Q3PJZHRvZv"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","fu6greOZ01"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3066","layer":2},{"info":"compute unary expreesion, input=3066, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":13,"result_base":13,"text":"↯⪼(⊥⪎⋱⫍151B)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼(⊥⪎⋱⫍151B)","cot":[{"info":"⊥⪎⋱⫍151B=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":963,"expression_no_base_symbol":"⋗⩬⋾($8463$⨵⪆$4459$)","expression":"⋗⩬⋾(⪎⋱⫍3B10⨵⪆⪎⋱⫍2050)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8463,"base":13},"right_expr":{"type":"numeric_atoms","value":4459,"base":13}}},"used_operators":["DpFCA1CohY","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2AC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8463","layer":2},{"info":"number node, value=4459","layer":2},{"info":"compute binary expreesion, left_input=8463, right_input=4459, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(⪎⋱⫍3B10⨵⪆⪎⋱⫍2050)=⪎⋱⫍-2AC","reverse_text":"⪎⋱⫍-2AC=⋗⩬⋾(⪎⋱⫍3B10⨵⪆⪎⋱⫍2050)","cot":[{"info":"⪎⋱⫍3B10⨵⪆⪎⋱⫍2050=⪎⋱⫍C4","layer":1},{"info":"⋗⩬⋾⪎⋱⫍C4=⪎⋱⫍-2AC","layer":0}]}
{"id":964,"expression_no_base_symbol":"⩦⩻⨪($2543$≦≮≮)","expression":"⩦⩻⨪(⪎⋱⫍1208≦≮≮)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2543,"base":13}}},"used_operators":["2td37pGCOC","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-361B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2543","layer":2},{"info":"compute unary expreesion, input=2543, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7629","layer":1},{"info":"compute unary expreesion, input=-7629, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-7629","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍1208≦≮≮)=⪎⋱⫍-361B","reverse_text":"⪎⋱⫍-361B=⩦⩻⨪(⪎⋱⫍1208≦≮≮)","cot":[{"info":"⪎⋱⫍1208≦≮≮=⪎⋱⫍-361B","layer":1},{"info":"⩦⩻⨪⪎⋱⫍-361B=⪎⋱⫍-361B","layer":0}]}
{"id":965,"expression_no_base_symbol":"(⨞⊢$4205$)⇷($2792$⋳⪒$6530$)","expression":"(⨞⊢⪎⋱⫍1BB6)⇷(⪎⋱⫍136A⋳⪒⪎⋱⫍2C84)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61323,"operation_count":3,"complexity_ratio":20441.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4205,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2792,"base":13},"right_expr":{"type":"numeric_atoms","value":6530,"base":13}}},"used_operators":["mp7IySMOzn","xUOZtlo3hN","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4205","layer":2},{"info":"compute unary expreesion, input=4205, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4379","layer":1},{"info":"number node, value=2792","layer":2},{"info":"number node, value=6530","layer":2},{"info":"compute binary expreesion, left_input=2792, right_input=6530, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1233","layer":1},{"info":"compute binary expreesion, left_input=-4379, right_input=-1233, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍1BB6)⇷(⪎⋱⫍136A⋳⪒⪎⋱⫍2C84)=NaN","reverse_text":"NaN=(⨞⊢⪎⋱⫍1BB6)⇷(⪎⋱⫍136A⋳⪒⪎⋱⫍2C84)","cot":[{"info":"⨞⊢⪎⋱⫍1BB6=⪎⋱⫍-1CBB","layer":1},{"info":"⪎⋱⫍136A⋳⪒⪎⋱⫍2C84=⪎⋱⫍-73B","layer":1},{"info":"⪎⋱⫍-1CBB⇷⪎⋱⫍-73B=NaN","layer":0}]}
{"id":966,"expression_no_base_symbol":"$1838$⨓$5140$⋳⪒($4751$⊠≄⫣)","expression":"⪎⋱⫍AB5⨓⪎⋱⫍2455⋳⪒(⪎⋱⫍2216⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5156,"operation_count":3,"complexity_ratio":1718.6666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1838,"base":13},"right_expr":{"type":"numeric_atoms","value":5140,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4751,"base":13}}},"used_operators":["12rbrZMWeM","3ViojmjbAp","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-4A74","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":2},{"info":"number node, value=5140","layer":2},{"info":"compute binary expreesion, left_input=1838, right_input=5140, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5143","layer":1},{"info":"number node, value=4751","layer":2},{"info":"compute unary expreesion, input=4751, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-5143, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-10573","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍AB5⨓⪎⋱⫍2455⋳⪒(⪎⋱⫍2216⊠≄⫣)=⪎⋱⫍-4A74","reverse_text":"⪎⋱⫍-4A74=⪎⋱⫍AB5⨓⪎⋱⫍2455⋳⪒(⪎⋱⫍2216⊠≄⫣)","cot":[{"info":"⪎⋱⫍AB5⨓⪎⋱⫍2455=⪎⋱⫍-2458","layer":1},{"info":"⪎⋱⫍2216⊠≄⫣=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-2458⋳⪒⪎⋱⫍0=⪎⋱⫍-4A74","layer":0}]}
{"id":967,"expression_no_base_symbol":"($3694$⨸⪁$1650$)⇷($4529$%$3002$)","expression":"(⪎⋱⫍18B2⨸⪁⪎⋱⫍99C)⇷(⪎⋱⫍20A5%⪎⋱⫍149C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":149642,"operation_count":3,"complexity_ratio":49880.666666666664,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3694,"base":13},"right_expr":{"type":"numeric_atoms","value":1650,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4529,"base":13},"right_expr":{"type":"numeric_atoms","value":3002,"base":13}}},"used_operators":["mp7IySMOzn","g55IO6H4Gj","k8jYdgA6NY"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍150C","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3694","layer":2},{"info":"number node, value=1650","layer":2},{"info":"compute binary expreesion, left_input=3694, right_input=1650, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10688","layer":1},{"info":"number node, value=4529","layer":2},{"info":"number node, value=3002","layer":2},{"info":"compute binary expreesion, left_input=4529, right_input=3002, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1527","layer":1},{"info":"compute binary expreesion, left_input=10688, right_input=1527, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3054","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍18B2⨸⪁⪎⋱⫍99C)⇷(⪎⋱⫍20A5%⪎⋱⫍149C)=⪎⋱⫍150C","reverse_text":"⪎⋱⫍150C=(⪎⋱⫍18B2⨸⪁⪎⋱⫍99C)⇷(⪎⋱⫍20A5%⪎⋱⫍149C)","cot":[{"info":"⪎⋱⫍18B2⨸⪁⪎⋱⫍99C=⪎⋱⫍4B32","layer":1},{"info":"⪎⋱⫍20A5%⪎⋱⫍149C=⪎⋱⫍906","layer":1},{"info":"⪎⋱⫍4B32⇷⪎⋱⫍906=⪎⋱⫍150C","layer":0}]}
{"id":968,"expression_no_base_symbol":"($1713$↙$1152$)⩤","expression":"(⪎⋱⫍A1A↙⪎⋱⫍6A8)⩤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1156,"operation_count":2,"complexity_ratio":578.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1713,"base":13},"right_expr":{"type":"numeric_atoms","value":1152,"base":13}}},"used_operators":["Z2TMIBDE3Q","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍175B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1713","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=1152, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3456","layer":1},{"info":"compute unary expreesion, input=-3456, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=3456","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A1A↙⪎⋱⫍6A8)⩤=⪎⋱⫍175B","reverse_text":"⪎⋱⫍175B=(⪎⋱⫍A1A↙⪎⋱⫍6A8)⩤","cot":[{"info":"⪎⋱⫍A1A↙⪎⋱⫍6A8=⪎⋱⫍-175B","layer":1},{"info":"⪎⋱⫍-175B⩤=⪎⋱⫍175B","layer":0}]}
{"id":969,"expression_no_base_symbol":"$2134$⨎$3855$↙$2481$∼$3834$","expression":"⪎⋱⫍C82⨎⪎⋱⫍19A7↙⪎⋱⫍118B∼⪎⋱⫍198C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2134,"base":13},"right_expr":{"type":"numeric_atoms","value":3855,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2481,"base":13},"right_expr":{"type":"numeric_atoms","value":3834,"base":13}}},"used_operators":["yyfyN0ffXY","rJVOvQCfKK","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2134","layer":2},{"info":"number node, value=3855","layer":2},{"info":"compute binary expreesion, left_input=2134, right_input=3855, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3855","layer":1},{"info":"number node, value=2481","layer":2},{"info":"number node, value=3834","layer":2},{"info":"compute binary expreesion, left_input=2481, right_input=3834, 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=3855, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍C82⨎⪎⋱⫍19A7↙⪎⋱⫍118B∼⪎⋱⫍198C=NaN","reverse_text":"NaN=⪎⋱⫍C82⨎⪎⋱⫍19A7↙⪎⋱⫍118B∼⪎⋱⫍198C","cot":[{"info":"⪎⋱⫍C82⨎⪎⋱⫍19A7=⪎⋱⫍19A7","layer":1},{"info":"⪎⋱⫍118B∼⪎⋱⫍198C=NaN","layer":1},{"info":"⪎⋱⫍19A7↙NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"(↩$1710$)≹⇙⪍($4497$⋥≓≎$1943$)","expression":"(↩⪎⋱⫍A17)≹⇙⪍(⪎⋱⫍207C⋥≓≎⪎⋱⫍B66)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":337772,"operation_count":3,"complexity_ratio":112590.66666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1710,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4497,"base":13},"right_expr":{"type":"numeric_atoms","value":1943,"base":13}}},"used_operators":["AHs5Up7iyr","jLgFTUHLKL","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":2},{"info":"compute unary expreesion, input=1710, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10900","layer":1},{"info":"number node, value=4497","layer":2},{"info":"number node, value=1943","layer":2},{"info":"compute binary expreesion, left_input=4497, right_input=1943, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-578","layer":1},{"info":"compute binary expreesion, left_input=-10900, right_input=-578, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(↩⪎⋱⫍A17)≹⇙⪍(⪎⋱⫍207C⋥≓≎⪎⋱⫍B66)=NaN","reverse_text":"NaN=(↩⪎⋱⫍A17)≹⇙⪍(⪎⋱⫍207C⋥≓≎⪎⋱⫍B66)","cot":[{"info":"↩⪎⋱⫍A17=⪎⋱⫍-4C66","layer":1},{"info":"⪎⋱⫍207C⋥≓≎⪎⋱⫍B66=⪎⋱⫍-356","layer":1},{"info":"⪎⋱⫍-4C66≹⇙⪍⪎⋱⫍-356=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"(≤/$5568$)∲⫓$3086$↺$1621$","expression":"(≤/⪎⋱⫍26C4)∲⫓⪎⋱⫍1535↺⪎⋱⫍979","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5568,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3086,"base":13},"right_expr":{"type":"numeric_atoms","value":1621,"base":13}}},"used_operators":["i8ToyICDmI","eLAdDNolq6","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5568","layer":2},{"info":"compute unary expreesion, input=5568, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5084","layer":1},{"info":"number node, value=3086","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=3086, right_input=1621, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1621","layer":1},{"info":"compute binary expreesion, left_input=-5084, right_input=1621, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍26C4)∲⫓⪎⋱⫍1535↺⪎⋱⫍979=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(≤/⪎⋱⫍26C4)∲⫓⪎⋱⫍1535↺⪎⋱⫍979","cot":[{"info":"≤/⪎⋱⫍26C4=⪎⋱⫍-2411","layer":1},{"info":"⪎⋱⫍1535↺⪎⋱⫍979=⪎⋱⫍979","layer":1},{"info":"⪎⋱⫍-2411∲⫓⪎⋱⫍979=⪎⋱⫍0","layer":0}]}
{"id":972,"expression_no_base_symbol":"$8912$⇷$2726$⫡⨏(-$2812$)","expression":"⪎⋱⫍4097⇷⪎⋱⫍1319⫡⨏(-⪎⋱⫍1384)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":124782,"operation_count":3,"complexity_ratio":41594.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8912,"base":13},"right_expr":{"type":"numeric_atoms","value":2726,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2812,"base":13}}},"used_operators":["QMFrweE19q","mp7IySMOzn","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍A287","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8912","layer":2},{"info":"number node, value=2726","layer":2},{"info":"compute binary expreesion, left_input=8912, right_input=2726, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5452","layer":1},{"info":"number node, value=2812","layer":2},{"info":"compute unary expreesion, input=2812, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2812","layer":1},{"info":"compute binary expreesion, left_input=5452, right_input=-2812, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22419","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍4097⇷⪎⋱⫍1319⫡⨏(-⪎⋱⫍1384)=⪎⋱⫍A287","reverse_text":"⪎⋱⫍A287=⪎⋱⫍4097⇷⪎⋱⫍1319⫡⨏(-⪎⋱⫍1384)","cot":[{"info":"⪎⋱⫍4097⇷⪎⋱⫍1319=⪎⋱⫍2635","layer":1},{"info":"-⪎⋱⫍1384=⪎⋱⫍-1384","layer":1},{"info":"⪎⋱⫍2635⫡⨏⪎⋱⫍-1384=⪎⋱⫍A287","layer":0}]}
{"id":973,"expression_no_base_symbol":"$4266$⊭↱$3184$⪒$1748$↙$3768$","expression":"⪎⋱⫍1C32⊭↱⪎⋱⫍15AC⪒⪎⋱⫍A46↙⪎⋱⫍193B","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3780,"operation_count":3,"complexity_ratio":1260.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4266,"base":13},"right_expr":{"type":"numeric_atoms","value":3184,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1748,"base":13},"right_expr":{"type":"numeric_atoms","value":3768,"base":13}}},"used_operators":["f6k1SAg4EE","COABgblf1C","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍6188","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4266","layer":2},{"info":"number node, value=3184","layer":2},{"info":"compute binary expreesion, left_input=4266, right_input=3184, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2159","layer":1},{"info":"number node, value=1748","layer":2},{"info":"number node, value=3768","layer":2},{"info":"compute binary expreesion, left_input=1748, right_input=3768, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11304","layer":1},{"info":"compute binary expreesion, left_input=-2159, right_input=-11304, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=13463","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1C32⊭↱⪎⋱⫍15AC⪒⪎⋱⫍A46↙⪎⋱⫍193B=⪎⋱⫍6188","reverse_text":"⪎⋱⫍6188=⪎⋱⫍1C32⊭↱⪎⋱⫍15AC⪒⪎⋱⫍A46↙⪎⋱⫍193B","cot":[{"info":"⪎⋱⫍1C32⊭↱⪎⋱⫍15AC=⪎⋱⫍-CA1","layer":1},{"info":"⪎⋱⫍A46↙⪎⋱⫍193B=⪎⋱⫍-51B7","layer":1},{"info":"⪎⋱⫍-CA1⪒⪎⋱⫍-51B7=⪎⋱⫍6188","layer":0}]}
{"id":974,"expression_no_base_symbol":"($4042$⫸⊐$3172$)⇷$1490$⪛$1332$","expression":"(⪎⋱⫍1ABC⫸⊐⪎⋱⫍15A0)⇷⪎⋱⫍8A8⪛⪎⋱⫍7B6","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":175916,"operation_count":3,"complexity_ratio":58638.666666666664,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4042,"base":13},"right_expr":{"type":"numeric_atoms","value":3172,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1490,"base":13},"right_expr":{"type":"numeric_atoms","value":1332,"base":13}}},"used_operators":["mp7IySMOzn","mqXw5SEYmG","uFcxV4UQCh"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍1B4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4042","layer":2},{"info":"number node, value=3172","layer":2},{"info":"compute binary expreesion, left_input=4042, right_input=3172, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12563","layer":1},{"info":"number node, value=1490","layer":2},{"info":"number node, value=1332","layer":2},{"info":"compute binary expreesion, left_input=1490, right_input=1332, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=158","layer":1},{"info":"compute binary expreesion, left_input=12563, right_input=158, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=316","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1ABC⫸⊐⪎⋱⫍15A0)⇷⪎⋱⫍8A8⪛⪎⋱⫍7B6=⪎⋱⫍1B4","reverse_text":"⪎⋱⫍1B4=(⪎⋱⫍1ABC⫸⊐⪎⋱⫍15A0)⇷⪎⋱⫍8A8⪛⪎⋱⫍7B6","cot":[{"info":"⪎⋱⫍1ABC⫸⊐⪎⋱⫍15A0=⪎⋱⫍5945","layer":1},{"info":"⪎⋱⫍8A8⪛⪎⋱⫍7B6=⪎⋱⫍C2","layer":1},{"info":"⪎⋱⫍5945⇷⪎⋱⫍C2=⪎⋱⫍1B4","layer":0}]}
{"id":975,"expression_no_base_symbol":"($5199$⨓$9462$)⪮%⊝(⊄⩳↩$1147$)","expression":"(⪎⋱⫍249C⨓⪎⋱⫍43CB)⪮%⊝(⊄⩳↩⪎⋱⫍6A3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9480,"operation_count":3,"complexity_ratio":3160.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5199,"base":13},"right_expr":{"type":"numeric_atoms","value":9462,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1147,"base":13}}},"used_operators":["IWmyXbctLI","3ViojmjbAp","8w2t5hMYqp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-861B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5199","layer":2},{"info":"number node, value=9462","layer":2},{"info":"compute binary expreesion, left_input=5199, right_input=9462, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9465","layer":1},{"info":"number node, value=1147","layer":2},{"info":"compute unary expreesion, input=1147, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3441","layer":1},{"info":"compute binary expreesion, left_input=-9465, right_input=-3441, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-18614","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍249C⨓⪎⋱⫍43CB)⪮%⊝(⊄⩳↩⪎⋱⫍6A3)=⪎⋱⫍-861B","reverse_text":"⪎⋱⫍-861B=(⪎⋱⫍249C⨓⪎⋱⫍43CB)⪮%⊝(⊄⩳↩⪎⋱⫍6A3)","cot":[{"info":"⪎⋱⫍249C⨓⪎⋱⫍43CB=⪎⋱⫍-4401","layer":1},{"info":"⊄⩳↩⪎⋱⫍6A3=⪎⋱⫍-1749","layer":1},{"info":"⪎⋱⫍-4401⪮%⊝⪎⋱⫍-1749=⪎⋱⫍-861B","layer":0}]}
{"id":976,"expression_no_base_symbol":"(⪝⪂⫅$4050$)-(↣≠⋷$1099$)","expression":"(⪝⪂⫅⪎⋱⫍1AC7)-(↣≠⋷⪎⋱⫍667)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":154,"operation_count":3,"complexity_ratio":51.333333333333336,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4050,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1099,"base":13}}},"used_operators":["rysDP5nf3Z","XTarYq4gQB","Asc51vEJeQ"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4050","layer":2},{"info":"compute unary expreesion, input=4050, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-595350","layer":1},{"info":"number node, value=1099","layer":2},{"info":"compute unary expreesion, input=1099, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-595350, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍1AC7)-(↣≠⋷⪎⋱⫍667)=NaN","reverse_text":"NaN=(⪝⪂⫅⪎⋱⫍1AC7)-(↣≠⋷⪎⋱⫍667)","cot":[{"info":"⪝⪂⫅⪎⋱⫍1AC7=⪎⋱⫍-17ACA2","layer":1},{"info":"↣≠⋷⪎⋱⫍667=NaN","layer":1},{"info":"⪎⋱⫍-17ACA2-NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"$1491$⪄$1140$↛⩡⫤","expression":"⪎⋱⫍8A9⪄⪎⋱⫍699↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":664161,"operation_count":2,"complexity_ratio":332080.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1491,"base":13},"right_expr":{"type":"numeric_atoms","value":1140,"base":13}}},"used_operators":["FU0Cs4j7VP","SUmda5xLS4"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍-672C612","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1491","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=1491, right_input=1140, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-221317","layer":1},{"info":"compute unary expreesion, input=-221317, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-31644420","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍8A9⪄⪎⋱⫍699↛⩡⫤=⪎⋱⫍-672C612","reverse_text":"⪎⋱⫍-672C612=⪎⋱⫍8A9⪄⪎⋱⫍699↛⩡⫤","cot":[{"info":"⪎⋱⫍8A9⪄⪎⋱⫍699=⪎⋱⫍-79975","layer":1},{"info":"⪎⋱⫍-79975↛⩡⫤=⪎⋱⫍-672C612","layer":0}]}
{"id":978,"expression_no_base_symbol":"$4036$⫥∨⫟$1855$⫡⨏(⨞⊢$6880$)","expression":"⪎⋱⫍1AB6⫥∨⫟⪎⋱⫍AC9⫡⨏(⨞⊢⪎⋱⫍3193)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4036,"base":13},"right_expr":{"type":"numeric_atoms","value":1855,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6880,"base":13}}},"used_operators":["QMFrweE19q","KYD54nUTWz","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4036","layer":2},{"info":"number node, value=1855","layer":2},{"info":"compute binary expreesion, left_input=4036, right_input=1855, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6880","layer":2},{"info":"compute unary expreesion, input=6880, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7054","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7054, op_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":13,"result_base":13,"text":"⪎⋱⫍1AB6⫥∨⫟⪎⋱⫍AC9⫡⨏(⨞⊢⪎⋱⫍3193)=NaN","reverse_text":"NaN=⪎⋱⫍1AB6⫥∨⫟⪎⋱⫍AC9⫡⨏(⨞⊢⪎⋱⫍3193)","cot":[{"info":"⪎⋱⫍1AB6⫥∨⫟⪎⋱⫍AC9=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍3193=⪎⋱⫍-3298","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-3298=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"($4876$⫸⊐$1600$)⩤","expression":"(⪎⋱⫍22B1⫸⊐⪎⋱⫍961)⩤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4876,"base":13},"right_expr":{"type":"numeric_atoms","value":1600,"base":13}}},"used_operators":["Z2TMIBDE3Q","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-2B19","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4876","layer":2},{"info":"number node, value=1600","layer":2},{"info":"compute binary expreesion, left_input=4876, right_input=1600, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6275","layer":1},{"info":"compute unary expreesion, input=6275, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6275","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍22B1⫸⊐⪎⋱⫍961)⩤=⪎⋱⫍-2B19","reverse_text":"⪎⋱⫍-2B19=(⪎⋱⫍22B1⫸⊐⪎⋱⫍961)⩤","cot":[{"info":"⪎⋱⫍22B1⫸⊐⪎⋱⫍961=⪎⋱⫍2B19","layer":1},{"info":"⪎⋱⫍2B19⩤=⪎⋱⫍-2B19","layer":0}]}
{"id":980,"expression_no_base_symbol":"$2927$⋝⋈⪟$1676$⋓($2398$≣⋋)","expression":"⪎⋱⫍1442⋝⋈⪟⪎⋱⫍9BC⋓(⪎⋱⫍1126≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":530,"operation_count":3,"complexity_ratio":176.66666666666666,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2927,"base":13},"right_expr":{"type":"numeric_atoms","value":1676,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2398,"base":13}}},"used_operators":["T2fj7uvVaJ","2DDjHMKMc0","Tcnh7f0tEr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2927","layer":2},{"info":"number node, value=1676","layer":2},{"info":"compute binary expreesion, left_input=2927, right_input=1676, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2927","layer":1},{"info":"number node, value=2398","layer":2},{"info":"compute unary expreesion, input=2398, 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=2927, 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":13,"result_base":13,"text":"⪎⋱⫍1442⋝⋈⪟⪎⋱⫍9BC⋓(⪎⋱⫍1126≣⋋)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍1442⋝⋈⪟⪎⋱⫍9BC⋓(⪎⋱⫍1126≣⋋)","cot":[{"info":"⪎⋱⫍1442⋝⋈⪟⪎⋱⫍9BC=⪎⋱⫍1442","layer":1},{"info":"⪎⋱⫍1126≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1442⋓⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":981,"expression_no_base_symbol":"$3574$≭$5736$⊉≛↸$1816$⇷$1242$","expression":"⪎⋱⫍181C≭⪎⋱⫍27C3⊉≛↸⪎⋱⫍A99⇷⪎⋱⫍747","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25433,"operation_count":3,"complexity_ratio":8477.666666666666,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3574,"base":13},"right_expr":{"type":"numeric_atoms","value":5736,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1816,"base":13},"right_expr":{"type":"numeric_atoms","value":1242,"base":13}}},"used_operators":["DZ8iAZOCBD","rxpJgHHUmx","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":2},{"info":"number node, value=5736","layer":2},{"info":"compute binary expreesion, left_input=3574, right_input=5736, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1816","layer":2},{"info":"number node, value=1242","layer":2},{"info":"compute binary expreesion, left_input=1816, right_input=1242, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2484","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2484, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍181C≭⪎⋱⫍27C3⊉≛↸⪎⋱⫍A99⇷⪎⋱⫍747=NaN","reverse_text":"NaN=⪎⋱⫍181C≭⪎⋱⫍27C3⊉≛↸⪎⋱⫍A99⇷⪎⋱⫍747","cot":[{"info":"⪎⋱⫍181C≭⪎⋱⫍27C3=NaN","layer":1},{"info":"⪎⋱⫍A99⇷⪎⋱⫍747=⪎⋱⫍1191","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍1191=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"$1036$⨟⋌⩍$1025$⋥≓≎$2608$≧⫂∧$3149$","expression":"⪎⋱⫍619⨟⋌⩍⪎⋱⫍60B⋥≓≎⪎⋱⫍1258≧⫂∧⪎⋱⫍1583","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":1025,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2608,"base":13},"right_expr":{"type":"numeric_atoms","value":3149,"base":13}}},"used_operators":["Qy55tPpLXF","rGHVDoGpnC","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=1025, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2608","layer":2},{"info":"number node, value=3149","layer":2},{"info":"compute binary expreesion, left_input=2608, right_input=3149, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2676","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2676, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍619⨟⋌⩍⪎⋱⫍60B⋥≓≎⪎⋱⫍1258≧⫂∧⪎⋱⫍1583=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=⪎⋱⫍619⨟⋌⩍⪎⋱⫍60B⋥≓≎⪎⋱⫍1258≧⫂∧⪎⋱⫍1583","cot":[{"info":"⪎⋱⫍619⨟⋌⩍⪎⋱⫍60B=NaN","layer":1},{"info":"⪎⋱⫍1258≧⫂∧⪎⋱⫍1583=⪎⋱⫍12AB","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍12AB=⪎⋱⫍52","layer":0}]}
{"id":983,"expression_no_base_symbol":"(⨑⩽⪐$5867$)⋓$1528$↬$1175$","expression":"(⨑⩽⪐⪎⋱⫍2894)⋓⪎⋱⫍907↬⪎⋱⫍6C5","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5867,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1528,"base":13},"right_expr":{"type":"numeric_atoms","value":1175,"base":13}}},"used_operators":["T2fj7uvVaJ","AF7qkfDlqP","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5867","layer":2},{"info":"compute unary expreesion, input=5867, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5594","layer":1},{"info":"number node, value=1528","layer":2},{"info":"number node, value=1175","layer":2},{"info":"compute binary expreesion, left_input=1528, 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":1},{"info":"compute binary expreesion, left_input=-5594, 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":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍2894)⋓⪎⋱⫍907↬⪎⋱⫍6C5=NaN","reverse_text":"NaN=(⨑⩽⪐⪎⋱⫍2894)⋓⪎⋱⫍907↬⪎⋱⫍6C5","cot":[{"info":"⨑⩽⪐⪎⋱⫍2894=⪎⋱⫍-2714","layer":1},{"info":"⪎⋱⫍907↬⪎⋱⫍6C5=NaN","layer":1},{"info":"⪎⋱⫍-2714⋓NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"($3443$⪐)⪘⫢($1251$∲⫓$4934$)","expression":"(⪎⋱⫍174B⪐)⪘⫢(⪎⋱⫍753∲⫓⪎⋱⫍2327)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3443,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1251,"base":13},"right_expr":{"type":"numeric_atoms","value":4934,"base":13}}},"used_operators":["oacrs7FA3X","eH2TOUuTDT","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3443","layer":2},{"info":"compute unary expreesion, input=3443, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6886","layer":1},{"info":"number node, value=1251","layer":2},{"info":"number node, value=4934","layer":2},{"info":"compute binary expreesion, left_input=1251, right_input=4934, 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=6886, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍174B⪐)⪘⫢(⪎⋱⫍753∲⫓⪎⋱⫍2327)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍174B⪐)⪘⫢(⪎⋱⫍753∲⫓⪎⋱⫍2327)","cot":[{"info":"⪎⋱⫍174B⪐=⪎⋱⫍3199","layer":1},{"info":"⪎⋱⫍753∲⫓⪎⋱⫍2327=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍3199⪘⫢⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":985,"expression_no_base_symbol":"($4239$⫸⊐$1063$)≹⇙⪍($3391$≧⫂∧$1316$)","expression":"(⪎⋱⫍1C11⫸⊐⪎⋱⫍63A)≹⇙⪍(⪎⋱⫍170B≧⫂∧⪎⋱⫍7A3)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":720668,"operation_count":3,"complexity_ratio":240222.66666666666,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4239,"base":13},"right_expr":{"type":"numeric_atoms","value":1063,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3391,"base":13},"right_expr":{"type":"numeric_atoms","value":1316,"base":13}}},"used_operators":["AHs5Up7iyr","mqXw5SEYmG","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4239","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=4239, right_input=1063, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4127","layer":1},{"info":"number node, value=3391","layer":2},{"info":"number node, value=1316","layer":2},{"info":"compute binary expreesion, left_input=3391, right_input=1316, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=843","layer":1},{"info":"compute binary expreesion, left_input=4127, right_input=843, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(⪎⋱⫍1C11⫸⊐⪎⋱⫍63A)≹⇙⪍(⪎⋱⫍170B≧⫂∧⪎⋱⫍7A3)=NaN","reverse_text":"NaN=(⪎⋱⫍1C11⫸⊐⪎⋱⫍63A)≹⇙⪍(⪎⋱⫍170B≧⫂∧⪎⋱⫍7A3)","cot":[{"info":"⪎⋱⫍1C11⫸⊐⪎⋱⫍63A=⪎⋱⫍1B56","layer":1},{"info":"⪎⋱⫍170B≧⫂∧⪎⋱⫍7A3=⪎⋱⫍4CB","layer":1},{"info":"⪎⋱⫍1B56≹⇙⪍⪎⋱⫍4CB=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"($2137$⫩⊇)⨽$2532$⨽$2228$","expression":"(⪎⋱⫍C85⫩⊇)⨽⪎⋱⫍11CA⨽⪎⋱⫍1025","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4647,"operation_count":3,"complexity_ratio":1549.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2137,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2532,"base":13},"right_expr":{"type":"numeric_atoms","value":2228,"base":13}}},"used_operators":["8HhzD0ZcuI","BjRHVeLaeN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍92CA5B8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":2},{"info":"compute unary expreesion, input=2137, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2095","layer":1},{"info":"number node, value=2532","layer":2},{"info":"number node, value=2228","layer":2},{"info":"compute binary expreesion, left_input=2532, right_input=2228, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-19238442","layer":1},{"info":"compute binary expreesion, left_input=-2095, right_input=-19238442, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=44549565","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C85⫩⊇)⨽⪎⋱⫍11CA⨽⪎⋱⫍1025=⪎⋱⫍92CA5B8","reverse_text":"⪎⋱⫍92CA5B8=(⪎⋱⫍C85⫩⊇)⨽⪎⋱⫍11CA⨽⪎⋱⫍1025","cot":[{"info":"⪎⋱⫍C85⫩⊇=⪎⋱⫍-C52","layer":1},{"info":"⪎⋱⫍11CA⨽⪎⋱⫍1025=⪎⋱⫍-3CA78C2","layer":1},{"info":"⪎⋱⫍-C52⨽⪎⋱⫍-3CA78C2=⪎⋱⫍92CA5B8","layer":0}]}
{"id":987,"expression_no_base_symbol":"$4752$⨪↰⇹$4725$⊭∹↮","expression":"⪎⋱⫍2217⨪↰⇹⪎⋱⫍21C6⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4758,"operation_count":2,"complexity_ratio":2379.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4752,"base":13},"right_expr":{"type":"numeric_atoms","value":4725,"base":13}}},"used_operators":["xNBdhnnwKq","tmPS8pqC7x"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"⪎⋱⫍4431","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4752","layer":2},{"info":"number node, value=4725","layer":2},{"info":"compute binary expreesion, left_input=4752, right_input=4725, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4752","layer":1},{"info":"compute unary expreesion, input=4752, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9504","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍2217⨪↰⇹⪎⋱⫍21C6⊭∹↮=⪎⋱⫍4431","reverse_text":"⪎⋱⫍4431=⪎⋱⫍2217⨪↰⇹⪎⋱⫍21C6⊭∹↮","cot":[{"info":"⪎⋱⫍2217⨪↰⇹⪎⋱⫍21C6=⪎⋱⫍2217","layer":1},{"info":"⪎⋱⫍2217⊭∹↮=⪎⋱⫍4431","layer":0}]}
{"id":988,"expression_no_base_symbol":"(⇁⨣⪵$7450$)↙$3370$↬$3171$","expression":"(⇁⨣⪵⪎⋱⫍3511)↙⪎⋱⫍16C3↬⪎⋱⫍159C","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7450,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3370,"base":13},"right_expr":{"type":"numeric_atoms","value":3171,"base":13}}},"used_operators":["yyfyN0ffXY","inkyxCbjAn","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7450","layer":2},{"info":"compute unary expreesion, input=7450, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3370","layer":2},{"info":"number node, value=3171","layer":2},{"info":"compute binary expreesion, left_input=3370, right_input=3171, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍3511)↙⪎⋱⫍16C3↬⪎⋱⫍159C=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍3511)↙⪎⋱⫍16C3↬⪎⋱⫍159C","cot":[{"info":"⇁⨣⪵⪎⋱⫍3511=NaN","layer":1},{"info":"⪎⋱⫍16C3↬⪎⋱⫍159C=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"($4971$⩨$6912$)⨐⩸⫘($2622$⇼⇔∾$3113$)","expression":"(⪎⋱⫍2355⩨⪎⋱⫍31B9)⨐⩸⫘(⪎⋱⫍1269⇼⇔∾⪎⋱⫍1556)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":244033,"operation_count":3,"complexity_ratio":81344.33333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4971,"base":13},"right_expr":{"type":"numeric_atoms","value":6912,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2622,"base":13},"right_expr":{"type":"numeric_atoms","value":3113,"base":13}}},"used_operators":["fu6greOZ01","2DlMacCsIx","tifHPKVTfV"],"dependent_operators":["3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-2C0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4971","layer":2},{"info":"number node, value=6912","layer":2},{"info":"compute binary expreesion, left_input=4971, right_input=6912, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=2622","layer":2},{"info":"number node, value=3113","layer":2},{"info":"compute binary expreesion, left_input=2622, right_input=3113, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=491","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=491, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-494","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2355⩨⪎⋱⫍31B9)⨐⩸⫘(⪎⋱⫍1269⇼⇔∾⪎⋱⫍1556)=⪎⋱⫍-2C0","reverse_text":"⪎⋱⫍-2C0=(⪎⋱⫍2355⩨⪎⋱⫍31B9)⨐⩸⫘(⪎⋱⫍1269⇼⇔∾⪎⋱⫍1556)","cot":[{"info":"⪎⋱⫍2355⩨⪎⋱⫍31B9=⪎⋱⫍-3","layer":1},{"info":"⪎⋱⫍1269⇼⇔∾⪎⋱⫍1556=⪎⋱⫍2BA","layer":1},{"info":"⪎⋱⫍-3⨐⩸⫘⪎⋱⫍2BA=⪎⋱⫍-2C0","layer":0}]}
{"id":990,"expression_no_base_symbol":"($2626$⫥∨⫟$2443$)+⇶⊼($3460$≫≃)","expression":"(⪎⋱⫍1270⫥∨⫟⪎⋱⫍115C)+⇶⊼(⪎⋱⫍1762≫≃)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2626,"base":13},"right_expr":{"type":"numeric_atoms","value":2443,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3460,"base":13}}},"used_operators":["TpPTUOHfaN","KYD54nUTWz","X99M06cbEe"],"dependent_operators":["AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2626","layer":2},{"info":"number node, value=2443","layer":2},{"info":"compute binary expreesion, left_input=2626, right_input=2443, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3460","layer":2},{"info":"compute unary expreesion, input=3460, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8321","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8321, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍1270⫥∨⫟⪎⋱⫍115C)+⇶⊼(⪎⋱⫍1762≫≃)=NaN","reverse_text":"NaN=(⪎⋱⫍1270⫥∨⫟⪎⋱⫍115C)+⇶⊼(⪎⋱⫍1762≫≃)","cot":[{"info":"⪎⋱⫍1270⫥∨⫟⪎⋱⫍115C=NaN","layer":1},{"info":"⪎⋱⫍1762≫≃=⪎⋱⫍3A31","layer":1},{"info":"NaN+⇶⊼⪎⋱⫍3A31=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"($1103$⪐)⩷∴($1528$-$2889$)","expression":"(⪎⋱⫍66B⪐)⩷∴(⪎⋱⫍907-⪎⋱⫍1413)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1103,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1528,"base":13},"right_expr":{"type":"numeric_atoms","value":2889,"base":13}}},"used_operators":["9FxExcQeMw","eH2TOUuTDT","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍3304","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"compute unary expreesion, input=1103, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2206","layer":1},{"info":"number node, value=1528","layer":2},{"info":"number node, value=2889","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=2889, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1361","layer":1},{"info":"compute binary expreesion, left_input=2206, right_input=-1361, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7102","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍66B⪐)⩷∴(⪎⋱⫍907-⪎⋱⫍1413)=⪎⋱⫍3304","reverse_text":"⪎⋱⫍3304=(⪎⋱⫍66B⪐)⩷∴(⪎⋱⫍907-⪎⋱⫍1413)","cot":[{"info":"⪎⋱⫍66B⪐=⪎⋱⫍1009","layer":1},{"info":"⪎⋱⫍907-⪎⋱⫍1413=⪎⋱⫍-809","layer":1},{"info":"⪎⋱⫍1009⩷∴⪎⋱⫍-809=⪎⋱⫍3304","layer":0}]}
{"id":992,"expression_no_base_symbol":"$1247$⋷$3695$/$1075$∑⇟⊟$2457$","expression":"⪎⋱⫍74C⋷⪎⋱⫍18B3/⪎⋱⫍649∑⇟⊟⪎⋱⫍1170","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1247,"base":13},"right_expr":{"type":"numeric_atoms","value":3695,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1075,"base":13},"right_expr":{"type":"numeric_atoms","value":2457,"base":13}}},"used_operators":["XhwjNDsVaA","23Mk6UjR3U","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1247","layer":2},{"info":"number node, value=3695","layer":2},{"info":"compute binary expreesion, left_input=1247, right_input=3695, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6143","layer":1},{"info":"number node, value=1075","layer":2},{"info":"number node, value=2457","layer":2},{"info":"compute binary expreesion, left_input=1075, right_input=2457, 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=6143, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍74C⋷⪎⋱⫍18B3/⪎⋱⫍649∑⇟⊟⪎⋱⫍1170=NaN","reverse_text":"NaN=⪎⋱⫍74C⋷⪎⋱⫍18B3/⪎⋱⫍649∑⇟⊟⪎⋱⫍1170","cot":[{"info":"⪎⋱⫍74C⋷⪎⋱⫍18B3=⪎⋱⫍2A47","layer":1},{"info":"⪎⋱⫍649∑⇟⊟⪎⋱⫍1170=NaN","layer":1},{"info":"⪎⋱⫍2A47/NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"$1292$≧⫂∧$1843$⨵⪆$1387$⨳⩥⨓$4604$","expression":"⪎⋱⫍785≧⫂∧⪎⋱⫍ABA⨵⪆⪎⋱⫍829⨳⩥⨓⪎⋱⫍2132","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1292,"base":13},"right_expr":{"type":"numeric_atoms","value":1843,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1387,"base":13},"right_expr":{"type":"numeric_atoms","value":4604,"base":13}}},"used_operators":["2DQ55sFlQl","Ph9nP6C5qx","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"number node, value=1843","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=1843, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1370","layer":1},{"info":"number node, value=1387","layer":2},{"info":"number node, value=4604","layer":2},{"info":"compute binary expreesion, left_input=1387, right_input=4604, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3217","layer":1},{"info":"compute binary expreesion, left_input=1370, right_input=3217, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍785≧⫂∧⪎⋱⫍ABA⨵⪆⪎⋱⫍829⨳⩥⨓⪎⋱⫍2132=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍785≧⫂∧⪎⋱⫍ABA⨵⪆⪎⋱⫍829⨳⩥⨓⪎⋱⫍2132","cot":[{"info":"⪎⋱⫍785≧⫂∧⪎⋱⫍ABA=⪎⋱⫍815","layer":1},{"info":"⪎⋱⫍829⨳⩥⨓⪎⋱⫍2132=⪎⋱⫍1606","layer":1},{"info":"⪎⋱⫍815⨵⪆⪎⋱⫍1606=⪎⋱⫍C4","layer":0}]}
{"id":994,"expression_no_base_symbol":"(⩦⩻⨪$1120$)⨟⋌⩍($1715$⨰$2638$)","expression":"(⩦⩻⨪⪎⋱⫍682)⨟⋌⩍(⪎⋱⫍A1C⨰⪎⋱⫍127C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4171,"operation_count":3,"complexity_ratio":1390.3333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1120,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1715,"base":13},"right_expr":{"type":"numeric_atoms","value":2638,"base":13}}},"used_operators":["rGHVDoGpnC","2td37pGCOC","eewbuw0ToL"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1120","layer":2},{"info":"compute unary expreesion, input=1120, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1120","layer":1},{"info":"number node, value=1715","layer":2},{"info":"number node, value=2638","layer":2},{"info":"compute binary expreesion, left_input=1715, right_input=2638, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-913","layer":1},{"info":"compute binary expreesion, left_input=1120, right_input=-913, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍682)⨟⋌⩍(⪎⋱⫍A1C⨰⪎⋱⫍127C)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⩦⩻⨪⪎⋱⫍682)⨟⋌⩍(⪎⋱⫍A1C⨰⪎⋱⫍127C)","cot":[{"info":"⩦⩻⨪⪎⋱⫍682=⪎⋱⫍682","layer":1},{"info":"⪎⋱⫍A1C⨰⪎⋱⫍127C=⪎⋱⫍-553","layer":1},{"info":"⪎⋱⫍682⨟⋌⩍⪎⋱⫍-553=⪎⋱⫍0","layer":0}]}
{"id":995,"expression_no_base_symbol":"$2979$∲⫓$1857$+$2522$⪘⫢$3735$","expression":"⪎⋱⫍1482∲⫓⪎⋱⫍ACB+⪎⋱⫍11C0⪘⫢⪎⋱⫍1914","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2979,"base":13},"right_expr":{"type":"numeric_atoms","value":1857,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2522,"base":13},"right_expr":{"type":"numeric_atoms","value":3735,"base":13}}},"used_operators":["W4YGzv6Whe","i8ToyICDmI","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍2316","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2979","layer":2},{"info":"number node, value=1857","layer":2},{"info":"compute binary expreesion, left_input=2979, right_input=1857, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2522","layer":2},{"info":"number node, value=3735","layer":2},{"info":"compute binary expreesion, left_input=2522, right_input=3735, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4920","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4920, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4920","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1482∲⫓⪎⋱⫍ACB+⪎⋱⫍11C0⪘⫢⪎⋱⫍1914=⪎⋱⫍2316","reverse_text":"⪎⋱⫍2316=⪎⋱⫍1482∲⫓⪎⋱⫍ACB+⪎⋱⫍11C0⪘⫢⪎⋱⫍1914","cot":[{"info":"⪎⋱⫍1482∲⫓⪎⋱⫍ACB=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍11C0⪘⫢⪎⋱⫍1914=⪎⋱⫍2316","layer":1},{"info":"⪎⋱⫍0+⪎⋱⫍2316=⪎⋱⫍2316","layer":0}]}
{"id":996,"expression_no_base_symbol":"($7542$↙$2018$)⋝⋈⪟($4242$⊭↱$4233$)","expression":"(⪎⋱⫍3582↙⪎⋱⫍BC3)⋝⋈⪟(⪎⋱⫍1C14⊭↱⪎⋱⫍1C08)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2030,"operation_count":3,"complexity_ratio":676.6666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7542,"base":13},"right_expr":{"type":"numeric_atoms","value":2018,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4242,"base":13},"right_expr":{"type":"numeric_atoms","value":4233,"base":13}}},"used_operators":["2DDjHMKMc0","yyfyN0ffXY","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-29A9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7542","layer":2},{"info":"number node, value=2018","layer":2},{"info":"compute binary expreesion, left_input=7542, right_input=2018, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6054","layer":1},{"info":"number node, value=4242","layer":2},{"info":"number node, value=4233","layer":2},{"info":"compute binary expreesion, left_input=4242, right_input=4233, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-13","layer":1},{"info":"compute binary expreesion, left_input=-6054, right_input=-13, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6054","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3582↙⪎⋱⫍BC3)⋝⋈⪟(⪎⋱⫍1C14⊭↱⪎⋱⫍1C08)=⪎⋱⫍-29A9","reverse_text":"⪎⋱⫍-29A9=(⪎⋱⫍3582↙⪎⋱⫍BC3)⋝⋈⪟(⪎⋱⫍1C14⊭↱⪎⋱⫍1C08)","cot":[{"info":"⪎⋱⫍3582↙⪎⋱⫍BC3=⪎⋱⫍-29A9","layer":1},{"info":"⪎⋱⫍1C14⊭↱⪎⋱⫍1C08=⪎⋱⫍-10","layer":1},{"info":"⪎⋱⫍-29A9⋝⋈⪟⪎⋱⫍-10=⪎⋱⫍-29A9","layer":0}]}
{"id":997,"expression_no_base_symbol":"($4828$⨵⪆$2301$)⨐⩸⫘($4515$-$5487$)","expression":"(⪎⋱⫍2275⨵⪆⪎⋱⫍1080)⨐⩸⫘(⪎⋱⫍2094-⪎⋱⫍2661)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":950618,"operation_count":3,"complexity_ratio":316872.6666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4828,"base":13},"right_expr":{"type":"numeric_atoms","value":2301,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4515,"base":13},"right_expr":{"type":"numeric_atoms","value":5487,"base":13}}},"used_operators":["fu6greOZ01","2DQ55sFlQl","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-597","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4828","layer":2},{"info":"number node, value=2301","layer":2},{"info":"compute binary expreesion, left_input=4828, right_input=2301, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4515","layer":2},{"info":"number node, value=5487","layer":2},{"info":"compute binary expreesion, left_input=4515, right_input=5487, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-972","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-972, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-969","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2275⨵⪆⪎⋱⫍1080)⨐⩸⫘(⪎⋱⫍2094-⪎⋱⫍2661)=⪎⋱⫍-597","reverse_text":"⪎⋱⫍-597=(⪎⋱⫍2275⨵⪆⪎⋱⫍1080)⨐⩸⫘(⪎⋱⫍2094-⪎⋱⫍2661)","cot":[{"info":"⪎⋱⫍2275⨵⪆⪎⋱⫍1080=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍2094-⪎⋱⫍2661=⪎⋱⫍-59A","layer":1},{"info":"⪎⋱⫍C4⨐⩸⫘⪎⋱⫍-59A=⪎⋱⫍-597","layer":0}]}
{"id":998,"expression_no_base_symbol":"($1170$⫥∨⫟$3862$)≹⇙⪍($7428$⨓$1784$)","expression":"(⪎⋱⫍6C0⫥∨⫟⪎⋱⫍19B1)≹⇙⪍(⪎⋱⫍34C5⨓⪎⋱⫍A73)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1945,"operation_count":3,"complexity_ratio":648.3333333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1170,"base":13},"right_expr":{"type":"numeric_atoms","value":3862,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7428,"base":13},"right_expr":{"type":"numeric_atoms","value":1784,"base":13}}},"used_operators":["AHs5Up7iyr","KYD54nUTWz","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1170","layer":2},{"info":"number node, value=3862","layer":2},{"info":"compute binary expreesion, left_input=1170, right_input=3862, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=7428","layer":2},{"info":"number node, value=1784","layer":2},{"info":"compute binary expreesion, left_input=7428, right_input=1784, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1787","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1787, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(⪎⋱⫍6C0⫥∨⫟⪎⋱⫍19B1)≹⇙⪍(⪎⋱⫍34C5⨓⪎⋱⫍A73)=NaN","reverse_text":"NaN=(⪎⋱⫍6C0⫥∨⫟⪎⋱⫍19B1)≹⇙⪍(⪎⋱⫍34C5⨓⪎⋱⫍A73)","cot":[{"info":"⪎⋱⫍6C0⫥∨⫟⪎⋱⫍19B1=NaN","layer":1},{"info":"⪎⋱⫍34C5⨓⪎⋱⫍A73=⪎⋱⫍-A76","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍-A76=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"$2098$⋓$2897$⨁⊸⫻","expression":"⪎⋱⫍C55⋓⪎⋱⫍141B⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2098,"base":13},"right_expr":{"type":"numeric_atoms","value":2897,"base":13}}},"used_operators":["glklzrTFfD","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2098","layer":2},{"info":"number node, value=2897","layer":2},{"info":"compute binary expreesion, left_input=2098, right_input=2897, op_id = T2fj7uvVaJ binary_op_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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍C55⋓⪎⋱⫍141B⨁⊸⫻=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍C55⋓⪎⋱⫍141B⨁⊸⫻","cot":[{"info":"⪎⋱⫍C55⋓⪎⋱⫍141B=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⨁⊸⫻=⪎⋱⫍0","layer":0}]}
{"id":1000,"expression_no_base_symbol":"($2831$⫸⊐$1741$)⪛($1234$⨸⪁$4255$)","expression":"(⪎⋱⫍139A⫸⊐⪎⋱⫍A3C)⪛(⪎⋱⫍73C⨸⪁⪎⋱⫍1C24)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2831,"base":13},"right_expr":{"type":"numeric_atoms","value":1741,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1234,"base":13},"right_expr":{"type":"numeric_atoms","value":4255,"base":13}}},"used_operators":["uFcxV4UQCh","mqXw5SEYmG","g55IO6H4Gj"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"⪎⋱⫍3161","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2831","layer":2},{"info":"number node, value=1741","layer":2},{"info":"compute binary expreesion, left_input=2831, right_input=1741, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6839","layer":1},{"info":"number node, value=1234","layer":2},{"info":"number node, value=4255","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=4255, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10978","layer":1},{"info":"compute binary expreesion, left_input=6839, right_input=10978, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=6839","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍139A⫸⊐⪎⋱⫍A3C)⪛(⪎⋱⫍73C⨸⪁⪎⋱⫍1C24)=⪎⋱⫍3161","reverse_text":"⪎⋱⫍3161=(⪎⋱⫍139A⫸⊐⪎⋱⫍A3C)⪛(⪎⋱⫍73C⨸⪁⪎⋱⫍1C24)","cot":[{"info":"⪎⋱⫍139A⫸⊐⪎⋱⫍A3C=⪎⋱⫍3161","layer":1},{"info":"⪎⋱⫍73C⨸⪁⪎⋱⫍1C24=⪎⋱⫍4CC6","layer":1},{"info":"⪎⋱⫍3161⪛⪎⋱⫍4CC6=⪎⋱⫍3161","layer":0}]}