diff --git "a/expression/combination_500_value1000-10000/base7_depth2.jsonl" "b/expression/combination_500_value1000-10000/base7_depth2.jsonl"
new file mode 100644--- /dev/null
+++ "b/expression/combination_500_value1000-10000/base7_depth2.jsonl"
@@ -0,0 +1,1000 @@
+{"id":1,"expression_no_base_symbol":"($2912$⪛⫼$1627$)⩧⪆$2994$∌↝$6949$","expression":"(≴∭⊉11330⪛⫼≴∭⊉4513)⩧⪆≴∭⊉11505∌↝≴∭⊉26155","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":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2912,"base":7},"right_expr":{"type":"numeric_atoms","value":1627,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2994,"base":7},"right_expr":{"type":"numeric_atoms","value":6949,"base":7}}},"used_operators":["Ikt5ks8PT7","hyuBjUqXlG","9Isq31Ruls"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2912","layer":2},{"info":"number node, value=1627","layer":2},{"info":"compute binary expreesion, left_input=2912, right_input=1627, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=2994","layer":2},{"info":"number node, value=6949","layer":2},{"info":"compute binary expreesion, left_input=2994, right_input=6949, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11330⪛⫼≴∭⊉4513)⩧⪆≴∭⊉11505∌↝≴∭⊉26155=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉11330⪛⫼≴∭⊉4513)⩧⪆≴∭⊉11505∌↝≴∭⊉26155","cot":[{"info":"≴∭⊉11330⪛⫼≴∭⊉4513=≴∭⊉2552","layer":1},{"info":"≴∭⊉11505∌↝≴∭⊉26155=≴∭⊉0","layer":1},{"info":"≴∭⊉2552⩧⪆≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":2,"expression_no_base_symbol":"($6172$⫞⩸⩒$4046$)⋹⋡⊁(⇜$9174$)","expression":"(≴∭⊉23665⫞⩸⩒≴∭⊉14540)⋹⋡⊁(⇜≴∭⊉35514)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":358,"operation_count":3,"complexity_ratio":119.33333333333333,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6172,"base":7},"right_expr":{"type":"numeric_atoms","value":4046,"base":7}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":9174,"base":7}}},"used_operators":["As8RqfVLgs","XGcMNugi78","lFBm8KRb8F"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"≴∭⊉162414","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6172","layer":2},{"info":"number node, value=4046","layer":2},{"info":"compute binary expreesion, left_input=6172, right_input=4046, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4046","layer":1},{"info":"number node, value=9174","layer":2},{"info":"compute unary expreesion, input=9174, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-73800","layer":1},{"info":"compute binary expreesion, left_input=4046, right_input=-73800, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=32106","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23665⫞⩸⩒≴∭⊉14540)⋹⋡⊁(⇜≴∭⊉35514)=≴∭⊉162414","reverse_text":"≴∭⊉162414=(≴∭⊉23665⫞⩸⩒≴∭⊉14540)⋹⋡⊁(⇜≴∭⊉35514)","cot":[{"info":"≴∭⊉23665⫞⩸⩒≴∭⊉14540=≴∭⊉14540","layer":1},{"info":"⇜≴∭⊉35514=≴∭⊉-425106","layer":1},{"info":"≴∭⊉14540⋹⋡⊁≴∭⊉-425106=≴∭⊉162414","layer":0}]}
+{"id":3,"expression_no_base_symbol":"$3442$↢$3037$⨀⨒","expression":"≴∭⊉13015↢≴∭⊉11566⨀⨒","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":2,"complexity_ratio":29.5,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3442,"base":7},"right_expr":{"type":"numeric_atoms","value":3037,"base":7}}},"used_operators":["j6NVkjMzuk","WR6HLWljOP"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉216131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3442","layer":2},{"info":"number node, value=3037","layer":2},{"info":"compute binary expreesion, left_input=3442, right_input=3037, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2958","layer":1},{"info":"compute unary expreesion, input=2958, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=38144","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13015↢≴∭⊉11566⨀⨒=≴∭⊉216131","reverse_text":"≴∭⊉216131=≴∭⊉13015↢≴∭⊉11566⨀⨒","cot":[{"info":"≴∭⊉13015↢≴∭⊉11566=≴∭⊉11424","layer":1},{"info":"≴∭⊉11424⨀⨒=≴∭⊉216131","layer":0}]}
+{"id":4,"expression_no_base_symbol":"($3936$⇮⋭$8860$)⋭≵$1203$⊲⩕⊾$2224$","expression":"(≴∭⊉14322⇮⋭≴∭⊉34555)⋭≵≴∭⊉3336⊲⩕⊾≴∭⊉6325","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":114,"operation_count":3,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3936,"base":7},"right_expr":{"type":"numeric_atoms","value":8860,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1203,"base":7},"right_expr":{"type":"numeric_atoms","value":2224,"base":7}}},"used_operators":["jBncVCNhdl","vkpjKywKVM","DmTXOeWf9t"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3936","layer":2},{"info":"number node, value=8860","layer":2},{"info":"compute binary expreesion, left_input=3936, right_input=8860, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=1203","layer":2},{"info":"number node, value=2224","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=2224, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-38118","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-38118, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14322⇮⋭≴∭⊉34555)⋭≵≴∭⊉3336⊲⩕⊾≴∭⊉6325=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉14322⇮⋭≴∭⊉34555)⋭≵≴∭⊉3336⊲⩕⊾≴∭⊉6325","cot":[{"info":"≴∭⊉14322⇮⋭≴∭⊉34555=≴∭⊉-1244","layer":1},{"info":"≴∭⊉3336⊲⩕⊾≴∭⊉6325=≴∭⊉-216063","layer":1},{"info":"≴∭⊉-1244⋭≵≴∭⊉-216063=≴∭⊉124","layer":0}]}
+{"id":5,"expression_no_base_symbol":"⊖($1488$⨝⩣∺)","expression":"⊖(≴∭⊉4224⨝⩣∺)","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":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1488,"base":7}}},"used_operators":["U6pG0PXrV3","ancx8kZcWl"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","DZ8iAZOCBD","t8gj7n24qd"],"result":"≴∭⊉35013","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":2},{"info":"compute unary expreesion, input=1488, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2976","layer":1},{"info":"compute unary expreesion, input=-2976, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=8928","layer":0}],"base":7,"result_base":7,"text":"⊖(≴∭⊉4224⨝⩣∺)=≴∭⊉35013","reverse_text":"≴∭⊉35013=⊖(≴∭⊉4224⨝⩣∺)","cot":[{"info":"≴∭⊉4224⨝⩣∺=≴∭⊉-11451","layer":1},{"info":"⊖≴∭⊉-11451=≴∭⊉35013","layer":0}]}
+{"id":6,"expression_no_base_symbol":"$1251$⇻⋧≁$2358$⨉","expression":"≴∭⊉3435���⋧≁≴∭⊉6606⨉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1734,"operation_count":2,"complexity_ratio":867.0,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1251,"base":7},"right_expr":{"type":"numeric_atoms","value":2358,"base":7}}},"used_operators":["aMUSaJuDRU","jCPkEVoL5K"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉12252","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":2},{"info":"number node, value=2358","layer":2},{"info":"compute binary expreesion, left_input=1251, right_input=2358, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=3222","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3435⇻⋧≁≴∭⊉6606⨉=≴∭⊉12252","reverse_text":"≴∭⊉12252=≴∭⊉3435⇻⋧≁≴∭⊉6606⨉","cot":[{"info":"≴∭⊉3435⇻⋧≁≴∭⊉6606=≴∭⊉-1206","layer":1},{"info":"≴∭⊉-1206⨉=≴∭⊉12252","layer":0}]}
+{"id":7,"expression_no_base_symbol":"$7311$⩁⩘$1671$⪨⊡($1110$⪒$4861$)","expression":"≴∭⊉30213⩁⩘≴∭⊉4605⪨⊡(≴∭⊉3144⪒≴∭⊉20113)","highest_n_order":2,"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":7311,"base":7},"right_expr":{"type":"numeric_atoms","value":1671,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1110,"base":7},"right_expr":{"type":"numeric_atoms","value":4861,"base":7}}},"used_operators":["kuIXHzHcAH","gub5Cegaqo","f6k1SAg4EE"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉131635","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7311","layer":2},{"info":"number node, value=1671","layer":2},{"info":"compute binary expreesion, left_input=7311, right_input=1671, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7632","layer":1},{"info":"number node, value=1110","layer":2},{"info":"number node, value=4861","layer":2},{"info":"compute binary expreesion, left_input=1110, right_input=4861, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5971","layer":1},{"info":"compute binary expreesion, left_input=7632, right_input=-5971, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=24673","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉30213⩁⩘≴∭⊉4605⪨⊡(≴∭⊉3144⪒≴∭⊉20113)=≴∭⊉131635","reverse_text":"≴∭⊉131635=≴∭⊉30213⩁⩘≴∭⊉4605⪨⊡(≴∭⊉3144⪒≴∭⊉20113)","cot":[{"info":"≴∭⊉30213⩁⩘≴∭⊉4605=≴∭⊉31152","layer":1},{"info":"≴∭⊉3144⪒≴∭⊉20113=≴∭⊉-23260","layer":1},{"info":"≴∭⊉31152⪨⊡≴∭⊉-23260=≴∭⊉131635","layer":0}]}
+{"id":8,"expression_no_base_symbol":"(⊑$5098$)⪡($1306$⪹)","expression":"(⊑≴∭⊉20602)⪡(≴∭⊉3544⪹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":438,"operation_count":3,"complexity_ratio":146.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5098,"base":7}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1306,"base":7}}},"used_operators":["oraRL2iQuh","IkUmn0D7oy","B3sABdIn96"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"≴∭⊉212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5098","layer":2},{"info":"compute unary expreesion, input=5098, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1306","layer":2},{"info":"compute unary expreesion, input=1306, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7104","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=7104, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":7,"result_base":7,"text":"(⊑≴∭⊉20602)⪡(≴∭⊉3544⪹)=≴∭⊉212","reverse_text":"≴∭⊉212=(⊑≴∭⊉20602)⪡(≴∭⊉3544⪹)","cot":[{"info":"⊑≴∭⊉20602=≴∭⊉363","layer":1},{"info":"≴∭⊉3544⪹=≴∭⊉26466","layer":1},{"info":"≴∭⊉363⪡≴∭⊉26466=≴∭⊉212","layer":0}]}
+{"id":9,"expression_no_base_symbol":"($3504$↱$4135$)⪄($4074$⇪⋭)","expression":"(≴∭⊉13134↱≴∭⊉15025)⪄(≴∭⊉14610⇪⋭)","highest_n_order":5,"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":3504,"base":7},"right_expr":{"type":"numeric_atoms","value":4135,"base":7}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":4074,"base":7}}},"used_operators":["SUmda5xLS4","SR5kFfdi6N","Z8Yg6dlDSp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":2},{"info":"number node, value=4135","layer":2},{"info":"compute binary expreesion, left_input=3504, right_input=4135, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11883","layer":1},{"info":"number node, value=4074","layer":2},{"info":"compute unary expreesion, input=4074, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11883, 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":7,"result_base":7,"text":"(≴∭⊉13134↱≴∭⊉15025)⪄(≴∭⊉14610⇪⋭)=≴∭⊉14413","reverse_text":"≴∭⊉14413=(≴∭⊉13134↱≴∭⊉15025)⪄(≴∭⊉14610⇪⋭)","cot":[{"info":"≴∭⊉13134↱≴∭⊉15025=≴∭⊉-46434","layer":1},{"info":"≴∭⊉14610⇪⋭=NaN","layer":1},{"info":"≴∭⊉-46434⪄NaN=≴∭⊉14413","layer":0}]}
+{"id":10,"expression_no_base_symbol":"$2668$≁↽≥$1670$-$3763$⋅⇍$2136$","expression":"≴∭⊉10531≁↽≥≴∭⊉4604-≴∭⊉13654⋅⇍≴∭⊉6141","highest_n_order":3,"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":2668,"base":7},"right_expr":{"type":"numeric_atoms","value":1670,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3763,"base":7},"right_expr":{"type":"numeric_atoms","value":2136,"base":7}}},"used_operators":["rysDP5nf3Z","ncHt1X6cMc","AdZkA7nFnk"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉231101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2668","layer":2},{"info":"number node, value=1670","layer":2},{"info":"compute binary expreesion, left_input=2668, right_input=1670, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=41188","layer":1},{"info":"number node, value=3763","layer":2},{"info":"number node, value=2136","layer":2},{"info":"compute binary expreesion, left_input=3763, right_input=2136, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=41188, right_input=-22, op_id = rysDP5nf3Z binary_op_definition= 'None', output=41210","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10531≁↽≥≴∭⊉4604-≴∭⊉13654⋅⇍≴∭⊉6141=≴∭⊉231101","reverse_text":"≴∭⊉231101=≴∭⊉10531≁↽≥≴∭⊉4604-≴∭⊉13654⋅⇍≴∭⊉6141","cot":[{"info":"≴∭⊉10531≁↽≥≴∭⊉4604=≴∭⊉231040","layer":1},{"info":"≴∭⊉13654⋅⇍≴∭⊉6141=≴∭⊉-31","layer":1},{"info":"≴∭⊉231040-≴∭⊉-31=≴∭⊉231101","layer":0}]}
+{"id":11,"expression_no_base_symbol":"($1335$⩠)≎⊠⪸($6812$∪⫐$1231$)","expression":"(≴∭⊉3615⩠)≎⊠⪸(≴∭⊉25601∪⫐≴∭⊉3406)","highest_n_order":2,"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":1335,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6812,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}}},"used_operators":["bJkvcejdHO","sJAwomhLZr","7YooWSwCyH"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0"],"result":"≴∭⊉-1244","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1335","layer":2},{"info":"compute unary expreesion, input=1335, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=6812","layer":2},{"info":"number node, value=1231","layer":2},{"info":"compute binary expreesion, left_input=6812, right_input=1231, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6812","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6812, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3615⩠)≎⊠⪸(≴∭⊉25601∪⫐≴∭⊉3406)=≴∭⊉-1244","reverse_text":"≴∭⊉-1244=(≴∭⊉3615⩠)≎⊠⪸(≴∭⊉25601∪⫐≴∭⊉3406)","cot":[{"info":"≴∭⊉3615⩠=≴∭⊉0","layer":1},{"info":"≴∭⊉25601∪⫐≴∭⊉3406=≴∭⊉25601","layer":1},{"info":"≴∭⊉0≎⊠⪸≴∭⊉25601=≴∭⊉-1244","layer":0}]}
+{"id":12,"expression_no_base_symbol":"($1578$+$1530$)⪝($1270$⫲≸⪮$1420$)","expression":"(≴∭⊉4413+≴∭⊉4314)⪝(≴∭⊉3463⫲≸⪮≴∭⊉4066)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1692,"operation_count":3,"complexity_ratio":564.0,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1578,"base":7},"right_expr":{"type":"numeric_atoms","value":1530,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1270,"base":7},"right_expr":{"type":"numeric_atoms","value":1420,"base":7}}},"used_operators":["wicAB68Tmb","W4YGzv6Whe","P3lXMJvFrc"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≴∭⊉-31412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":2},{"info":"number node, value=1530","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=1530, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3108","layer":1},{"info":"number node, value=1270","layer":2},{"info":"number node, value=1420","layer":2},{"info":"compute binary expreesion, left_input=1270, right_input=1420, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1270","layer":1},{"info":"compute binary expreesion, left_input=3108, right_input=1270, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-7751","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4413+≴∭⊉4314)⪝(≴∭⊉3463⫲≸⪮≴∭⊉4066)=≴∭⊉-31412","reverse_text":"≴∭⊉-31412=(≴∭⊉4413+≴∭⊉4314)⪝(≴∭⊉3463⫲≸⪮≴∭⊉4066)","cot":[{"info":"≴∭⊉4413+≴∭⊉4314=≴∭⊉12030","layer":1},{"info":"≴∭⊉3463⫲≸⪮≴∭⊉4066=≴∭⊉3463","layer":1},{"info":"≴∭⊉12030⪝≴∭⊉3463=≴∭⊉-31412","layer":0}]}
+{"id":13,"expression_no_base_symbol":"$1364$⪨⊡$6087$⪹","expression":"≴∭⊉3656⪨⊡≴∭⊉23514⪹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1364,"base":7},"right_expr":{"type":"numeric_atoms","value":6087,"base":7}}},"used_operators":["B3sABdIn96","kuIXHzHcAH"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉16045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"number node, value=6087","layer":2},{"info":"compute binary expreesion, left_input=1364, right_input=6087, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4492","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3656⪨⊡≴∭⊉23514⪹=≴∭⊉16045","reverse_text":"≴∭⊉16045=≴∭⊉3656⪨⊡≴∭⊉23514���","cot":[{"info":"≴∭⊉3656⪨⊡≴∭⊉23514=≴∭⊉0","layer":1},{"info":"≴∭⊉0⪹=≴∭⊉16045","layer":0}]}
+{"id":14,"expression_no_base_symbol":"($7865$⪘⫢$2320$)∋($2094$⋅⇍$7060$)","expression":"(≴∭⊉31634⪘⫢≴∭⊉6523)∋(≴∭⊉6051⋅⇍≴∭⊉26404)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":77,"operation_count":3,"complexity_ratio":25.666666666666668,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7865,"base":7},"right_expr":{"type":"numeric_atoms","value":2320,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2094,"base":7},"right_expr":{"type":"numeric_atoms","value":7060,"base":7}}},"used_operators":["ukq6epAj5P","oacrs7FA3X","AdZkA7nFnk"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉-665151","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7865","layer":2},{"info":"number node, value=2320","layer":2},{"info":"compute binary expreesion, left_input=7865, right_input=2320, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15606","layer":1},{"info":"number node, value=2094","layer":2},{"info":"number node, value=7060","layer":2},{"info":"compute binary expreesion, left_input=2094, right_input=7060, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=15606, right_input=-22, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-117048","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31634⪘⫢≴∭⊉6523)∋(≴∭⊉6051⋅⇍≴∭⊉26404)=≴∭⊉-665151","reverse_text":"≴∭⊉-665151=(≴∭⊉31634⪘⫢≴∭⊉6523)∋(≴∭⊉6051⋅⇍≴∭⊉26404)","cot":[{"info":"≴∭⊉31634⪘⫢≴∭⊉6523=≴∭⊉63333","layer":1},{"info":"≴∭⊉6051⋅⇍≴∭⊉26404=≴∭⊉-31","layer":1},{"info":"≴∭⊉63333∋≴∭⊉-31=≴∭⊉-665151","layer":0}]}
+{"id":15,"expression_no_base_symbol":"($1370$∇⊂⋱$1827$)⇪⋭","expression":"(≴∭⊉3665∇⊂⋱≴∭⊉5220)⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1370,"base":7},"right_expr":{"type":"numeric_atoms","value":1827,"base":7}}},"used_operators":["Z8Yg6dlDSp","nhYeJWJD5X"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1370","layer":2},{"info":"number node, value=1827","layer":2},{"info":"compute binary expreesion, left_input=1370, right_input=1827, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2194","layer":1},{"info":"compute unary expreesion, input=2194, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3665∇⊂⋱≴∭⊉5220)⇪⋭=NaN","reverse_text":"NaN=(≴∭⊉3665∇⊂⋱≴∭⊉5220)⇪⋭","cot":[{"info":"≴∭⊉3665∇⊂⋱≴∭⊉5220=≴∭⊉6253","layer":1},{"info":"≴∭⊉6253⇪⋭=NaN","layer":0}]}
+{"id":16,"expression_no_base_symbol":"($5901$⇗⋫)⫏⊷","expression":"(≴∭⊉23130⇗⋫)⫏⊷","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":122,"operation_count":2,"complexity_ratio":61.0,"tree":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":5901,"base":7}}},"used_operators":["dcShxvzhyw","hpqmaQFPrd"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","rxpJgHHUmx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5901","layer":2},{"info":"compute unary expreesion, input=5901, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23130⇗⋫)⫏⊷=NaN","reverse_text":"NaN=(≴∭⊉23130⇗⋫)⫏⊷","cot":[{"info":"≴∭⊉23130⇗⋫=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]}
+{"id":17,"expression_no_base_symbol":"$8987$∑⇟⊟$1765$⫔⩽⩺($3591$⨑≵⋬$1103$)","expression":"≴∭⊉35126∑⇟⊟≴∭⊉5101⫔⩽⩺(≴∭⊉13320⨑≵⋬≴∭⊉3134)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8987,"base":7},"right_expr":{"type":"numeric_atoms","value":1765,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3591,"base":7},"right_expr":{"type":"numeric_atoms","value":1103,"base":7}}},"used_operators":["i9eR4S00cU","U7g4x0WXJJ","XnXgA4xnOs"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8987","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=8987, right_input=1765, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3591","layer":2},{"info":"number node, value=1103","layer":2},{"info":"compute binary expreesion, left_input=3591, right_input=1103, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=11613","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11613, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉35126∑⇟⊟≴∭⊉5101⫔⩽⩺(≴∭⊉13320⨑≵⋬≴∭⊉3134)=NaN","reverse_text":"NaN=≴∭⊉35126∑⇟⊟≴∭⊉5101⫔⩽⩺(≴∭⊉13320⨑≵⋬≴∭⊉3134)","cot":[{"info":"≴∭⊉35126∑⇟⊟≴∭⊉5101=NaN","layer":1},{"info":"≴∭⊉13320⨑≵⋬≴∭⊉3134=≴∭⊉45600","layer":1},{"info":"NaN⫔⩽⩺≴∭⊉45600=NaN","layer":0}]}
+{"id":18,"expression_no_base_symbol":"$3013$≦↸$2548$⊿∆","expression":"≴∭⊉11533≦↸≴∭⊉10300⊿∆","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3013,"base":7},"right_expr":{"type":"numeric_atoms","value":2548,"base":7}}},"used_operators":["fv3ZujxkQL","RygbFNSyEJ"],"dependent_operators":["NTOWxs364D","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉114346","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3013","layer":2},{"info":"number node, value=2548","layer":2},{"info":"compute binary expreesion, left_input=3013, right_input=2548, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10441","layer":1},{"info":"compute unary expreesion, input=-10441, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=20761","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11533≦↸≴∭⊉10300⊿∆=≴∭⊉114346","reverse_text":"≴∭⊉114346=≴∭⊉11533≦↸≴∭⊉10300⊿∆","cot":[{"info":"≴∭⊉11533≦↸≴∭⊉10300=≴∭⊉-42304","layer":1},{"info":"≴∭⊉-42304⊿∆=≴∭⊉114346","layer":0}]}
+{"id":19,"expression_no_base_symbol":"(⇉-⫰$2493$)⪥($2253$⋾⨃∁$1260$)","expression":"(⇉-⫰≴∭⊉10161)⪥(≴∭⊉6366⋾⨃∁≴∭⊉3450)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1320,"operation_count":3,"complexity_ratio":440.0,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2493,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2253,"base":7},"right_expr":{"type":"numeric_atoms","value":1260,"base":7}}},"used_operators":["QbnwKVWMIQ","IGFM8TAlm9","212REbPD9h"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eH2TOUuTDT","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉16540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2493","layer":2},{"info":"compute unary expreesion, input=2493, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=2253","layer":2},{"info":"number node, value=1260","layer":2},{"info":"compute binary expreesion, left_input=2253, right_input=1260, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15860786","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=15860786, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4732","layer":0}],"base":7,"result_base":7,"text":"(⇉-⫰≴∭⊉10161)⪥(≴∭⊉6366⋾⨃∁≴∭⊉3450)=≴∭⊉16540","reverse_text":"≴∭⊉16540=(⇉-⫰≴∭⊉10161)⪥(≴∭⊉6366⋾⨃∁≴∭⊉3450)","cot":[{"info":"⇉-⫰≴∭⊉10161=≴∭⊉26","layer":1},{"info":"≴∭⊉6366⋾⨃∁≴∭⊉3450=≴∭⊉251546234","layer":1},{"info":"≴∭⊉26⪥≴∭⊉251546234=≴∭⊉16540","layer":0}]}
+{"id":20,"expression_no_base_symbol":"$6306$⇤$1202$⇴$4296$⫉⨲⊜$5017$","expression":"≴∭⊉24246⇤≴∭⊉3335⇴≴∭⊉15345⫉⨲⊜≴∭⊉20425","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6306,"base":7},"right_expr":{"type":"numeric_atoms","value":1202,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4296,"base":7},"right_expr":{"type":"numeric_atoms","value":5017,"base":7}}},"used_operators":["4JB6nKBMSY","YSKBFp38Pu","WhqkvtTD3t"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉-1525661","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6306","layer":2},{"info":"number node, value=1202","layer":2},{"info":"compute binary expreesion, left_input=6306, right_input=1202, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34692","layer":1},{"info":"number node, value=4296","layer":2},{"info":"number node, value=5017","layer":2},{"info":"compute binary expreesion, left_input=4296, right_input=5017, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-34692, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-208538","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24246⇤≴∭⊉3335⇴≴∭⊉15345⫉⨲⊜≴∭⊉20425=≴∭⊉-1525661","reverse_text":"≴∭⊉-1525661=≴∭⊉24246⇤≴∭⊉3335⇴≴∭⊉15345⫉⨲⊜≴∭⊉20425","cot":[{"info":"≴∭⊉24246⇤≴∭⊉3335=≴∭⊉-203100","layer":1},{"info":"≴∭⊉15345⫉⨲⊜≴∭⊉20425=≴∭⊉0","layer":1},{"info":"≴∭⊉-203100⇴≴∭⊉0=≴∭⊉-1525661","layer":0}]}
+{"id":21,"expression_no_base_symbol":"(↓⇌$3501$)⇌⫙⪟($1159$⇴$3053$)","expression":"(↓⇌≴∭⊉13131)⇌⫙⪟(≴∭⊉3244⇴≴∭⊉11621)","highest_n_order":1,"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":3501,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1159,"base":7},"right_expr":{"type":"numeric_atoms","value":3053,"base":7}}},"used_operators":["AFVx7xoS7T","PxpmPgHHJV","4JB6nKBMSY"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3501","layer":2},{"info":"compute unary expreesion, input=3501, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3501","layer":1},{"info":"number node, value=1159","layer":2},{"info":"number node, value=3053","layer":2},{"info":"compute binary expreesion, left_input=1159, right_input=3053, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=12674","layer":1},{"info":"compute binary expreesion, left_input=3501, right_input=12674, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":7,"result_base":7,"text":"(↓⇌≴∭⊉13131)⇌⫙⪟(≴∭⊉3244⇴≴∭⊉11621)=≴∭⊉221","reverse_text":"≴∭⊉221=(↓⇌≴∭⊉13131)⇌⫙⪟(≴∭⊉3244⇴≴∭⊉11621)","cot":[{"info":"↓⇌≴∭⊉13131=≴∭⊉13131","layer":1},{"info":"≴∭⊉3244⇴≴∭⊉11621=≴∭⊉51644","layer":1},{"info":"≴∭⊉13131⇌⫙⪟≴∭⊉51644=≴∭⊉221","layer":0}]}
+{"id":22,"expression_no_base_symbol":"∤↝($5500$≒∊$1008$)","expression":"∤↝(≴∭⊉22015≒∊≴∭⊉2640)","highest_n_order":3,"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":5500,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}}},"used_operators":["3UMq87Qwqg","5KTvxBwnZo"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉-20424","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5500","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=5500, right_input=1008, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5016","layer":1},{"info":"compute unary expreesion, input=-5016, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-5016","layer":0}],"base":7,"result_base":7,"text":"∤↝(≴∭⊉22015≒∊≴∭⊉2640)=≴∭⊉-20424","reverse_text":"≴∭⊉-20424=∤↝(≴∭⊉22015≒∊≴∭⊉2640)","cot":[{"info":"≴∭⊉22015≒∊≴∭⊉2640=≴∭⊉-20424","layer":1},{"info":"∤↝≴∭⊉-20424=≴∭⊉-20424","layer":0}]}
+{"id":23,"expression_no_base_symbol":"$5046$⨒$7252$+$1788$⪄$5462$","expression":"≴∭⊉20466⨒≴∭⊉30100+≴∭⊉5133⪄≴∭⊉21632","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":116,"operation_count":3,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5046,"base":7},"right_expr":{"type":"numeric_atoms","value":7252,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1788,"base":7},"right_expr":{"type":"numeric_atoms","value":5462,"base":7}}},"used_operators":["W4YGzv6Whe","y75s1iXyHd","SUmda5xLS4"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-2440656","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5046","layer":2},{"info":"number node, value=7252","layer":2},{"info":"compute binary expreesion, left_input=5046, right_input=7252, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-29904","layer":1},{"info":"number node, value=1788","layer":2},{"info":"number node, value=5462","layer":2},{"info":"compute binary expreesion, left_input=1788, right_input=5462, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-282561","layer":1},{"info":"compute binary expreesion, left_input=-29904, right_input=-282561, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-312465","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20466⨒≴∭⊉30100+≴∭⊉5133⪄≴∭⊉21632=≴∭⊉-2440656","reverse_text":"≴∭⊉-2440656=≴∭⊉20466⨒≴∭⊉30100+≴∭⊉5133⪄≴∭⊉21632","cot":[{"info":"≴∭⊉20466⨒≴∭⊉30100=≴∭⊉-153120","layer":1},{"info":"≴∭⊉5133⪄≴∭⊉21632=≴∭⊉-2254536","layer":1},{"info":"≴∭⊉-153120+≴∭⊉-2254536=≴∭⊉-2440656","layer":0}]}
+{"id":24,"expression_no_base_symbol":"($1000$⨔≚≋$4905$)⇩","expression":"(≴∭⊉2626⨔≚≋≴∭⊉20205)⇩","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1000,"base":7},"right_expr":{"type":"numeric_atoms","value":4905,"base":7}}},"used_operators":["vRio1gEz1j","Z57zeUYC9z"],"dependent_operators":["W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉41024","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=4905","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=4905, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute unary expreesion, input=9872, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=9965","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2626⨔≚≋≴∭⊉20205)⇩=≴∭⊉41024","reverse_text":"≴∭⊉41024=(≴∭⊉2626⨔≚≋≴∭⊉20205)⇩","cot":[{"info":"≴∭⊉2626⨔≚���≴∭⊉20205=≴∭⊉40532","layer":1},{"info":"≴∭⊉40532⇩=≴∭⊉41024","layer":0}]}
+{"id":25,"expression_no_base_symbol":"⩷⨜⫀($8807$∥⊢⊲$1655$)","expression":"⩷⨜⫀(≴∭⊉34451∥⊢⊲≴∭⊉4553)","highest_n_order":4,"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":8807,"base":7},"right_expr":{"type":"numeric_atoms","value":1655,"base":7}}},"used_operators":["CDi0ktkjQ4","v1UQAVDJRr"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","EBcxylXtPf","rGHVDoGpnC"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8807","layer":2},{"info":"number node, value=1655","layer":2},{"info":"compute binary expreesion, left_input=8807, right_input=1655, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"⩷⨜⫀(≴∭⊉34451∥⊢⊲≴∭⊉4553)=≴∭⊉-251","reverse_text":"≴∭⊉-251=⩷⨜⫀(≴∭⊉34451∥⊢⊲≴∭⊉4553)","cot":[{"info":"≴∭⊉34451∥⊢⊲≴∭⊉4553=NaN","layer":1},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":0}]}
+{"id":26,"expression_no_base_symbol":"(⊊≼∋$6875$)⫘$4719$≁$7949$","expression":"(⊊≼∋≴∭⊉26021)⫘≴∭⊉16521≁≴∭⊉32114","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7635,"operation_count":3,"complexity_ratio":2545.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":6875,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4719,"base":7},"right_expr":{"type":"numeric_atoms","value":7949,"base":7}}},"used_operators":["48vC8HMD2b","FWz7pXsQhA","8N2wDY1A35"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","B5M0gjZbta","jCPkEVoL5K","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"≴∭⊉4335262","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6875","layer":2},{"info":"compute unary expreesion, input=6875, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=4719","layer":2},{"info":"number node, value=7949","layer":2},{"info":"compute binary expreesion, left_input=4719, right_input=7949, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=177575","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=177575, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=530077","layer":0}],"base":7,"result_base":7,"text":"(⊊≼∋≴∭⊉26021)⫘≴∭⊉16521≁≴∭⊉32114=≴∭⊉4335262","reverse_text":"≴∭⊉4335262=(⊊≼∋≴∭⊉26021)⫘≴∭⊉16521≁≴∭⊉32114","cot":[{"info":"⊊≼∋≴∭⊉26021=≴∭⊉-1206","layer":1},{"info":"≴∭⊉16521≁≴∭⊉32114=≴∭⊉1336466","layer":1},{"info":"≴∭⊉-1206⫘≴∭⊉1336466=≴∭⊉4335262","layer":0}]}
+{"id":27,"expression_no_base_symbol":"($1484$∪⫐$1783$)⪒⊣⊆(⪨⨬$3613$)","expression":"(≴∭⊉4220∪⫐≴∭⊉5125)⪒⊣⊆(⪨⨬≴∭⊉13351)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1484,"base":7},"right_expr":{"type":"numeric_atoms","value":1783,"base":7}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3613,"base":7}}},"used_operators":["eRqsBgTDFp","7YooWSwCyH","5obUd6DV38"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","rJVOvQCfKK","2DDjHMKMc0","T2fj7uvVaJ","nlCqmYiOvY"],"result":"≴∭⊉11440","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1484","layer":2},{"info":"number node, value=1783","layer":2},{"info":"compute binary expreesion, left_input=1484, right_input=1783, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1484","layer":1},{"info":"number node, value=3613","layer":2},{"info":"compute unary expreesion, input=3613, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=1484, right_input=-526, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2968","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4220∪⫐≴∭⊉5125)⪒⊣⊆(⪨⨬≴∭⊉13351)=≴∭⊉11440","reverse_text":"≴∭⊉11440=(≴∭⊉4220∪⫐≴∭⊉5125)⪒⊣⊆(⪨⨬≴∭⊉13351)","cot":[{"info":"≴∭⊉4220∪⫐≴∭⊉5125=≴∭⊉4220","layer":1},{"info":"⪨⨬≴∭⊉13351=≴∭⊉-1351","layer":1},{"info":"≴∭⊉4220⪒⊣⊆≴∭⊉-1351=≴∭⊉11440","layer":0}]}
+{"id":28,"expression_no_base_symbol":"($1180$⋥≓≎$2212$)⩁⩘($3340$→⨶⪴$2437$)","expression":"(≴∭⊉3304⋥≓≎≴∭⊉6310)⩁⩘(≴∭⊉12511→⨶⪴≴∭⊉10051)","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":1180,"base":7},"right_expr":{"type":"numeric_atoms","value":2212,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3340,"base":7},"right_expr":{"type":"numeric_atoms","value":2437,"base":7}}},"used_operators":["gub5Cegaqo","Qy55tPpLXF","bF6eod5Gvf"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw"],"result":"≴∭⊉-145332","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":2},{"info":"number node, value=2212","layer":2},{"info":"compute binary expreesion, left_input=1180, right_input=2212, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3277","layer":1},{"info":"number node, value=3340","layer":2},{"info":"number node, value=2437","layer":2},{"info":"compute binary expreesion, left_input=3340, right_input=2437, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7311","layer":1},{"info":"compute binary expreesion, left_input=3277, right_input=-7311, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-28296","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3304⋥≓≎≴∭⊉6310)⩁⩘(≴∭⊉12511→⨶⪴≴∭⊉10051)=≴∭⊉-145332","reverse_text":"≴∭⊉-145332=(≴∭⊉3304⋥≓≎≴∭⊉6310)⩁⩘(≴∭⊉12511→⨶⪴≴∭⊉10051)","cot":[{"info":"≴∭⊉3304⋥≓≎≴∭⊉6310=≴∭⊉12361","layer":1},{"info":"≴∭⊉12511→⨶⪴≴∭⊉10051=≴∭⊉-30213","layer":1},{"info":"≴∭⊉12361⩁⩘≴∭⊉-30213=≴∭⊉-145332","layer":0}]}
+{"id":29,"expression_no_base_symbol":"($2705$⫸⊐$1028$)⫸⇳($4084$∖$2755$)","expression":"(≴∭⊉10613⫸⊐≴∭⊉2666)⫸⇳(≴∭⊉14623∖≴∭⊉11014)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":436,"operation_count":3,"complexity_ratio":145.33333333333334,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2705,"base":7},"right_expr":{"type":"numeric_atoms","value":1028,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4084,"base":7},"right_expr":{"type":"numeric_atoms","value":2755,"base":7}}},"used_operators":["gx7XJ7hdpj","mqXw5SEYmG","tXD093vOjl"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2705","layer":2},{"info":"number node, value=1028","layer":2},{"info":"compute binary expreesion, left_input=2705, right_input=1028, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3987","layer":1},{"info":"number node, value=4084","layer":2},{"info":"number node, value=2755","layer":2},{"info":"compute binary expreesion, left_input=4084, right_input=2755, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3987, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10613⫸⊐≴∭⊉2666)⫸⇳(≴∭⊉14623∖≴∭⊉11014)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉10613⫸⊐≴∭⊉2666)⫸⇳(≴∭⊉14623∖≴∭⊉11014)","cot":[{"info":"≴∭⊉10613⫸⊐≴∭⊉2666=≴∭⊉14424","layer":1},{"info":"≴∭⊉14623∖≴∭⊉11014=≴∭⊉0","layer":1},{"info":"≴∭⊉14424⫸⇳≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":30,"expression_no_base_symbol":"($5795$⇄$2516$)⇻⋧≁(≅≯⇸$1519$)","expression":"(≴∭⊉22616⇄≴∭⊉10223)⇻⋧≁(≅≯⇸≴∭⊉4300)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5795,"base":7},"right_expr":{"type":"numeric_atoms","value":2516,"base":7}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1519,"base":7}}},"used_operators":["jCPkEVoL5K","3EYGwJThht","apS25hmuAe"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5795","layer":2},{"info":"number node, value=2516","layer":2},{"info":"compute binary expreesion, left_input=5795, right_input=2516, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1519","layer":2},{"info":"compute unary expreesion, input=1519, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13753","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=13753, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22616⇄≴∭⊉10223)⇻⋧≁(≅≯⇸≴∭⊉4300)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=(≴∭⊉22616⇄≴∭⊉10223)⇻⋧≁(≅≯⇸≴∭⊉4300)","cot":[{"info":"≴∭⊉22616⇄≴∭⊉10223=≴∭⊉0","layer":1},{"info":"≅≯⇸≴∭⊉4300=≴∭⊉55045","layer":1},{"info":"≴∭⊉0⇻⋧≁≴∭⊉55045=≴∭⊉-1206","layer":0}]}
+{"id":31,"expression_no_base_symbol":"(↩⪖$6461$)⇋≉","expression":"(↩⪖≴∭⊉24560)⇋≉","highest_n_order":1,"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":6461,"base":7}}},"used_operators":["XIabStNQrY","fG6uBQFnGz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-465500","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6461","layer":2},{"info":"compute unary expreesion, input=6461, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-41748","layer":1},{"info":"compute unary expreesion, input=-41748, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-83594","layer":0}],"base":7,"result_base":7,"text":"(↩⪖≴∭⊉24560)⇋≉=≴∭⊉-465500","reverse_text":"≴∭⊉-465500=(↩⪖≴∭⊉24560)⇋≉","cot":[{"info":"↩⪖≴∭⊉24560=≴∭⊉-232500","layer":1},{"info":"≴∭⊉-232500⇋≉=≴∭⊉-465500","layer":0}]}
+{"id":32,"expression_no_base_symbol":"($4957$↪⪝)⩖⊿($5782$⫃⨇$3918$)","expression":"(≴∭⊉20311↪⪝)⩖⊿(≴∭⊉22600⫃⨇≴∭⊉14265)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":741,"operation_count":3,"complexity_ratio":247.0,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4957,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5782,"base":7},"right_expr":{"type":"numeric_atoms","value":3918,"base":7}}},"used_operators":["RZ5CV9rWsJ","l07mrZUIn9","09Ly4LVMIf"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉-42031250612","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4957","layer":2},{"info":"compute unary expreesion, input=4957, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=303279174","layer":1},{"info":"number node, value=5782","layer":2},{"info":"number node, value=3918","layer":2},{"info":"compute binary expreesion, left_input=5782, right_input=3918, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15704","layer":1},{"info":"compute binary expreesion, left_input=303279174, right_input=-15704, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1213242410","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20311↪⪝)⩖⊿(≴∭⊉22600⫃⨇≴∭⊉14265)=≴∭⊉-42031250612","reverse_text":"≴∭⊉-42031250612=(≴∭⊉20311↪⪝)⩖⊿(≴∭⊉22600⫃⨇≴∭⊉14265)","cot":[{"info":"≴∭⊉20311↪⪝=≴∭⊉10341554562","layer":1},{"info":"≴∭⊉22600⫃⨇≴∭⊉14265=≴∭⊉-63533","layer":1},{"info":"≴∭⊉10341554562⩖⊿≴∭⊉-63533=≴∭⊉-42031250612","layer":0}]}
+{"id":33,"expression_no_base_symbol":"$3854$⫁$1397$⪨⊡($1923$⪁$4986$)","expression":"≴∭⊉14144⫁≴∭⊉4034⪨⊡(≴∭⊉5415⪁≴∭⊉20352)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323042569,"operation_count":3,"complexity_ratio":107680856.33333333,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3854,"base":7},"right_expr":{"type":"numeric_atoms","value":1397,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1923,"base":7},"right_expr":{"type":"numeric_atoms","value":4986,"base":7}}},"used_operators":["kuIXHzHcAH","0ajvFaJAv0","I7sXao9hZE"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3854","layer":2},{"info":"number node, value=1397","layer":2},{"info":"compute binary expreesion, left_input=3854, right_input=1397, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=1923","layer":2},{"info":"number node, value=4986","layer":2},{"info":"compute binary expreesion, left_input=1923, right_input=4986, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14144⫁≴∭⊉4034⪨⊡(≴∭⊉5415⪁≴∭⊉20352)=NaN","reverse_text":"NaN=≴∭⊉14144⫁≴∭⊉4034⪨⊡(≴∭⊉5415⪁≴∭⊉20352)","cot":[{"info":"≴∭⊉14144⫁≴∭⊉4034=≴∭⊉316","layer":1},{"info":"≴∭⊉5415⪁≴∭⊉20352=NaN","layer":1},{"info":"≴∭⊉316⪨⊡NaN=NaN","layer":0}]}
+{"id":34,"expression_no_base_symbol":"($1622$⩍⋽⫝̸$1038$)⪎↠($2861$⩷∴$5039$)","expression":"(≴∭⊉4505⩍⋽⫝̸≴∭⊉3012)⪎↠(≴∭⊉11225⩷∴≴∭⊉20456)","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":1622,"base":7},"right_expr":{"type":"numeric_atoms","value":1038,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2861,"base":7},"right_expr":{"type":"numeric_atoms","value":5039,"base":7}}},"used_operators":["3tVxb0NHM4","BiWNJpBvwn","9FxExcQeMw"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z"],"result":"≴∭⊉2541","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1622","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=1622, right_input=1038, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=92","layer":1},{"info":"number node, value=2861","layer":2},{"info":"number node, value=5039","layer":2},{"info":"compute binary expreesion, left_input=2861, right_input=5039, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4388","layer":1},{"info":"compute binary expreesion, left_input=92, right_input=-4388, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=960","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4505⩍⋽⫝̸≴∭⊉3012)⪎↠(≴∭⊉11225⩷∴≴∭⊉20456)=≴∭⊉2541","reverse_text":"≴∭⊉2541=(≴∭⊉4505⩍⋽⫝̸≴∭⊉3012)⪎↠(≴∭⊉11225⩷∴≴∭⊉20456)","cot":[{"info":"≴∭⊉4505⩍⋽⫝̸≴∭⊉3012=≴∭⊉161","layer":1},{"info":"≴∭⊉11225⩷∴≴∭⊉20456=≴∭⊉-15536","layer":1},{"info":"≴∭⊉161⪎↠≴∭⊉-15536=≴∭⊉2541","layer":0}]}
+{"id":35,"expression_no_base_symbol":"$3557$⇻⋧≁$2804$⩒⫫$3524$⩍⋽⫝̸$1593$","expression":"≴∭⊉13241⇻⋧≁≴∭⊉11114⩒⫫≴∭⊉13163⩍⋽⫝̸≴∭⊉4434","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3615,"operation_count":3,"complexity_ratio":1205.0,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3557,"base":7},"right_expr":{"type":"numeric_atoms","value":2804,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3524,"base":7},"right_expr":{"type":"numeric_atoms","value":1593,"base":7}}},"used_operators":["KFSx94NKJn","jCPkEVoL5K","BiWNJpBvwn"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≴∭⊉-4664","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3557","layer":2},{"info":"number node, value=2804","layer":2},{"info":"compute binary expreesion, left_input=3557, right_input=2804, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"number node, value=3524","layer":2},{"info":"number node, value=1593","layer":2},{"info":"compute binary expreesion, left_input=3524, right_input=1593, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=647","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=647, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-1712","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13241⇻⋧≁≴∭⊉11114⩒⫫≴∭⊉13163⩍⋽⫝̸≴∭⊉4434=≴∭⊉-4664","reverse_text":"≴∭⊉-4664=≴∭⊉13241⇻⋧≁≴∭⊉11114⩒⫫≴∭⊉13163⩍⋽⫝̸≴∭⊉4434","cot":[{"info":"≴∭⊉13241⇻⋧≁≴∭⊉11114=≴∭⊉-1206","layer":1},{"info":"≴∭⊉13163⩍⋽⫝̸≴∭⊉4434=≴∭⊉1613","layer":1},{"info":"≴∭⊉-1206⩒⫫≴∭⊉1613=≴∭⊉-4664","layer":0}]}
+{"id":36,"expression_no_base_symbol":"$5351$⊲⩕⊾$3439$⫒⫫($4510$⪶≀⋏$2090$)","expression":"≴∭⊉21413⊲⩕⊾≴∭⊉13012⫒⫫(≴∭⊉16102⪶≀⋏≴∭⊉6044)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5351,"base":7},"right_expr":{"type":"numeric_atoms","value":3439,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4510,"base":7},"right_expr":{"type":"numeric_atoms","value":2090,"base":7}}},"used_operators":["6Ko8hGgeMq","DmTXOeWf9t","zR4jO40bMj"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉5155646","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5351","layer":2},{"info":"number node, value=3439","layer":2},{"info":"compute binary expreesion, left_input=5351, right_input=3439, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-116636","layer":1},{"info":"number node, value=4510","layer":2},{"info":"number node, value=2090","layer":2},{"info":"compute binary expreesion, left_input=4510, right_input=2090, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17942","layer":1},{"info":"compute binary expreesion, left_input=-116636, right_input=-17942, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=619100","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21413⊲⩕⊾≴∭⊉13012⫒⫫(≴∭⊉16102⪶≀⋏≴∭⊉6044)=≴∭⊉5155646","reverse_text":"≴∭⊉5155646=≴∭⊉21413⊲⩕⊾≴∭⊉13012⫒⫫(≴∭⊉16102⪶≀⋏≴∭⊉6044)","cot":[{"info":"≴∭⊉21413⊲⩕⊾≴∭⊉13012=≴∭⊉-664022","layer":1},{"info":"≴∭⊉16102⪶≀⋏≴∭⊉6044=≴∭⊉-103211","layer":1},{"info":"≴∭⊉-664022⫒⫫≴∭⊉-103211=≴∭⊉5155646","layer":0}]}
+{"id":37,"expression_no_base_symbol":"⩦⊞(⇋↷$1358$)","expression":"⩦⊞(⇋↷≴∭⊉3650)","highest_n_order":1,"priority_hierarchical_complexity":1,"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":1358,"base":7}}},"used_operators":["u7fv1HBiaC","SWo3A1KBJH"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"≴∭⊉-42610","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":2},{"info":"compute unary expreesion, input=1358, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10864","layer":1},{"info":"compute unary expreesion, input=10864, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-10591","layer":0}],"base":7,"result_base":7,"text":"⩦⊞(⇋↷≴∭⊉3650)=≴∭⊉-42610","reverse_text":"≴∭⊉-42610=⩦⊞(⇋↷≴∭⊉3650)","cot":[{"info":"⇋↷≴∭⊉3650=≴∭⊉43450","layer":1},{"info":"⩦⊞≴∭⊉43450=≴∭⊉-42610","layer":0}]}
+{"id":38,"expression_no_base_symbol":"($2984$⪔$1024$)∋(∟⋨$1819$)","expression":"(≴∭⊉11462⪔≴∭⊉2662)∋(∟⋨≴∭⊉5206)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3048,"operation_count":3,"complexity_ratio":1016.0,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2984,"base":7},"right_expr":{"type":"numeric_atoms","value":1024,"base":7}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1819,"base":7}}},"used_operators":["ukq6epAj5P","GjBEYRfMaF","ctOc4cKSDt"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","tmPS8pqC7x"],"result":"≴∭⊉-323334","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2984","layer":2},{"info":"number node, value=1024","layer":2},{"info":"compute binary expreesion, left_input=2984, right_input=1024, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=1819","layer":2},{"info":"compute unary expreesion, input=1819, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1335","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=-1335, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-56424","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11462⪔≴∭⊉2662)∋(∟⋨≴∭⊉5206)=≴∭⊉-323334","reverse_text":"≴∭⊉-323334=(≴∭⊉11462⪔≴∭⊉2662)∋(∟⋨≴∭⊉5206)","cot":[{"info":"≴∭⊉11462⪔≴∭⊉2662=≴∭⊉1212","layer":1},{"info":"∟⋨≴∭⊉5206=≴∭⊉-3615","layer":1},{"info":"≴∭⊉1212∋≴∭⊉-3615=≴∭⊉-323334","layer":0}]}
+{"id":39,"expression_no_base_symbol":"$1932$⨸$6289$⨔⇊($1144$⫸⊐$7936$)","expression":"≴∭⊉5430⨸≴∭⊉24223⨔⇊(≴∭⊉3223⫸⊐≴∭⊉32065)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2068,"operation_count":3,"complexity_ratio":689.3333333333334,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1932,"base":7},"right_expr":{"type":"numeric_atoms","value":6289,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1144,"base":7},"right_expr":{"type":"numeric_atoms","value":7936,"base":7}}},"used_operators":["JclMnS0uGI","KmoU8R5UQR","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉161120","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":2},{"info":"number node, value=6289","layer":2},{"info":"compute binary expreesion, left_input=1932, right_input=6289, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3864","layer":1},{"info":"number node, value=1144","layer":2},{"info":"number node, value=7936","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=7936, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=31619","layer":1},{"info":"compute binary expreesion, left_input=3864, right_input=31619, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=31619","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5430⨸≴∭⊉24223⨔⇊(≴∭⊉3223⫸⊐≴∭⊉32065)=≴∭⊉161120","reverse_text":"≴∭⊉161120=≴∭⊉5430⨸≴∭⊉24223⨔⇊(≴∭⊉3223⫸⊐≴∭⊉32065)","cot":[{"info":"≴∭⊉5430⨸≴∭⊉24223=≴∭⊉14160","layer":1},{"info":"≴∭⊉3223⫸⊐≴∭⊉32065=≴∭⊉161120","layer":1},{"info":"≴∭⊉14160⨔⇊≴∭⊉161120=≴∭⊉161120","layer":0}]}
+{"id":40,"expression_no_base_symbol":"(≱⇩⩕$1796$)⩷∴$1266$⩦$7143$","expression":"(≱⇩⩕≴∭⊉5144)⩷∴≴∭⊉3456⩦≴∭⊉26553","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1796,"base":7}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1266,"base":7},"right_expr":{"type":"numeric_atoms","value":7143,"base":7}}},"used_operators":["9FxExcQeMw","3DZMoQKiUl","0kmYd0q39Y"],"dependent_operators":["rysDP5nf3Z","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-20125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1796","layer":2},{"info":"compute unary expreesion, input=1796, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=1266","layer":2},{"info":"number node, value=7143","layer":2},{"info":"compute binary expreesion, left_input=1266, right_input=7143, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2532","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=2532, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4870","layer":0}],"base":7,"result_base":7,"text":"(≱⇩⩕≴∭⊉5144)⩷∴≴∭⊉3456⩦≴∭⊉26553=≴∭⊉-20125","reverse_text":"≴∭⊉-20125=(≱⇩⩕≴∭⊉5144)⩷∴≴∭⊉3456⩦≴∭⊉26553","cot":[{"info":"≱⇩⩕≴∭⊉5144=≴∭⊉221","layer":1},{"info":"≴∭⊉3456⩦≴∭⊉26553=≴∭⊉10245","layer":1},{"info":"≴∭⊉221⩷∴≴∭⊉10245=≴∭⊉-20125","layer":0}]}
+{"id":41,"expression_no_base_symbol":"$4103$⪨⊡$1041$⪄$1374$⨿$3272$","expression":"≴∭⊉14651⪨⊡≴∭⊉3015⪄≴∭⊉4002⨿≴∭⊉12353","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":258,"operation_count":3,"complexity_ratio":86.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4103,"base":7},"right_expr":{"type":"numeric_atoms","value":1041,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1374,"base":7},"right_expr":{"type":"numeric_atoms","value":3272,"base":7}}},"used_operators":["SUmda5xLS4","kuIXHzHcAH","abYXlopdE0"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"≴∭⊉21060","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4103","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=4103, right_input=1041, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1374","layer":2},{"info":"number node, value=3272","layer":2},{"info":"compute binary expreesion, left_input=1374, right_input=3272, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=5187","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14651⪨⊡≴∭⊉3015⪄≴∭⊉4002⨿≴∭⊉12353=≴∭⊉21060","reverse_text":"≴∭⊉21060=≴∭⊉14651⪨⊡≴∭⊉3015⪄≴∭⊉4002⨿≴∭⊉12353","cot":[{"info":"≴∭⊉14651⪨⊡≴∭⊉3015=≴∭⊉0","layer":1},{"info":"≴∭⊉4002⨿≴∭⊉12353=≴∭⊉-634","layer":1},{"info":"≴∭⊉0⪄≴∭⊉-634=≴∭⊉21060","layer":0}]}
+{"id":42,"expression_no_base_symbol":"($7968$⫡⨏$6496$)⫞⩸⩒($1302$≴⪞⇿$1618$)","expression":"(≴∭⊉32142⫡⨏≴∭⊉24640)⫞⩸⩒(≴∭⊉3540≴⪞⇿≴∭⊉4501)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1087,"operation_count":3,"complexity_ratio":362.3333333333333,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7968,"base":7},"right_expr":{"type":"numeric_atoms","value":6496,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1302,"base":7},"right_expr":{"type":"numeric_atoms","value":1618,"base":7}}},"used_operators":["XGcMNugi78","QMFrweE19q","lvlrscuwVU"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"≴∭⊉24000453","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7968","layer":2},{"info":"number node, value=6496","layer":2},{"info":"compute binary expreesion, left_input=7968, right_input=6496, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=53615","layer":1},{"info":"number node, value=1302","layer":2},{"info":"number node, value=1618","layer":2},{"info":"compute binary expreesion, left_input=1302, right_input=1618, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2117916","layer":1},{"info":"compute binary expreesion, left_input=53615, right_input=2117916, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2117916","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32142⫡⨏≴∭⊉24640)⫞⩸⩒(≴∭⊉3540≴⪞⇿≴∭⊉4501)=≴∭⊉24000453","reverse_text":"≴∭⊉24000453=(≴∭⊉32142⫡⨏≴∭⊉24640)⫞⩸⩒(≴∭⊉3540≴⪞⇿≴∭⊉4501)","cot":[{"info":"≴∭⊉32142⫡⨏≴∭⊉24640=≴∭⊉312212","layer":1},{"info":"≴∭⊉3540≴⪞⇿≴∭⊉4501=≴∭⊉24000453","layer":1},{"info":"≴∭⊉312212⫞⩸⩒≴∭⊉24000453=≴∭⊉24000453","layer":0}]}
+{"id":43,"expression_no_base_symbol":"($1252$≄⊠$5767$)↳∿⪆($1448$≦≮≮)","expression":"(≴∭⊉3436≄⊠≴∭⊉22546)↳∿⪆(≴∭⊉4136≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2508,"operation_count":3,"complexity_ratio":836.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1252,"base":7},"right_expr":{"type":"numeric_atoms","value":5767,"base":7}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1448,"base":7}}},"used_operators":["Cw4SuJJGHO","vXNesLlMH1","D4vGDi5EA2"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":2},{"info":"number node, value=5767","layer":2},{"info":"compute binary expreesion, left_input=1252, right_input=5767, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=96940","layer":1},{"info":"number node, value=1448","layer":2},{"info":"compute unary expreesion, input=1448, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4344","layer":1},{"info":"compute binary expreesion, left_input=96940, right_input=-4344, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3436≄⊠≴∭⊉22546)↳∿⪆(≴∭⊉4136≦≮≮)=NaN","reverse_text":"NaN=(≴∭⊉3436≄⊠≴∭⊉22546)↳∿⪆(≴∭⊉4136≦≮≮)","cot":[{"info":"≴∭⊉3436≄⊠≴∭⊉22546=≴∭⊉552424","layer":1},{"info":"≴∭⊉4136≦≮≮=≴∭⊉-15444","layer":1},{"info":"≴∭⊉552424↳∿⪆≴∭⊉-15444=NaN","layer":0}]}
+{"id":44,"expression_no_base_symbol":"$4614$≃$7846$⪄$2117$∑⇟⊟$2988$","expression":"≴∭⊉16311≃≴∭⊉31606⪄≴∭⊉6113∑⇟⊟≴∭⊉11466","highest_n_order":4,"priority_hierarchical_complexity":3,"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":4614,"base":7},"right_expr":{"type":"numeric_atoms","value":7846,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2117,"base":7},"right_expr":{"type":"numeric_atoms","value":2988,"base":7}}},"used_operators":["SUmda5xLS4","YbVcJGFEVW","U7g4x0WXJJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4614","layer":2},{"info":"number node, value=7846","layer":2},{"info":"compute binary expreesion, left_input=4614, right_input=7846, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-18496","layer":1},{"info":"number node, value=2117","layer":2},{"info":"number node, value=2988","layer":2},{"info":"compute binary expreesion, left_input=2117, right_input=2988, 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=-18496, 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":7,"result_base":7,"text":"≴∭⊉16311≃≴∭⊉31606⪄≴∭⊉6113∑⇟⊟≴∭⊉11466=≴∭⊉14413","reverse_text":"≴∭⊉14413=≴∭⊉16311≃≴∭⊉31606⪄≴∭⊉6113∑⇟⊟≴∭⊉11466","cot":[{"info":"≴∭⊉16311≃≴∭⊉31606=≴∭⊉-104632","layer":1},{"info":"≴∭⊉6113∑⇟⊟≴∭⊉11466=NaN","layer":1},{"info":"≴∭⊉-104632⪄NaN=≴∭⊉14413","layer":0}]}
+{"id":45,"expression_no_base_symbol":"(∮$1045$)⊕∕($1377$⋷$2380$)","expression":"(∮≴∭⊉3022)⊕∕(≴∭⊉4005⋷≴∭⊉6640)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":312,"operation_count":3,"complexity_ratio":104.0,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1045,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1377,"base":7},"right_expr":{"type":"numeric_atoms","value":2380,"base":7}}},"used_operators":["9cloC0Ngie","CqXKPLVYql","23Mk6UjR3U"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"compute unary expreesion, input=1045, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"number node, value=1377","layer":2},{"info":"number node, value=2380","layer":2},{"info":"compute binary expreesion, left_input=1377, right_input=2380, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3383","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=3383, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(∮≴∭⊉3022)⊕∕(≴∭⊉4005⋷≴∭⊉6640)=≴∭⊉124","reverse_text":"≴∭⊉124=(∮≴∭⊉3022)⊕∕(≴∭⊉4005⋷≴∭⊉6640)","cot":[{"info":"∮≴∭⊉3022=≴∭⊉124","layer":1},{"info":"≴∭⊉4005⋷≴∭⊉6640=≴∭⊉12602","layer":1},{"info":"≴∭⊉124⊕∕≴∭⊉12602=≴∭⊉124","layer":0}]}
+{"id":46,"expression_no_base_symbol":"$1104$⪚$1214$⪨⊡$4582$⪶≀⋏$6559$","expression":"≴∭⊉3135⪚≴∭⊉3353⪨⊡≴∭⊉16234⪶≀⋏≴∭⊉25060","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1104,"base":7},"right_expr":{"type":"numeric_atoms","value":1214,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4582,"base":7},"right_expr":{"type":"numeric_atoms","value":6559,"base":7}}},"used_operators":["kuIXHzHcAH","HrjLwUk87U","zR4jO40bMj"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉633201","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":2},{"info":"number node, value=1214","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=1214, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-576","layer":1},{"info":"number node, value=4582","layer":2},{"info":"number node, value=6559","layer":2},{"info":"compute binary expreesion, left_input=4582, right_input=6559, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-27096","layer":1},{"info":"compute binary expreesion, left_input=-576, right_input=-27096, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=109173","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3135⪚≴∭⊉3353⪨⊡≴∭⊉16234⪶≀⋏≴∭⊉25060=≴∭⊉633201","reverse_text":"≴∭⊉633201=≴∭⊉3135⪚≴∭⊉3353⪨⊡≴∭⊉16234⪶≀⋏≴∭⊉25060","cot":[{"info":"≴∭⊉3135⪚≴∭⊉3353=≴∭⊉-1452","layer":1},{"info":"≴∭⊉16234⪶≀⋏≴∭⊉25060=≴∭⊉-141666","layer":1},{"info":"≴∭⊉-1452⪨⊡≴∭⊉-141666=≴∭⊉633201","layer":0}]}
+{"id":47,"expression_no_base_symbol":"$4171$⨽∌$3494$⨉","expression":"≴∭⊉15106⨽∌≴∭⊉13121⨉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67,"operation_count":2,"complexity_ratio":33.5,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4171,"base":7},"right_expr":{"type":"numeric_atoms","value":3494,"base":7}}},"used_operators":["aMUSaJuDRU","9samAPKr6k"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≴∭⊉6534","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4171","layer":2},{"info":"number node, value=3494","layer":2},{"info":"compute binary expreesion, left_input=4171, right_input=3494, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15106⨽∌≴∭⊉13121⨉=≴∭⊉6534","reverse_text":"≴∭⊉6534=≴∭⊉15106⨽∌≴∭⊉13121⨉","cot":[{"info":"≴∭⊉15106⨽∌≴∭⊉13121=≴∭⊉0","layer":1},{"info":"≴∭⊉0⨉=≴∭⊉6534","layer":0}]}
+{"id":48,"expression_no_base_symbol":"(⨝⨆$2551$)⩏","expression":"(⨝⨆≴∭⊉10303)⩏","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":544,"operation_count":2,"complexity_ratio":272.0,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2551,"base":7}}},"used_operators":["iA2gmKZ3Wj","bQ67fsrMVf"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","tifHPKVTfV"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2551","layer":2},{"info":"compute unary expreesion, input=2551, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2342","layer":1},{"info":"compute unary expreesion, input=2342, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⨝⨆≴∭⊉10303)⩏=≴∭⊉0","reverse_text":"≴∭⊉0=(⨝⨆≴∭⊉10303)⩏","cot":[{"info":"⨝⨆≴∭⊉10303=≴∭⊉6554","layer":1},{"info":"≴∭⊉6554⩏=≴∭⊉0","layer":0}]}
+{"id":49,"expression_no_base_symbol":"⨵($2364$⫚↹⊑$6773$)","expression":"⨵(≴∭⊉6615⫚↹⊑≴∭⊉25514)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":73,"operation_count":2,"complexity_ratio":36.5,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2364,"base":7},"right_expr":{"type":"numeric_atoms","value":6773,"base":7}}},"used_operators":["Tl3Y52tvF8","dfKe02y8D2"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉54413","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2364","layer":2},{"info":"number node, value=6773","layer":2},{"info":"compute binary expreesion, left_input=2364, right_input=6773, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=13583","layer":0}],"base":7,"result_base":7,"text":"⨵(≴∭⊉6615⫚↹⊑≴∭⊉25514)=≴∭⊉54413","reverse_text":"≴��⊉54413=⨵(≴∭⊉6615⫚↹⊑≴∭⊉25514)","cot":[{"info":"≴∭⊉6615⫚↹⊑≴∭⊉25514=≴∭⊉-1206","layer":1},{"info":"⨵≴∭⊉-1206=≴∭⊉54413","layer":0}]}
+{"id":50,"expression_no_base_symbol":"(∟⋨$3779$)⨓($1548$⊨$1353$)","expression":"(∟⋨≴∭⊉14006)⨓(≴∭⊉4341⊨≴∭⊉3642)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11019,"operation_count":3,"complexity_ratio":3673.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3779,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1548,"base":7},"right_expr":{"type":"numeric_atoms","value":1353,"base":7}}},"used_operators":["3ViojmjbAp","ctOc4cKSDt","vg4gO5BX6G"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","tmPS8pqC7x","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉-30032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3779","layer":2},{"info":"compute unary expreesion, input=3779, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3295","layer":1},{"info":"number node, value=1548","layer":2},{"info":"number node, value=1353","layer":2},{"info":"compute binary expreesion, left_input=1548, right_input=1353, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=7223","layer":1},{"info":"compute binary expreesion, left_input=-3295, right_input=7223, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7226","layer":0}],"base":7,"result_base":7,"text":"(∟⋨≴∭⊉14006)⨓(≴∭⊉4341⊨≴∭⊉3642)=≴∭⊉-30032","reverse_text":"≴∭⊉-30032=(∟⋨≴∭⊉14006)⨓(≴∭⊉4341⊨≴∭⊉3642)","cot":[{"info":"∟⋨≴∭⊉14006=≴∭⊉-12415","layer":1},{"info":"≴∭⊉4341⊨≴∭⊉3642=≴∭⊉30026","layer":1},{"info":"≴∭⊉-12415⨓≴∭⊉30026=≴∭⊉-30032","layer":0}]}
+{"id":51,"expression_no_base_symbol":"(⪁⇼$1661$)⨽⪊≇","expression":"(⪁⇼≴∭⊉4562)⨽⪊≇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1661,"base":7}}},"used_operators":["nlCqmYiOvY","ZNVVrZ94lY"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"≴∭⊉633","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1661","layer":2},{"info":"compute unary expreesion, input=1661, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute unary expreesion, input=422, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=318","layer":0}],"base":7,"result_base":7,"text":"(⪁⇼≴∭⊉4562)⨽⪊≇=≴∭⊉633","reverse_text":"≴∭⊉633=(⪁⇼≴∭⊉4562)⨽⪊≇","cot":[{"info":"⪁⇼≴∭⊉4562=≴∭⊉1142","layer":1},{"info":"≴∭⊉1142⨽⪊≇=≴∭⊉633","layer":0}]}
+{"id":52,"expression_no_base_symbol":"≸≮(⊥$4756$)","expression":"≸≮(⊥≴∭⊉16603)","highest_n_order":4,"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":4756,"base":7}}},"used_operators":["AljMvE3RRm","Q3PJZHRvZv"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4756","layer":2},{"info":"compute unary expreesion, input=4756, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≸≮(⊥≴∭⊉16603)=NaN","reverse_text":"NaN=≸≮(⊥≴∭⊉16603)","cot":[{"info":"⊥≴∭⊉16603=NaN","layer":1},{"info":"≸≮NaN=NaN","layer":0}]}
+{"id":53,"expression_no_base_symbol":"($4154$⨚$1101$)⨝⩣∺","expression":"(≴∭⊉15053⨚≴∭⊉3132)⨝⩣∺","highest_n_order":1,"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":4154,"base":7},"right_expr":{"type":"numeric_atoms","value":1101,"base":7}}},"used_operators":["ancx8kZcWl","nREPSIbpBE"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM"],"result":"≴∭⊉-40132","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4154","layer":2},{"info":"number node, value=1101","layer":2},{"info":"compute binary expreesion, left_input=4154, right_input=1101, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4838","layer":1},{"info":"compute unary expreesion, input=4838, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-9676","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15053⨚≴∭⊉3132)⨝⩣∺=≴∭⊉-40132","reverse_text":"≴∭⊉-40132=(≴∭⊉15053⨚≴∭⊉3132)⨝⩣∺","cot":[{"info":"≴∭⊉15053⨚≴∭⊉3132=≴∭⊉20051","layer":1},{"info":"≴∭⊉20051⨝⩣∺=≴∭⊉-40132","layer":0}]}
+{"id":54,"expression_no_base_symbol":"($1414$∙∹∝$5404$)⇋≉","expression":"(≴∭⊉4060∙∹∝≴∭⊉21520)⇋≉","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":1414,"base":7},"right_expr":{"type":"numeric_atoms","value":5404,"base":7}}},"used_operators":["XIabStNQrY","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≴∭⊉-200","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":2},{"info":"number node, value=5404","layer":2},{"info":"compute binary expreesion, left_input=1414, right_input=5404, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4060∙∹∝≴∭⊉21520)⇋≉=≴∭⊉-200","reverse_text":"≴∭⊉-200=(≴∭⊉4060∙∹∝≴∭⊉21520)⇋≉","cot":[{"info":"≴∭⊉4060∙∹∝≴∭⊉21520=≴∭⊉0","layer":1},{"info":"≴∭⊉0⇋≉=≴∭⊉-200","layer":0}]}
+{"id":55,"expression_no_base_symbol":"⨂⪏⇭($2103$⊭↱$2378$)","expression":"⨂⪏⇭(≴∭⊉6063⊭↱≴∭⊉6635)","highest_n_order":1,"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":2103,"base":7},"right_expr":{"type":"numeric_atoms","value":2378,"base":7}}},"used_operators":["AYdpE9sXAk","COABgblf1C"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉2000","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2103","layer":2},{"info":"number node, value=2378","layer":2},{"info":"compute binary expreesion, left_input=2103, right_input=2378, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=555","layer":1},{"info":"compute unary expreesion, input=555, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=686","layer":0}],"base":7,"result_base":7,"text":"⨂⪏⇭(≴∭⊉6063⊭↱≴∭⊉6635)=≴∭⊉2000","reverse_text":"≴∭⊉2000=⨂⪏⇭(≴∭⊉6063⊭↱≴∭⊉6635)","cot":[{"info":"≴∭⊉6063⊭↱≴∭⊉6635=≴∭⊉1422","layer":1},{"info":"⨂⪏⇭≴∭⊉1422=≴∭⊉2000","layer":0}]}
+{"id":56,"expression_no_base_symbol":"($1547$⫢⨠$1105$)⊋($4052$⨎$4017$)","expression":"(≴∭⊉4340⫢⨠≴∭⊉3136)⊋(≴∭⊉14546⨎≴∭⊉14466)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7727,"operation_count":3,"complexity_ratio":2575.6666666666665,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1547,"base":7},"right_expr":{"type":"numeric_atoms","value":1105,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4052,"base":7},"right_expr":{"type":"numeric_atoms","value":4017,"base":7}}},"used_operators":["W4tP9CfskL","xlXykHWxX1","rJVOvQCfKK"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≴∭⊉-2656664414","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1547","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=1547, right_input=1105, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=4052","layer":2},{"info":"number node, value=4017","layer":2},{"info":"compute binary expreesion, left_input=4052, right_input=4017, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4017","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=4017, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-120236456","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4340⫢⨠≴∭⊉3136)⊋(≴∭⊉14546⨎≴∭⊉14466)=≴∭⊉-2656664414","reverse_text":"≴∭⊉-2656664414=(≴∭⊉4340⫢⨠≴∭⊉3136)⊋(≴∭⊉14546⨎≴∭⊉14466)","cot":[{"info":"≴∭⊉4340⫢⨠≴∭⊉3136=≴∭⊉316","layer":1},{"info":"≴∭⊉14546⨎≴∭⊉14466=≴∭⊉14466","layer":1},{"info":"≴∭⊉316⊋≴∭⊉14466=≴∭⊉-2656664414","layer":0}]}
+{"id":57,"expression_no_base_symbol":"⩰$1748$∴$1289$","expression":"⩰≴∭⊉5045∴≴∭⊉3521","highest_n_order":1,"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":1748,"base":7},"right_expr":{"type":"numeric_atoms","value":1289,"base":7}}},"used_operators":["WkeUrDK8WX","hrf7POJlIJ"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉-23625","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=1748, right_input=1289, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5144","layer":1},{"info":"compute unary expreesion, input=5144, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-6144","layer":0}],"base":7,"result_base":7,"text":"⩰≴∭⊉5045∴≴∭⊉3521=≴∭⊉-23625","reverse_text":"≴∭⊉-23625=⩰≴∭⊉5045∴≴∭⊉3521","cot":[{"info":"≴∭⊉5045∴≴∭⊉3521=≴∭⊉20666","layer":1},{"info":"⩰≴∭⊉20666=≴∭⊉-23625","layer":0}]}
+{"id":58,"expression_no_base_symbol":"($1177$↯⫤)∧","expression":"(≴∭⊉3301↯⫤)∧","highest_n_order":5,"priority_hierarchical_complexity":1,"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":1177,"base":7}}},"used_operators":["z63VuFQld9","VwlE7vj6HS"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1177","layer":2},{"info":"compute unary expreesion, input=1177, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3301↯⫤)∧=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉3301↯⫤)∧","cot":[{"info":"≴∭⊉3301↯⫤=≴∭⊉0","layer":1},{"info":"≴∭⊉0∧=≴∭⊉0","layer":0}]}
+{"id":59,"expression_no_base_symbol":"(⇙⪊$8200$)⪛⫼$1337$⨎$3026$","expression":"(⇙⪊≴∭⊉32623)⪛⫼≴∭⊉3620⨎≴∭⊉11552","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":8200,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1337,"base":7},"right_expr":{"type":"numeric_atoms","value":3026,"base":7}}},"used_operators":["hyuBjUqXlG","pB6Fcnrjim","rJVOvQCfKK"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8200","layer":2},{"info":"compute unary expreesion, input=8200, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=1337","layer":2},{"info":"number node, value=3026","layer":2},{"info":"compute binary expreesion, left_input=1337, right_input=3026, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3026","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3026, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(⇙⪊≴∭⊉32623)⪛⫼≴∭⊉3620⨎≴∭⊉11552=≴∭⊉2552","reverse_text":"≴∭⊉2552=(⇙⪊≴∭⊉32623)⪛⫼≴∭⊉3620⨎≴∭⊉11552","cot":[{"info":"⇙⪊≴∭⊉32623=≴∭⊉0","layer":1},{"info":"≴∭⊉3620⨎≴∭⊉11552=≴∭⊉11552","layer":1},{"info":"≴∭⊉0⪛⫼≴∭⊉11552=≴∭⊉2552","layer":0}]}
+{"id":60,"expression_no_base_symbol":"(↑$2950$)⫌⩹⨱","expression":"(↑≴∭⊉11413)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2950,"base":7}}},"used_operators":["EBcxylXtPf","tR7O2zTn5j"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"≴∭⊉5130","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2950","layer":2},{"info":"compute unary expreesion, input=2950, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1785","layer":0}],"base":7,"result_base":7,"text":"(↑≴∭⊉11413)⫌⩹⨱=≴∭⊉5130","reverse_text":"≴∭⊉5130=(↑≴∭⊉11413)⫌⩹⨱","cot":[{"info":"↑≴∭⊉11413=≴∭⊉363","layer":1},{"info":"≴∭⊉363⫌⩹⨱=≴∭⊉5130","layer":0}]}
+{"id":61,"expression_no_base_symbol":"$1076$↤⩊$1214$∪⫐$2985$⪢$2142$","expression":"≴∭⊉3065↤⩊≴∭⊉3353∪⫐≴∭⊉11463⪢≴∭⊉6150","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2634,"operation_count":3,"complexity_ratio":878.0,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1076,"base":7},"right_expr":{"type":"numeric_atoms","value":1214,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2985,"base":7},"right_expr":{"type":"numeric_atoms","value":2142,"base":7}}},"used_operators":["7YooWSwCyH","13rbtpv6ld","dWAJyo7jo9"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1076","layer":2},{"info":"number node, value=1214","layer":2},{"info":"compute binary expreesion, left_input=1076, right_input=1214, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=2985","layer":2},{"info":"number node, value=2142","layer":2},{"info":"compute binary expreesion, left_input=2985, right_input=2142, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3065↤⩊≴∭⊉3353∪⫐≴∭⊉11463⪢≴∭⊉6150=NaN","reverse_text":"NaN=≴∭⊉3065↤⩊≴∭⊉3353∪⫐≴∭⊉11463⪢≴∭⊉6150","cot":[{"info":"≴∭⊉3065↤⩊≴∭⊉3353=NaN","layer":1},{"info":"≴∭⊉11463⪢≴∭⊉6150=NaN","layer":1},{"info":"NaN∪⫐NaN=NaN","layer":0}]}
+{"id":62,"expression_no_base_symbol":"$2543$⪃⊛⇣$1078$↞⋁($2042$⪎↠$3888$)","expression":"≴∭⊉10262⪃⊛⇣≴∭⊉3100↞⋁(≴∭⊉5645⪎↠≴∭⊉14223)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":756,"operation_count":3,"complexity_ratio":252.0,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2543,"base":7},"right_expr":{"type":"numeric_atoms","value":1078,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2042,"base":7},"right_expr":{"type":"numeric_atoms","value":3888,"base":7}}},"used_operators":["RqrPlJkxDo","rrgAzCduG9","3tVxb0NHM4"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2543","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=2543, right_input=1078, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=2042","layer":2},{"info":"number node, value=3888","layer":2},{"info":"compute binary expreesion, left_input=2042, right_input=3888, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10262⪃⊛⇣≴∭⊉3100↞⋁(≴∭⊉5645⪎↠≴∭⊉14223)=NaN","reverse_text":"NaN=≴∭⊉10262⪃⊛⇣≴∭⊉3100↞⋁(≴∭⊉5645⪎↠≴∭⊉14223)","cot":[{"info":"≴∭⊉10262⪃⊛⇣≴∭⊉3100=≴∭⊉3412","layer":1},{"info":"≴∭⊉5645⪎↠≴∭⊉14223=≴∭⊉316","layer":1},{"info":"≴∭⊉3412↞⋁≴∭⊉316=NaN","layer":0}]}
+{"id":63,"expression_no_base_symbol":"$6811$⊱⇼⊻$2485$⫃⨇(⨡↴$1081$)","expression":"≴∭⊉25600⊱⇼⊻≴∭⊉10150⫃⨇(⨡↴≴∭⊉3103)","highest_n_order":1,"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":6811,"base":7},"right_expr":{"type":"numeric_atoms","value":2485,"base":7}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1081,"base":7}}},"used_operators":["09Ly4LVMIf","FyVja0WsTP","liw5iZPkLH"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","P8v4zCKN1o"],"result":"≴∭⊉-33635","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6811","layer":2},{"info":"number node, value=2485","layer":2},{"info":"compute binary expreesion, left_input=6811, right_input=2485, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=1081","layer":2},{"info":"compute unary expreesion, input=1081, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2130","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=2130, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8552","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉25600⊱⇼⊻≴∭⊉10150⫃⨇(⨡↴≴∭⊉3103)=≴∭⊉-33635","reverse_text":"≴∭⊉-33635=≴∭⊉25600⊱⇼⊻≴∭⊉10150⫃⨇(⨡↴≴∭⊉3103)","cot":[{"info":"≴∭⊉25600⊱⇼⊻≴∭⊉10150=≴∭⊉1160","layer":1},{"info":"⨡↴≴∭⊉3103=≴∭⊉6132","layer":1},{"info":"≴∭⊉1160⫃⨇≴∭⊉6132=≴∭⊉-33635","layer":0}]}
+{"id":64,"expression_no_base_symbol":"($3295$⪥⨬⪅)⊝⪿⪼($2625$⋳⪒$6364$)","expression":"(≴∭⊉12415⪥⨬⪅)⊝⪿⪼(≴∭⊉10440⋳⪒≴∭⊉24361)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":133,"operation_count":3,"complexity_ratio":44.333333333333336,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":3295,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2625,"base":7},"right_expr":{"type":"numeric_atoms","value":6364,"base":7}}},"used_operators":["3Oe9XWJUTD","zNRQejTB5A","12rbrZMWeM"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉24641","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3295","layer":2},{"info":"compute unary expreesion, input=3295, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))��⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"number node, value=2625","layer":2},{"info":"number node, value=6364","layer":2},{"info":"compute binary expreesion, left_input=2625, right_input=6364, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1401","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-1401, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=6497","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12415⪥⨬⪅)⊝⪿⪼(≴∭⊉10440⋳⪒≴∭⊉24361)=≴∭⊉24641","reverse_text":"≴∭⊉24641=(≴∭⊉12415⪥⨬⪅)⊝⪿⪼(≴∭⊉10440⋳⪒≴∭⊉24361)","cot":[{"info":"≴∭⊉12415⪥⨬⪅=≴∭⊉-1244","layer":1},{"info":"≴∭⊉10440⋳⪒≴∭⊉24361=≴∭⊉-4041","layer":1},{"info":"≴∭⊉-1244⊝⪿⪼≴∭⊉-4041=≴∭⊉24641","layer":0}]}
+{"id":65,"expression_no_base_symbol":"⨝⨆(⨙⪌$3553$)","expression":"⨝⨆(⨙⪌≴∭⊉13234)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":913,"operation_count":2,"complexity_ratio":456.5,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3553,"base":7}}},"used_operators":["bQ67fsrMVf","vEGLkm4Z2k"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"≴∭⊉1631","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3553","layer":2},{"info":"compute unary expreesion, input=3553, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=659","layer":0}],"base":7,"result_base":7,"text":"⨝⨆(⨙⪌≴∭⊉13234)=≴∭⊉1631","reverse_text":"≴∭⊉1631=⨝⨆(⨙⪌≴∭⊉13234)","cot":[{"info":"⨙⪌≴∭⊉13234=≴∭⊉2350","layer":1},{"info":"⨝⨆≴∭⊉2350=≴∭⊉1631","layer":0}]}
+{"id":66,"expression_no_base_symbol":"(↴⪽⋼$1775$)⨸⪁$2567$⪚$6789$","expression":"(↴⪽⋼≴∭⊉5114)⨸⪁≴∭⊉10325⪚≴∭⊉25536","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1775,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2567,"base":7},"right_expr":{"type":"numeric_atoms","value":6789,"base":7}}},"used_operators":["g55IO6H4Gj","5TUYCnJO6w","HrjLwUk87U"],"dependent_operators":["W4YGzv6Whe","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≴∭⊉-55651","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1775","layer":2},{"info":"compute unary expreesion, input=1775, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1775","layer":1},{"info":"number node, value=2567","layer":2},{"info":"number node, value=6789","layer":2},{"info":"compute binary expreesion, left_input=2567, right_input=6789, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-8800","layer":1},{"info":"compute binary expreesion, left_input=1775, right_input=-8800, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-14050","layer":0}],"base":7,"result_base":7,"text":"(↴⪽⋼≴∭⊉5114)⨸⪁≴∭⊉10325⪚≴∭⊉25536=≴∭⊉-55651","reverse_text":"≴∭⊉-55651=(↴⪽⋼≴∭⊉5114)⨸⪁≴∭⊉10325⪚≴∭⊉25536","cot":[{"info":"↴⪽⋼≴∭⊉5114=≴∭⊉5114","layer":1},{"info":"≴∭⊉10325⪚≴∭⊉25536=≴∭⊉-34441","layer":1},{"info":"≴∭⊉5114⨸⪁≴∭⊉-34441=≴∭⊉-55651","layer":0}]}
+{"id":67,"expression_no_base_symbol":"$1115$⫚↹⊑$1397$⫡⨏$1704$⇴∐$2116$","expression":"≴∭⊉3152⫚↹⊑≴∭⊉4034⫡⨏≴∭⊉4653⇴∐≴∭⊉6112","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1115,"base":7},"right_expr":{"type":"numeric_atoms","value":1397,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1704,"base":7},"right_expr":{"type":"numeric_atoms","value":2116,"base":7}}},"used_operators":["QMFrweE19q","dfKe02y8D2","HnzytWxmAO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1115","layer":2},{"info":"number node, value=1397","layer":2},{"info":"compute binary expreesion, left_input=1115, right_input=1397, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1704","layer":2},{"info":"number node, value=2116","layer":2},{"info":"compute binary expreesion, left_input=1704, right_input=2116, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, 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":7,"result_base":7,"text":"≴∭⊉3152⫚↹⊑≴∭⊉4034⫡⨏≴∭⊉4653⇴∐≴∭⊉6112=NaN","reverse_text":"NaN=≴∭⊉3152⫚↹⊑≴∭⊉4034⫡⨏≴∭⊉4653⇴∐≴∭⊉6112","cot":[{"info":"≴∭⊉3152⫚↹⊑≴∭⊉4034=≴∭⊉-1206","layer":1},{"info":"≴∭⊉4653⇴∐≴∭⊉6112=NaN","layer":1},{"info":"≴∭⊉-1206⫡⨏NaN=NaN","layer":0}]}
+{"id":68,"expression_no_base_symbol":"$2012$⋣⋖$2083$⩧⪆($2405$⪣⫩)","expression":"≴∭⊉5603⋣⋖≴∭⊉6034⩧⪆(≴∭⊉10004⪣⫩)","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":2012,"base":7},"right_expr":{"type":"numeric_atoms","value":2083,"base":7}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2405,"base":7}}},"used_operators":["Ikt5ks8PT7","J0M6qkBnIM","iuk5sVOGFA"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-26640","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2012","layer":2},{"info":"number node, value=2083","layer":2},{"info":"compute binary expreesion, left_input=2012, right_input=2083, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2012","layer":1},{"info":"number node, value=2405","layer":2},{"info":"compute unary expreesion, input=2405, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7182","layer":1},{"info":"compute binary expreesion, left_input=2012, right_input=7182, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7182","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5603⋣⋖≴∭⊉6034⩧⪆(≴∭⊉10004⪣⫩)=≴∭⊉-26640","reverse_text":"≴∭⊉-26640=≴∭⊉5603⋣⋖≴∭⊉6034⩧⪆(≴∭⊉10004⪣⫩)","cot":[{"info":"≴∭⊉5603⋣⋖≴∭⊉6034=≴∭⊉5603","layer":1},{"info":"≴∭⊉10004⪣⫩=≴∭⊉26640","layer":1},{"info":"≴∭⊉5603⩧⪆≴∭⊉26640=≴∭⊉-26640","layer":0}]}
+{"id":69,"expression_no_base_symbol":"$1523$⨰$1241$⨵⪆$7391$≦↸$1213$","expression":"≴∭⊉4304⨰≴∭⊉3422⨵⪆≴∭⊉30356≦↸≴∭⊉3352","highest_n_order":1,"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":1523,"base":7},"right_expr":{"type":"numeric_atoms","value":1241,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":7391,"base":7},"right_expr":{"type":"numeric_atoms","value":1213,"base":7}}},"used_operators":["2DQ55sFlQl","eewbuw0ToL","RygbFNSyEJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":2},{"info":"number node, value=1241","layer":2},{"info":"compute binary expreesion, left_input=1523, right_input=1241, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=292","layer":1},{"info":"number node, value=7391","layer":2},{"info":"number node, value=1213","layer":2},{"info":"compute binary expreesion, left_input=7391, right_input=1213, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳���(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-16527","layer":1},{"info":"compute binary expreesion, left_input=292, right_input=-16527, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4304⨰≴∭⊉3422⨵⪆≴∭⊉30356≦↸≴∭⊉3352=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉4304⨰≴∭⊉3422⨵⪆≴∭⊉30356≦↸≴∭⊉3352","cot":[{"info":"≴∭⊉4304⨰≴∭⊉3422=≴∭⊉565","layer":1},{"info":"≴∭⊉30356≦↸≴∭⊉3352=≴∭⊉-66120","layer":1},{"info":"≴∭⊉565⨵⪆≴∭⊉-66120=≴∭⊉316","layer":0}]}
+{"id":70,"expression_no_base_symbol":"($6933$⪁$2160$)⊮⊟↴($4439$⇂≾⫗$3536$)","expression":"(≴∭⊉26133⪁≴∭⊉6204)⊮⊟↴(≴∭⊉15641⇂≾⫗≴∭⊉13211)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58000689,"operation_count":3,"complexity_ratio":19333563.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6933,"base":7},"right_expr":{"type":"numeric_atoms","value":2160,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4439,"base":7},"right_expr":{"type":"numeric_atoms","value":3536,"base":7}}},"used_operators":["QDVgd2eftb","I7sXao9hZE","aBQ6xLxuTc"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≴∭⊉4504","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6933","layer":2},{"info":"number node, value=2160","layer":2},{"info":"compute binary expreesion, left_input=6933, right_input=2160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=4439","layer":2},{"info":"number node, value=3536","layer":2},{"info":"compute binary expreesion, left_input=4439, right_input=3536, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=1621","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26133⪁≴∭⊉6204)⊮⊟↴(≴∭⊉15641⇂≾⫗≴∭⊉13211)=≴∭⊉4504","reverse_text":"≴∭⊉4504=(≴∭⊉26133⪁≴∭⊉6204)⊮⊟↴(≴∭⊉15641⇂≾⫗≴∭⊉13211)","cot":[{"info":"≴∭⊉26133⪁≴∭⊉6204=NaN","layer":1},{"info":"≴∭⊉15641⇂≾⫗≴∭⊉13211=≴∭⊉-1654","layer":1},{"info":"NaN⊮⊟↴≴∭⊉-1654=≴∭⊉4504","layer":0}]}
+{"id":71,"expression_no_base_symbol":"($1153$⨭⪣$4403$)⩣⫁∢(⊵⊁$2476$)","expression":"(≴∭⊉3235⨭⪣≴∭⊉15560)⩣⫁∢(⊵⊁≴∭⊉10135)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1153,"base":7},"right_expr":{"type":"numeric_atoms","value":4403,"base":7}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2476,"base":7}}},"used_operators":["JDUIKTTSIa","kn8WO9XteQ","AvED76WdY7"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uBihLCJcMX","k8jYdgA6NY"],"result":"≴∭⊉3055","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"number node, value=4403","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=4403, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-126","layer":1},{"info":"number node, value=2476","layer":2},{"info":"compute unary expreesion, input=2476, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=13786","layer":1},{"info":"compute binary expreesion, left_input=-126, right_input=13786, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=1069","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3235⨭⪣≴∭⊉15560)⩣⫁∢(⊵⊁≴∭⊉10135)=≴∭⊉3055","reverse_text":"≴∭⊉3055=(≴∭⊉3235⨭⪣≴∭⊉15560)⩣⫁∢(⊵⊁≴∭⊉10135)","cot":[{"info":"≴∭⊉3235⨭⪣≴∭⊉15560=≴∭⊉-240","layer":1},{"info":"⊵⊁≴∭⊉10135=≴∭⊉55123","layer":1},{"info":"≴∭⊉-240⩣⫁∢≴∭⊉55123=���∭⊉3055","layer":0}]}
+{"id":72,"expression_no_base_symbol":"⪝⪂⫅$2195$∌$1573$","expression":"⪝⪂⫅≴∭⊉6254∌≴∭⊉4405","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":151,"operation_count":2,"complexity_ratio":75.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2195,"base":7},"right_expr":{"type":"numeric_atoms","value":1573,"base":7}}},"used_operators":["XTarYq4gQB","8cLx32lpNA"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉1652100","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":2},{"info":"number node, value=1573","layer":2},{"info":"compute binary expreesion, left_input=2195, right_input=1573, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1573","layer":1},{"info":"compute unary expreesion, input=-1573, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=231231","layer":0}],"base":7,"result_base":7,"text":"⪝⪂⫅≴∭⊉6254∌≴∭⊉4405=≴∭⊉1652100","reverse_text":"≴∭⊉1652100=⪝⪂⫅≴∭⊉6254∌≴∭⊉4405","cot":[{"info":"≴∭⊉6254∌≴∭⊉4405=≴∭⊉-4405","layer":1},{"info":"⪝⪂⫅≴∭⊉-4405=≴∭⊉1652100","layer":0}]}
+{"id":73,"expression_no_base_symbol":"⋎⨆$1551$⫉⨲⊜$5884$","expression":"⋎⨆≴∭⊉4344⫉⨲⊜≴∭⊉23104","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":69,"operation_count":2,"complexity_ratio":34.5,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1551,"base":7},"right_expr":{"type":"numeric_atoms","value":5884,"base":7}}},"used_operators":["E64sFOc4tB","WhqkvtTD3t"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1551","layer":2},{"info":"number node, value=5884","layer":2},{"info":"compute binary expreesion, left_input=1551, right_input=5884, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⋎⨆≴∭⊉4344⫉⨲⊜≴∭⊉23104=≴∭⊉0","reverse_text":"≴∭⊉0=⋎⨆≴∭⊉4344⫉⨲⊜≴∭⊉23104","cot":[{"info":"≴∭⊉4344⫉⨲⊜≴∭⊉23104=≴∭⊉0","layer":1},{"info":"⋎⨆≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":74,"expression_no_base_symbol":"$4318$↱$3668$⨵⪆(⊵⊁$7140$)","expression":"≴∭⊉15406↱≴∭⊉13460⨵⪆(⊵⊁≴∭⊉26550)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":3,"complexity_ratio":24.666666666666668,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4318,"base":7},"right_expr":{"type":"numeric_atoms","value":3668,"base":7}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":7140,"base":7}}},"used_operators":["2DQ55sFlQl","SR5kFfdi6N","AvED76WdY7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","uBihLCJcMX","k8jYdgA6NY"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4318","layer":2},{"info":"number node, value=3668","layer":2},{"info":"compute binary expreesion, left_input=4318, right_input=3668, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-10482","layer":1},{"info":"number node, value=7140","layer":2},{"info":"compute unary expreesion, input=7140, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=41770","layer":1},{"info":"compute binary expreesion, left_input=-10482, right_input=41770, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15406↱≴∭⊉13460⨵⪆(⊵⊁≴∭⊉26550)=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉15406↱≴∭⊉13460⨵⪆(⊵⊁≴∭⊉26550)","cot":[{"info":"≴∭⊉15406↱≴∭⊉13460=≴∭⊉-42363","layer":1},{"info":"⊵⊁≴∭⊉26550=≴∭⊉232531","layer":1},{"info":"≴∭⊉-42363⨵⪆≴∭⊉232531=≴∭⊉316","layer":0}]}
+{"id":75,"expression_no_base_symbol":"$2795$≧⫂∧$6805$≎⊠⪸($1871$⊅)","expression":"≴∭⊉11102≧⫂∧≴∭⊉25561≎⊠⪸(≴∭⊉5312⊅)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":395,"operation_count":3,"complexity_ratio":131.66666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2795,"base":7},"right_expr":{"type":"numeric_atoms","value":6805,"base":7}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1871,"base":7}}},"used_operators":["bJkvcejdHO","Ph9nP6C5qx","7p6YLioM7f"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"≴∭⊉16635633","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2795","layer":2},{"info":"number node, value=6805","layer":2},{"info":"compute binary expreesion, left_input=2795, right_input=6805, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6332","layer":1},{"info":"number node, value=1871","layer":2},{"info":"compute unary expreesion, input=1871, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=6332, right_input=-174, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1639515","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11102≧⫂∧≴∭⊉25561≎⊠⪸(≴∭⊉5312⊅)=≴∭⊉16635633","reverse_text":"≴∭⊉16635633=≴∭⊉11102≧⫂∧≴∭⊉25561≎⊠⪸(≴∭⊉5312⊅)","cot":[{"info":"≴∭⊉11102≧⫂∧≴∭⊉25561=≴∭⊉24314","layer":1},{"info":"≴∭⊉5312⊅=≴∭⊉-336","layer":1},{"info":"≴∭⊉24314≎⊠⪸≴∭⊉-336=≴∭⊉16635633","layer":0}]}
+{"id":76,"expression_no_base_symbol":"≘($3788$≚⊃≕$4892$)","expression":"≘(≴∭⊉14021≚⊃≕≴∭⊉20156)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":141,"operation_count":2,"complexity_ratio":70.5,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3788,"base":7},"right_expr":{"type":"numeric_atoms","value":4892,"base":7}}},"used_operators":["tcjXMdvYtA","Bmrmz2XGnR"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉1155666","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3788","layer":2},{"info":"number node, value=4892","layer":2},{"info":"compute binary expreesion, left_input=3788, right_input=4892, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=148518","layer":0}],"base":7,"result_base":7,"text":"≘(≴∭⊉14021≚⊃≕≴∭⊉20156)=≴∭⊉1155666","reverse_text":"≴∭⊉1155666=≘(≴∭⊉14021≚⊃≕≴∭⊉20156)","cot":[{"info":"≴∭⊉14021≚⊃≕≴∭⊉20156=≴∭⊉124","layer":1},{"info":"≘≴∭⊉124=≴∭⊉1155666","layer":0}]}
+{"id":77,"expression_no_base_symbol":"$1270$≒∊$7717$⊨$2954$⊱⇼⊻$3454$","expression":"≴∭⊉3463≒∊≴∭⊉31333⊨≴∭⊉11420⊱⇼⊻≴∭⊉13033","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":1270,"base":7},"right_expr":{"type":"numeric_atoms","value":7717,"base":7}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2954,"base":7},"right_expr":{"type":"numeric_atoms","value":3454,"base":7}}},"used_operators":["vg4gO5BX6G","5KTvxBwnZo","FyVja0WsTP"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1270","layer":2},{"info":"number node, value=7717","layer":2},{"info":"compute binary expreesion, left_input=1270, right_input=7717, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-786","layer":1},{"info":"number node, value=2954","layer":2},{"info":"number node, value=3454","layer":2},{"info":"compute binary expreesion, left_input=2954, right_input=3454, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute binary expreesion, left_input=-786, right_input=434, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3463≒∊≴∭⊉31333⊨≴∭⊉11420⊱⇼⊻≴∭⊉13033=≴∭⊉-336","reverse_text":"≴∭⊉-336=≴∭⊉3463≒∊≴∭⊉31333⊨≴∭⊉11420⊱⇼⊻≴∭⊉13033","cot":[{"info":"≴∭⊉3463≒∊≴∭⊉31333=≴∭⊉-2202","layer":1},{"info":"≴∭⊉11420⊱⇼⊻≴∭⊉13033=≴∭⊉1160","layer":1},{"info":"≴∭⊉-2202⊨≴∭⊉1160=≴∭⊉-336","layer":0}]}
+{"id":78,"expression_no_base_symbol":"($1246$⊘)≁($1537$⊢)","expression":"(≴∭⊉3430⊘)≁(≴∭⊉4324⊢)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1246,"base":7}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1537,"base":7}}},"used_operators":["8N2wDY1A35","gu96TGCTMs","40aOVDgCDB"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1246","layer":2},{"info":"compute unary expreesion, input=1246, 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=1537","layer":2},{"info":"compute unary expreesion, input=1537, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1784","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1784, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3430⊘)≁(≴∭⊉4324⊢)=NaN","reverse_text":"NaN=(≴∭⊉3430⊘)≁(≴∭⊉4324⊢)","cot":[{"info":"≴∭⊉3430⊘=≴∭⊉0","layer":1},{"info":"≴∭⊉4324⊢=≴∭⊉-5126","layer":1},{"info":"≴∭⊉0≁≴∭⊉-5126=NaN","layer":0}]}
+{"id":79,"expression_no_base_symbol":"$1036$⋛$2668$⋳⪒$3949$⪢$3396$","expression":"≴∭⊉3010⋛≴∭⊉10531⋳⪒≴∭⊉14341⪢≴∭⊉12621","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9658,"operation_count":3,"complexity_ratio":3219.3333333333335,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1036,"base":7},"right_expr":{"type":"numeric_atoms","value":2668,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3949,"base":7},"right_expr":{"type":"numeric_atoms","value":3396,"base":7}}},"used_operators":["12rbrZMWeM","YbUVn0Rbpy","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=2668","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=2668, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122868","layer":1},{"info":"number node, value=3949","layer":2},{"info":"number node, value=3396","layer":2},{"info":"compute binary expreesion, left_input=3949, right_input=3396, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-122868, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3010⋛≴∭⊉10531⋳⪒≴∭⊉14341⪢≴∭⊉12621=NaN","reverse_text":"NaN=≴∭⊉3010⋛≴∭⊉10531⋳⪒≴∭⊉14341⪢≴∭⊉12621","cot":[{"info":"≴∭⊉3010⋛��∭⊉10531=≴∭⊉-1021134","layer":1},{"info":"≴∭⊉14341⪢≴∭⊉12621=NaN","layer":1},{"info":"≴∭⊉-1021134⋳⪒NaN=NaN","layer":0}]}
+{"id":80,"expression_no_base_symbol":"≅≯⇸($3310$⇪⋭)","expression":"≅≯⇸(≴∭⊉12436⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3310,"base":7}}},"used_operators":["apS25hmuAe","Z8Yg6dlDSp"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3310","layer":2},{"info":"compute unary expreesion, input=3310, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≅≯⇸(≴∭⊉12436⇪⋭)=NaN","reverse_text":"NaN=≅≯⇸(≴∭⊉12436⇪⋭)","cot":[{"info":"≴∭⊉12436⇪⋭=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
+{"id":81,"expression_no_base_symbol":"($1076$⋻⩜⩜$1554$)⨔≚≋$1758$⫁⪎$4245$","expression":"(≴∭⊉3065⋻⩜⩜≴∭⊉4350)⨔≚≋≴∭⊉5061⫁⪎≴∭⊉15243","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21813,"operation_count":3,"complexity_ratio":7271.0,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1076,"base":7},"right_expr":{"type":"numeric_atoms","value":1554,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1758,"base":7},"right_expr":{"type":"numeric_atoms","value":4245,"base":7}}},"used_operators":["Z57zeUYC9z","oDCm7WA9JY","xRrnTEsQ6j"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≴∭⊉40532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":2},{"info":"number node, value=1554","layer":2},{"info":"compute binary expreesion, left_input=1076, right_input=1554, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2152","layer":1},{"info":"number node, value=1758","layer":2},{"info":"number node, value=4245","layer":2},{"info":"compute binary expreesion, left_input=1758, right_input=4245, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2487","layer":1},{"info":"compute binary expreesion, left_input=2152, right_input=-2487, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3065⋻⩜⩜≴∭⊉4350)⨔≚≋≴∭⊉5061⫁⪎≴∭⊉15243=≴∭⊉40532","reverse_text":"≴∭⊉40532=(≴∭⊉3065⋻⩜⩜≴∭⊉4350)⨔≚≋≴∭⊉5061⫁⪎≴∭⊉15243","cot":[{"info":"≴∭⊉3065⋻⩜⩜≴∭⊉4350=≴∭⊉6163","layer":1},{"info":"≴∭⊉5061⫁⪎≴∭⊉15243=≴∭⊉-10152","layer":1},{"info":"≴∭⊉6163⨔≚≋≴∭⊉-10152=≴∭⊉40532","layer":0}]}
+{"id":82,"expression_no_base_symbol":"(⇤←$2248$)⨸(↸⊣$3718$)","expression":"(⇤←≴∭⊉6361)⨸(↸⊣≴∭⊉13561)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10050,"operation_count":3,"complexity_ratio":3350.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2248,"base":7}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3718,"base":7}}},"used_operators":["KmoU8R5UQR","jfAgQ2OQeM","wztAlM01eG"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"≴∭⊉1534340","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":2},{"info":"compute unary expreesion, input=2248, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-9874","layer":1},{"info":"number node, value=3718","layer":2},{"info":"compute unary expreesion, input=3718, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3431","layer":1},{"info":"compute binary expreesion, left_input=-9874, right_input=-3431, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=210434","layer":0}],"base":7,"result_base":7,"text":"(⇤←≴∭⊉6361)⨸(↸⊣≴∭⊉13561)=≴∭⊉1534340","reverse_text":"≴∭⊉1534340=(⇤←≴∭⊉6361)⨸(↸⊣≴∭⊉13561)","cot":[{"info":"⇤←≴∭⊉6361=≴∭⊉-40534","layer":1},{"info":"↸⊣≴∭⊉13561=≴∭⊉-13001","layer":1},{"info":"≴∭⊉-40534⨸≴∭⊉-13001=≴∭⊉1534340","layer":0}]}
+{"id":83,"expression_no_base_symbol":"$5401$⋕⪉⪜$2287$⊋(⊆⋠$6752$)","expression":"≴∭⊉21514⋕⪉⪜≴∭⊉6445⊋(⊆⋠≴∭⊉25454)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5401,"base":7},"right_expr":{"type":"numeric_atoms","value":2287,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6752,"base":7}}},"used_operators":["W4tP9CfskL","z6LnFrNh4i","EBhcHTkKd8"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"≴∭⊉-21621","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5401","layer":2},{"info":"number node, value=2287","layer":2},{"info":"compute binary expreesion, left_input=5401, right_input=2287, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=6752","layer":2},{"info":"compute unary expreesion, input=6752, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21514⋕⪉⪜≴∭⊉6445⊋(⊆⋠≴∭⊉25454)=≴∭⊉-21621","reverse_text":"≴∭⊉-21621=≴∭⊉21514⋕⪉⪜≴∭⊉6445⊋(⊆⋠≴∭⊉25454)","cot":[{"info":"≴∭⊉21514⋕⪉⪜≴∭⊉6445=≴∭⊉11112","layer":1},{"info":"⊆⋠≴∭⊉25454=≴∭⊉0","layer":1},{"info":"≴∭⊉11112⊋≴∭⊉0=≴∭⊉-21621","layer":0}]}
+{"id":84,"expression_no_base_symbol":"$2920$⊔$3181$∖$3536$⨸$1581$","expression":"≴∭⊉11341⊔≴∭⊉12163∖≴∭⊉13211⨸≴∭⊉4416","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4405,"operation_count":3,"complexity_ratio":1468.3333333333333,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2920,"base":7},"right_expr":{"type":"numeric_atoms","value":3181,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3536,"base":7},"right_expr":{"type":"numeric_atoms","value":1581,"base":7}}},"used_operators":["tXD093vOjl","E4l6HwMY31","KmoU8R5UQR"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":2},{"info":"number node, value=3181","layer":2},{"info":"compute binary expreesion, left_input=2920, right_input=3181, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19345","layer":1},{"info":"number node, value=3536","layer":2},{"info":"number node, value=1581","layer":2},{"info":"compute binary expreesion, left_input=3536, right_input=1581, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7072","layer":1},{"info":"compute binary expreesion, left_input=19345, right_input=7072, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11341⊔≴∭⊉12163∖≴∭⊉13211⨸≴∭⊉4416=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉11341⊔≴∭⊉12163∖≴∭⊉13211⨸≴∭⊉4416","cot":[{"info":"≴∭⊉11341⊔≴∭⊉12163=≴∭⊉110254","layer":1},{"info":"≴∭⊉13211⨸≴∭⊉4416=≴∭⊉26422","layer":1},{"info":"≴∭⊉110254∖≴∭⊉26422=≴∭⊉0","layer":0}]}
+{"id":85,"expression_no_base_symbol":"($4630$⨽$1539$)⋣⋖$2187$≚⊃≕$1559$","expression":"(≴∭⊉16333⨽≴∭⊉4326)⋣⋖≴∭⊉6243≚⊃≕≴∭⊉4355","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8074,"operation_count":3,"complexity_ratio":2691.3333333333335,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4630,"base":7},"right_expr":{"type":"numeric_atoms","value":1539,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2187,"base":7},"right_expr":{"type":"numeric_atoms","value":1559,"base":7}}},"used_operators":["J0M6qkBnIM","8HhzD0ZcuI","Bmrmz2XGnR"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4630","layer":2},{"info":"number node, value=1539","layer":2},{"info":"compute binary expreesion, left_input=4630, right_input=1539, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64314003","layer":1},{"info":"number node, value=2187","layer":2},{"info":"number node, value=1559","layer":2},{"info":"compute binary expreesion, left_input=2187, right_input=1559, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-64314003, right_input=67, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16333⨽≴∭⊉4326)⋣⋖≴∭⊉6243≚⊃≕≴∭⊉4355=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=(≴∭⊉16333⨽≴∭⊉4326)⋣⋖≴∭⊉6243≚⊃≕≴∭⊉4355","cot":[{"info":"≴∭⊉16333⨽≴∭⊉4326=≴∭⊉-1410442245","layer":1},{"info":"≴∭⊉6243≚⊃≕≴∭⊉4355=≴∭⊉124","layer":1},{"info":"≴∭⊉-1410442245⋣⋖≴∭⊉124=≴∭⊉-1352","layer":0}]}
+{"id":86,"expression_no_base_symbol":"($8059$∛$1977$)↓⨍⋜","expression":"(≴∭⊉32332∛≴∭⊉5523)↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":367,"operation_count":2,"complexity_ratio":183.5,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":8059,"base":7},"right_expr":{"type":"numeric_atoms","value":1977,"base":7}}},"used_operators":["3DVzLFNsE9","w2537kitQq"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉163242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8059","layer":2},{"info":"number node, value=1977","layer":2},{"info":"compute binary expreesion, left_input=8059, right_input=1977, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute unary expreesion, input=-670, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=32370","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32332∛≴∭⊉5523)↓⨍⋜=≴∭⊉163242","reverse_text":"≴∭⊉163242=(≴∭⊉32332∛≴∭⊉5523)↓⨍⋜","cot":[{"info":"≴∭⊉32332∛≴∭⊉5523=≴∭⊉-1645","layer":1},{"info":"≴∭⊉-1645↓⨍⋜=≴∭⊉163242","layer":0}]}
+{"id":87,"expression_no_base_symbol":"($1708$∛≔)⊕∕(↓⇌$1073$)","expression":"(≴∭⊉4660∛≔)⊕∕(↓⇌≴∭⊉3062)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7195,"operation_count":3,"complexity_ratio":2398.3333333333335,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1708,"base":7}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1073,"base":7}}},"used_operators":["9cloC0Ngie","mGnSCrte3L","PxpmPgHHJV"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"≴∭⊉-6601600046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":2},{"info":"compute unary expreesion, input=1708, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-276928973","layer":1},{"info":"number node, value=1073","layer":2},{"info":"compute unary expreesion, input=1073, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1073","layer":1},{"info":"compute binary expreesion, left_input=-276928973, right_input=1073, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-276928973","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4660∛≔)⊕∕(↓⇌≴∭⊉3062)=≴∭⊉-6601600046","reverse_text":"≴∭⊉-6601600046=(≴∭⊉4660∛≔)⊕∕(↓⇌≴∭⊉3062)","cot":[{"info":"≴∭⊉4660∛≔=≴∭⊉-6601600046","layer":1},{"info":"↓⇌≴∭⊉3062=≴∭⊉3062","layer":1},{"info":"≴∭⊉-6601600046⊕∕≴∭⊉3062=≴∭⊉-6601600046","layer":0}]}
+{"id":88,"expression_no_base_symbol":"(⪸$1389$)⪡(⨙⪌$6690$)","expression":"(⪸≴∭⊉4023)⪡(⨙⪌≴∭⊉25335)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":945,"operation_count":3,"complexity_ratio":315.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1389,"base":7}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6690,"base":7}}},"used_operators":["oraRL2iQuh","86A5ENbKR9","vEGLkm4Z2k"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"≴∭⊉256201","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":2},{"info":"compute unary expreesion, input=1389, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-23404","layer":1},{"info":"number node, value=6690","layer":2},{"info":"compute unary expreesion, input=6690, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-23404, right_input=868, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=47776","layer":0}],"base":7,"result_base":7,"text":"(⪸≴∭⊉4023)⪡(⨙⪌≴∭⊉25335)=≴∭⊉256201","reverse_text":"≴∭⊉256201=(⪸≴∭⊉4023)⪡(⨙⪌≴∭⊉25335)","cot":[{"info":"⪸≴∭⊉4023=≴∭⊉-125143","layer":1},{"info":"⨙⪌≴∭⊉25335=≴∭⊉2350","layer":1},{"info":"≴∭⊉-125143⪡≴∭⊉2350=≴∭⊉256201","layer":0}]}
+{"id":89,"expression_no_base_symbol":"($1029$⪔$1780$)⪣⫩","expression":"(≴∭⊉3000⪔≴∭⊉5122)⪣⫩","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1883,"operation_count":2,"complexity_ratio":941.5,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1029,"base":7},"right_expr":{"type":"numeric_atoms","value":1780,"base":7}}},"used_operators":["iuk5sVOGFA","GjBEYRfMaF"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"≴∭⊉-2550","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":2},{"info":"number node, value=1780","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=1780, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute unary expreesion, input=450, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=-966","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3000⪔≴∭⊉5122)⪣⫩=≴∭⊉-2550","reverse_text":"≴∭⊉-2550=(≴∭⊉3000⪔≴∭⊉5122)⪣⫩","cot":[{"info":"≴∭⊉3000⪔≴∭⊉5122=≴∭⊉1212","layer":1},{"info":"≴∭⊉1212⪣⫩=≴∭⊉-2550","layer":0}]}
+{"id":90,"expression_no_base_symbol":"$2164$↡⊰⫅$4247$≬⋮$1682$∇⊂⋱$1715$","expression":"≴∭⊉6211↡⊰⫅≴∭⊉15245≬⋮≴∭⊉4622∇⊂⋱≴∭⊉5000","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":59499,"operation_count":3,"complexity_ratio":19833.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2164,"base":7},"right_expr":{"type":"numeric_atoms","value":4247,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1682,"base":7},"right_expr":{"type":"numeric_atoms","value":1715,"base":7}}},"used_operators":["kbkesczE7y","VCtxkLNOzz","nhYeJWJD5X"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2164","layer":2},{"info":"number node, value=4247","layer":2},{"info":"compute binary expreesion, left_input=2164, right_input=4247, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8494","layer":1},{"info":"number node, value=1682","layer":2},{"info":"number node, value=1715","layer":2},{"info":"compute binary expreesion, left_input=1682, right_input=1715, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2818","layer":1},{"info":"compute binary expreesion, left_input=8494, right_input=2818, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6211↡⊰⫅≴∭⊉15245≬⋮≴∭⊉4622∇⊂⋱≴∭⊉5000=≴∭⊉2350","reverse_text":"≴∭⊉2350=≴∭⊉6211↡⊰⫅≴∭⊉15245≬⋮≴∭⊉4622∇⊂⋱≴∭⊉5000","cot":[{"info":"≴∭⊉6211↡⊰⫅≴∭⊉15245=≴∭⊉33523","layer":1},{"info":"≴∭⊉4622∇⊂⋱≴∭⊉5000=≴∭⊉11134","layer":1},{"info":"≴∭⊉33523≬⋮≴∭⊉11134=≴∭⊉2350","layer":0}]}
+{"id":91,"expression_no_base_symbol":"$5378$⇷$4141$⪛⫼$3830$⋥⋵⩄$5042$","expression":"≴∭⊉21452⇷≴∭⊉15034⪛⫼≴∭⊉14111⋥⋵⩄≴∭⊉20462","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75565,"operation_count":3,"complexity_ratio":25188.333333333332,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5378,"base":7},"right_expr":{"type":"numeric_atoms","value":4141,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3830,"base":7},"right_expr":{"type":"numeric_atoms","value":5042,"base":7}}},"used_operators":["hyuBjUqXlG","mp7IySMOzn","7t3wd0Fuz7"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5378","layer":2},{"info":"number node, value=4141","layer":2},{"info":"compute binary expreesion, left_input=5378, right_input=4141, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8282","layer":1},{"info":"number node, value=3830","layer":2},{"info":"number node, value=5042","layer":2},{"info":"compute binary expreesion, left_input=3830, right_input=5042, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=8282, right_input=113, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21452⇷≴∭⊉15034⪛⫼≴∭⊉14111⋥⋵⩄≴∭⊉20462=≴∭⊉2552","reverse_text":"≴∭⊉2552=≴∭⊉21452⇷≴∭⊉15034⪛⫼≴∭⊉14111⋥⋵⩄≴∭⊉20462","cot":[{"info":"≴∭⊉21452⇷≴∭⊉15034=≴∭⊉33101","layer":1},{"info":"≴∭⊉14111⋥⋵⩄≴∭⊉20462=≴∭⊉221","layer":1},{"info":"≴∭⊉33101⪛⫼≴∭⊉221=≴∭⊉2552","layer":0}]}
+{"id":92,"expression_no_base_symbol":"(⨞⊢$2579$)⋘⨑⨽","expression":"(⨞⊢≴∭⊉10343)⋘⨑⨽","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2579,"base":7}}},"used_operators":["WmT3o8z6ya","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-52564","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2579","layer":2},{"info":"compute unary expreesion, input=2579, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2753","layer":1},{"info":"compute unary expreesion, input=-2753, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-12982","layer":0}],"base":7,"result_base":7,"text":"(⨞⊢≴∭⊉10343)⋘⨑⨽=≴∭⊉-52564","reverse_text":"≴∭⊉-52564=(⨞⊢≴∭⊉10343)⋘⨑⨽","cot":[{"info":"⨞⊢≴∭⊉10343=≴∭⊉-11012","layer":1},{"info":"≴∭⊉-11012⋘⨑⨽=≴∭⊉-52564","layer":0}]}
+{"id":93,"expression_no_base_symbol":"($1793$*$1372$)⇄($1950$⋅⇍$3419$)","expression":"(≴∭⊉5141*≴∭⊉4000)⇄(≴∭⊉5454⋅⇍≴∭⊉12653)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1381,"operation_count":3,"complexity_ratio":460.3333333333333,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1793,"base":7},"right_expr":{"type":"numeric_atoms","value":1372,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1950,"base":7},"right_expr":{"type":"numeric_atoms","value":3419,"base":7}}},"used_operators":["3EYGwJThht","9HNa5Wba9A","AdZkA7nFnk"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1793","layer":2},{"info":"number node, value=1372","layer":2},{"info":"compute binary expreesion, left_input=1793, right_input=1372, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2459996","layer":1},{"info":"number node, value=1950","layer":2},{"info":"number node, value=3419","layer":2},{"info":"compute binary expreesion, left_input=1950, right_input=3419, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=2459996, right_input=-22, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5141*≴∭⊉4000)⇄(≴∭⊉5454⋅⇍≴∭⊉12653)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉5141*≴∭⊉4000)⇄(≴∭⊉5454⋅⇍≴∭⊉12653)","cot":[{"info":"≴∭⊉5141*≴∭⊉4000=≴∭⊉26624000","layer":1},{"info":"≴∭⊉5454⋅⇍≴∭⊉12653=≴∭⊉-31","layer":1},{"info":"≴∭⊉26624000⇄≴∭⊉-31=≴∭⊉0","layer":0}]}
+{"id":94,"expression_no_base_symbol":"(↞≼$1384$)≎⪠($6972$≧⫂∧$6421$)","expression":"(↞≼≴∭⊉4015)≎⪠(≴∭⊉26220≧⫂∧≴∭⊉24502)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19121,"operation_count":3,"complexity_ratio":6373.666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1384,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6972,"base":7},"right_expr":{"type":"numeric_atoms","value":6421,"base":7}}},"used_operators":["aNhz54LH3e","DE7zCoGJt9","Ph9nP6C5qx"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1384","layer":2},{"info":"compute unary expreesion, input=1384, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10658","layer":1},{"info":"number node, value=6972","layer":2},{"info":"number node, value=6421","layer":2},{"info":"compute binary expreesion, left_input=6972, right_input=6421, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5948","layer":1},{"info":"compute binary expreesion, left_input=10658, right_input=5948, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(↞≼≴∭⊉4015)≎⪠(≴∭⊉26220≧⫂∧≴∭⊉24502)=≴∭⊉111010","reverse_text":"≴∭⊉111010=(↞≼≴∭⊉4015)≎⪠(≴∭⊉26220≧⫂∧≴∭⊉24502)","cot":[{"info":"↞≼≴∭⊉4015=≴∭⊉43034","layer":1},{"info":"≴∭⊉26220≧⫂∧≴∭⊉24502=≴∭⊉23225","layer":1},{"info":"≴∭⊉43034≎⪠≴∭⊉23225=≴∭⊉111010","layer":0}]}
+{"id":95,"expression_no_base_symbol":"$4713$↡⊰⫅$8294$∪⫐(⪡⇡≛$1859$)","expression":"≴∭⊉16512↡⊰⫅≴∭⊉33116∪⫐(⪡⇡≛≴∭⊉5264)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":116167,"operation_count":3,"complexity_ratio":38722.333333333336,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4713,"base":7},"right_expr":{"type":"numeric_atoms","value":8294,"base":7}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1859,"base":7}}},"used_operators":["7YooWSwCyH","VCtxkLNOzz","qL4PrbW1Dq"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"≴∭⊉66235","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4713","layer":2},{"info":"number node, value=8294","layer":2},{"info":"compute binary expreesion, left_input=4713, right_input=8294, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=16588","layer":1},{"info":"number node, value=1859","layer":2},{"info":"compute unary expreesion, input=1859, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1859","layer":1},{"info":"compute binary expreesion, left_input=16588, right_input=-1859, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=16588","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16512↡⊰⫅≴∭⊉33116∪⫐(⪡⇡≛≴∭⊉5264)=≴∭⊉66235","reverse_text":"≴∭⊉66235=≴∭⊉16512↡⊰⫅≴∭⊉33116∪⫐(⪡⇡≛≴∭⊉5264)","cot":[{"info":"≴∭⊉16512↡⊰⫅≴∭⊉33116=≴∭⊉66235","layer":1},{"info":"⪡⇡≛≴∭⊉5264=≴∭⊉-5264","layer":1},{"info":"≴∭⊉66235∪⫐≴∭⊉-5264=≴∭⊉66235","layer":0}]}
+{"id":96,"expression_no_base_symbol":"($2592$↸$1775$)⫯⪬∳$1089$↓$3903$","expression":"(≴∭⊉10362↸≴∭⊉5114)⫯⪬∳≴∭⊉3114↓≴∭⊉14244","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56729,"operation_count":3,"complexity_ratio":18909.666666666668,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2592,"base":7},"right_expr":{"type":"numeric_atoms","value":1775,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1089,"base":7},"right_expr":{"type":"numeric_atoms","value":3903,"base":7}}},"used_operators":["d7ASUq0ydm","1eCjFl0mb9","Af076pWI7l"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉53162","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2592","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=2592, right_input=1775, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2592","layer":1},{"info":"number node, value=1089","layer":2},{"info":"number node, value=3903","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=3903, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=2592, right_input=-134, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13127","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10362↸≴∭⊉5114)⫯⪬∳≴∭⊉3114↓≴∭⊉14244=≴∭⊉53162","reverse_text":"≴∭⊉53162=(≴∭⊉10362↸≴∭⊉5114)⫯⪬∳≴∭⊉3114↓≴∭⊉14244","cot":[{"info":"≴∭⊉10362↸≴∭⊉5114=≴∭⊉10362","layer":1},{"info":"≴∭⊉3114↓≴∭⊉14244=≴∭⊉-251","layer":1},{"info":"≴∭⊉10362⫯⪬∳≴∭⊉-251=≴∭⊉53162","layer":0}]}
+{"id":97,"expression_no_base_symbol":"$7397$⊔$4972$≒∊($1024$⩨$4546$)","expression":"≴∭⊉30365⊔≴∭⊉20332≒∊(≴∭⊉2662⩨≴∭⊉16153)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":7397,"base":7},"right_expr":{"type":"numeric_atoms","value":4972,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1024,"base":7},"right_expr":{"type":"numeric_atoms","value":4546,"base":7}}},"used_operators":["5KTvxBwnZo","E4l6HwMY31","2DlMacCsIx"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≴∭⊉-212126","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7397","layer":2},{"info":"number node, value=4972","layer":2},{"info":"compute binary expreesion, left_input=7397, right_input=4972, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37254","layer":1},{"info":"number node, value=1024","layer":2},{"info":"number node, value=4546","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=4546, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":1},{"info":"compute binary expreesion, left_input=37254, right_input=-12, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-36770","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉30365⊔≴∭⊉20332≒∊(≴∭⊉2662⩨≴∭⊉16153)=≴∭⊉-212126","reverse_text":"≴∭⊉-212126=≴∭⊉30365⊔≴∭⊉20332≒∊(≴∭⊉2662⩨≴∭⊉16153)","cot":[{"info":"≴∭⊉30365⊔≴∭⊉20332=≴∭⊉213420","layer":1},{"info":"≴∭⊉2662⩨≴∭⊉16153=≴∭⊉-15","layer":1},{"info":"≴∭⊉213420≒∊≴∭⊉-15=≴∭⊉-212126","layer":0}]}
+{"id":98,"expression_no_base_symbol":"($4186$⇗⋫)⩦($1034$∘$1020$)","expression":"(≴∭⊉15130⇗⋫)⩦(≴∭⊉3005∘≴∭⊉2655)","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":4186,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1034,"base":7},"right_expr":{"type":"numeric_atoms","value":1020,"base":7}}},"used_operators":["0kmYd0q39Y","hpqmaQFPrd","Z5m6OM72h2"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rxpJgHHUmx","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4186","layer":2},{"info":"compute unary expreesion, input=4186, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=1034","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=1020, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2068","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2068, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15130⇗⋫)⩦(≴∭⊉3005∘≴∭⊉2655)=NaN","reverse_text":"NaN=(≴∭⊉15130⇗⋫)⩦(≴∭⊉3005∘≴∭⊉2655)","cot":[{"info":"≴∭⊉15130⇗⋫=NaN","layer":1},{"info":"≴∭⊉3005∘≴∭⊉2655=≴∭⊉6013","layer":1},{"info":"NaN⩦≴∭⊉6013=NaN","layer":0}]}
+{"id":99,"expression_no_base_symbol":"$1776$↢$3709$⫃⨇$2685$⊔$8868$","expression":"≴∭⊉5115↢≴∭⊉13546⫃⨇≴∭⊉10554⊔≴∭⊉34566","highest_n_order":1,"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":1776,"base":7},"right_expr":{"type":"numeric_atoms","value":3709,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2685,"base":7},"right_expr":{"type":"numeric_atoms","value":8868,"base":7}}},"used_operators":["09Ly4LVMIf","WR6HLWljOP","E4l6HwMY31"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-1415546","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1776","layer":2},{"info":"number node, value=3709","layer":2},{"info":"compute binary expreesion, left_input=1776, right_input=3709, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1292","layer":1},{"info":"number node, value=2685","layer":2},{"info":"number node, value=8868","layer":2},{"info":"compute binary expreesion, left_input=2685, right_input=8868, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=47310","layer":1},{"info":"compute binary expreesion, left_input=1292, right_input=47310, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-189272","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5115↢≴∭⊉13546⫃⨇≴∭⊉10554⊔≴∭⊉34566=≴∭⊉-1415546","reverse_text":"≴∭⊉-1415546=≴∭⊉5115↢≴∭⊉13546⫃⨇≴∭⊉10554⊔≴∭⊉34566","cot":[{"info":"≴∭⊉5115↢≴∭⊉13546=≴∭⊉3524","layer":1},{"info":"≴∭⊉10554⊔≴∭⊉34566=≴∭⊉254634","layer":1},{"info":"≴∭⊉3524⫃⨇≴∭⊉254634=≴∭⊉-1415546","layer":0}]}
+{"id":100,"expression_no_base_symbol":"(⋃$1787$)⋳⪒($2385$⊢)","expression":"(⋃≴∭⊉5132)⋳⪒(≴∭⊉6645⊢)","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":1787,"base":7}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2385,"base":7}}},"used_operators":["12rbrZMWeM","3mBM5G4a3l","40aOVDgCDB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D"],"result":"≴∭⊉40162","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"compute unary expreesion, input=1787, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3676","layer":1},{"info":"number node, value=2385","layer":2},{"info":"compute unary expreesion, input=2385, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2632","layer":1},{"info":"compute binary expreesion, left_input=3676, right_input=-2632, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9697","layer":0}],"base":7,"result_base":7,"text":"(⋃≴∭⊉5132)⋳⪒(≴∭⊉6645⊢)=≴∭⊉40162","reverse_text":"≴∭⊉40162=(⋃≴∭⊉5132)⋳⪒(≴∭⊉6645⊢)","cot":[{"info":"⋃≴∭⊉5132=≴∭⊉13501","layer":1},{"info":"≴∭⊉6645⊢=≴∭⊉-10450","layer":1},{"info":"≴∭⊉13501⋳⪒≴∭⊉-10450=≴∭⊉40162","layer":0}]}
+{"id":101,"expression_no_base_symbol":"($1219$≃$6390$)⩁⩘($3329$∙∹∝$1803$)","expression":"(≴∭⊉3361≃≴∭⊉24426)⩁⩘(≴∭⊉12464∙∹∝≴∭⊉5154)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1219,"base":7},"right_expr":{"type":"numeric_atoms","value":6390,"base":7}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3329,"base":7},"right_expr":{"type":"numeric_atoms","value":1803,"base":7}}},"used_operators":["gub5Cegaqo","YbVcJGFEVW","HmxsFra2vL"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"number node, value=6390","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=6390, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4916","layer":1},{"info":"number node, value=3329","layer":2},{"info":"number node, value=1803","layer":2},{"info":"compute binary expreesion, left_input=3329, right_input=1803, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-4916, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3361≃≴∭⊉24426)⩁⩘(≴∭⊉12464∙∹∝≴∭⊉5154)=NaN","reverse_text":"NaN=(≴∭⊉3361≃≴∭⊉24426)⩁⩘(≴∭⊉12464∙∹∝≴∭⊉5154)","cot":[{"info":"≴∭⊉3361≃≴∭⊉24426=≴∭⊉-20222","layer":1},{"info":"≴∭⊉12464∙∹∝≴∭⊉5154=≴∭⊉0","layer":1},{"info":"≴∭⊉-20222⩁⩘≴∭⊉0=NaN","layer":0}]}
+{"id":102,"expression_no_base_symbol":"$2594$≓∲$1863$∙∹∝(≇⪴$2551$)","expression":"≴∭⊉10364≓∲≴∭⊉5301∙∹∝(≇⪴≴∭⊉10303)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2594,"base":7},"right_expr":{"type":"numeric_atoms","value":1863,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2551,"base":7}}},"used_operators":["HmxsFra2vL","s1XTVnmDOJ","zoVPnxeHJ3"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2594","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=2594, right_input=1863, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=26723","layer":1},{"info":"number node, value=2551","layer":2},{"info":"compute unary expreesion, input=2551, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6313","layer":1},{"info":"compute binary expreesion, left_input=26723, right_input=-6313, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10364≓∲≴∭⊉5301∙∹∝(≇⪴≴∭⊉10303)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉10364≓∲≴∭⊉5301∙∹∝(≇⪴≴∭⊉10303)","cot":[{"info":"≴∭⊉10364≓∲≴∭⊉5301=≴∭⊉140624","layer":1},{"info":"≇⪴≴∭⊉10303=≴∭⊉-24256","layer":1},{"info":"≴∭⊉140624∙∹∝≴∭⊉-24256=≴∭⊉0","layer":0}]}
+{"id":103,"expression_no_base_symbol":"($1852$⊍⩺⋍$1044$)⨱∎","expression":"(≴∭⊉5254⊍⩺⋍≴∭⊉3021)⨱∎","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":209,"operation_count":2,"complexity_ratio":104.5,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1852,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}}},"used_operators":["MmTdOpaElr","OXDGMFPWZM"],"dependent_operators":["tifHPKVTfV","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1852","layer":2},{"info":"number node, value=1044","layer":2},{"info":"compute binary expreesion, left_input=1852, right_input=1044, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5254⊍⩺⋍≴∭⊉3021)⨱∎=NaN","reverse_text":"NaN=(≴∭⊉5254⊍⩺⋍≴∭⊉3021)⨱∎","cot":[{"info":"≴∭⊉5254⊍⩺⋍≴∭⊉3021=NaN","layer":1},{"info":"NaN⨱∎=NaN","layer":0}]}
+{"id":104,"expression_no_base_symbol":"(⊙↵-$5862$)⊬⨰(↘$2424$)","expression":"(⊙↵-≴∭⊉23043)⊬⨰(↘≴∭⊉10032)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5925,"operation_count":3,"complexity_ratio":1975.0,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5862,"base":7}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2424,"base":7}}},"used_operators":["s3Fd5m9Dh2","oWn0xqSxBt","LdNpr8hQHL"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","uFcxV4UQCh"],"result":"≴∭⊉556","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5862","layer":2},{"info":"compute unary expreesion, input=5862, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2424","layer":2},{"info":"compute unary expreesion, input=2424, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=72","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=72, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=286","layer":0}],"base":7,"result_base":7,"text":"(⊙↵-≴∭⊉23043)⊬⨰(↘≴∭⊉10032)=≴∭⊉556","reverse_text":"≴∭⊉556=(⊙↵-≴∭⊉23043)⊬⨰(↘≴∭⊉10032)","cot":[{"info":"⊙↵-≴∭⊉23043=≴∭⊉-1","layer":1},{"info":"↘≴∭⊉10032=≴∭⊉132","layer":1},{"info":"≴∭⊉-1⊬⨰≴∭⊉132=≴∭⊉556","layer":0}]}
+{"id":105,"expression_no_base_symbol":"$3276$⨸$2415$⊝⪿⪼(⊆⋠$5341$)","expression":"≴∭⊉12360⨸≴∭⊉10020⊝⪿⪼(⊆⋠≴∭⊉21400)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3440,"operation_count":3,"complexity_ratio":1146.6666666666667,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3276,"base":7},"right_expr":{"type":"numeric_atoms","value":2415,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5341,"base":7}}},"used_operators":["3Oe9XWJUTD","KmoU8R5UQR","EBhcHTkKd8"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"≴∭⊉544012","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3276","layer":2},{"info":"number node, value=2415","layer":2},{"info":"compute binary expreesion, left_input=3276, right_input=2415, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6552","layer":1},{"info":"number node, value=5341","layer":2},{"info":"compute unary expreesion, input=5341, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6552, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=95020","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12360⨸≴∭⊉10020⊝⪿⪼(⊆⋠≴∭⊉21400)=≴∭⊉544012","reverse_text":"≴∭⊉544012=≴∭⊉12360⨸≴∭⊉10020⊝⪿⪼(⊆⋠≴∭⊉21400)","cot":[{"info":"≴∭⊉12360⨸≴∭⊉10020=≴∭⊉25050","layer":1},{"info":"⊆⋠≴∭⊉21400=≴∭⊉0","layer":1},{"info":"≴∭⊉25050⊝⪿⪼≴∭⊉0=≴∭⊉544012","layer":0}]}
+{"id":106,"expression_no_base_symbol":"$1708$↹⊜$2056$≚⊃≕($2566$⨐⩸⫘$2875$)","expression":"≴∭⊉4660↹⊜≴∭⊉5665≚⊃≕(≴∭⊉10324⨐⩸⫘≴∭⊉11245)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1708,"base":7},"right_expr":{"type":"numeric_atoms","value":2056,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2566,"base":7},"right_expr":{"type":"numeric_atoms","value":2875,"base":7}}},"used_operators":["Bmrmz2XGnR","9bazX3JMtO","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":2},{"info":"number node, value=2056","layer":2},{"info":"compute binary expreesion, left_input=1708, right_input=2056, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-4904","layer":1},{"info":"number node, value=2566","layer":2},{"info":"number node, value=2875","layer":2},{"info":"compute binary expreesion, left_input=2566, right_input=2875, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-4904, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4660↹⊜≴∭⊉5665≚⊃≕(≴∭⊉10324⨐⩸⫘≴∭⊉11245)=NaN","reverse_text":"NaN=≴∭⊉4660↹⊜≴∭⊉5665≚⊃≕(≴∭⊉10324⨐⩸⫘≴∭⊉11245)","cot":[{"info":"≴∭⊉4660↹⊜≴∭⊉5665=≴∭⊉-20204","layer":1},{"info":"≴∭⊉10324⨐⩸⫘≴∭⊉11245=NaN","layer":1},{"info":"≴∭⊉-20204≚⊃≕NaN=NaN","layer":0}]}
+{"id":107,"expression_no_base_symbol":"$2418$⩣⫁∢$3358$⇗⋫","expression":"≴∭⊉10023⩣⫁∢≴∭⊉12535⇗⋫","highest_n_order":5,"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":2418,"base":7},"right_expr":{"type":"numeric_atoms","value":3358,"base":7}}},"used_operators":["hpqmaQFPrd","JDUIKTTSIa"],"dependent_operators":["rxpJgHHUmx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":2},{"info":"number node, value=3358","layer":2},{"info":"compute binary expreesion, left_input=2418, right_input=3358, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4675","layer":1},{"info":"compute unary expreesion, input=-4675, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10023⩣⫁∢≴∭⊉12535⇗⋫=NaN","reverse_text":"NaN=≴∭⊉10023⩣⫁∢≴∭⊉12535⇗⋫","cot":[{"info":"≴∭⊉10023⩣⫁∢≴∭⊉12535=≴∭⊉-16426","layer":1},{"info":"≴∭⊉-16426⇗⋫=NaN","layer":0}]}
+{"id":108,"expression_no_base_symbol":"($2190$⨑≵⋬$3542$)⩺⪪($1051$⊊)","expression":"(≴∭⊉6246⨑≵⋬≴∭⊉13220)⩺⪪(≴∭⊉3031⊊)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":375,"operation_count":3,"complexity_ratio":125.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2190,"base":7},"right_expr":{"type":"numeric_atoms","value":3542,"base":7}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"used_operators":["uvdQJvN4PV","XnXgA4xnOs","W9R8I5fN5A"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"≴∭⊉-5205","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":2},{"info":"number node, value=3542","layer":2},{"info":"compute binary expreesion, left_input=2190, right_input=3542, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-12465","layer":1},{"info":"number node, value=1051","layer":2},{"info":"compute unary expreesion, input=1051, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":1},{"info":"compute binary expreesion, left_input=-12465, right_input=90927, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6246⨑≵⋬≴∭⊉13220)⩺⪪(≴∭⊉3031⊊)=≴∭⊉-5205","reverse_text":"≴∭⊉-5205=(≴∭⊉6246⨑≵⋬≴∭⊉13220)⩺⪪(≴∭⊉3031⊊)","cot":[{"info":"≴∭⊉6246⨑≵⋬≴∭⊉13220=≴∭⊉-51225","layer":1},{"info":"≴∭⊉3031⊊=≴∭⊉526044","layer":1},{"info":"≴∭⊉-51225⩺⪪≴∭⊉526044=≴∭⊉-5205","layer":0}]}
+{"id":109,"expression_no_base_symbol":"($4990$⋣⋖$6013$)↤⩊(⪁⇼$4072$)","expression":"(≴∭⊉20356⋣⋖≴∭⊉23350)↤⩊(⪁⇼≴∭⊉14605)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":182,"operation_count":3,"complexity_ratio":60.666666666666664,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4990,"base":7},"right_expr":{"type":"numeric_atoms","value":6013,"base":7}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":4072,"base":7}}},"used_operators":["13rbtpv6ld","J0M6qkBnIM","ZNVVrZ94lY"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4990","layer":2},{"info":"number node, value=6013","layer":2},{"info":"compute binary expreesion, left_input=4990, right_input=6013, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4990","layer":1},{"info":"number node, value=4072","layer":2},{"info":"compute unary expreesion, input=4072, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=4990, right_input=422, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20356⋣⋖≴∭⊉23350)↤⩊(⪁⇼≴∭⊉14605)=NaN","reverse_text":"NaN=(≴∭⊉20356⋣⋖≴∭⊉23350)↤⩊(⪁⇼≴∭⊉14605)","cot":[{"info":"≴∭⊉20356⋣⋖≴∭⊉23350=≴∭⊉20356","layer":1},{"info":"⪁⇼≴∭⊉14605=≴∭⊉1142","layer":1},{"info":"≴∭⊉20356↤⩊≴∭⊉1142=NaN","layer":0}]}
+{"id":110,"expression_no_base_symbol":"($6619$↙$1406$)+⪬∐($1279$⫸⊐$1189$)","expression":"(≴∭⊉25204↙≴∭⊉4046)+⪬∐(≴∭⊉3505⫸��≴∭⊉3316)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1436,"operation_count":3,"complexity_ratio":478.6666666666667,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6619,"base":7},"right_expr":{"type":"numeric_atoms","value":1406,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":1189,"base":7}}},"used_operators":["2GS7woTJqF","yyfyN0ffXY","mqXw5SEYmG"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉51615","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6619","layer":2},{"info":"number node, value=1406","layer":2},{"info":"compute binary expreesion, left_input=6619, right_input=1406, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4218","layer":1},{"info":"number node, value=1279","layer":2},{"info":"number node, value=1189","layer":2},{"info":"compute binary expreesion, left_input=1279, right_input=1189, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4631","layer":1},{"info":"compute binary expreesion, left_input=-4218, right_input=4631, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=12654","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25204↙≴∭⊉4046)+⪬∐(≴∭⊉3505⫸⊐≴∭⊉3316)=≴∭⊉51615","reverse_text":"≴∭⊉51615=(≴∭⊉25204↙≴∭⊉4046)+⪬∐(≴∭⊉3505⫸⊐≴∭⊉3316)","cot":[{"info":"≴∭⊉25204↙≴∭⊉4046=≴∭⊉-15204","layer":1},{"info":"≴∭⊉3505⫸⊐≴∭⊉3316=≴∭⊉16334","layer":1},{"info":"≴∭⊉-15204+⪬∐≴∭⊉16334=≴∭⊉51615","layer":0}]}
+{"id":111,"expression_no_base_symbol":"($1878$⪚$2185$)⊴⇁⪶","expression":"(≴∭⊉5322⪚≴∭⊉6241)⊴⇁⪶","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4047,"operation_count":2,"complexity_ratio":2023.5,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1878,"base":7},"right_expr":{"type":"numeric_atoms","value":2185,"base":7}}},"used_operators":["oo9mF6JIpo","HrjLwUk87U"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≴∭⊉-150413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":2},{"info":"number node, value=2185","layer":2},{"info":"compute binary expreesion, left_input=1878, right_input=2185, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-970","layer":1},{"info":"compute unary expreesion, input=-970, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-29018","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5322⪚≴∭⊉6241)⊴⇁⪶=≴∭⊉-150413","reverse_text":"≴∭⊉-150413=(≴∭⊉5322⪚≴∭⊉6241)⊴⇁⪶","cot":[{"info":"≴∭⊉5322⪚≴∭⊉6241=≴∭⊉-2554","layer":1},{"info":"≴∭⊉-2554⊴⇁⪶=≴∭⊉-150413","layer":0}]}
+{"id":112,"expression_no_base_symbol":"$2561$⨜⨶$5893$⨰($1732$⊋≦⊧$1225$)","expression":"≴∭⊉10316⨜⨶≴∭⊉23116⨰(≴∭⊉5023⊋≦⊧≴∭⊉3400)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2561,"base":7},"right_expr":{"type":"numeric_atoms","value":5893,"base":7}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1732,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}}},"used_operators":["eewbuw0ToL","HiPekx5b7W","oRDoc9rAEX"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≴∭⊉-36100","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2561","layer":2},{"info":"number node, value=5893","layer":2},{"info":"compute binary expreesion, left_input=2561, right_input=5893, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-11530","layer":1},{"info":"number node, value=1732","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=1732, right_input=1225, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2210","layer":1},{"info":"compute binary expreesion, left_input=-11530, right_input=-2210, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9310","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10316⨜⨶≴∭⊉23116⨰(≴∭⊉5023⊋≦⊧≴∭⊉3400)=≴∭⊉-36100","reverse_text":"≴∭⊉-36100=≴∭⊉10316⨜⨶≴∭⊉23116⨰(≴∭⊉5023⊋≦⊧≴∭⊉3400)","cot":[{"info":"≴∭⊉10316⨜⨶≴∭⊉23116=≴∭⊉-45421","layer":1},{"info":"≴∭⊉5023⊋≦⊧≴∭⊉3400=≴∭⊉-6305","layer":1},{"info":"≴∭⊉-45421⨰≴∭⊉-6305=≴∭⊉-36100","layer":0}]}
+{"id":113,"expression_no_base_symbol":"$2160$∇⊂⋱$1673$∝(⨩∲⋌$1940$)","expression":"≴∭⊉6204∇⊂⋱≴∭⊉4610∝(⨩∲⋌≴∭⊉5441)","highest_n_order":1,"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":2160,"base":7},"right_expr":{"type":"numeric_atoms","value":1673,"base":7}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1940,"base":7}}},"used_operators":["cTDWOvIxvz","nhYeJWJD5X","aSik1wnThz"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"≴∭⊉14006","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2160","layer":2},{"info":"number node, value=1673","layer":2},{"info":"compute binary expreesion, left_input=2160, right_input=1673, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3774","layer":1},{"info":"number node, value=1940","layer":2},{"info":"compute unary expreesion, input=1940, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2463","layer":1},{"info":"compute binary expreesion, left_input=3774, right_input=-2463, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3779","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6204∇⊂⋱≴∭⊉4610∝(⨩∲⋌≴∭⊉5441)=≴∭⊉14006","reverse_text":"≴∭⊉14006=≴∭⊉6204∇⊂⋱≴∭⊉4610∝(⨩∲⋌≴∭⊉5441)","cot":[{"info":"≴∭⊉6204∇⊂⋱≴∭⊉4610=≴∭⊉14001","layer":1},{"info":"⨩∲⋌≴∭⊉5441=≴∭⊉-10116","layer":1},{"info":"≴∭⊉14001∝≴∭⊉-10116=≴∭⊉14006","layer":0}]}
+{"id":114,"expression_no_base_symbol":"⇘($2420$⫯⪬∳$1354$)","expression":"⇘(≴∭⊉10025⫯⪬∳≴∭⊉3643)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21616,"operation_count":2,"complexity_ratio":10808.0,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2420,"base":7},"right_expr":{"type":"numeric_atoms","value":1354,"base":7}}},"used_operators":["MGuIdZPyUC","d7ASUq0ydm"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≴∭⊉5310106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=2420, right_input=1354, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=10779","layer":1},{"info":"compute unary expreesion, input=10779, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=641122","layer":0}],"base":7,"result_base":7,"text":"⇘(≴∭⊉10025⫯⪬∳≴∭⊉3643)=≴∭⊉5310106","reverse_text":"≴∭⊉5310106=⇘(≴∭⊉10025⫯⪬∳≴∭⊉3643)","cot":[{"info":"≴∭⊉10025⫯⪬∳≴∭⊉3643=≴∭⊉43266","layer":1},{"info":"⇘≴∭⊉43266=≴∭⊉5310106","layer":0}]}
+{"id":115,"expression_no_base_symbol":"↡($3252$⫚⫇)","expression":"↡(≴∭⊉12324⫚⫇)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":3252,"base":7}}},"used_operators":["MXaNJeIAZ3","SdCjLnB6rR"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"≴∭⊉246066","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3252","layer":2},{"info":"compute unary expreesion, input=3252, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=5036","layer":1},{"info":"compute unary expreesion, input=5036, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=45324","layer":0}],"base":7,"result_base":7,"text":"↡(≴∭⊉12324⫚⫇)=≴∭⊉246066","reverse_text":"≴∭⊉246066=↡(≴∭⊉12324⫚⫇)","cot":[{"info":"≴∭⊉12324⫚⫇=≴∭⊉20453","layer":1},{"info":"↡≴∭⊉20453=≴∭⊉246066","layer":0}]}
+{"id":116,"expression_no_base_symbol":"≑⋹($1054$∴≳≥)","expression":"≑⋹(≴∭⊉3034∴≳≥)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":109,"operation_count":2,"complexity_ratio":54.5,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1054,"base":7}}},"used_operators":["6B9nyZLogK","a3N2hFLK0J"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"≴∭⊉4545","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":2},{"info":"compute unary expreesion, input=1054, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=4216","layer":1},{"info":"compute unary expreesion, input=4216, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":0}],"base":7,"result_base":7,"text":"≑⋹(≴∭⊉3034∴≳≥)=≴∭⊉4545","reverse_text":"≴∭⊉4545=≑⋹(≴∭⊉3034∴≳≥)","cot":[{"info":"≴∭⊉3034∴≳≥=≴∭⊉15202","layer":1},{"info":"≑⋹≴∭⊉15202=≴∭⊉4545","layer":0}]}
+{"id":117,"expression_no_base_symbol":"($2462$⋥≓≎$2144$)⊮⊟↴(∥⊫$1613$)","expression":"(≴∭⊉10115⋥≓≎≴∭⊉6152)⊮⊟↴(∥⊫≴∭⊉4463)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2462,"base":7},"right_expr":{"type":"numeric_atoms","value":2144,"base":7}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1613,"base":7}}},"used_operators":["QDVgd2eftb","Qy55tPpLXF","P8v4zCKN1o"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2462","layer":2},{"info":"number node, value=2144","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=2144, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1859","layer":1},{"info":"number node, value=1613","layer":2},{"info":"compute unary expreesion, input=1613, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2481","layer":1},{"info":"compute binary expreesion, left_input=1859, right_input=2481, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10115⋥≓≎≴∭⊉6152)⊮⊟↴(∥⊫≴∭⊉4463)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉10115⋥≓≎≴∭⊉6152)⊮⊟↴(∥⊫≴∭⊉4463)","cot":[{"info":"≴∭⊉10115⋥≓≎≴∭⊉6152=≴∭⊉5264","layer":1},{"info":"∥⊫≴∭⊉4463=≴∭⊉10143","layer":1},{"info":"≴∭⊉5264⊮⊟↴≴∭⊉10143=≴∭⊉0","layer":0}]}
+{"id":118,"expression_no_base_symbol":"$3584$↳≱$4677$⫯⪬∳$6201$⇤$2778$","expression":"≴∭⊉13310↳≱≴∭⊉16431⫯⪬∳≴∭⊉24036⇤≴∭⊉11046","highest_n_order":3,"priority_hierarchical_complexity":3,"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":3584,"base":7},"right_expr":{"type":"numeric_atoms","value":4677,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6201,"base":7},"right_expr":{"type":"numeric_atoms","value":2778,"base":7}}},"used_operators":["d7ASUq0ydm","JwTKLfZU96","YSKBFp38Pu"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉-1244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3584","layer":2},{"info":"number node, value=4677","layer":2},{"info":"compute binary expreesion, left_input=3584, right_input=4677, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=6201","layer":2},{"info":"number node, value=2778","layer":2},{"info":"compute binary expreesion, left_input=6201, right_input=2778, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-42047","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-42047, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13310↳≱≴∭⊉16431⫯⪬∳≴∭⊉24036⇤≴∭⊉11046=≴∭⊉-1244","reverse_text":"≴∭⊉-1244=≴∭⊉13310↳≱≴∭⊉16431⫯⪬∳≴∭⊉24036⇤≴∭⊉11046","cot":[{"info":"≴∭⊉13310↳≱≴∭⊉16431=≴∭⊉0","layer":1},{"info":"≴∭⊉24036⇤≴∭⊉11046=≴∭⊉-233405","layer":1},{"info":"≴∭⊉0⫯⪬∳≴∭⊉-233405=≴∭⊉-1244","layer":0}]}
+{"id":119,"expression_no_base_symbol":"($2663$∷)∣($1540$+$6253$)","expression":"(≴∭⊉10523∷)∣(≴∭⊉4330+≴∭⊉24142)","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":2663,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1540,"base":7},"right_expr":{"type":"numeric_atoms","value":6253,"base":7}}},"used_operators":["PPChnnnBFF","nFAOW8KTqp","W4YGzv6Whe"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"≴∭⊉32202","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2663","layer":2},{"info":"compute unary expreesion, input=2663, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=7989","layer":1},{"info":"number node, value=1540","layer":2},{"info":"number node, value=6253","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=6253, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7793","layer":1},{"info":"compute binary expreesion, left_input=7989, right_input=7793, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=7989","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10523∷)∣(≴∭⊉4330+≴∭⊉24142)=≴∭⊉32202","reverse_text":"≴∭⊉32202=(≴∭⊉10523∷)∣(≴∭⊉4330+≴∭⊉24142)","cot":[{"info":"≴∭⊉10523∷=≴∭⊉32202","layer":1},{"info":"≴∭⊉4330+≴∭⊉24142=≴∭⊉31502","layer":1},{"info":"≴∭⊉32202∣≴∭⊉31502=≴∭⊉32202","layer":0}]}
+{"id":120,"expression_no_base_symbol":"($5342$⪊≅)⩌⋺$1839$↹⊜$7915$","expression":"(≴∭⊉21401⪊≅)⩌⋺≴∭⊉5235↹⊜≴∭⊉32035","highest_n_order":1,"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":5342,"base":7}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1839,"base":7},"right_expr":{"type":"numeric_atoms","value":7915,"base":7}}},"used_operators":["g7Hmc5v1ko","bjFbhXSADs","9bazX3JMtO"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉144336","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5342","layer":2},{"info":"compute unary expreesion, input=5342, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"number node, value=1839","layer":2},{"info":"number node, value=7915","layer":2},{"info":"compute binary expreesion, left_input=1839, right_input=7915, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-28078","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-28078, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=27957","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21401⪊≅)⩌⋺≴∭⊉5235↹⊜≴∭⊉32035=≴∭⊉144336","reverse_text":"≴∭⊉144336=(≴∭⊉21401⪊≅)⩌⋺≴∭⊉5235↹⊜≴∭⊉32035","cot":[{"info":"≴∭⊉21401⪊≅=≴∭⊉0","layer":1},{"info":"≴∭⊉5235↹⊜≴∭⊉32035=≴∭⊉-144601","layer":1},{"info":"≴∭⊉0⩌⋺≴∭⊉-144601=≴∭⊉144336","layer":0}]}
+{"id":121,"expression_no_base_symbol":"($1042$⇉⇉)⋾⨃∁$1033$≦↸$1430$","expression":"(≴∭⊉3016⇉⇉)⋾⨃∁≴∭⊉3004≦↸≴∭⊉4112","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":109,"operation_count":3,"complexity_ratio":36.333333333333336,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1033,"base":7},"right_expr":{"type":"numeric_atoms","value":1430,"base":7}}},"used_operators":["212REbPD9h","diKm42VcIt","RygbFNSyEJ"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"compute unary expreesion, input=1042, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-56112","layer":1},{"info":"number node, value=1033","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=1033, right_input=1430, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4245","layer":1},{"info":"compute binary expreesion, left_input=-56112, right_input=-4245, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3016⇉⇉)⋾⨃∁≴∭⊉3004≦↸≴∭⊉4112=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉3016⇉⇉)⋾⨃∁≴∭⊉3004≦↸≴∭⊉4112","cot":[{"info":"≴∭⊉3016⇉⇉=≴∭⊉-322410","layer":1},{"info":"≴∭⊉3004≦↸≴∭⊉4112=≴∭⊉-15243","layer":1},{"info":"≴∭⊉-322410⋾⨃∁≴∭⊉-15243=≴∭⊉316","layer":0}]}
+{"id":122,"expression_no_base_symbol":"⪁⇼(⨵$1069$)","expression":"⪁⇼(⨵≴∭⊉3055)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1069,"base":7}}},"used_operators":["ZNVVrZ94lY","Tl3Y52tvF8"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"≴∭⊉1142","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":2},{"info":"compute unary expreesion, input=1069, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-9761","layer":1},{"info":"compute unary expreesion, input=-9761, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":7,"result_base":7,"text":"⪁⇼(⨵≴∭⊉3055)=≴∭⊉1142","reverse_text":"≴∭⊉1142=⪁⇼(⨵≴∭⊉3055)","cot":[{"info":"⨵≴∭⊉3055=≴∭⊉-40313","layer":1},{"info":"⪁⇼≴∭⊉-40313=≴∭⊉1142","layer":0}]}
+{"id":123,"expression_no_base_symbol":"($2054$⊍⩺⋍$1917$)⪇≇⋚($1976$⪄$1373$)","expression":"(≴∭⊉5663⊍⩺⋍≴∭⊉5406)⪇≇⋚(≴∭⊉5522⪄≴∭⊉4001)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":312,"operation_count":3,"complexity_ratio":104.0,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2054,"base":7},"right_expr":{"type":"numeric_atoms","value":1917,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1976,"base":7},"right_expr":{"type":"numeric_atoms","value":1373,"base":7}}},"used_operators":["3sJ7IOPOlU","OXDGMFPWZM","SUmda5xLS4"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2054","layer":2},{"info":"number node, value=1917","layer":2},{"info":"compute binary expreesion, left_input=2054, right_input=1917, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1976","layer":2},{"info":"number node, value=1373","layer":2},{"info":"compute binary expreesion, left_input=1976, right_input=1373, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-294029","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-294029, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5663⊍⩺⋍≴∭⊉5406)⪇≇⋚(≴∭⊉5522⪄≴∭⊉4001)=NaN","reverse_text":"NaN=(≴∭⊉5663⊍⩺⋍≴∭⊉5406)⪇≇⋚(≴∭⊉5522⪄≴∭⊉4001)","cot":[{"info":"≴∭⊉5663⊍⩺⋍≴∭⊉5406=NaN","layer":1},{"info":"≴∭⊉5522⪄≴∭⊉4001=≴∭⊉-2333141","layer":1},{"info":"NaN⪇≇⋚≴∭⊉-2333141=NaN","layer":0}]}
+{"id":124,"expression_no_base_symbol":"($1292$≓∲$7334$)⇴($1350$⋅⇍$5981$)","expression":"(≴∭⊉3524≓∲≴∭⊉30245)⇴(≴∭⊉3636⋅⇍≴∭⊉23303)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1292,"base":7},"right_expr":{"type":"numeric_atoms","value":7334,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1350,"base":7},"right_expr":{"type":"numeric_atoms","value":5981,"base":7}}},"used_operators":["4JB6nKBMSY","s1XTVnmDOJ","AdZkA7nFnk"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉460310","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"number node, value=7334","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=7334, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=13703","layer":1},{"info":"number node, value=1350","layer":2},{"info":"number node, value=5981","layer":2},{"info":"compute binary expreesion, left_input=1350, right_input=5981, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=13703, right_input=-22, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=81788","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3524≓∲≴∭⊉30245)⇴(≴∭⊉3636⋅⇍≴∭⊉23303)=≴∭⊉460310","reverse_text":"≴∭⊉460310=(≴∭⊉3524≓∲≴∭⊉30245)⇴(≴∭⊉3636⋅⇍≴∭⊉23303)","cot":[{"info":"≴∭⊉3524≓∲≴∭⊉30245=≴∭⊉54644","layer":1},{"info":"≴∭⊉3636⋅⇍≴∭⊉23303=≴∭⊉-31","layer":1},{"info":"≴∭⊉54644⇴≴∭⊉-31=≴∭⊉460310","layer":0}]}
+{"id":125,"expression_no_base_symbol":"$4195$⨚$1794$⨑≵⋬($2047$∖$1355$)","expression":"≴∭⊉15142⨚≴∭⊉5142⨑≵⋬(≴∭⊉5653∖≴∭⊉3644)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":328,"operation_count":3,"complexity_ratio":109.33333333333333,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4195,"base":7},"right_expr":{"type":"numeric_atoms","value":1794,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2047,"base":7},"right_expr":{"type":"numeric_atoms","value":1355,"base":7}}},"used_operators":["XnXgA4xnOs","nREPSIbpBE","tXD093vOjl"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≴∭⊉53225","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4195","layer":2},{"info":"number node, value=1794","layer":2},{"info":"compute binary expreesion, left_input=4195, right_input=1794, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=2148","layer":1},{"info":"number node, value=2047","layer":2},{"info":"number node, value=1355","layer":2},{"info":"compute binary expreesion, left_input=2047, right_input=1355, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2148, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=13151","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15142⨚≴∭⊉5142⨑≵⋬(≴∭⊉5653∖≴∭⊉3644)=≴∭⊉53225","reverse_text":"≴∭⊉53225=≴∭⊉15142⨚≴∭⊉5142⨑≵⋬(≴∭⊉5653∖≴∭⊉3644)","cot":[{"info":"≴∭⊉15142⨚≴∭⊉5142=≴∭⊉6156","layer":1},{"info":"≴∭⊉5653∖≴∭⊉3644=≴∭⊉0","layer":1},{"info":"≴∭⊉6156⨑≵⋬≴∭⊉0=≴∭⊉53225","layer":0}]}
+{"id":126,"expression_no_base_symbol":"⇺⋃($6297$⪥$1350$)","expression":"⇺⋃(≴∭⊉24234⪥≴∭⊉3636)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":78,"operation_count":2,"complexity_ratio":39.0,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6297,"base":7},"right_expr":{"type":"numeric_atoms","value":1350,"base":7}}},"used_operators":["E5v5B3UAjG","QbnwKVWMIQ"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6297","layer":2},{"info":"number node, value=1350","layer":2},{"info":"compute binary expreesion, left_input=6297, right_input=1350, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29840","layer":1},{"info":"compute unary expreesion, input=29840, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇺⋃(≴∭⊉24234⪥≴∭⊉3636)=NaN","reverse_text":"NaN=⇺⋃(≴∭⊉24234⪥≴∭⊉3636)","cot":[{"info":"≴∭⊉24234⪥≴∭⊉3636=≴∭⊉152666","layer":1},{"info":"⇺⋃≴∭⊉152666=NaN","layer":0}]}
+{"id":127,"expression_no_base_symbol":"(⪲⇎$1323$)≒∊($1781$⩧⪆$3014$)","expression":"(⪲⇎≴∭⊉3600)≒∊(≴∭⊉5123⩧⪆≴∭⊉11534)","highest_n_order":3,"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":1323,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1781,"base":7},"right_expr":{"type":"numeric_atoms","value":3014,"base":7}}},"used_operators":["5KTvxBwnZo","XPYlsWDdGa","Ikt5ks8PT7"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉-6206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":2},{"info":"compute unary expreesion, input=1323, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2646","layer":1},{"info":"number node, value=1781","layer":2},{"info":"number node, value=3014","layer":2},{"info":"compute binary expreesion, left_input=1781, right_input=3014, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3014","layer":1},{"info":"compute binary expreesion, left_input=2646, right_input=-3014, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2162","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎≴∭⊉3600)≒∊(≴∭⊉5123⩧⪆≴∭⊉11534)=≴∭⊉-6206","reverse_text":"≴∭⊉-6206=(⪲⇎≴∭⊉3600)≒∊(≴∭⊉5123⩧⪆≴∭⊉11534)","cot":[{"info":"⪲⇎≴∭⊉3600=≴∭⊉10500","layer":1},{"info":"≴∭⊉5123⩧⪆≴∭⊉11534=≴∭⊉-11534","layer":1},{"info":"≴∭⊉10500≒∊≴∭⊉-11534=≴∭⊉-6206","layer":0}]}
+{"id":128,"expression_no_base_symbol":"$4702$⊮⊟↴$1005$↙$2572$⩼⇪↪$5543$","expression":"≴∭⊉16465⊮⊟↴≴∭⊉2634↙≴∭⊉10333⩼⇪↪≴∭⊉22106","highest_n_order":3,"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":4702,"base":7},"right_expr":{"type":"numeric_atoms","value":1005,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2572,"base":7},"right_expr":{"type":"numeric_atoms","value":5543,"base":7}}},"used_operators":["yyfyN0ffXY","QDVgd2eftb","ocnLzx9CaJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4702","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=4702, right_input=1005, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=2572","layer":2},{"info":"number node, value=5543","layer":2},{"info":"compute binary expreesion, left_input=2572, right_input=5543, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-34440","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-34440, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16465⊮⊟↴≴∭⊉2634↙≴∭⊉10333⩼⇪↪≴∭⊉22106=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉16465⊮⊟↴≴∭⊉2634↙≴∭⊉10333⩼⇪↪≴∭⊉22106","cot":[{"info":"≴∭⊉16465⊮⊟↴≴∭⊉2634=≴∭⊉0","layer":1},{"info":"≴∭⊉10333⩼⇪↪≴∭⊉22106=≴∭⊉-202260","layer":1},{"info":"≴∭⊉0↙≴∭⊉-202260=≴∭⊉0","layer":0}]}
+{"id":129,"expression_no_base_symbol":"(⩰$4451$)⊭↱$4486$⫯⪬∳$5715$","expression":"(⩰≴∭⊉15656)⊭↱≴∭⊉16036⫯⪬∳≴∭⊉22443","highest_n_order":1,"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":4451,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4486,"base":7},"right_expr":{"type":"numeric_atoms","value":5715,"base":7}}},"used_operators":["COABgblf1C","WkeUrDK8WX","d7ASUq0ydm"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≴∭⊉243312","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4451","layer":2},{"info":"compute unary expreesion, input=4451, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5451","layer":1},{"info":"number node, value=4486","layer":2},{"info":"number node, value=5715","layer":2},{"info":"compute binary expreesion, left_input=4486, right_input=5715, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=16748","layer":1},{"info":"compute binary expreesion, left_input=-5451, right_input=16748, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=44403","layer":0}],"base":7,"result_base":7,"text":"(⩰≴∭⊉15656)⊭↱≴∭⊉16036⫯⪬∳≴∭⊉22443=≴∭⊉243312","reverse_text":"≴∭⊉243312=(⩰≴∭⊉15656)⊭↱≴∭⊉16036⫯⪬∳≴∭⊉22443","cot":[{"info":"⩰≴∭⊉15656=≴∭⊉-21615","layer":1},{"info":"≴∭⊉16036⫯⪬∳≴∭⊉22443=≴∭⊉66554","layer":1},{"info":"≴∭⊉-21615⊭↱≴∭⊉66554=≴∭⊉243312","layer":0}]}
+{"id":130,"expression_no_base_symbol":"($6935$∛≔)⩇∃⫛($1016$⫲≸⪮$5370$)","expression":"(≴∭⊉26135∛≔)⩇∃⫛(≴∭⊉2651⫲≸⪮≴∭⊉21441)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55262,"operation_count":3,"complexity_ratio":18420.666666666668,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":6935,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1016,"base":7},"right_expr":{"type":"numeric_atoms","value":5370,"base":7}}},"used_operators":["1aApVXNlOP","mGnSCrte3L","P3lXMJvFrc"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6935","layer":2},{"info":"compute unary expreesion, input=6935, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":1},{"info":"number node, value=1016","layer":2},{"info":"number node, value=5370","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=5370, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1016","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1016, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26135∛≔)⩇∃⫛(≴∭⊉2651⫲≸⪮≴∭⊉21441)=NaN","reverse_text":"NaN=(≴∭⊉26135∛≔)⩇∃⫛(≴∭⊉2651⫲≸⪮≴∭⊉21441)","cot":[{"info":"≴∭⊉26135∛≔=NaN","layer":1},{"info":"≴∭⊉2651⫲≸⪮≴∭⊉21441=≴∭⊉2651","layer":1},{"info":"NaN⩇∃⫛≴∭⊉2651=NaN","layer":0}]}
+{"id":131,"expression_no_base_symbol":"$7144$⇂≾⫗$1800$∪⫐$1966$⇴∐$4971$","expression":"≴∭⊉26554⇂≾⫗≴∭⊉5151∪⫐≴∭⊉5506⇴∐≴∭⊉20331","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":7144,"base":7},"right_expr":{"type":"numeric_atoms","value":1800,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1966,"base":7},"right_expr":{"type":"numeric_atoms","value":4971,"base":7}}},"used_operators":["7YooWSwCyH","aBQ6xLxuTc","HnzytWxmAO"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"≴∭⊉-1654","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7144","layer":2},{"info":"number node, value=1800","layer":2},{"info":"compute binary expreesion, left_input=7144, right_input=1800, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=1966","layer":2},{"info":"number node, value=4971","layer":2},{"info":"compute binary expreesion, left_input=1966, right_input=4971, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-676","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉26554⇂≾⫗≴∭⊉5151∪⫐≴∭⊉5506⇴∐≴∭⊉20331=≴∭⊉-1654","reverse_text":"≴∭⊉-1654=≴∭⊉26554⇂≾⫗≴∭⊉5151∪⫐≴∭⊉5506⇴∐≴∭⊉20331","cot":[{"info":"≴∭⊉26554⇂≾⫗≴∭⊉5151=≴∭⊉-1654","layer":1},{"info":"≴∭⊉5506⇴∐≴∭⊉20331=NaN","layer":1},{"info":"≴∭⊉-1654∪⫐NaN=≴∭⊉-1654","layer":0}]}
+{"id":132,"expression_no_base_symbol":"$4104$⫢⨠$9291$⫩⊇","expression":"≴∭⊉14652⫢⨠≴∭⊉36042⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":63,"operation_count":2,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4104,"base":7},"right_expr":{"type":"numeric_atoms","value":9291,"base":7}}},"used_operators":["BjRHVeLaeN","xlXykHWxX1"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"≴∭⊉-226","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4104","layer":2},{"info":"number node, value=9291","layer":2},{"info":"compute binary expreesion, left_input=4104, right_input=9291, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-118","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14652⫢⨠≴∭⊉36042⫩⊇=≴∭⊉-226","reverse_text":"≴∭⊉-226=≴∭⊉14652⫢⨠≴∭⊉36042⫩⊇","cot":[{"info":"≴∭⊉14652⫢⨠≴∭⊉36042=≴∭⊉316","layer":1},{"info":"≴∭⊉316⫩⊇=≴∭⊉-226","layer":0}]}
+{"id":133,"expression_no_base_symbol":"⫇($2174$⪠⩆⊳)","expression":"⫇(≴∭⊉6224⪠⩆⊳)","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":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2174,"base":7}}},"used_operators":["YjI8oCXuph","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉2521","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2174","layer":2},{"info":"compute unary expreesion, input=2174, 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 = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=946","layer":0}],"base":7,"result_base":7,"text":"⫇(≴∭⊉6224⪠⩆⊳)=≴∭⊉2521","reverse_text":"≴∭⊉2521=⫇(≴∭⊉6224⪠⩆⊳)","cot":[{"info":"≴∭⊉6224⪠⩆⊳=≴∭⊉0","layer":1},{"info":"⫇≴∭⊉0=≴∭⊉2521","layer":0}]}
+{"id":134,"expression_no_base_symbol":"($1900$⪕$3942$)⇂≾⫗($4024$∋$1387$)","expression":"(≴∭⊉5353⪕≴∭⊉14331)⇂≾⫗(≴∭⊉14506∋≴∭⊉4021)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1900,"base":7},"right_expr":{"type":"numeric_atoms","value":3942,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4024,"base":7},"right_expr":{"type":"numeric_atoms","value":1387,"base":7}}},"used_operators":["aBQ6xLxuTc","umQnsF7QlU","ukq6epAj5P"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"≴∭⊉-1654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1900","layer":2},{"info":"number node, value=3942","layer":2},{"info":"compute binary expreesion, left_input=1900, right_input=3942, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=759","layer":1},{"info":"number node, value=4024","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=4024, right_input=1387, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3029440","layer":1},{"info":"compute binary expreesion, left_input=759, right_input=3029440, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5353⪕≴∭⊉14331)⇂≾⫗(≴∭⊉14506∋≴∭⊉4021)=≴∭⊉-1654","reverse_text":"≴∭⊉-1654=(≴∭⊉5353⪕≴∭⊉14331)⇂≾⫗(≴∭⊉14506∋≴∭⊉4021)","cot":[{"info":"≴∭⊉5353⪕≴∭⊉14331=≴∭⊉2133","layer":1},{"info":"≴∭⊉14506∋≴∭⊉4021=≴∭⊉34515121","layer":1},{"info":"≴∭⊉2133⇂≾⫗≴∭⊉34515121=≴∭⊉-1654","layer":0}]}
+{"id":135,"expression_no_base_symbol":"(↸⊣$6623$)↞⋁($5100$⇮⋭$2015$)","expression":"(↸⊣≴∭⊉25211)↞⋁(≴∭⊉20604⇮⋭≴∭⊉5606)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":6623,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5100,"base":7},"right_expr":{"type":"numeric_atoms","value":2015,"base":7}}},"used_operators":["RqrPlJkxDo","wztAlM01eG","vkpjKywKVM"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≴∭⊉-24321","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6623","layer":2},{"info":"compute unary expreesion, input=6623, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-6336","layer":1},{"info":"number node, value=5100","layer":2},{"info":"number node, value=2015","layer":2},{"info":"compute binary expreesion, left_input=5100, right_input=2015, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-6336, right_input=-473, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-6336","layer":0}],"base":7,"result_base":7,"text":"(↸⊣≴∭⊉25211)↞⋁(≴∭⊉20604⇮⋭≴∭⊉5606)=≴∭⊉-24321","reverse_text":"≴∭⊉-24321=(↸⊣≴∭⊉25211)↞⋁(≴∭⊉20604⇮⋭≴∭⊉5606)","cot":[{"info":"↸⊣≴∭⊉25211=≴∭⊉-24321","layer":1},{"info":"≴∭⊉20604⇮⋭≴∭⊉5606=≴∭⊉-1244","layer":1},{"info":"≴∭⊉-24321↞⋁≴∭⊉-1244=≴∭⊉-24321","layer":0}]}
+{"id":136,"expression_no_base_symbol":"$2194$≦↸$1749$⇔⨋","expression":"≴∭⊉6253≦↸≴∭⊉5046⇔⨋","highest_n_order":1,"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":2194,"base":7},"right_expr":{"type":"numeric_atoms","value":1749,"base":7}}},"used_operators":["uBihLCJcMX","RygbFNSyEJ"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉560","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2194","layer":2},{"info":"number node, value=1749","layer":2},{"info":"compute binary expreesion, left_input=2194, right_input=1749, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7205","layer":1},{"info":"compute unary expreesion, input=-7205, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6253≦↸≴∭⊉5046⇔⨋=≴∭⊉560","reverse_text":"≴∭⊉560=≴∭⊉6253≦↸≴∭⊉5046⇔⨋","cot":[{"info":"≴∭⊉6253≦↸≴∭⊉5046=≴∭⊉-30002","layer":1},{"info":"≴∭⊉-30002⇔⨋=≴∭⊉560","layer":0}]}
+{"id":137,"expression_no_base_symbol":"($1007$⪔⊥$1307$)⪔⊥($4293$⊉≛↸$1973$)","expression":"(≴∭⊉2636⪔⊥≴∭⊉3545)⪔⊥(≴∭⊉15342⊉≛↸≴∭⊉5516)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1007,"base":7},"right_expr":{"type":"numeric_atoms","value":1307,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4293,"base":7},"right_expr":{"type":"numeric_atoms","value":1973,"base":7}}},"used_operators":["HJ9erzHUuu","DZ8iAZOCBD"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-51322","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"number node, value=1307","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=1307, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1215","layer":1},{"info":"number node, value=4293","layer":2},{"info":"number node, value=1973","layer":2},{"info":"compute binary expreesion, left_input=4293, right_input=1973, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8586","layer":1},{"info":"compute binary expreesion, left_input=1215, right_input=8586, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-12511","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2636⪔⊥≴∭⊉3545)⪔⊥(≴∭⊉15342⊉≛↸≴∭⊉5516)=≴∭⊉-51322","reverse_text":"≴∭⊉-51322=(≴∭⊉2636⪔⊥≴∭⊉3545)⪔⊥(≴∭⊉15342⊉≛↸≴∭⊉5516)","cot":[{"info":"≴∭⊉2636⪔⊥≴∭⊉3545=≴∭⊉3354","layer":1},{"info":"≴∭⊉15342⊉≛↸≴∭⊉5516=≴∭⊉34014","layer":1},{"info":"≴∭⊉3354⪔⊥≴∭⊉34014=≴∭⊉-51322","layer":0}]}
+{"id":138,"expression_no_base_symbol":"↩⪖($1457$⪶≀⋏$2726$)","expression":"↩⪖(≴∭⊉4151⪶≀⋏≴∭⊉10643)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1457,"base":7},"right_expr":{"type":"numeric_atoms","value":2726,"base":7}}},"used_operators":["fG6uBQFnGz","zR4jO40bMj"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉1115004","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":2},{"info":"number node, value=2726","layer":2},{"info":"compute binary expreesion, left_input=1457, right_input=2726, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10055","layer":1},{"info":"compute unary expreesion, input=-10055, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=138576","layer":0}],"base":7,"result_base":7,"text":"↩⪖(≴∭⊉4151⪶≀⋏≴∭⊉10643)=≴∭⊉1115004","reverse_text":"≴∭⊉1115004=↩⪖(≴∭⊉4151⪶≀⋏≴∭⊉10643)","cot":[{"info":"≴∭⊉4151⪶≀⋏≴∭⊉10643=≴∭⊉-41213","layer":1},{"info":"↩⪖≴∭⊉-41213=≴∭⊉1115004","layer":0}]}
+{"id":139,"expression_no_base_symbol":"(⫡⇟⇯$3089$)∕⩚($3231$⨵⪆$6483$)","expression":"(⫡⇟⇯≴∭⊉12002)∕⩚(≴∭⊉12264⨵⪆≴∭⊉24621)","highest_n_order":3,"priority_hierarchical_complexity":2,"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":3089,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3231,"base":7},"right_expr":{"type":"numeric_atoms","value":6483,"base":7}}},"used_operators":["z9ffQ9n5Zr","qWUSsah53b","2DQ55sFlQl"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3089","layer":2},{"info":"compute unary expreesion, input=3089, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=7046","layer":1},{"info":"number node, value=3231","layer":2},{"info":"number node, value=6483","layer":2},{"info":"compute binary expreesion, left_input=3231, right_input=6483, 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=7046, right_input=160, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"(⫡⇟⇯≴∭⊉12002)∕⩚(≴∭⊉12264⨵⪆≴∭⊉24621)=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=(⫡⇟⇯≴∭⊉12002)∕⩚(≴∭⊉12264⨵⪆≴∭⊉24621)","cot":[{"info":"⫡⇟⇯≴∭⊉12002=≴∭⊉26354","layer":1},{"info":"≴∭⊉12264⨵⪆≴∭⊉24621=≴∭⊉316","layer":1},{"info":"≴∭⊉26354∕⩚≴∭⊉316=≴∭⊉-1264","layer":0}]}
+{"id":140,"expression_no_base_symbol":"($2506$⨒$2104$)≚⊃≕($5947$≳⇉$3473$)","expression":"(≴∭⊉10210⨒≴∭⊉6064)≚⊃≕(≴∭⊉23224≳⇉≴∭⊉13061)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":228962481,"operation_count":3,"complexity_ratio":76320827.0,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2506,"base":7},"right_expr":{"type":"numeric_atoms","value":2104,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5947,"base":7},"right_expr":{"type":"numeric_atoms","value":3473,"base":7}}},"used_operators":["Bmrmz2XGnR","y75s1iXyHd","V0kx6qeWkN"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2506","layer":2},{"info":"number node, value=2104","layer":2},{"info":"compute binary expreesion, left_input=2506, right_input=2104, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉��⨁) }', output=-14664","layer":1},{"info":"number node, value=5947","layer":2},{"info":"number node, value=3473","layer":2},{"info":"compute binary expreesion, left_input=5947, right_input=3473, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14664, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10210⨒≴∭⊉6064)≚⊃≕(≴∭⊉23224≳⇉≴∭⊉13061)=NaN","reverse_text":"NaN=(≴∭⊉10210⨒≴∭⊉6064)≚⊃≕(≴∭⊉23224≳⇉≴∭⊉13061)","cot":[{"info":"≴∭⊉10210⨒≴∭⊉6064=≴∭⊉-60516","layer":1},{"info":"≴∭⊉23224≳⇉≴∭⊉13061=NaN","layer":1},{"info":"≴∭⊉-60516≚⊃≕NaN=NaN","layer":0}]}
+{"id":141,"expression_no_base_symbol":"$2713$≎⪠$1817$⫍⨯↯","expression":"≴∭⊉10624≎⪠≴∭⊉5204⫍⨯↯","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19115,"operation_count":2,"complexity_ratio":9557.5,"tree":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2713,"base":7},"right_expr":{"type":"numeric_atoms","value":1817,"base":7}}},"used_operators":["ZcwmYACASQ","aNhz54LH3e"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉110632","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2713","layer":2},{"info":"number node, value=1817","layer":2},{"info":"compute binary expreesion, left_input=2713, right_input=1817, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=19525","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10624≎⪠≴∭⊉5204⫍⨯↯=≴∭⊉110632","reverse_text":"≴∭⊉110632=≴∭⊉10624≎⪠≴∭⊉5204⫍⨯↯","cot":[{"info":"≴∭⊉10624≎⪠≴∭⊉5204=≴∭⊉111010","layer":1},{"info":"≴∭⊉111010⫍⨯↯=≴∭⊉110632","layer":0}]}
+{"id":142,"expression_no_base_symbol":"($4673$⫚⫇)⪝($1026$/$1140$)","expression":"(≴∭⊉16424⫚⫇)⪝(≴∭⊉2664/≴∭⊉3216)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":431,"operation_count":3,"complexity_ratio":143.66666666666666,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":4673,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1026,"base":7},"right_expr":{"type":"numeric_atoms","value":1140,"base":7}}},"used_operators":["wicAB68Tmb","SdCjLnB6rR","XhwjNDsVaA"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","rysDP5nf3Z"],"result":"≴∭⊉-162015","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4673","layer":2},{"info":"compute unary expreesion, input=4673, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=7878","layer":1},{"info":"number node, value=1026","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=1026, right_input=1140, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=7878, right_input=0, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-31911","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16424⫚⫇)⪝(≴∭⊉2664/≴∭⊉3216)=≴∭⊉-162015","reverse_text":"≴∭⊉-162015=(≴∭⊉16424⫚⫇)⪝(≴∭⊉2664/≴∭⊉3216)","cot":[{"info":"≴∭⊉16424⫚⫇=≴∭⊉31653","layer":1},{"info":"≴∭⊉2664/≴∭⊉3216=≴∭⊉0","layer":1},{"info":"≴∭⊉31653⪝≴∭⊉0=≴∭⊉-162015","layer":0}]}
+{"id":143,"expression_no_base_symbol":"(∤$3135$)⇴$1529$↞⋁$1622$","expression":"(∤≴∭⊉12066)⇴≴∭⊉4313↞⋁≴∭⊉4505","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":196,"operation_count":3,"complexity_ratio":65.33333333333333,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3135,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1529,"base":7},"right_expr":{"type":"numeric_atoms","value":1622,"base":7}}},"used_operators":["4JB6nKBMSY","k2HlF1dBQh","RqrPlJkxDo"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3135","layer":2},{"info":"compute unary expreesion, input=3135, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=1529","layer":2},{"info":"number node, value=1622","layer":2},{"info":"compute binary expreesion, left_input=1529, right_input=1622, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∤≴∭⊉12066)⇴≴∭⊉4313↞⋁≴∭⊉4505=NaN","reverse_text":"NaN=(∤≴∭⊉12066)⇴≴∭⊉4313↞⋁≴∭⊉4505","cot":[{"info":"∤≴∭⊉12066=≴∭⊉12","layer":1},{"info":"≴∭⊉4313↞⋁≴∭⊉4505=NaN","layer":1},{"info":"≴∭⊉12⇴NaN=NaN","layer":0}]}
+{"id":144,"expression_no_base_symbol":"($6476$⊹∫⫚$1233$)⩺⋐⫨","expression":"(≴∭⊉24611⊹∫⫚≴∭⊉3411)⩺⋐⫨","highest_n_order":3,"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":6476,"base":7},"right_expr":{"type":"numeric_atoms","value":1233,"base":7}}},"used_operators":["yS9ePUuUdn","uWAJUKEvyW"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6476","layer":2},{"info":"number node, value=1233","layer":2},{"info":"compute binary expreesion, left_input=6476, right_input=1233, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-216","layer":1},{"info":"compute unary expreesion, input=-216, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24611⊹∫⫚≴∭⊉3411)⩺⋐⫨=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉24611⊹∫⫚≴∭⊉3411)⩺⋐⫨","cot":[{"info":"≴∭⊉24611⊹∫⫚≴∭⊉3411=≴∭⊉-426","layer":1},{"info":"≴∭⊉-426⩺⋐⫨=≴∭⊉0","layer":0}]}
+{"id":145,"expression_no_base_symbol":"(↸⊣$2926$)⇮⋭$2024$⊴$1776$","expression":"(↸⊣≴∭⊉11350)⇮⋭≴∭⊉5621⊴≴∭⊉5115","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2234,"operation_count":3,"complexity_ratio":744.6666666666666,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2926,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2024,"base":7},"right_expr":{"type":"numeric_atoms","value":1776,"base":7}}},"used_operators":["vkpjKywKVM","wztAlM01eG","Nsiff2A1zJ"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","dWAJyo7jo9","14qkJME0vr"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"compute unary expreesion, input=2926, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2639","layer":1},{"info":"number node, value=2024","layer":2},{"info":"number node, value=1776","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=1776, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2639, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(↸⊣≴∭⊉11350)⇮⋭≴∭⊉5621⊴≴∭⊉5115=≴∭⊉124","reverse_text":"≴∭⊉124=(↸⊣≴∭⊉11350)⇮⋭≴∭⊉5621⊴≴∭⊉5115","cot":[{"info":"↸⊣≴∭⊉11350=≴∭⊉-10460","layer":1},{"info":"≴∭⊉5621⊴≴∭⊉5115=NaN","layer":1},{"info":"≴∭⊉-10460⇮⋭NaN=≴∭⊉124","layer":0}]}
+{"id":146,"expression_no_base_symbol":"($3060$⫸⇳$2186$)⇞","expression":"(≴∭⊉11631⫸⇳≴∭⊉6242)⇞","highest_n_order":1,"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":3060,"base":7},"right_expr":{"type":"numeric_atoms","value":2186,"base":7}}},"used_operators":["5JYyxRJd4f","gx7XJ7hdpj"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉-1365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3060","layer":2},{"info":"number node, value=2186","layer":2},{"info":"compute binary expreesion, left_input=3060, right_input=2186, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11631⫸⇳≴∭⊉6242)⇞=≴∭⊉-1365","reverse_text":"≴∭⊉-1365=(≴∭⊉11631⫸⇳≴∭⊉6242)⇞","cot":[{"info":"≴∭⊉11631⫸⇳≴∭⊉6242=≴∭⊉0","layer":1},{"info":"≴∭⊉0⇞=≴∭⊉-1365","layer":0}]}
+{"id":147,"expression_no_base_symbol":"(≪$3403$)≚⊃≕($2524$∀⊥⇻)","expression":"(≪≴∭⊉12631)≚⊃≕(≴∭⊉10234∀⊥⇻)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":94,"operation_count":3,"complexity_ratio":31.333333333333332,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3403,"base":7}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2524,"base":7}}},"used_operators":["Bmrmz2XGnR","Qtd6bqUJcN","k4iM1060OG"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3403","layer":2},{"info":"compute unary expreesion, input=3403, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"number node, value=2524","layer":2},{"info":"compute unary expreesion, input=2524, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=0, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≪≴∭⊉12631)≚⊃≕(≴∭⊉10234∀⊥⇻)=≴∭⊉124","reverse_text":"≴∭⊉124=(≪≴∭⊉12631)≚⊃≕(≴∭⊉10234∀⊥⇻)","cot":[{"info":"≪≴∭⊉12631=≴∭⊉2443","layer":1},{"info":"≴∭⊉10234∀⊥⇻=≴∭⊉0","layer":1},{"info":"≴∭⊉2443≚⊃≕≴∭⊉0=≴∭⊉124","layer":0}]}
+{"id":148,"expression_no_base_symbol":"(⨩∲⋌$1042$)⊭↱(≑⋹$1723$)","expression":"(⨩∲⋌≴∭⊉3016)⊭↱(≑⋹≴∭⊉5011)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":116,"operation_count":3,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1723,"base":7}}},"used_operators":["COABgblf1C","aSik1wnThz","6B9nyZLogK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉24522","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"compute unary expreesion, input=1042, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1565","layer":1},{"info":"number node, value=1723","layer":2},{"info":"compute unary expreesion, input=1723, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=-1565, right_input=1650, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6435","layer":0}],"base":7,"result_base":7,"text":"(⨩∲⋌≴∭⊉3016)⊭↱(≑⋹≴∭⊉5011)=≴∭⊉24522","reverse_text":"≴∭⊉24522=(⨩∲⋌≴∭⊉3016)⊭↱(≑⋹≴∭⊉5011)","cot":[{"info":"⨩∲⋌≴∭⊉3016=≴∭⊉-4364","layer":1},{"info":"≑⋹≴∭⊉5011=≴∭⊉4545","layer":1},{"info":"≴∭⊉-4364⊭↱≴∭⊉4545=≴∭⊉24522","layer":0}]}
+{"id":149,"expression_no_base_symbol":"⇾⩊⇾$3003$↳≱$1151$","expression":"⇾⩊⇾≴∭⊉11520↳≱≴∭⊉3233","highest_n_order":3,"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":3003,"base":7},"right_expr":{"type":"numeric_atoms","value":1151,"base":7}}},"used_operators":["bx9Z9DAK5y","JwTKLfZU96"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≴∭⊉-24624","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3003","layer":2},{"info":"number node, value=1151","layer":2},{"info":"compute binary expreesion, left_input=3003, right_input=1151, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6486","layer":0}],"base":7,"result_base":7,"text":"⇾⩊⇾≴∭⊉11520↳≱≴∭⊉3233=≴∭⊉-24624","reverse_text":"≴∭⊉-24624=⇾⩊⇾≴∭⊉11520↳≱≴∭⊉3233","cot":[{"info":"≴∭⊉11520↳≱≴∭⊉3233=≴∭⊉0","layer":1},{"info":"⇾⩊⇾≴∭⊉0=≴∭⊉-24624","layer":0}]}
+{"id":150,"expression_no_base_symbol":"($1744$⪕$4842$)⇀∌","expression":"(≴∭⊉5041⪕≴∭⊉20055)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3411,"operation_count":2,"complexity_ratio":1705.5,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1744,"base":7},"right_expr":{"type":"numeric_atoms","value":4842,"base":7}}},"used_operators":["2k53nXOpI5","umQnsF7QlU"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1744","layer":2},{"info":"number node, value=4842","layer":2},{"info":"compute binary expreesion, left_input=1744, right_input=4842, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5041⪕≴∭⊉20055)⇀∌=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉5041⪕≴∭⊉20055)⇀∌","cot":[{"info":"≴∭⊉5041⪕≴∭⊉20055=≴∭⊉-106","layer":1},{"info":"≴∭⊉-106⇀∌=≴∭⊉221","layer":0}]}
+{"id":151,"expression_no_base_symbol":"$1078$⊋$1293$⫡⨏(⇙⪊$1432$)","expression":"≴∭⊉3100⊋≴∭⊉3525⫡⨏(⇙⪊≴∭⊉4114)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":394,"operation_count":3,"complexity_ratio":131.33333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1078,"base":7},"right_expr":{"type":"numeric_atoms","value":1293,"base":7}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1432,"base":7}}},"used_operators":["QMFrweE19q","W4tP9CfskL","pB6Fcnrjim"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"≴∭⊉-132356005","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=1078, right_input=1293, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-1707200","layer":1},{"info":"number node, value=1432","layer":2},{"info":"compute unary expreesion, input=1432, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1707200, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-8535217","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3100⊋≴∭⊉3525⫡⨏(⇙⪊≴∭⊉4114)=≴∭⊉-132356005","reverse_text":"≴∭⊉-132356005=≴∭⊉3100⊋≴∭⊉3525⫡⨏(⇙⪊≴∭⊉4114)","cot":[{"info":"≴∭⊉3100⊋≴∭⊉3525=≴∭⊉-20340155","layer":1},{"info":"⇙⪊≴∭⊉4114=≴∭⊉0","layer":1},{"info":"≴∭⊉-20340155⫡⨏≴∭⊉0=≴∭⊉-132356005","layer":0}]}
+{"id":152,"expression_no_base_symbol":"($2862$⊝⪿⪼$1207$)⫁($2453$∸)","expression":"(≴∭⊉11226⊝⪿⪼≴∭⊉3343)⫁(≴∭⊉10103∸)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":296,"operation_count":3,"complexity_ratio":98.66666666666667,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2862,"base":7},"right_expr":{"type":"numeric_atoms","value":1207,"base":7}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2453,"base":7}}},"used_operators":["0ajvFaJAv0","3Oe9XWJUTD","o20kRiQErp"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":2},{"info":"number node, value=1207","layer":2},{"info":"compute binary expreesion, left_input=2862, right_input=1207, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=44636","layer":1},{"info":"number node, value=2453","layer":2},{"info":"compute unary expreesion, input=2453, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=44636, right_input=177, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11226⊝⪿⪼≴∭⊉3343)⫁(≴∭⊉10103∸)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉11226⊝⪿⪼≴∭⊉3343)⫁(≴∭⊉10103∸)","cot":[{"info":"≴∭⊉11226⊝⪿⪼≴∭⊉3343=≴∭⊉244064","layer":1},{"info":"≴∭⊉10103∸=≴∭⊉342","layer":1},{"info":"≴∭⊉244064⫁≴∭⊉342=≴∭⊉316","layer":0}]}
+{"id":153,"expression_no_base_symbol":"(⇁⨣⪵$2570$)⊮⊟↴$1045$≁↽≥$2216$","expression":"(⇁⨣⪵≴∭⊉10331)⊮⊟↴≴∭⊉3022≁↽≥≴∭⊉6314","highest_n_order":5,"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":2570,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":2216,"base":7}}},"used_operators":["QDVgd2eftb","inkyxCbjAn","ncHt1X6cMc"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta","oWn0xqSxBt","3Oe9XWJUTD"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2570","layer":2},{"info":"compute unary expreesion, input=2570, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1045","layer":2},{"info":"number node, value=2216","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=2216, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25607","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=25607, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⇁⨣⪵≴∭⊉10331)⊮⊟↴≴∭⊉3022≁↽≥≴∭⊉6314=≴∭⊉0","reverse_text":"≴∭⊉0=(⇁⨣⪵≴∭⊉10331)⊮⊟↴≴∭⊉3022≁↽≥≴∭⊉6314","cot":[{"info":"⇁⨣⪵≴∭⊉10331=NaN","layer":1},{"info":"≴∭⊉3022≁↽≥≴∭⊉6314=≴∭⊉134441","layer":1},{"info":"NaN⊮⊟↴≴∭⊉134441=≴∭⊉0","layer":0}]}
+{"id":154,"expression_no_base_symbol":"($3205$⊍⩺⋍$4803$)⇍⊗$1409$≝⊿$3408$","expression":"(≴∭⊉12226⊍⩺⋍≴∭⊉20001)⇍⊗≴∭⊉4052≝⊿≴∭⊉12636","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":679,"operation_count":3,"complexity_ratio":226.33333333333334,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3205,"base":7},"right_expr":{"type":"numeric_atoms","value":4803,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1409,"base":7},"right_expr":{"type":"numeric_atoms","value":3408,"base":7}}},"used_operators":["5uvYHDjeKN","OXDGMFPWZM","OKKcZfAt5B"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","12rbrZMWeM"],"result":"≴∭⊉-466","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3205","layer":2},{"info":"number node, value=4803","layer":2},{"info":"compute binary expreesion, left_input=3205, right_input=4803, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1409","layer":2},{"info":"number node, value=3408","layer":2},{"info":"compute binary expreesion, left_input=1409, right_input=3408, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8758","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8758, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12226⊍⩺⋍≴∭⊉20001)⇍⊗≴∭⊉4052≝⊿≴∭⊉12636=≴∭⊉-466","reverse_text":"≴∭⊉-466=(≴∭⊉12226⊍⩺⋍≴∭⊉20001)⇍⊗≴∭⊉4052≝⊿≴∭⊉12636","cot":[{"info":"≴∭⊉12226⊍⩺⋍≴∭⊉20001=NaN","layer":1},{"info":"≴∭⊉4052≝⊿≴∭⊉12636=≴∭⊉-34351","layer":1},{"info":"NaN⇍⊗≴∭⊉-34351=≴∭⊉-466","layer":0}]}
+{"id":155,"expression_no_base_symbol":"($1387$⊬⨰$7398$)⪃⊛⇣($3642$⋥⋵⩄$1589$)","expression":"(≴∭⊉4021⊬⨰≴∭⊉30366)⪃⊛⇣(≴∭⊉13422⋥⋵⩄≴∭⊉4430)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":606,"operation_count":3,"complexity_ratio":202.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1387,"base":7},"right_expr":{"type":"numeric_atoms","value":7398,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3642,"base":7},"right_expr":{"type":"numeric_atoms","value":1589,"base":7}}},"used_operators":["rrgAzCduG9","s3Fd5m9Dh2","7t3wd0Fuz7"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":2},{"info":"number node, value=7398","layer":2},{"info":"compute binary expreesion, left_input=1387, right_input=7398, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=29923","layer":1},{"info":"number node, value=3642","layer":2},{"info":"number node, value=1589","layer":2},{"info":"compute binary expreesion, left_input=3642, right_input=1589, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=29923, right_input=113, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4021⊬⨰≴∭⊉30366)⪃⊛⇣(≴∭⊉13422⋥⋵⩄≴∭⊉4430)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉4021⊬⨰≴∭⊉30366)⪃⊛⇣(≴∭⊉13422⋥⋵⩄≴∭⊉4430)","cot":[{"info":"≴∭⊉4021⊬⨰≴∭⊉30366=≴∭⊉153145","layer":1},{"info":"≴∭⊉13422⋥⋵⩄≴∭⊉4430=≴∭⊉221","layer":1},{"info":"≴∭⊉153145⪃⊛⇣≴∭⊉221=≴∭⊉3412","layer":0}]}
+{"id":156,"expression_no_base_symbol":"($8549$↸$3793$)⨝⩣∺","expression":"(≴∭⊉33632↸≴∭⊉14026)⨝⩣∺","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3799,"operation_count":2,"complexity_ratio":1899.5,"tree":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":8549,"base":7},"right_expr":{"type":"numeric_atoms","value":3793,"base":7}}},"used_operators":["ancx8kZcWl","1eCjFl0mb9"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"≴∭⊉-100564","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8549","layer":2},{"info":"number node, value=3793","layer":2},{"info":"compute binary expreesion, left_input=8549, right_input=3793, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=8549","layer":1},{"info":"compute unary expreesion, input=8549, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-17098","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉33632↸≴∭⊉14026)⨝⩣∺=≴∭⊉-100564","reverse_text":"≴∭⊉-100564=(≴∭⊉33632↸≴∭⊉14026)⨝⩣∺","cot":[{"info":"≴∭⊉33632↸≴∭⊉14026=≴∭⊉33632","layer":1},{"info":"≴∭⊉33632⨝⩣∺=≴∭⊉-100564","layer":0}]}
+{"id":157,"expression_no_base_symbol":"(∤↝$3869$)⫣⪄⊒($1240$⪨≂$2067$)","expression":"(∤↝≴∭⊉14165)⫣⪄⊒(≴∭⊉3421⪨≂≴∭⊉6012)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3869,"base":7}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1240,"base":7},"right_expr":{"type":"numeric_atoms","value":2067,"base":7}}},"used_operators":["RabNbG55vr","3UMq87Qwqg","sdazOOVcIp"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3869","layer":2},{"info":"compute unary expreesion, input=3869, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3869","layer":1},{"info":"number node, value=1240","layer":2},{"info":"number node, value=2067","layer":2},{"info":"compute binary expreesion, left_input=1240, right_input=2067, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1552","layer":1},{"info":"compute binary expreesion, left_input=3869, right_input=-1552, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(∤↝≴∭⊉14165)⫣⪄⊒(≴∭⊉3421⪨≂≴∭⊉6012)=≴∭⊉316","reverse_text":"≴∭⊉316=(∤↝≴∭⊉14165)⫣⪄⊒(≴∭⊉3421⪨≂≴∭⊉6012)","cot":[{"info":"∤↝≴∭⊉14165=≴∭⊉14165","layer":1},{"info":"≴∭⊉3421⪨≂≴∭⊉6012=≴∭⊉-4345","layer":1},{"info":"≴∭⊉14165⫣⪄⊒≴∭⊉-4345=≴∭⊉316","layer":0}]}
+{"id":158,"expression_no_base_symbol":"($1513$≝⊿$1397$)⫁($1400$⫒⫫$2729$)","expression":"(≴∭⊉4261≝⊿≴∭⊉4034)⫁(≴∭⊉4040⫒⫫≴∭⊉10646)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":92,"operation_count":3,"complexity_ratio":30.666666666666668,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1513,"base":7},"right_expr":{"type":"numeric_atoms","value":1397,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1400,"base":7},"right_expr":{"type":"numeric_atoms","value":2729,"base":7}}},"used_operators":["0ajvFaJAv0","OKKcZfAt5B","6Ko8hGgeMq"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","12rbrZMWeM","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":2},{"info":"number node, value=1397","layer":2},{"info":"compute binary expreesion, left_input=1513, right_input=1397, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4840","layer":1},{"info":"number node, value=1400","layer":2},{"info":"number node, value=2729","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=2729, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4840, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4261≝⊿≴∭⊉4034)⫁(≴∭⊉4040⫒⫫≴∭⊉10646)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉4261≝⊿≴∭⊉4034)⫁(≴∭⊉4040⫒⫫≴∭⊉10646)","cot":[{"info":"≴∭⊉4261≝⊿≴∭⊉4034=≴∭⊉-20053","layer":1},{"info":"≴∭⊉4040⫒⫫≴∭⊉10646=NaN","layer":1},{"info":"≴∭⊉-20053⫁NaN=≴∭⊉316","layer":0}]}
+{"id":159,"expression_no_base_symbol":"(⪛⨧$2471$)⊉↱≁($6849$⋾⨃∁$6887$)","expression":"(⪛⨧≴∭⊉10130)⊉↱≁(≴∭⊉25653⋾⨃∁≴∭⊉26036)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6947,"operation_count":3,"complexity_ratio":2315.6666666666665,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2471,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6849,"base":7},"right_expr":{"type":"numeric_atoms","value":6887,"base":7}}},"used_operators":["w2P8NbNXyL","6NJAcO2OWT","212REbPD9h"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"-Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":2},{"info":"compute unary expreesion, input=2471, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6343","layer":1},{"info":"number node, value=6849","layer":2},{"info":"number node, value=6887","layer":2},{"info":"compute binary expreesion, left_input=6849, right_input=6887, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=474224952","layer":1},{"info":"compute binary expreesion, left_input=6343, right_input=474224952, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-inf","layer":0}],"base":7,"result_base":7,"text":"(⪛⨧≴∭⊉10130)⊉↱≁(≴∭⊉25653⋾⨃∁≴∭⊉26036)=-Inf","reverse_text":"-Inf=(⪛⨧≴∭⊉10130)⊉↱≁(≴∭⊉25653⋾⨃∁≴∭⊉26036)","cot":[{"info":"⪛⨧≴∭⊉10130=≴∭⊉24331","layer":1},{"info":"≴∭⊉25653⋾⨃∁≴∭⊉26036=≴∭⊉14515563015","layer":1},{"info":"≴∭⊉24331⊉↱≁≴∭⊉14515563015=-Inf","layer":0}]}
+{"id":160,"expression_no_base_symbol":"⋃(≑⋹$1788$)","expression":"⋃(≑⋹≴∭⊉5133)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":109,"operation_count":2,"complexity_ratio":54.5,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1788,"base":7}}},"used_operators":["3mBM5G4a3l","6B9nyZLogK"],"dependent_operators":["g55IO6H4Gj","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉12630","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":2},{"info":"compute unary expreesion, input=1788, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute unary expreesion, input=1650, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3402","layer":0}],"base":7,"result_base":7,"text":"⋃(≑⋹≴∭⊉5133)=≴∭⊉12630","reverse_text":"≴∭⊉12630=⋃(≑⋹≴∭⊉5133)","cot":[{"info":"≑⋹≴∭⊉5133=≴∭⊉4545","layer":1},{"info":"⋃≴∭⊉4545=≴∭⊉12630","layer":0}]}
+{"id":161,"expression_no_base_symbol":"($4350$⨭⪣$5147$)⪇≇⋚(⇖$3777$)","expression":"(≴∭⊉15453⨭⪣≴∭⊉21002)⪇≇⋚(⇖≴∭⊉14004)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4350,"base":7},"right_expr":{"type":"numeric_atoms","value":5147,"base":7}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3777,"base":7}}},"used_operators":["3sJ7IOPOlU","kn8WO9XteQ","tfWHHpNKUN"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2DQ55sFlQl"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4350","layer":2},{"info":"number node, value=5147","layer":2},{"info":"compute binary expreesion, left_input=4350, right_input=5147, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3071","layer":1},{"info":"number node, value=3777","layer":2},{"info":"compute unary expreesion, input=3777, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=3071, right_input=160, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15453⨭⪣≴∭⊉21002)⪇≇⋚(⇖≴∭⊉14004)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉15453⨭⪣≴∭⊉21002)⪇≇⋚(⇖≴∭⊉14004)","cot":[{"info":"≴∭⊉15453⨭⪣≴∭⊉21002=≴∭⊉11645","layer":1},{"info":"⇖≴∭⊉14004=≴∭⊉316","layer":1},{"info":"≴∭⊉11645⪇≇⋚≴∭⊉316=≴∭⊉0","layer":0}]}
+{"id":162,"expression_no_base_symbol":"$1082$⋾⨃∁$5513$⫔⩽⩺$3189$⪟⇏$1432$","expression":"≴∭⊉3104⋾⨃∁≴∭⊉22034⫔⩽⩺≴∭⊉12204⪟⇏≴∭⊉4114","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6482,"operation_count":3,"complexity_ratio":2160.6666666666665,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1082,"base":7},"right_expr":{"type":"numeric_atoms","value":5513,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3189,"base":7},"right_expr":{"type":"numeric_atoms","value":1432,"base":7}}},"used_operators":["i9eR4S00cU","212REbPD9h","GODebY97qR"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":2},{"info":"number node, value=5513","layer":2},{"info":"compute binary expreesion, left_input=1082, right_input=5513, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=303865440","layer":1},{"info":"number node, value=3189","layer":2},{"info":"number node, value=1432","layer":2},{"info":"compute binary expreesion, left_input=3189, right_input=1432, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=303865440, right_input=-1, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3104⋾⨃∁≴∭⊉22034⫔⩽⩺≴∭⊉12204⪟⇏≴∭⊉4114=NaN","reverse_text":"NaN=≴∭⊉3104⋾⨃∁≴∭⊉22034⫔⩽⩺≴∭⊉12204⪟⇏≴∭⊉4114","cot":[{"info":"≴∭⊉3104⋾⨃∁≴∭⊉22034=≴∭⊉10346546034","layer":1},{"info":"≴∭⊉12204⪟⇏≴∭⊉4114=≴∭⊉-1","layer":1},{"info":"≴∭⊉10346546034⫔⩽⩺≴∭⊉-1=NaN","layer":0}]}
+{"id":163,"expression_no_base_symbol":"($3344$⪎⩰)⋹⋡⊁($6260$⋅⇍$2340$)","expression":"(≴∭⊉12515⪎⩰)⋹⋡⊁(≴∭⊉24152⋅⇍≴∭⊉6552)","highest_n_order":4,"priority_hierarchical_complexity":3,"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":3344,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6260,"base":7},"right_expr":{"type":"numeric_atoms","value":2340,"base":7}}},"used_operators":["As8RqfVLgs","2ufhKmSs5H","AdZkA7nFnk"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉552","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3344","layer":2},{"info":"compute unary expreesion, input=3344, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"number node, value=6260","layer":2},{"info":"number node, value=2340","layer":2},{"info":"compute binary expreesion, left_input=6260, right_input=2340, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-34, right_input=-22, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=282","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12515⪎⩰)⋹⋡⊁(≴∭⊉24152⋅⇍≴∭⊉6552)=≴∭⊉552","reverse_text":"≴∭⊉552=(≴∭⊉12515⪎⩰)⋹⋡⊁(≴∭⊉24152⋅⇍≴∭⊉6552)","cot":[{"info":"≴∭⊉12515⪎⩰=≴∭⊉-46","layer":1},{"info":"≴∭⊉24152⋅⇍≴∭⊉6552=≴∭⊉-31","layer":1},{"info":"≴∭⊉-46⋹⋡⊁≴∭⊉-31=≴∭⊉552","layer":0}]}
+{"id":164,"expression_no_base_symbol":"($1687$⨒$7217$)⨽∌($5344$⋝⋈⪟$4656$)","expression":"(≴∭⊉4630⨒≴∭⊉30020)⨽∌(≴∭⊉21403⋝⋈⪟≴∭⊉16401)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1687,"base":7},"right_expr":{"type":"numeric_atoms","value":7217,"base":7}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5344,"base":7},"right_expr":{"type":"numeric_atoms","value":4656,"base":7}}},"used_operators":["9samAPKr6k","y75s1iXyHd","2DDjHMKMc0"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1687","layer":2},{"info":"number node, value=7217","layer":2},{"info":"compute binary expreesion, left_input=1687, right_input=7217, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9750","layer":1},{"info":"number node, value=5344","layer":2},{"info":"number node, value=4656","layer":2},{"info":"compute binary expreesion, left_input=5344, right_input=4656, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5344","layer":1},{"info":"compute binary expreesion, left_input=-9750, right_input=5344, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4630⨒≴∭⊉30020)⨽∌(≴∭⊉21403⋝⋈⪟≴∭⊉16401)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉4630⨒≴∭⊉30020)⨽∌(≴∭⊉21403⋝⋈⪟≴∭⊉16401)","cot":[{"info":"≴∭⊉4630⨒≴∭⊉30020=≴∭⊉-40266","layer":1},{"info":"≴∭⊉21403⋝⋈⪟≴∭⊉16401=≴∭⊉21403","layer":1},{"info":"≴∭⊉-40266⨽∌≴∭⊉21403=≴∭⊉0","layer":0}]}
+{"id":165,"expression_no_base_symbol":"(⩦⊞$4741$)⫰⋱($4200$⪉⨛$3795$)","expression":"(⩦⊞≴∭⊉16552)⫰⋱(≴∭⊉15150⪉⨛≴∭⊉14031)","highest_n_order":1,"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":4741,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4200,"base":7},"right_expr":{"type":"numeric_atoms","value":3795,"base":7}}},"used_operators":["6o9Blt3TJ6","u7fv1HBiaC","EWw2JM7wp4"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≴∭⊉16060","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4741","layer":2},{"info":"compute unary expreesion, input=4741, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4468","layer":1},{"info":"number node, value=4200","layer":2},{"info":"number node, value=3795","layer":2},{"info":"compute binary expreesion, left_input=4200, right_input=3795, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9020","layer":1},{"info":"compute binary expreesion, left_input=-4468, right_input=9020, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4501","layer":0}],"base":7,"result_base":7,"text":"(⩦⊞≴∭⊉16552)⫰⋱(≴∭⊉15150⪉⨛≴∭⊉14031)=≴∭⊉16060","reverse_text":"≴∭⊉16060=(⩦⊞≴∭⊉16552)⫰⋱(≴∭⊉15150⪉⨛≴∭⊉14031)","cot":[{"info":"⩦⊞≴∭⊉16552=≴∭⊉-16012","layer":1},{"info":"≴∭⊉15150⪉⨛≴∭⊉14031=≴∭⊉35204","layer":1},{"info":"≴∭⊉-16012⫰⋱≴∭⊉35204=≴∭⊉16060","layer":0}]}
+{"id":166,"expression_no_base_symbol":"($1542$⊹∫⫚$1462$)⫣⪄⊒($5644$⊲⩕⊾$6417$)","expression":"(≴∭⊉4332⊹∫⫚≴∭⊉4156)⫣⪄⊒(≴∭⊉22312⊲⩕⊾≴∭⊉24465)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1542,"base":7},"right_expr":{"type":"numeric_atoms","value":1462,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5644,"base":7},"right_expr":{"type":"numeric_atoms","value":6417,"base":7}}},"used_operators":["RabNbG55vr","uWAJUKEvyW","DmTXOeWf9t"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1542","layer":2},{"info":"number node, value=1462","layer":2},{"info":"compute binary expreesion, left_input=1542, right_input=1462, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":1},{"info":"number node, value=5644","layer":2},{"info":"number node, value=6417","layer":2},{"info":"compute binary expreesion, left_input=5644, right_input=6417, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-151104","layer":1},{"info":"compute binary expreesion, left_input=-92, right_input=-151104, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4332⊹∫⫚≴∭⊉4156)⫣⪄⊒(≴∭⊉22312⊲⩕⊾≴∭⊉24465)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉4332⊹∫⫚≴∭⊉4156)⫣⪄⊒(≴∭⊉22312⊲⩕⊾≴∭⊉24465)","cot":[{"info":"≴∭⊉4332⊹∫⫚≴∭⊉4156=≴∭⊉-161","layer":1},{"info":"≴∭⊉22312⊲⩕⊾≴∭⊉24465=≴∭⊉-1166352","layer":1},{"info":"≴∭⊉-161⫣⪄⊒≴∭⊉-1166352=≴∭⊉316","layer":0}]}
+{"id":167,"expression_no_base_symbol":"($2451$⩹$1815$)⪇≇⋚(⇵⪽$2617$)","expression":"(≴∭⊉10101⩹≴∭⊉5202)⪇≇⋚(⇵⪽≴∭⊉10426)","highest_n_order":4,"priority_hierarchical_complexity":3,"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":2451,"base":7},"right_expr":{"type":"numeric_atoms","value":1815,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2617,"base":7}}},"used_operators":["3sJ7IOPOlU","2Wsdkap16l","ZGCBLdVRRX"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","U7g4x0WXJJ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2451","layer":2},{"info":"number node, value=1815","layer":2},{"info":"compute binary expreesion, left_input=2451, right_input=1815, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1813","layer":1},{"info":"number node, value=2617","layer":2},{"info":"compute unary expreesion, input=2617, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1813, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10101⩹≴∭⊉5202)⪇≇⋚(⇵⪽≴∭⊉10426)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉10101⩹≴∭⊉5202)⪇≇⋚(⇵⪽≴∭⊉10426)","cot":[{"info":"≴∭⊉10101⩹≴∭⊉5202=≴∭⊉5200","layer":1},{"info":"⇵⪽≴∭⊉10426=NaN","layer":1},{"info":"≴∭⊉5200⪇≇⋚NaN=≴∭⊉0","layer":0}]}
+{"id":168,"expression_no_base_symbol":"($3024$⇼⇔∾$8112$)⪓⨏","expression":"(≴∭⊉11550⇼⇔∾≴∭⊉32436)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5256,"operation_count":2,"complexity_ratio":2628.0,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3024,"base":7},"right_expr":{"type":"numeric_atoms","value":8112,"base":7}}},"used_operators":["4X9JU4Jbn6","tifHPKVTfV"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3024","layer":2},{"info":"number node, value=8112","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=8112, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5088","layer":1},{"info":"compute unary expreesion, input=5088, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11550⇼⇔∾≴∭⊉32436)⪓⨏=NaN","reverse_text":"NaN=(≴∭⊉11550⇼⇔∾≴∭⊉32436)⪓⨏","cot":[{"info":"≴∭⊉11550⇼⇔∾≴∭⊉32436=≴∭⊉20556","layer":1},{"info":"≴∭⊉20556⪓⨏=NaN","layer":0}]}
+{"id":169,"expression_no_base_symbol":"($2385$⨸⪁$4018$)⇩","expression":"(≴∭⊉6645⨸⪁≴∭⊉14500)⇩","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":2385,"base":7},"right_expr":{"type":"numeric_atoms","value":4018,"base":7}}},"used_operators":["vRio1gEz1j","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe"],"result":"≴∭⊉52415","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2385","layer":2},{"info":"number node, value=4018","layer":2},{"info":"compute binary expreesion, left_input=2385, right_input=4018, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12806","layer":1},{"info":"compute unary expreesion, input=12806, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=12899","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6645⨸⪁≴∭⊉14500)⇩=≴∭⊉52415","reverse_text":"≴∭⊉52415=(≴∭⊉6645⨸⪁≴∭⊉14500)⇩","cot":[{"info":"≴∭⊉6645⨸⪁≴∭⊉14500=≴∭⊉52223","layer":1},{"info":"≴∭⊉52223⇩=≴∭⊉52415","layer":0}]}
+{"id":170,"expression_no_base_symbol":"$1489$⋾⨃∁$1046$∝$1891$⨽$5665$","expression":"≴∭⊉4225⋾⨃∁≴∭⊉3023∝≴∭⊉5341⨽≴∭⊉22342","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2984,"operation_count":3,"complexity_ratio":994.6666666666666,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1489,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1891,"base":7},"right_expr":{"type":"numeric_atoms","value":5665,"base":7}}},"used_operators":["cTDWOvIxvz","212REbPD9h","8HhzD0ZcuI"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≴∭⊉161614400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1489","layer":2},{"info":"number node, value=1046","layer":2},{"info":"compute binary expreesion, left_input=1489, right_input=1046, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=10928514","layer":1},{"info":"number node, value=1891","layer":2},{"info":"number node, value=5665","layer":2},{"info":"compute binary expreesion, left_input=1891, right_input=5665, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10743324","layer":1},{"info":"compute binary expreesion, left_input=10928514, right_input=-10743324, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=10928519","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4225⋾⨃∁≴∭⊉3023∝≴∭⊉5341⨽≴∭⊉22342=≴∭⊉161614400","reverse_text":"≴∭⊉161614400=≴∭⊉4225⋾⨃∁≴∭⊉3023∝≴∭⊉5341⨽≴∭⊉22342","cot":[{"info":"≴∭⊉4225⋾⨃∁≴∭⊉3023=≴∭⊉161614362","layer":1},{"info":"≴∭⊉5341⨽≴∭⊉22342=≴∭⊉-160213434","layer":1},{"info":"≴∭⊉161614362∝≴∭⊉-160213434=≴∭⊉161614400","layer":0}]}
+{"id":171,"expression_no_base_symbol":"$1593$⩖⊿$1377$⊦⊿","expression":"≴∭⊉4434⩖⊿≴∭⊉4005⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1593,"base":7},"right_expr":{"type":"numeric_atoms","value":1377,"base":7}}},"used_operators":["14qkJME0vr","RZ5CV9rWsJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≴∭⊉-55063","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":2},{"info":"number node, value=1377","layer":2},{"info":"compute binary expreesion, left_input=1593, right_input=1377, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=4562","layer":1},{"info":"compute unary expreesion, input=4562, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13765","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4434⩖⊿≴∭⊉4005⊦⊿=���∭⊉-55063","reverse_text":"≴∭⊉-55063=≴∭⊉4434⩖⊿≴∭⊉4005⊦⊿","cot":[{"info":"≴∭⊉4434⩖⊿≴∭⊉4005=≴∭⊉16205","layer":1},{"info":"≴∭⊉16205⊦⊿=≴∭⊉-55063","layer":0}]}
+{"id":172,"expression_no_base_symbol":"($2022$⪒$2845$)⪃↞⩐","expression":"(≴∭⊉5616⪒≴∭⊉11203)⪃↞⩐","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":716,"operation_count":2,"complexity_ratio":358.0,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2022,"base":7},"right_expr":{"type":"numeric_atoms","value":2845,"base":7}}},"used_operators":["grXIztHqDa","f6k1SAg4EE"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉10244011666","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":2},{"info":"number node, value=2845","layer":2},{"info":"compute binary expreesion, left_input=2022, right_input=2845, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4867","layer":1},{"info":"compute unary expreesion, input=-4867, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=297772705","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5616⪒≴∭⊉11203)⪃↞⩐=≴∭⊉10244011666","reverse_text":"≴∭⊉10244011666=(≴∭⊉5616⪒≴∭⊉11203)⪃↞⩐","cot":[{"info":"≴∭⊉5616⪒≴∭⊉11203=≴∭⊉-20122","layer":1},{"info":"≴∭⊉-20122⪃↞⩐=≴∭⊉10244011666","layer":0}]}
+{"id":173,"expression_no_base_symbol":"$1163$⇍⊗$6716$⫌⩉⩟$1346$⨑⩅≇$1212$","expression":"≴∭⊉3251⇍⊗≴∭⊉25403⫌⩉⩟≴∭⊉3632⨑⩅≇≴∭⊉3351","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25279,"operation_count":3,"complexity_ratio":8426.333333333334,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1163,"base":7},"right_expr":{"type":"numeric_atoms","value":6716,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1346,"base":7},"right_expr":{"type":"numeric_atoms","value":1212,"base":7}}},"used_operators":["XIIwhv8d0m","5uvYHDjeKN","h92wMvzauj"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":2},{"info":"number node, value=6716","layer":2},{"info":"compute binary expreesion, left_input=1163, right_input=6716, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1346","layer":2},{"info":"number node, value=1212","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=1212, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4038","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-4038, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3251⇍⊗≴∭⊉25403⫌⩉⩟≴∭⊉3632⨑⩅≇≴∭⊉3351=≴∭⊉-101","reverse_text":"≴∭⊉-101=≴∭⊉3251⇍⊗≴∭⊉25403⫌⩉⩟≴∭⊉3632⨑⩅≇≴∭⊉3351","cot":[{"info":"≴∭⊉3251⇍⊗≴∭⊉25403=≴∭⊉-466","layer":1},{"info":"≴∭⊉3632⨑⩅≇≴∭⊉3351=≴∭⊉-14526","layer":1},{"info":"≴∭⊉-466⫌⩉⩟≴∭⊉-14526=≴∭⊉-101","layer":0}]}
+{"id":174,"expression_no_base_symbol":"(-$2030$)⫁($2683$⩧⪆$6567$)","expression":"(-≴∭⊉5630)⫁(≴∭⊉10552⩧⪆≴∭⊉25101)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19785,"operation_count":3,"complexity_ratio":6595.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2030,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2683,"base":7},"right_expr":{"type":"numeric_atoms","value":6567,"base":7}}},"used_operators":["0ajvFaJAv0","t8gj7n24qd","Ikt5ks8PT7"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2030","layer":2},{"info":"compute unary expreesion, input=2030, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2030","layer":1},{"info":"number node, value=2683","layer":2},{"info":"number node, value=6567","layer":2},{"info":"compute binary expreesion, left_input=2683, right_input=6567, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6567","layer":1},{"info":"compute binary expreesion, left_input=-2030, right_input=-6567, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(-≴∭⊉5630)⫁(≴∭⊉10552⩧⪆≴∭⊉25101)=≴∭⊉316","reverse_text":"≴∭⊉316=(-≴∭⊉5630)⫁(≴∭⊉10552⩧⪆≴∭⊉25101)","cot":[{"info":"-≴∭⊉5630=≴∭⊉-5630","layer":1},{"info":"≴∭⊉10552⩧⪆≴∭⊉25101=≴∭⊉-25101","layer":1},{"info":"≴∭⊉-5630⫁≴∭⊉-25101=≴∭⊉316","layer":0}]}
+{"id":175,"expression_no_base_symbol":"(⨙⪌$1068$)⨐($3362$≨$6734$)","expression":"(⨙⪌≴∭⊉3054)⨐(≴∭⊉12542≨≴∭⊉25430)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":985,"operation_count":3,"complexity_ratio":328.3333333333333,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1068,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3362,"base":7},"right_expr":{"type":"numeric_atoms","value":6734,"base":7}}},"used_operators":["Noe24qw2ks","vEGLkm4Z2k","0KMCeP1Jsh"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≴∭⊉-5030","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":2},{"info":"compute unary expreesion, input=1068, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=3362","layer":2},{"info":"number node, value=6734","layer":2},{"info":"compute binary expreesion, left_input=3362, right_input=6734, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-31144","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-31144, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1736","layer":0}],"base":7,"result_base":7,"text":"(⨙⪌≴∭⊉3054)⨐(≴∭⊉12542≨≴∭⊉25430)=≴∭⊉-5030","reverse_text":"≴∭⊉-5030=(⨙⪌≴∭⊉3054)⨐(≴∭⊉12542≨≴∭⊉25430)","cot":[{"info":"⨙⪌≴∭⊉3054=≴∭⊉2350","layer":1},{"info":"≴∭⊉12542≨≴∭⊉25430=≴∭⊉-156541","layer":1},{"info":"≴∭⊉2350⨐≴∭⊉-156541=≴∭⊉-5030","layer":0}]}
+{"id":176,"expression_no_base_symbol":"($1751$⩚⊴⇥$1058$)⊉↱≁$3944$⩣⫁∢$4483$","expression":"(≴∭⊉5051⩚⊴⇥≴∭⊉3041)⊉↱≁≴∭⊉14333⩣⫁∢≴∭⊉16033","highest_n_order":1,"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":1751,"base":7},"right_expr":{"type":"numeric_atoms","value":1058,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3944,"base":7},"right_expr":{"type":"numeric_atoms","value":4483,"base":7}}},"used_operators":["w2P8NbNXyL","NTOWxs364D","JDUIKTTSIa"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉100410","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1751","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=1751, right_input=1058, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2930","layer":1},{"info":"number node, value=3944","layer":2},{"info":"number node, value=4483","layer":2},{"info":"compute binary expreesion, left_input=3944, right_input=4483, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7727","layer":1},{"info":"compute binary expreesion, left_input=-2930, right_input=-7727, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=17010","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5051⩚⊴⇥≴∭⊉3041)⊉↱≁≴∭⊉14333⩣⫁∢≴∭⊉16033=≴∭⊉100410","reverse_text":"≴∭⊉100410=(≴∭⊉5051⩚⊴⇥≴∭⊉3041)⊉↱≁≴∭⊉14333⩣⫁∢≴∭⊉16033","cot":[{"info":"≴∭⊉5051⩚⊴⇥≴∭⊉3041=≴∭⊉-11354","layer":1},{"info":"≴∭⊉14333⩣⫁∢≴∭⊉16033=≴∭⊉-31346","layer":1},{"info":"≴∭⊉-11354⊉↱≁≴∭⊉-31346=≴∭⊉100410","layer":0}]}
+{"id":177,"expression_no_base_symbol":"∨∊⋏($4288$∵≐)","expression":"∨∊⋏(≴∭⊉15334∵≐)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":73,"operation_count":2,"complexity_ratio":36.5,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":4288,"base":7}}},"used_operators":["R5aXW34M0v","59igzFyhWz"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"≴∭⊉366233","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4288","layer":2},{"info":"compute unary expreesion, input=4288, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=3342","layer":1},{"info":"compute unary expreesion, input=3342, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=67007","layer":0}],"base":7,"result_base":7,"text":"∨∊⋏(≴∭⊉15334∵≐)=≴∭⊉366233","reverse_text":"≴∭⊉366233=∨∊⋏(≴∭⊉15334∵≐)","cot":[{"info":"≴∭⊉15334∵≐=≴∭⊉12513","layer":1},{"info":"∨∊⋏≴∭⊉12513=≴∭⊉366233","layer":0}]}
+{"id":178,"expression_no_base_symbol":"$1796$∥⊢⊲$3498$⇷($1340$∑⇟⊟$4575$)","expression":"≴∭⊉5144∥⊢⊲≴∭⊉13125⇷(≴∭⊉3623∑⇟⊟≴∭⊉16224)","highest_n_order":4,"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":1796,"base":7},"right_expr":{"type":"numeric_atoms","value":3498,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1340,"base":7},"right_expr":{"type":"numeric_atoms","value":4575,"base":7}}},"used_operators":["mp7IySMOzn","v1UQAVDJRr","U7g4x0WXJJ"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","EBcxylXtPf","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1796","layer":2},{"info":"number node, value=3498","layer":2},{"info":"compute binary expreesion, left_input=1796, right_input=3498, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1340","layer":2},{"info":"number node, value=4575","layer":2},{"info":"compute binary expreesion, left_input=1340, right_input=4575, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5144∥⊢⊲≴∭⊉13125⇷(≴∭⊉3623∑⇟⊟≴∭⊉16224)=NaN","reverse_text":"NaN=≴∭⊉5144∥⊢⊲≴∭⊉13125⇷(≴∭⊉3623∑⇟⊟≴∭⊉16224)","cot":[{"info":"≴∭⊉5144∥⊢⊲≴∭⊉13125=NaN","layer":1},{"info":"≴∭⊉3623∑⇟⊟≴∭⊉16224=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
+{"id":179,"expression_no_base_symbol":"($1386$∝$1362$)⪚⩙≫","expression":"(≴∭⊉4020∝≴∭⊉3654)⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1386,"base":7},"right_expr":{"type":"numeric_atoms","value":1362,"base":7}}},"used_operators":["4n53wtyJvv","cTDWOvIxvz"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1386","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=1386, right_input=1362, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1391","layer":1},{"info":"compute unary expreesion, input=1391, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4020∝≴∭⊉3654)⪚⩙≫=NaN","reverse_text":"NaN=(≴∭⊉4020∝≴∭⊉3654)⪚⩙≫","cot":[{"info":"≴∭⊉4020∝≴∭⊉3654=≴∭⊉4025","layer":1},{"info":"≴∭⊉4025⪚⩙≫=NaN","layer":0}]}
+{"id":180,"expression_no_base_symbol":"($2855$≃$5766$)∑⇟⊟$1886$⩘$1437$","expression":"(≴∭⊉11216≃≴∭⊉22545)∑⇟⊟≴∭⊉5333⩘≴∭⊉4122","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25975,"operation_count":3,"complexity_ratio":8658.333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2855,"base":7},"right_expr":{"type":"numeric_atoms","value":5766,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1886,"base":7},"right_expr":{"type":"numeric_atoms","value":1437,"base":7}}},"used_operators":["U7g4x0WXJJ","YbVcJGFEVW","cHh1gJQ2o6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2855","layer":2},{"info":"number node, value=5766","layer":2},{"info":"compute binary expreesion, left_input=2855, right_input=5766, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-11460","layer":1},{"info":"number node, value=1886","layer":2},{"info":"number node, value=1437","layer":2},{"info":"compute binary expreesion, left_input=1886, right_input=1437, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-11460, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11216≃≴∭⊉22545)∑⇟⊟≴∭⊉5333⩘≴∭⊉4122=NaN","reverse_text":"NaN=(≴∭⊉11216≃≴∭⊉22545)∑⇟⊟≴∭⊉5333⩘≴∭⊉4122","cot":[{"info":"≴∭⊉11216≃≴∭⊉22545=≴∭⊉-45261","layer":1},{"info":"≴∭⊉5333⩘≴∭⊉4122=≴∭⊉316","layer":1},{"info":"≴∭⊉-45261∑⇟⊟≴∭⊉316=NaN","layer":0}]}
+{"id":181,"expression_no_base_symbol":"($1840$⋻⩜⩜$1753$)⋅⇍$7835$⪭$2406$","expression":"(≴∭⊉5236⋻⩜⩜≴∭⊉5053)⋅⇍≴∭⊉31562⪭≴∭⊉10005","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24558,"operation_count":3,"complexity_ratio":8186.0,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1840,"base":7},"right_expr":{"type":"numeric_atoms","value":1753,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":7835,"base":7},"right_expr":{"type":"numeric_atoms","value":2406,"base":7}}},"used_operators":["AdZkA7nFnk","oDCm7WA9JY","j9kHMeSvPp"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","COABgblf1C","xUOZtlo3hN"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1840","layer":2},{"info":"number node, value=1753","layer":2},{"info":"compute binary expreesion, left_input=1840, right_input=1753, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3680","layer":1},{"info":"number node, value=7835","layer":2},{"info":"number node, value=2406","layer":2},{"info":"compute binary expreesion, left_input=7835, right_input=2406, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=3680, right_input=5, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5236⋻⩜⩜≴∭⊉5053)⋅⇍≴∭⊉31562⪭≴∭⊉10005=≴∭⊉-31","reverse_text":"≴∭⊉-31=(≴∭⊉5236⋻⩜⩜≴∭⊉5053)⋅⇍≴∭⊉31562⪭≴∭⊉10005","cot":[{"info":"≴∭⊉5236⋻⩜⩜≴∭⊉5053=≴∭⊉13505","layer":1},{"info":"≴∭⊉31562⪭≴∭⊉10005=≴∭⊉5","layer":1},{"info":"≴∭⊉13505⋅⇍≴∭⊉5=≴∭⊉-31","layer":0}]}
+{"id":182,"expression_no_base_symbol":"(↯⪼$3179$)≓∲($1809$⪁$1639$)","expression":"(↯⪼≴∭⊉12161)≓∲(≴∭⊉5163⪁≴∭⊉4531)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":120815632,"operation_count":3,"complexity_ratio":40271877.333333336,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3179,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1809,"base":7},"right_expr":{"type":"numeric_atoms","value":1639,"base":7}}},"used_operators":["s1XTVnmDOJ","8jW3W4yZS5","I7sXao9hZE"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3179","layer":2},{"info":"compute unary expreesion, input=3179, 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=1809","layer":2},{"info":"number node, value=1639","layer":2},{"info":"compute binary expreesion, left_input=1809, right_input=1639, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↯⪼≴∭⊉12161)≓∲(≴∭⊉5163⪁≴∭⊉4531)=NaN","reverse_text":"NaN=(↯⪼≴∭⊉12161)≓∲(≴∭⊉5163⪁≴∭⊉4531)","cot":[{"info":"↯⪼≴∭⊉12161=≴∭⊉-30","layer":1},{"info":"≴∭⊉5163⪁≴∭⊉4531=NaN","layer":1},{"info":"≴∭⊉-30≓∲NaN=NaN","layer":0}]}
+{"id":183,"expression_no_base_symbol":"$2955$≎⪠$1554$⫰⋱(⇉-⫰$1252$)","expression":"≴∭⊉11421≎⪠≴∭⊉4350⫰⋱(⇉-⫰≴∭⊉3436)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19121,"operation_count":3,"complexity_ratio":6373.666666666667,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2955,"base":7},"right_expr":{"type":"numeric_atoms","value":1554,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1252,"base":7}}},"used_operators":["6o9Blt3TJ6","aNhz54LH3e","IGFM8TAlm9"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eH2TOUuTDT","eewbuw0ToL"],"result":"≴∭⊉-110632","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2955","layer":2},{"info":"number node, value=1554","layer":2},{"info":"compute binary expreesion, left_input=2955, right_input=1554, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=1252","layer":2},{"info":"compute unary expreesion, input=1252, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=20, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-19525","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11421≎⪠≴∭⊉4350⫰⋱(⇉-⫰≴∭⊉3436)=≴∭⊉-110632","reverse_text":"≴∭⊉-110632=≴∭⊉11421≎⪠≴∭⊉4350⫰⋱(⇉-⫰≴∭⊉3436)","cot":[{"info":"≴∭⊉11421≎⪠≴∭⊉4350=≴∭⊉111010","layer":1},{"info":"⇉-⫰≴∭⊉3436=≴∭⊉26","layer":1},{"info":"≴∭⊉111010⫰⋱≴∭⊉26=≴∭⊉-110632","layer":0}]}
+{"id":184,"expression_no_base_symbol":"($1049$⨸⪁$5959$)⪎↠$1203$⇡⇂$3697$","expression":"(≴∭⊉3026⨸⪁≴∭⊉23242)⪎↠≴∭⊉3336⇡⇂≴∭⊉13531","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18202,"operation_count":3,"complexity_ratio":6067.333333333333,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1049,"base":7},"right_expr":{"type":"numeric_atoms","value":5959,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1203,"base":7},"right_expr":{"type":"numeric_atoms","value":3697,"base":7}}},"used_operators":["3tVxb0NHM4","g55IO6H4Gj","UMwdvZNt44"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=5959","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=5959, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14016","layer":1},{"info":"number node, value=1203","layer":2},{"info":"number node, value=3697","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=3697, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14016, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3026⨸⪁≴∭⊉23242)⪎↠≴∭⊉3336⇡⇂≴∭⊉13531=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉3026⨸⪁≴∭⊉23242)⪎↠≴∭⊉3336⇡⇂≴∭⊉13531","cot":[{"info":"≴∭⊉3026⨸⪁≴∭⊉23242=≴∭⊉55602","layer":1},{"info":"≴∭⊉3336⇡⇂≴∭⊉13531=NaN","layer":1},{"info":"≴∭⊉55602⪎↠NaN=≴∭⊉316","layer":0}]}
+{"id":185,"expression_no_base_symbol":"($8027$⪘⨀)⪁$3042$⩘$1944$","expression":"(≴∭⊉32255⪘⨀)⪁≴∭⊉11604⩘≴∭⊉5445","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":411595,"operation_count":3,"complexity_ratio":137198.33333333334,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":8027,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3042,"base":7},"right_expr":{"type":"numeric_atoms","value":1944,"base":7}}},"used_operators":["I7sXao9hZE","aA7tF3KVD3","cHh1gJQ2o6"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8027","layer":2},{"info":"compute unary expreesion, input=8027, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-16635","layer":1},{"info":"number node, value=3042","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=3042, right_input=1944, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-16635, right_input=160, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32255⪘⨀)⪁≴∭⊉11604⩘≴∭⊉5445=NaN","reverse_text":"NaN=(≴∭⊉32255⪘⨀)⪁≴∭⊉11604⩘≴∭⊉5445","cot":[{"info":"≴∭⊉32255⪘⨀=≴∭⊉-66333","layer":1},{"info":"≴∭⊉11604⩘≴∭⊉5445=≴∭⊉316","layer":1},{"info":"≴∭⊉-66333⪁≴∭⊉316=NaN","layer":0}]}
+{"id":186,"expression_no_base_symbol":"($2183$≑≱⪘)⊉≛↸($1053$∀⋜↑)","expression":"(≴∭⊉6236≑≱⪘)⊉≛↸(≴∭⊉3033∀⋜↑)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2183,"base":7}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1053,"base":7}}},"used_operators":["DZ8iAZOCBD","tGSeddj7UK","KipPnG1M2J"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"≴∭⊉621520","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":2},{"info":"compute unary expreesion, input=2183, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=53123","layer":1},{"info":"number node, value=1053","layer":2},{"info":"compute unary expreesion, input=1053, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=53123, right_input=-484, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=106246","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6236≑≱⪘)⊉≛↸(≴∭⊉3033∀⋜↑)=≴∭⊉621520","reverse_text":"≴∭⊉621520=(≴∭⊉6236≑≱⪘)⊉≛↸(≴∭⊉3033∀⋜↑)","cot":[{"info":"≴∭⊉6236≑≱⪘=≴∭⊉310610","layer":1},{"info":"���∭⊉3033∀⋜↑=≴∭⊉-1261","layer":1},{"info":"≴∭⊉310610⊉≛↸≴∭⊉-1261=≴∭⊉621520","layer":0}]}
+{"id":187,"expression_no_base_symbol":"$5500$∋$1520$→⨶⪴$1229$≦↸$1864$","expression":"≴∭⊉22015∋≴∭⊉4301→⨶⪴≴∭⊉3404≦↸≴∭⊉5302","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":137,"operation_count":3,"complexity_ratio":45.666666666666664,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5500,"base":7},"right_expr":{"type":"numeric_atoms","value":1520,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1229,"base":7},"right_expr":{"type":"numeric_atoms","value":1864,"base":7}}},"used_operators":["bF6eod5Gvf","ukq6epAj5P","RygbFNSyEJ"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉111403525","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5500","layer":2},{"info":"number node, value=1520","layer":2},{"info":"compute binary expreesion, left_input=5500, right_input=1520, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3381768","layer":1},{"info":"number node, value=1229","layer":2},{"info":"number node, value=1864","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=1864, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5505","layer":1},{"info":"compute binary expreesion, left_input=3381768, right_input=-5505, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=6774514","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22015∋≴∭⊉4301→⨶⪴≴∭⊉3404≦↸≴∭⊉5302=≴∭⊉111403525","reverse_text":"≴∭⊉111403525=≴∭⊉22015∋≴∭⊉4301→⨶⪴≴∭⊉3404≦↸≴∭⊉5302","cot":[{"info":"≴∭⊉22015∋≴∭⊉4301=≴∭⊉40513245","layer":1},{"info":"≴∭⊉3404≦↸≴∭⊉5302=≴∭⊉-22023","layer":1},{"info":"≴∭⊉40513245→⨶⪴≴∭⊉-22023=≴∭⊉111403525","layer":0}]}
+{"id":188,"expression_no_base_symbol":"⋠∜$4571$↳≱$1300$","expression":"⋠∜≴∭⊉16220↳≱≴∭⊉3535","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":106,"operation_count":2,"complexity_ratio":53.0,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4571,"base":7},"right_expr":{"type":"numeric_atoms","value":1300,"base":7}}},"used_operators":["ZJpFhNJr3x","JwTKLfZU96"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≴∭⊉6442","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4571","layer":2},{"info":"number node, value=1300","layer":2},{"info":"compute binary expreesion, left_input=4571, right_input=1300, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=2284","layer":0}],"base":7,"result_base":7,"text":"⋠∜≴∭⊉16220↳≱≴∭⊉3535=≴∭⊉6442","reverse_text":"≴∭⊉6442=⋠∜≴∭⊉16220↳≱≴∭⊉3535","cot":[{"info":"≴∭⊉16220↳≱≴∭⊉3535=≴∭⊉0","layer":1},{"info":"⋠∜≴∭⊉0=≴∭⊉6442","layer":0}]}
+{"id":189,"expression_no_base_symbol":"($1322$∥⊢⊲$1480$)⇡⇂(↴⪽⋼$6850$)","expression":"(≴∭⊉3566∥⊢⊲≴∭⊉4213)⇡⇂(↴⪽⋼≴∭⊉25654)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41759,"operation_count":3,"complexity_ratio":13919.666666666666,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1322,"base":7},"right_expr":{"type":"numeric_atoms","value":1480,"base":7}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":6850,"base":7}}},"used_operators":["UMwdvZNt44","v1UQAVDJRr","5TUYCnJO6w"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","EBcxylXtPf","rGHVDoGpnC","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1322","layer":2},{"info":"number node, value=1480","layer":2},{"info":"compute binary expreesion, left_input=1322, right_input=1480, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=6850","layer":2},{"info":"compute unary expreesion, input=6850, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=6850","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6850, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3566∥⊢⊲≴∭⊉4213)⇡⇂(↴⪽⋼≴∭⊉25654)=NaN","reverse_text":"NaN=(≴∭⊉3566∥⊢⊲≴∭⊉4213)⇡⇂(↴⪽⋼≴∭⊉25654)","cot":[{"info":"≴∭⊉3566∥⊢⊲≴∭⊉4213=NaN","layer":1},{"info":"↴⪽⋼≴∭⊉25654=≴∭⊉25654","layer":1},{"info":"NaN⇡⇂≴∭⊉25654=NaN","layer":0}]}
+{"id":190,"expression_no_base_symbol":"($2391$∪⫐$1655$)⪛(∥⊫$1725$)","expression":"(≴∭⊉6654∪⫐≴∭⊉4553)⪛(∥⊫≴∭⊉5013)","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":2391,"base":7},"right_expr":{"type":"numeric_atoms","value":1655,"base":7}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1725,"base":7}}},"used_operators":["uFcxV4UQCh","7YooWSwCyH","P8v4zCKN1o"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉6654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2391","layer":2},{"info":"number node, value=1655","layer":2},{"info":"compute binary expreesion, left_input=2391, right_input=1655, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2391","layer":1},{"info":"number node, value=1725","layer":2},{"info":"compute unary expreesion, input=1725, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2593","layer":1},{"info":"compute binary expreesion, left_input=2391, right_input=2593, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2391","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6654∪⫐≴∭⊉4553)⪛(∥⊫≴∭⊉5013)=≴∭⊉6654","reverse_text":"≴∭⊉6654=(≴∭⊉6654∪⫐≴∭⊉4553)⪛(∥⊫≴∭⊉5013)","cot":[{"info":"≴∭⊉6654∪⫐≴∭⊉4553=≴∭⊉6654","layer":1},{"info":"∥⊫≴∭⊉5013=≴∭⊉10363","layer":1},{"info":"≴∭⊉6654⪛≴∭⊉10363=≴∭⊉6654","layer":0}]}
+{"id":191,"expression_no_base_symbol":"$8484$⇼⇔∾$1861$⨑≵⋬$2109$⪭≯$1686$","expression":"≴∭⊉33510⇼⇔∾≴∭⊉5266⨑≵⋬≴∭⊉6102⪭≯≴∭⊉4626","highest_n_order":5,"priority_hierarchical_complexity":2,"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":8484,"base":7},"right_expr":{"type":"numeric_atoms","value":1861,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2109,"base":7},"right_expr":{"type":"numeric_atoms","value":1686,"base":7}}},"used_operators":["XnXgA4xnOs","tifHPKVTfV","XAx5wpdLa6"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8484","layer":2},{"info":"number node, value=1861","layer":2},{"info":"compute binary expreesion, left_input=8484, right_input=1861, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6623","layer":1},{"info":"number node, value=2109","layer":2},{"info":"number node, value=1686","layer":2},{"info":"compute binary expreesion, left_input=2109, right_input=1686, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6623, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉33510⇼⇔∾≴∭⊉5266⨑≵⋬≴∭⊉6102⪭≯≴∭⊉4626=NaN","reverse_text":"NaN=≴∭⊉33510⇼⇔∾≴∭⊉5266⨑≵⋬≴∭⊉6102⪭≯≴∭⊉4626","cot":[{"info":"≴∭⊉33510⇼⇔∾≴∭⊉5266=≴∭⊉-25211","layer":1},{"info":"≴∭⊉6102⪭≯≴∭⊉4626=NaN","layer":1},{"info":"≴∭⊉-25211⨑≵⋬NaN=NaN","layer":0}]}
+{"id":192,"expression_no_base_symbol":"⇠$4206$≴⪞⇿$1019$","expression":"⇠≴∭⊉15156≴⪞⇿≴∭⊉2654","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3977,"operation_count":2,"complexity_ratio":1988.5,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4206,"base":7},"right_expr":{"type":"numeric_atoms","value":1019,"base":7}}},"used_operators":["18saOjeKKm","lvlrscuwVU"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"≴∭⊉-523650151","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4206","layer":2},{"info":"number node, value=1019","layer":2},{"info":"compute binary expreesion, left_input=4206, right_input=1019, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=30937212","layer":1},{"info":"compute unary expreesion, input=30937212, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-30936970","layer":0}],"base":7,"result_base":7,"text":"⇠≴∭⊉15156≴⪞⇿≴∭⊉2654=≴∭⊉-523650151","reverse_text":"≴∭⊉-523650151=⇠≴∭⊉15156≴⪞⇿≴∭⊉2654","cot":[{"info":"≴∭⊉15156≴⪞⇿≴∭⊉2654=≴∭⊉523650645","layer":1},{"info":"⇠≴∭⊉523650645=≴∭⊉-523650151","layer":0}]}
+{"id":193,"expression_no_base_symbol":"⫟(↔$4322$)","expression":"⫟(↔≴∭⊉15413)","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":4322,"base":7}}},"used_operators":["z4E1FaHLuy","ruOEQAzv1W"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"≴∭⊉14053","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4322","layer":2},{"info":"compute unary expreesion, input=4322, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4049","layer":1},{"info":"compute unary expreesion, input=-4049, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=3811","layer":0}],"base":7,"result_base":7,"text":"⫟(↔≴∭⊉15413)=≴∭⊉14053","reverse_text":"≴∭⊉14053=⫟(↔≴∭⊉15413)","cot":[{"info":"↔≴∭⊉15413=≴∭⊉-14543","layer":1},{"info":"⫟≴∭⊉-14543=≴∭⊉14053","layer":0}]}
+{"id":194,"expression_no_base_symbol":"($2467$⪇≇⋚$2826$)⫁($5686$∺≝⩲$1809$)","expression":"(≴∭⊉10123⪇≇⋚≴∭⊉11145)⫁(≴∭⊉22402∺≝⩲≴∭⊉5163)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":114,"operation_count":3,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2467,"base":7},"right_expr":{"type":"numeric_atoms","value":2826,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5686,"base":7},"right_expr":{"type":"numeric_atoms","value":1809,"base":7}}},"used_operators":["0ajvFaJAv0","3sJ7IOPOlU","KPf6cnQVty"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2467","layer":2},{"info":"number node, value=2826","layer":2},{"info":"compute binary expreesion, left_input=2467, right_input=2826, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=5686","layer":2},{"info":"number node, value=1809","layer":2},{"info":"compute binary expreesion, left_input=5686, right_input=1809, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10123⪇≇⋚≴∭⊉11145)⫁(≴∭⊉22402∺≝⩲≴∭⊉5163)=≴∭⊉316","reverse_text":"��∭⊉316=(≴∭⊉10123⪇≇⋚≴∭⊉11145)⫁(≴∭⊉22402∺≝⩲≴∭⊉5163)","cot":[{"info":"≴∭⊉10123⪇≇⋚≴∭⊉11145=≴∭⊉0","layer":1},{"info":"≴∭⊉22402∺≝⩲≴∭⊉5163=≴∭⊉316","layer":1},{"info":"≴∭⊉0⫁≴∭⊉316=≴∭⊉316","layer":0}]}
+{"id":195,"expression_no_base_symbol":"(≅≯⇸$3242$)⇔⨋","expression":"(≅≯⇸≴∭⊉12311)⇔⨋","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3242,"base":7}}},"used_operators":["uBihLCJcMX","apS25hmuAe"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉1021006","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":2},{"info":"compute unary expreesion, input=3242, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=20645","layer":1},{"info":"compute unary expreesion, input=20645, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=122800","layer":0}],"base":7,"result_base":7,"text":"(≅≯⇸≴∭⊉12311)⇔⨋=≴∭⊉1021006","reverse_text":"≴∭⊉1021006=(≅≯⇸≴∭⊉12311)⇔⨋","cot":[{"info":"≅≯⇸≴∭⊉12311=≴∭⊉114122","layer":1},{"info":"≴∭⊉114122⇔⨋=≴∭⊉1021006","layer":0}]}
+{"id":196,"expression_no_base_symbol":"($2951$⫥∨⫟$4422$)↢($3315$⪄$1482$)","expression":"(≴∭⊉11414⫥∨⫟≴∭⊉15615)↢(≴∭⊉12444⪄≴∭⊉4215)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":261,"operation_count":3,"complexity_ratio":87.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2951,"base":7},"right_expr":{"type":"numeric_atoms","value":4422,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3315,"base":7},"right_expr":{"type":"numeric_atoms","value":1482,"base":7}}},"used_operators":["WR6HLWljOP","KYD54nUTWz","SUmda5xLS4"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2951","layer":2},{"info":"number node, value=4422","layer":2},{"info":"compute binary expreesion, left_input=2951, right_input=4422, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3315","layer":2},{"info":"number node, value=1482","layer":2},{"info":"compute binary expreesion, left_input=3315, right_input=1482, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-492637","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-492637, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11414⫥∨⫟≴∭⊉15615)↢(≴∭⊉12444⪄≴∭⊉4215)=NaN","reverse_text":"NaN=(≴∭⊉11414⫥∨⫟≴∭⊉15615)↢(≴∭⊉12444⪄≴∭⊉4215)","cot":[{"info":"≴∭⊉11414⫥∨⫟≴∭⊉15615=NaN","layer":1},{"info":"≴∭⊉12444⪄≴∭⊉4215=≴∭⊉-4121155","layer":1},{"info":"NaN↢≴∭⊉-4121155=NaN","layer":0}]}
+{"id":197,"expression_no_base_symbol":"($1300$⪕$1142$)⨔⇊$1122$⨿$1879$","expression":"(≴∭⊉3535⪕≴∭⊉3221)⨔⇊≴∭⊉3162⨿≴∭⊉5323","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":258,"operation_count":3,"complexity_ratio":86.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1300,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1122,"base":7},"right_expr":{"type":"numeric_atoms","value":1879,"base":7}}},"used_operators":["JclMnS0uGI","umQnsF7QlU","abYXlopdE0"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1300","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=1300, right_input=1142, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2359","layer":1},{"info":"number node, value=1122","layer":2},{"info":"number node, value=1879","layer":2},{"info":"compute binary expreesion, left_input=1122, right_input=1879, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=2359, right_input=-319, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3535⪕≴∭⊉3221)⨔⇊≴∭⊉3162⨿≴∭⊉5323=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉3535⪕≴∭⊉3221)⨔⇊≴∭⊉3162⨿≴∭⊉5323","cot":[{"info":"≴∭⊉3535⪕≴∭⊉3221=≴∭⊉6610","layer":1},{"info":"≴∭⊉3162⨿≴∭⊉5323=≴∭⊉-634","layer":1},{"info":"≴∭⊉6610⨔⇊≴∭⊉-634=≴∭⊉124","layer":0}]}
+{"id":198,"expression_no_base_symbol":"($5852$∕⩚$2337$)%(⨝⨆$1139$)","expression":"(≴∭⊉23030∕⩚≴∭⊉6546)%(⨝⨆≴∭⊉3215)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5875,"operation_count":3,"complexity_ratio":1958.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5852,"base":7},"right_expr":{"type":"numeric_atoms","value":2337,"base":7}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1139,"base":7}}},"used_operators":["k8jYdgA6NY","z9ffQ9n5Zr","bQ67fsrMVf"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","tifHPKVTfV"],"result":"≴∭⊉1624","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5852","layer":2},{"info":"number node, value=2337","layer":2},{"info":"compute binary expreesion, left_input=5852, right_input=2337, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5855","layer":1},{"info":"number node, value=1139","layer":2},{"info":"compute unary expreesion, input=1139, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=930","layer":1},{"info":"compute binary expreesion, left_input=-5855, right_input=930, op_id = k8jYdgA6NY binary_op_definition= 'None', output=655","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23030∕⩚≴∭⊉6546)%(⨝⨆≴∭⊉3215)=≴∭⊉1624","reverse_text":"≴∭⊉1624=(≴∭⊉23030∕⩚≴∭⊉6546)%(⨝⨆≴∭⊉3215)","cot":[{"info":"≴∭⊉23030∕⩚≴∭⊉6546=≴∭⊉-23033","layer":1},{"info":"⨝⨆≴∭⊉3215=≴∭⊉2466","layer":1},{"info":"≴∭⊉-23033%≴∭⊉2466=≴∭⊉1624","layer":0}]}
+{"id":199,"expression_no_base_symbol":"(⩷⨜⫀$3813$)⫦⪉$3039$⪮%⊝$1707$","expression":"(⩷⨜⫀≴∭⊉14055)⫦⪉≴∭⊉11601⪮%⊝≴∭⊉4656","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":3813,"base":7}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3039,"base":7},"right_expr":{"type":"numeric_atoms","value":1707,"base":7}}},"used_operators":["wscyQdcy20","CDi0ktkjQ4","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≴∭⊉43555","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3813","layer":2},{"info":"compute unary expreesion, input=3813, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3540","layer":1},{"info":"number node, value=3039","layer":2},{"info":"number node, value=1707","layer":2},{"info":"compute binary expreesion, left_input=3039, right_input=1707, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6394","layer":1},{"info":"compute binary expreesion, left_input=-3540, right_input=6394, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=10918","layer":0}],"base":7,"result_base":7,"text":"(⩷⨜⫀≴∭⊉14055)⫦⪉≴∭⊉11601⪮%⊝≴∭⊉4656=≴∭⊉43555","reverse_text":"≴∭⊉43555=(⩷⨜⫀≴∭⊉14055)⫦⪉≴∭⊉11601⪮%⊝≴∭⊉4656","cot":[{"info":"⩷⨜⫀≴∭⊉14055=≴∭⊉-13215","layer":1},{"info":"≴∭⊉11601⪮%⊝≴∭⊉4656=≴∭⊉24433","layer":1},{"info":"≴∭⊉-13215⫦⪉≴∭⊉24433=≴∭⊉43555","layer":0}]}
+{"id":200,"expression_no_base_symbol":"⨝⨆($6684$⨉)","expression":"⨝⨆(≴∭⊉25326⨉)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6695,"operation_count":2,"complexity_ratio":3347.5,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":6684,"base":7}}},"used_operators":["bQ67fsrMVf","aMUSaJuDRU"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"≴∭⊉63103","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6684","layer":2},{"info":"compute unary expreesion, input=6684, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=15696","layer":1},{"info":"compute unary expreesion, input=15696, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=15487","layer":0}],"base":7,"result_base":7,"text":"⨝⨆(≴∭⊉25326⨉)=≴∭⊉63103","reverse_text":"≴∭⊉63103=⨝⨆(≴∭⊉25326⨉)","cot":[{"info":"≴∭⊉25326⨉=≴∭⊉63522","layer":1},{"info":"⨝⨆≴∭⊉63522=≴∭⊉63103","layer":0}]}
+{"id":201,"expression_no_base_symbol":"($3796$∕⩚$5827$)⪭≯$3221$∊∟⩊$4397$","expression":"(≴∭⊉14032∕⩚≴∭⊉22663)⪭≯≴∭⊉12251∊∟⩊≴∭⊉15551","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10111,"operation_count":3,"complexity_ratio":3370.3333333333335,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3796,"base":7},"right_expr":{"type":"numeric_atoms","value":5827,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3221,"base":7},"right_expr":{"type":"numeric_atoms","value":4397,"base":7}}},"used_operators":["XAx5wpdLa6","z9ffQ9n5Zr","ddLRYrp01A"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3796","layer":2},{"info":"number node, value=5827","layer":2},{"info":"compute binary expreesion, left_input=3796, right_input=5827, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3799","layer":1},{"info":"number node, value=3221","layer":2},{"info":"number node, value=4397","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=4397, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4397","layer":1},{"info":"compute binary expreesion, left_input=-3799, right_input=4397, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14032∕⩚≴∭⊉22663)⪭≯≴∭⊉12251∊∟⩊≴∭⊉15551=NaN","reverse_text":"NaN=(≴∭⊉14032∕⩚≴∭⊉22663)⪭≯≴∭⊉12251∊∟⩊≴∭⊉15551","cot":[{"info":"≴∭⊉14032∕⩚≴∭⊉22663=≴∭⊉-14035","layer":1},{"info":"≴∭⊉12251∊∟⩊≴∭⊉15551=≴∭⊉15551","layer":1},{"info":"≴∭⊉-14035⪭≯≴∭⊉15551=NaN","layer":0}]}
+{"id":202,"expression_no_base_symbol":"$4887$⫘$4738$≥⨤⩑$1074$⩍⋽⫝̸$3014$","expression":"≴∭⊉20151⫘≴∭⊉16546≥⨤⩑≴∭⊉3063⩍⋽⫝̸≴∭⊉11534","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5117,"operation_count":3,"complexity_ratio":1705.6666666666667,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4887,"base":7},"right_expr":{"type":"numeric_atoms","value":4738,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1074,"base":7},"right_expr":{"type":"numeric_atoms","value":3014,"base":7}}},"used_operators":["gJLn6v0xnP","48vC8HMD2b","BiWNJpBvwn"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4887","layer":2},{"info":"number node, value=4738","layer":2},{"info":"compute binary expreesion, left_input=4887, right_input=4738, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5751517","layer":1},{"info":"number node, value=1074","layer":2},{"info":"number node, value=3014","layer":2},{"info":"compute binary expreesion, left_input=1074, right_input=3014, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2068","layer":1},{"info":"compute binary expreesion, left_input=5751517, right_input=2068, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20151⫘≴∭⊉16546≥⨤⩑≴∭⊉3063⩍⋽⫝̸≴∭⊉11534=≴∭⊉3412","reverse_text":"≴∭⊉3412=≴∭⊉20151⫘≴∭⊉16546≥⨤⩑≴∭⊉3063⩍⋽⫝̸≴∭⊉11534","cot":[{"info":"≴∭⊉20151⫘≴∭⊉16546=≴∭⊉66613162","layer":1},{"info":"≴∭⊉3063⩍⋽⫝̸≴∭⊉11534=≴∭⊉6013","layer":1},{"info":"≴∭⊉66613162≥⨤⩑≴∭⊉6013=≴∭⊉3412","layer":0}]}
+{"id":203,"expression_no_base_symbol":"$3172$⨚⇆$3710$+$2001$≚⊃≕$2350$","expression":"≴∭⊉12151⨚⇆≴∭⊉13550+≴∭⊉5556≚⊃≕≴∭⊉6565","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22255,"operation_count":3,"complexity_ratio":7418.333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3172,"base":7},"right_expr":{"type":"numeric_atoms","value":3710,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2001,"base":7},"right_expr":{"type":"numeric_atoms","value":2350,"base":7}}},"used_operators":["W4YGzv6Whe","lwHaAYXP2r","Bmrmz2XGnR"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3172","layer":2},{"info":"number node, value=3710","layer":2},{"info":"compute binary expreesion, left_input=3172, right_input=3710, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=2001","layer":2},{"info":"number node, value=2350","layer":2},{"info":"compute binary expreesion, left_input=2001, right_input=2350, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12151⨚⇆≴∭⊉13550+≴∭⊉5556≚⊃≕≴∭⊉6565=NaN","reverse_text":"NaN=≴∭⊉12151⨚⇆≴∭⊉13550+≴∭⊉5556≚⊃≕≴∭⊉6565","cot":[{"info":"≴∭⊉12151⨚⇆≴∭⊉13550=NaN","layer":1},{"info":"≴∭⊉5556≚⊃≕≴∭⊉6565=≴∭⊉124","layer":1},{"info":"NaN+≴∭⊉124=NaN","layer":0}]}
+{"id":204,"expression_no_base_symbol":"($4370$↱$3126$)⨻⩈⩔(∂⩏⊆$2721$)","expression":"(≴∭⊉15512↱≴∭⊉12054)⨻⩈⩔(∂⩏⊆≴∭⊉10635)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4370,"base":7},"right_expr":{"type":"numeric_atoms","value":3126,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2721,"base":7}}},"used_operators":["nEsXyWgiOK","SR5kFfdi6N","8WDwsbhb0R"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","14qkJME0vr","eLAdDNolq6"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4370","layer":2},{"info":"number node, value=3126","layer":2},{"info":"compute binary expreesion, left_input=4370, right_input=3126, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8856","layer":1},{"info":"number node, value=2721","layer":2},{"info":"compute unary expreesion, input=2721, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8242","layer":1},{"info":"compute binary expreesion, left_input=-8856, right_input=-8242, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15512↱≴∭⊉12054)⨻⩈⩔(∂⩏⊆≴∭⊉10635)=≴∭⊉-336","reverse_text":"≴∭⊉-336=(≴∭⊉15512↱≴∭⊉12054)⨻⩈⩔(∂⩏⊆≴∭⊉10635)","cot":[{"info":"≴∭⊉15512↱≴∭⊉12054=≴∭⊉-34551","layer":1},{"info":"∂⩏⊆≴∭⊉10635=≴∭⊉-33013","layer":1},{"info":"≴∭⊉-34551⨻⩈⩔≴∭⊉-33013=≴∭⊉-336","layer":0}]}
+{"id":205,"expression_no_base_symbol":"($1385$⇴$1310$)∘($3702$⋛$5754$)","expression":"(≴∭⊉4016⇴≴∭⊉3551)∘(≴∭⊉13536⋛≴∭⊉22530)","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":1385,"base":7},"right_expr":{"type":"numeric_atoms","value":1310,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3702,"base":7},"right_expr":{"type":"numeric_atoms","value":5754,"base":7}}},"used_operators":["Z5m6OM72h2","4JB6nKBMSY","YbUVn0Rbpy"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉-41430","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":2},{"info":"number node, value=1310","layer":2},{"info":"compute binary expreesion, left_input=1385, right_input=1310, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10544","layer":1},{"info":"number node, value=3702","layer":2},{"info":"number node, value=5754","layer":2},{"info":"compute binary expreesion, left_input=3702, right_input=5754, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-98874","layer":1},{"info":"compute binary expreesion, left_input=10544, right_input=-98874, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-10164","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4016⇴≴∭⊉3551)∘(≴∭⊉13536⋛≴∭⊉22530)=≴∭⊉-41430","reverse_text":"≴∭⊉-41430=(≴∭⊉4016⇴≴∭⊉3551)∘(≴∭⊉13536⋛≴∭⊉22530)","cot":[{"info":"≴∭⊉4016⇴≴∭⊉3551=≴∭⊉42512","layer":1},{"info":"≴∭⊉13536⋛≴∭⊉22530=≴∭⊉-561156","layer":1},{"info":"≴∭⊉42512∘≴∭⊉-561156=≴∭⊉-41430","layer":0}]}
+{"id":206,"expression_no_base_symbol":"($4135$⩭)∣($1529$⨻⩈⩔$1312$)","expression":"(≴∭⊉15025⩭)∣(≴∭⊉4313⨻⩈⩔≴∭⊉3553)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21505,"operation_count":3,"complexity_ratio":7168.333333333333,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":4135,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1529,"base":7},"right_expr":{"type":"numeric_atoms","value":1312,"base":7}}},"used_operators":["PPChnnnBFF","yIPP7u6H5x","nEsXyWgiOK"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4135","layer":2},{"info":"compute unary expreesion, input=4135, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"number node, value=1529","layer":2},{"info":"number node, value=1312","layer":2},{"info":"compute binary expreesion, left_input=1529, right_input=1312, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=3831","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3831, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15025⩭)∣(≴∭⊉4313⨻⩈⩔≴∭⊉3553)=NaN","reverse_text":"NaN=(≴∭⊉15025⩭)∣(≴∭⊉4313⨻⩈⩔≴∭⊉3553)","cot":[{"info":"≴∭⊉15025⩭=NaN","layer":1},{"info":"≴∭⊉4313⨻⩈⩔≴∭⊉3553=≴∭⊉14112","layer":1},{"info":"NaN∣≴∭⊉14112=NaN","layer":0}]}
+{"id":207,"expression_no_base_symbol":"$2980$⨑⩅≇$1213$⊋(∮$2234$)","expression":"≴∭⊉11455⨑⩅≇≴∭⊉3352⊋(∮≴∭⊉6341)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1635,"operation_count":3,"complexity_ratio":545.0,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2980,"base":7},"right_expr":{"type":"numeric_atoms","value":1213,"base":7}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2234,"base":7}}},"used_operators":["W4tP9CfskL","h92wMvzauj","CqXKPLVYql"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"≴∭⊉-14665","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2980","layer":2},{"info":"number node, value=1213","layer":2},{"info":"compute binary expreesion, left_input=2980, right_input=1213, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-8940","layer":1},{"info":"number node, value=2234","layer":2},{"info":"compute unary expreesion, input=2234, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-8940, right_input=67, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-4114","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11455⨑⩅≇≴∭⊉3352⊋(∮≴∭⊉6341)=≴∭⊉-14665","reverse_text":"≴∭⊉-14665=≴∭⊉11455⨑⩅≇≴∭⊉3352⊋(∮≴∭⊉6341)","cot":[{"info":"≴∭⊉11455⨑⩅≇≴∭⊉3352=≴∭⊉-35031","layer":1},{"info":"∮≴∭⊉6341=≴∭⊉124","layer":1},{"info":"≴∭⊉-35031⊋≴∭⊉124=≴∭⊉-14665","layer":0}]}
+{"id":208,"expression_no_base_symbol":"$1365$≨$1789$⨽($1466$⨒$8746$)","expression":"≴∭⊉3660≨≴∭⊉5134⨽(≴∭⊉4163⨒≴∭⊉34333)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11273,"operation_count":3,"complexity_ratio":3757.6666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1365,"base":7},"right_expr":{"type":"numeric_atoms","value":1789,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1466,"base":7},"right_expr":{"type":"numeric_atoms","value":8746,"base":7}}},"used_operators":["8HhzD0ZcuI","0KMCeP1Jsh","y75s1iXyHd"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"≴∭⊉-12165415245","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":2},{"info":"number node, value=1789","layer":2},{"info":"compute binary expreesion, left_input=1365, right_input=1789, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11174","layer":1},{"info":"number node, value=1466","layer":2},{"info":"number node, value=8746","layer":2},{"info":"compute binary expreesion, left_input=1466, right_input=8746, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-8424","layer":1},{"info":"compute binary expreesion, left_input=-11174, right_input=-8424, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-374548242","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3660≨≴∭⊉5134⨽(≴∭⊉4163⨒≴∭⊉34333)=≴∭⊉-12165415245","reverse_text":"≴∭⊉-12165415245=≴∭⊉3660≨≴∭⊉5134⨽(≴∭⊉4163⨒≴∭⊉34333)","cot":[{"info":"≴∭⊉3660≨≴∭⊉5134=≴∭⊉-44402","layer":1},{"info":"≴∭⊉4163⨒≴∭⊉34333=≴∭⊉-33363","layer":1},{"info":"≴∭⊉-44402⨽≴∭⊉-33363=≴∭⊉-12165415245","layer":0}]}
+{"id":209,"expression_no_base_symbol":"⊁⨺($2468$≃$5788$)","expression":"⊁⨺(≴∭⊉10124≃≴∭⊉22606)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2468,"base":7},"right_expr":{"type":"numeric_atoms","value":5788,"base":7}}},"used_operators":["PxiHyQbrIp","YbVcJGFEVW"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉-404001","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2468","layer":2},{"info":"number node, value=5788","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=5788, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9912","layer":1},{"info":"compute unary expreesion, input=-9912, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-68601","layer":0}],"base":7,"result_base":7,"text":"⊁⨺(≴∭⊉10124≃≴∭⊉22606)=≴∭⊉-404001","reverse_text":"≴∭⊉-404001=⊁⨺(≴∭⊉10124≃≴∭⊉22606)","cot":[{"info":"≴∭⊉10124≃≴∭⊉22606=≴∭⊉-40620","layer":1},{"info":"⊁⨺≴∭⊉-40620=≴∭⊉-404001","layer":0}]}
+{"id":210,"expression_no_base_symbol":"($1684$⫍⨯↯)⊝","expression":"(≴∭⊉4624⫍⨯↯)⊝","highest_n_order":4,"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":1684,"base":7}}},"used_operators":["O6EZ0fifGK","ZcwmYACASQ"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"≴∭⊉4546","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1684","layer":2},{"info":"compute unary expreesion, input=1684, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1651","layer":1},{"info":"compute unary expreesion, input=1651, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1651","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4624⫍⨯↯)⊝=≴∭⊉4546","reverse_text":"≴∭⊉4546=(≴∭⊉4624⫍⨯↯)⊝","cot":[{"info":"≴∭⊉4624⫍⨯↯=≴∭⊉4546","layer":1},{"info":"≴∭⊉4546⊝=≴∭⊉4546","layer":0}]}
+{"id":211,"expression_no_base_symbol":"$2029$→⨶⪴$1096$⨵⪆$4684$⇣⩺⋵$3976$","expression":"≴∭⊉5626→⨶⪴≴∭⊉3124⨵⪆≴∭⊉16441⇣⩺⋵≴∭⊉14410","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2029,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4684,"base":7},"right_expr":{"type":"numeric_atoms","value":3976,"base":7}}},"used_operators":["2DQ55sFlQl","bF6eod5Gvf","F4yD0voBRQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":2},{"info":"number node, value=1096","layer":2},{"info":"compute binary expreesion, left_input=2029, right_input=1096, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3288","layer":1},{"info":"number node, value=4684","layer":2},{"info":"number node, value=3976","layer":2},{"info":"compute binary expreesion, left_input=4684, right_input=3976, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-3288, right_input=-260, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5626→⨶⪴≴∭⊉3124⨵⪆≴∭⊉16441⇣⩺⋵≴∭⊉14410=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉5626→⨶⪴≴∭⊉3124⨵⪆≴∭⊉16441⇣⩺⋵≴∭⊉14410","cot":[{"info":"≴∭⊉5626→⨶⪴≴∭⊉3124=≴∭⊉-12405","layer":1},{"info":"≴∭⊉16441⇣⩺⋵≴∭⊉14410=≴∭⊉-521","layer":1},{"info":"≴∭⊉-12405⨵⪆≴∭⊉-521=≴∭⊉316","layer":0}]}
+{"id":212,"expression_no_base_symbol":"($2228$⫲)⇷(≸$1411$)","expression":"(≴∭⊉6332⫲)⇷(≸≴∭⊉4054)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27449,"operation_count":3,"complexity_ratio":9149.666666666666,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2228,"base":7}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1411,"base":7}}},"used_operators":["mp7IySMOzn","9xnGDUPbC6","eOf03JbCpp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"≴∭⊉224","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2228","layer":2},{"info":"compute unary expreesion, input=2228, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1955","layer":1},{"info":"number node, value=1411","layer":2},{"info":"compute unary expreesion, input=1411, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=1955, right_input=58, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=116","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6332⫲)⇷(≸≴∭⊉4054)=≴∭⊉224","reverse_text":"≴∭⊉224=(≴∭⊉6332⫲)⇷(≸≴∭⊉4054)","cot":[{"info":"≴∭⊉6332⫲=≴∭⊉5462","layer":1},{"info":"≸≴∭⊉4054=≴∭⊉112","layer":1},{"info":"≴∭⊉5462⇷≴∭⊉112=≴∭⊉224","layer":0}]}
+{"id":213,"expression_no_base_symbol":"($1427$⇟⨁⪰)⊴($6147$+$1599$)","expression":"(≴∭⊉4106⇟⨁⪰)⊴(≴∭⊉23631+≴∭⊉4443)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9863,"operation_count":3,"complexity_ratio":3287.6666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1427,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6147,"base":7},"right_expr":{"type":"numeric_atoms","value":1599,"base":7}}},"used_operators":["Nsiff2A1zJ","BX1lVwlMe0","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","2DDjHMKMc0","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":2},{"info":"compute unary expreesion, input=1427, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1601","layer":1},{"info":"number node, value=6147","layer":2},{"info":"number node, value=1599","layer":2},{"info":"compute binary expreesion, left_input=6147, right_input=1599, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7746","layer":1},{"info":"compute binary expreesion, left_input=-1601, right_input=7746, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4106⇟⨁⪰)⊴(≴∭⊉23631+≴∭⊉4443)=NaN","reverse_text":"NaN=(≴∭⊉4106⇟⨁⪰)⊴(≴∭⊉23631+≴∭⊉4443)","cot":[{"info":"≴∭⊉4106⇟⨁⪰=≴∭⊉-4445","layer":1},{"info":"≴∭⊉23631+≴∭⊉4443=≴∭⊉31404","layer":1},{"info":"≴∭⊉-4445⊴≴∭⊉31404=NaN","layer":0}]}
+{"id":214,"expression_no_base_symbol":"($1190$⪛⫼$1452$)⨟⋌⩍($1529$⫚↹⊑$1049$)","expression":"(≴∭⊉3320⪛⫼≴∭⊉4143)⨟⋌⩍(≴∭⊉4313⫚↹⊑≴∭⊉3026)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2416,"operation_count":3,"complexity_ratio":805.3333333333334,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1190,"base":7},"right_expr":{"type":"numeric_atoms","value":1452,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1529,"base":7},"right_expr":{"type":"numeric_atoms","value":1049,"base":7}}},"used_operators":["rGHVDoGpnC","hyuBjUqXlG","dfKe02y8D2"],"dependent_operators":["Tcnh7f0tEr","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":2},{"info":"number node, value=1452","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=1452, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=1529","layer":2},{"info":"number node, value=1049","layer":2},{"info":"compute binary expreesion, left_input=1529, right_input=1049, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-447, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3320⪛⫼≴∭⊉4143)⨟⋌⩍(≴∭⊉4313⫚↹⊑≴∭⊉3026)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉3320⪛⫼≴∭⊉4143)⨟⋌⩍(≴∭⊉4313⫚↹⊑≴∭⊉3026)","cot":[{"info":"≴∭⊉3320⪛⫼≴∭⊉4143=≴∭⊉2552","layer":1},{"info":"≴∭⊉4313⫚↹⊑≴∭⊉3026=≴∭⊉-1206","layer":1},{"info":"≴∭⊉2552⨟⋌⩍≴∭⊉-1206=≴∭⊉0","layer":0}]}
+{"id":215,"expression_no_base_symbol":"$3245$⇍⊗$1470$⋷($3267$⇞)","expression":"≴∭⊉12314⇍⊗≴∭⊉4200⋷(≴∭⊉12345⇞)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3245,"base":7},"right_expr":{"type":"numeric_atoms","value":1470,"base":7}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":3267,"base":7}}},"used_operators":["23Mk6UjR3U","5uvYHDjeKN","5JYyxRJd4f"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉1265","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3245","layer":2},{"info":"number node, value=1470","layer":2},{"info":"compute binary expreesion, left_input=3245, right_input=1470, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=3267","layer":2},{"info":"compute unary expreesion, input=3267, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=12981","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=12981, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=488","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12314⇍⊗≴∭⊉4200⋷(≴∭⊉12345⇞)=≴∭⊉1265","reverse_text":"≴∭⊉1265=≴∭⊉12314⇍⊗≴∭⊉4200⋷(≴∭⊉12345⇞)","cot":[{"info":"≴∭⊉12314⇍⊗≴∭⊉4200=≴∭⊉-466","layer":1},{"info":"≴∭⊉12345⇞=≴∭⊉52563","layer":1},{"info":"≴∭⊉-466⋷≴∭⊉52563=≴∭⊉1265","layer":0}]}
+{"id":216,"expression_no_base_symbol":"(⨑⩽⪐$2099$)∷$3195$⇮⋭$2443$","expression":"(⨑⩽⪐≴∭⊉6056)∷≴∭⊉12213⇮⋭≴∭⊉10060","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2099,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3195,"base":7},"right_expr":{"type":"numeric_atoms","value":2443,"base":7}}},"used_operators":["D3AQDKkPcf","AF7qkfDlqP","vkpjKywKVM"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≴∭⊉3003","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2099","layer":2},{"info":"compute unary expreesion, input=2099, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1826","layer":1},{"info":"number node, value=3195","layer":2},{"info":"number node, value=2443","layer":2},{"info":"compute binary expreesion, left_input=3195, right_input=2443, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-1826, right_input=-473, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1032","layer":0}],"base":7,"result_base":7,"text":"(⨑⩽⪐≴∭⊉6056)∷≴∭⊉12213⇮⋭≴∭⊉10060=≴∭⊉3003","reverse_text":"≴∭⊉3003=(⨑⩽⪐≴∭⊉6056)∷≴∭⊉12213⇮⋭≴∭⊉10060","cot":[{"info":"⨑⩽⪐≴∭⊉6056=≴∭⊉-5216","layer":1},{"info":"≴∭⊉12213⇮⋭≴∭⊉10060=≴∭⊉-1244","layer":1},{"info":"≴∭⊉-5216∷≴∭⊉-1244=��∭⊉3003","layer":0}]}
+{"id":217,"expression_no_base_symbol":"⊬↢($4958$∕⩚$4025$)","expression":"⊬↢(≴∭⊉20312∕⩚≴∭⊉14510)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7651,"operation_count":2,"complexity_ratio":3825.5,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4958,"base":7},"right_expr":{"type":"numeric_atoms","value":4025,"base":7}}},"used_operators":["WPoGxAaPR1","z9ffQ9n5Zr"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉-106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4958","layer":2},{"info":"number node, value=4025","layer":2},{"info":"compute binary expreesion, left_input=4958, right_input=4025, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4961","layer":1},{"info":"compute unary expreesion, input=-4961, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":0}],"base":7,"result_base":7,"text":"⊬↢(≴∭⊉20312∕⩚≴∭⊉14510)=≴∭⊉-106","reverse_text":"≴∭⊉-106=⊬↢(≴∭⊉20312∕⩚≴∭⊉14510)","cot":[{"info":"≴∭⊉20312∕⩚≴∭⊉14510=≴∭⊉-20315","layer":1},{"info":"⊬↢≴∭⊉-20315=≴∭⊉-106","layer":0}]}
+{"id":218,"expression_no_base_symbol":"($1765$↠)∋($3289$⨸⪁$1884$)","expression":"(≴∭⊉5101↠)∋(≴∭⊉12406⨸⪁≴∭⊉5331)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1765,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3289,"base":7},"right_expr":{"type":"numeric_atoms","value":1884,"base":7}}},"used_operators":["ukq6epAj5P","LBdsKIvxzf","g55IO6H4Gj"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe"],"result":"≴∭⊉346362020","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1765","layer":2},{"info":"compute unary expreesion, input=1765, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"number node, value=3289","layer":2},{"info":"number node, value=1884","layer":2},{"info":"compute binary expreesion, left_input=3289, right_input=1884, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10346","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=10346, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=21359996","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5101↠)∋(≴∭⊉12406⨸⪁≴∭⊉5331)=≴∭⊉346362020","reverse_text":"≴∭⊉346362020=(≴∭⊉5101↠)∋(≴∭⊉12406⨸⪁≴∭⊉5331)","cot":[{"info":"≴∭⊉5101↠=≴∭⊉-1206","layer":1},{"info":"≴∭⊉12406⨸⪁≴∭⊉5331=≴∭⊉42110","layer":1},{"info":"≴∭⊉-1206∋≴∭⊉42110=≴∭⊉346362020","layer":0}]}
+{"id":219,"expression_no_base_symbol":"($1932$⋭≵$5412$)⪃⊛⇣($6746$⪪$4979$)","expression":"(≴∭⊉5430⋭≵≴∭⊉21531)⪃⊛⇣(≴∭⊉25445⪪≴∭⊉20342)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25490,"operation_count":3,"complexity_ratio":8496.666666666666,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1932,"base":7},"right_expr":{"type":"numeric_atoms","value":5412,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6746,"base":7},"right_expr":{"type":"numeric_atoms","value":4979,"base":7}}},"used_operators":["rrgAzCduG9","jBncVCNhdl","xD69zh8xqp"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","FU0Cs4j7VP","JclMnS0uGI"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1932","layer":2},{"info":"number node, value=5412","layer":2},{"info":"compute binary expreesion, left_input=1932, right_input=5412, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=6746","layer":2},{"info":"number node, value=4979","layer":2},{"info":"compute binary expreesion, left_input=6746, right_input=4979, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1014735","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1014735, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5430⋭≵≴∭⊉21531)⪃⊛⇣(≴∭⊉25445⪪≴∭⊉20342)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉5430⋭≵≴∭⊉21531)⪃⊛⇣(≴∭⊉25445⪪≴∭⊉20342)","cot":[{"info":"≴∭⊉5430⋭≵≴∭⊉21531=≴∭⊉124","layer":1},{"info":"≴∭⊉25445⪪≴∭⊉20342=≴∭⊉-11424261","layer":1},{"info":"≴∭⊉124⪃⊛⇣≴∭⊉-11424261=≴∭⊉3412","layer":0}]}
+{"id":220,"expression_no_base_symbol":"(⫯$8425$)⪕$3221$∛$6667$","expression":"(⫯≴∭⊉33364)⪕≴∭⊉12251∛≴∭⊉25303","highest_n_order":3,"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":8425,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3221,"base":7},"right_expr":{"type":"numeric_atoms","value":6667,"base":7}}},"used_operators":["umQnsF7QlU","H6BK1Evt7c","w2537kitQq"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8425","layer":2},{"info":"compute unary expreesion, input=8425, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-339062","layer":1},{"info":"number node, value=3221","layer":2},{"info":"number node, value=6667","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=6667, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=-339062, right_input=-670, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":7,"result_base":7,"text":"(⫯≴∭⊉33364)⪕≴∭⊉12251∛≴∭⊉25303=≴∭⊉2504","reverse_text":"≴∭⊉2504=(⫯≴∭⊉33364)⪕≴∭⊉12251∛≴∭⊉25303","cot":[{"info":"⫯≴∭⊉33364=≴∭⊉-2611343","layer":1},{"info":"≴∭⊉12251∛≴∭⊉25303=≴∭⊉-1645","layer":1},{"info":"≴∭⊉-2611343⪕≴∭⊉-1645=≴∭⊉2504","layer":0}]}
+{"id":221,"expression_no_base_symbol":"$2464$⫘$1528$⩍⋽⫝̸($4805$⋓$3141$)","expression":"≴∭⊉10120⫘≴∭⊉4312⩍⋽⫝̸(≴∭⊉20003⋓≴∭⊉12105)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2699,"operation_count":3,"complexity_ratio":899.6666666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2464,"base":7},"right_expr":{"type":"numeric_atoms","value":1528,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4805,"base":7},"right_expr":{"type":"numeric_atoms","value":3141,"base":7}}},"used_operators":["BiWNJpBvwn","48vC8HMD2b","T2fj7uvVaJ"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≴∭⊉-416","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2464","layer":2},{"info":"number node, value=1528","layer":2},{"info":"compute binary expreesion, left_input=2464, right_input=1528, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2902069","layer":1},{"info":"number node, value=4805","layer":2},{"info":"number node, value=3141","layer":2},{"info":"compute binary expreesion, left_input=4805, right_input=3141, op_id = T2fj7uvVaJ binary_op_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=2902069, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10120⫘≴∭⊉4312⩍⋽⫝̸(≴∭⊉20003⋓≴∭⊉12105)=≴∭⊉-416","reverse_text":"≴∭⊉-416=≴∭⊉10120⫘≴∭⊉4312⩍⋽⫝̸(≴∭⊉20003⋓≴∭⊉12105)","cot":[{"info":"≴∭⊉10120⫘≴∭⊉4312=≴∭⊉33444562","layer":1},{"info":"≴∭⊉20003⋓≴∭⊉12105=≴∭⊉0","layer":1},{"info":"≴∭⊉33444562⩍⋽⫝̸≴∭⊉0=≴∭⊉-416","layer":0}]}
+{"id":222,"expression_no_base_symbol":"$7312$⫞⩸⩒$1282$⇴($1103$≃$3389$)","expression":"≴∭⊉30214⫞⩸⩒≴∭⊉3511⇴(≴∭⊉3134≃≴∭⊉12611)","highest_n_order":2,"priority_hierarchical_complexity":3,"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":7312,"base":7},"right_expr":{"type":"numeric_atoms","value":1282,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1103,"base":7},"right_expr":{"type":"numeric_atoms","value":3389,"base":7}}},"used_operators":["4JB6nKBMSY","XGcMNugi78","YbVcJGFEVW"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉-4442","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7312","layer":2},{"info":"number node, value=1282","layer":2},{"info":"compute binary expreesion, left_input=7312, right_input=1282, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1282","layer":1},{"info":"number node, value=1103","layer":2},{"info":"number node, value=3389","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=3389, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4452","layer":1},{"info":"compute binary expreesion, left_input=1282, right_input=-4452, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-1598","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉30214⫞⩸⩒≴∭⊉3511⇴(≴∭⊉3134≃≴∭⊉12611)=≴∭⊉-4442","reverse_text":"≴∭⊉-4442=≴∭⊉30214⫞⩸⩒≴∭⊉3511⇴(≴∭⊉3134≃≴∭⊉12611)","cot":[{"info":"≴∭⊉30214⫞⩸⩒≴∭⊉3511=≴∭⊉3511","layer":1},{"info":"≴∭⊉3134≃≴∭⊉12611=≴∭⊉-15660","layer":1},{"info":"≴∭⊉3511⇴≴∭⊉-15660=≴∭⊉-4442","layer":0}]}
+{"id":223,"expression_no_base_symbol":"($7575$∀⇚≩$3227$)⨚⇆($1335$∪⫐$1358$)","expression":"(≴∭⊉31041∀⇚≩≴∭⊉12260)⨚⇆(≴∭⊉3615∪⫐≴∭⊉3650)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53064,"operation_count":3,"complexity_ratio":17688.0,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7575,"base":7},"right_expr":{"type":"numeric_atoms","value":3227,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1335,"base":7},"right_expr":{"type":"numeric_atoms","value":1358,"base":7}}},"used_operators":["lwHaAYXP2r","LRNGc0VcxI","7YooWSwCyH"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","X99M06cbEe","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7575","layer":2},{"info":"number node, value=3227","layer":2},{"info":"compute binary expreesion, left_input=7575, right_input=3227, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1335","layer":2},{"info":"number node, value=1358","layer":2},{"info":"compute binary expreesion, left_input=1335, right_input=1358, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1335","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1335, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31041∀⇚≩≴∭⊉12260)⨚⇆(≴∭⊉3615∪⫐≴∭⊉3650)=NaN","reverse_text":"NaN=(≴∭⊉31041∀⇚≩≴∭⊉12260)⨚⇆(≴∭⊉3615∪⫐≴∭⊉3650)","cot":[{"info":"≴∭⊉31041∀⇚≩≴∭⊉12260=NaN","layer":1},{"info":"≴∭⊉3615∪⫐≴∭⊉3650=≴∭⊉3615","layer":1},{"info":"NaN⨚⇆≴∭⊉3615=NaN","layer":0}]}
+{"id":224,"expression_no_base_symbol":"($6379$∠↢$6827$)⫗⊷⫓($1364$⪬∳)","expression":"(≴∭⊉24412∠↢≴∭⊉25622)⫗⊷⫓(≴∭⊉3656⪬∳)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91796,"operation_count":3,"complexity_ratio":30598.666666666668,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6379,"base":7},"right_expr":{"type":"numeric_atoms","value":6827,"base":7}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":1364,"base":7}}},"used_operators":["zashukvMKz","KbjG8mgYpV","O9U3z1385E"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6379","layer":2},{"info":"number node, value=6827","layer":2},{"info":"compute binary expreesion, left_input=6379, right_input=6827, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-120012","layer":1},{"info":"number node, value=1364","layer":2},{"info":"compute unary expreesion, input=1364, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=-120012, right_input=-709, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24412∠↢≴∭⊉25622)⫗⊷⫓(≴∭⊉3656⪬∳)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉24412∠↢≴∭⊉25622)⫗⊷⫓(≴∭⊉3656⪬∳)","cot":[{"info":"≴∭⊉24412∠↢≴∭⊉25622=≴∭⊉-1006614","layer":1},{"info":"≴∭⊉3656⪬∳=≴∭⊉-2032","layer":1},{"info":"≴∭⊉-1006614⫗⊷⫓≴∭⊉-2032=≴∭⊉-251","layer":0}]}
+{"id":225,"expression_no_base_symbol":"($1764$⩖⊿$8149$)≝⊰⇂","expression":"(≴∭⊉5100⩖⊿≴∭⊉32521)≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1451,"operation_count":2,"complexity_ratio":725.5,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1764,"base":7},"right_expr":{"type":"numeric_atoms","value":8149,"base":7}}},"used_operators":["htSmYCowi5","RZ5CV9rWsJ"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":2},{"info":"number node, value=8149","layer":2},{"info":"compute binary expreesion, left_input=1764, right_input=8149, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=58054","layer":1},{"info":"compute unary expreesion, input=58054, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5100⩖⊿≴∭⊉32521)≝⊰⇂=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉5100⩖⊿≴∭⊉32521)≝⊰⇂","cot":[{"info":"≴∭⊉5100⩖⊿≴∭⊉32521=≴∭⊉331153","layer":1},{"info":"≴∭⊉331153≝⊰⇂=≴∭⊉0","layer":0}]}
+{"id":226,"expression_no_base_symbol":"($6623$↓⨍⋜)⋓($9407$≬⋮$5398$)","expression":"(≴∭⊉25211↓⨍⋜)⋓(≴∭⊉36266≬⋮≴∭⊉21511)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":286,"operation_count":3,"complexity_ratio":95.33333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":6623,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":9407,"base":7},"right_expr":{"type":"numeric_atoms","value":5398,"base":7}}},"used_operators":["T2fj7uvVaJ","3DVzLFNsE9","kbkesczE7y"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6623","layer":2},{"info":"compute unary expreesion, input=6623, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":1},{"info":"number node, value=9407","layer":2},{"info":"number node, value=5398","layer":2},{"info":"compute binary expreesion, left_input=9407, right_input=5398, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=6590, right_input=868, op_id = T2fj7uvVaJ binary_op_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":7,"result_base":7,"text":"(≴∭⊉25211↓⨍⋜)⋓(≴∭⊉36266≬⋮≴∭⊉21511)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉25211↓⨍⋜)⋓(≴∭⊉36266≬⋮≴∭⊉21511)","cot":[{"info":"≴∭⊉25211↓⨍⋜=≴∭⊉25133","layer":1},{"info":"≴∭⊉36266≬⋮≴∭⊉21511=≴∭⊉2350","layer":1},{"info":"≴∭⊉25133⋓≴∭⊉2350=≴∭⊉0","layer":0}]}
+{"id":227,"expression_no_base_symbol":"$9322$⋹⋡⊁$1781$⋥⋵⩄$4145$⨔⇊$3142$","expression":"≴∭⊉36115⋹⋡⊁≴∭⊉5123⋥⋵⩄≴∭⊉15041⨔⇊≴∭⊉12106","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62560,"operation_count":3,"complexity_ratio":20853.333333333332,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":9322,"base":7},"right_expr":{"type":"numeric_atoms","value":1781,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4145,"base":7},"right_expr":{"type":"numeric_atoms","value":3142,"base":7}}},"used_operators":["7t3wd0Fuz7","As8RqfVLgs","JclMnS0uGI"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=9322","layer":2},{"info":"number node, value=1781","layer":2},{"info":"compute binary expreesion, left_input=9322, right_input=1781, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2531","layer":1},{"info":"number node, value=4145","layer":2},{"info":"number node, value=3142","layer":2},{"info":"compute binary expreesion, left_input=4145, right_input=3142, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3142","layer":1},{"info":"compute binary expreesion, left_input=2531, right_input=3142, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉36115⋹⋡⊁≴∭⊉5123⋥⋵⩄≴∭⊉15041⨔⇊≴∭⊉12106=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉36115⋹⋡⊁≴∭⊉5123⋥⋵⩄≴∭⊉15041⨔⇊≴∭⊉12106","cot":[{"info":"≴∭⊉36115⋹⋡⊁≴∭⊉5123=≴∭⊉10244","layer":1},{"info":"≴∭⊉15041⨔⇊≴∭⊉12106=≴∭⊉12106","layer":1},{"info":"≴∭⊉10244⋥⋵⩄≴∭⊉12106=≴∭⊉221","layer":0}]}
+{"id":228,"expression_no_base_symbol":"($1426$⊭↱$2076$)⫣⪄⊒(⇜⊴$2188$)","expression":"(≴∭⊉4105⊭↱≴∭⊉6024)⫣⪄⊒(⇜⊴≴∭⊉6244)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":133,"operation_count":3,"complexity_ratio":44.333333333333336,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1426,"base":7},"right_expr":{"type":"numeric_atoms","value":2076,"base":7}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2188,"base":7}}},"used_operators":["RabNbG55vr","COABgblf1C","XwDhCwWbUn"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":2},{"info":"number node, value=2076","layer":2},{"info":"compute binary expreesion, left_input=1426, right_input=2076, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1305","layer":1},{"info":"number node, value=2188","layer":2},{"info":"compute unary expreesion, input=2188, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-502654","layer":1},{"info":"compute binary expreesion, left_input=1305, right_input=-502654, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4105⊭↱≴∭⊉6024)⫣⪄⊒(⇜⊴≴∭⊉6244)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉4105⊭↱≴∭⊉6024)⫣⪄⊒(⇜⊴≴∭⊉6244)","cot":[{"info":"≴∭⊉4105⊭↱≴∭⊉6024=≴∭⊉3543","layer":1},{"info":"⇜⊴≴∭⊉6244=≴∭⊉-4162315","layer":1},{"info":"≴∭⊉3543⫣⪄⊒≴∭⊉-4162315=≴∭⊉316","layer":0}]}
+{"id":229,"expression_no_base_symbol":"($2588$⫠)⊴$6435$⊴$1634$","expression":"(≴∭⊉10355⫠)⊴≴∭⊉24522⊴≴∭⊉4523","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38969,"operation_count":3,"complexity_ratio":12989.666666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":2588,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6435,"base":7},"right_expr":{"type":"numeric_atoms","value":1634,"base":7}}},"used_operators":["Nsiff2A1zJ","6SnOT2rOjz"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2588","layer":2},{"info":"compute unary expreesion, input=2588, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=6435","layer":2},{"info":"number node, value=1634","layer":2},{"info":"compute binary expreesion, left_input=6435, right_input=1634, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10355⫠)⊴≴∭⊉24522⊴≴∭⊉4523=NaN","reverse_text":"NaN=(≴∭⊉10355⫠)⊴≴∭⊉24522⊴≴∭⊉4523","cot":[{"info":"≴∭⊉10355⫠=≴∭⊉0","layer":1},{"info":"≴∭⊉24522⊴≴∭⊉4523=NaN","layer":1},{"info":"≴∭⊉0⊴NaN=NaN","layer":0}]}
+{"id":230,"expression_no_base_symbol":"≛(⫛⫱⨽$5837$)","expression":"≛(⫛⫱⨽≴∭⊉23006)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1448,"operation_count":2,"complexity_ratio":724.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5837,"base":7}}},"used_operators":["W7eaUhjymW","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rGHVDoGpnC"],"result":"≴∭⊉-456","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5837","layer":2},{"info":"compute unary expreesion, input=5837, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":0}],"base":7,"result_base":7,"text":"≛(⫛⫱⨽≴∭⊉23006)=≴∭⊉-456","reverse_text":"≴∭⊉-456=≛(⫛⫱⨽≴∭⊉23006)","cot":[{"info":"⫛⫱⨽≴∭⊉23006=≴∭⊉0","layer":1},{"info":"≛≴∭⊉0=≴∭⊉-456","layer":0}]}
+{"id":231,"expression_no_base_symbol":"$1275$≀⫉$1475$⊋≦⊧$1846$⩌⋺$6087$","expression":"≴∭⊉3501≀⫉≴∭⊉4205⊋≦⊧≴∭⊉5245⩌⋺≴∭⊉23514","highest_n_order":3,"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":1275,"base":7},"right_expr":{"type":"numeric_atoms","value":1475,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1846,"base":7},"right_expr":{"type":"numeric_atoms","value":6087,"base":7}}},"used_operators":["oRDoc9rAEX","oZj3VtZNQx","g7Hmc5v1ko"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉65443","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1275","layer":2},{"info":"number node, value=1475","layer":2},{"info":"compute binary expreesion, left_input=1275, right_input=1475, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=1846","layer":2},{"info":"number node, value=6087","layer":2},{"info":"compute binary expreesion, left_input=1846, right_input=6087, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8054","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-8054, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=16348","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3501≀⫉≴∭⊉4205⊋≦⊧≴∭⊉5245⩌⋺≴∭⊉23514=≴∭⊉65443","reverse_text":"≴∭⊉65443=≴∭⊉3501≀⫉≴∭⊉4205⊋≦⊧≴∭⊉5245⩌⋺≴∭⊉23514","cot":[{"info":"≴∭⊉3501≀⫉≴∭⊉4205=≴∭⊉11141","layer":1},{"info":"≴∭⊉5245⩌⋺≴∭⊉23514=≴∭⊉-32324","layer":1},{"info":"≴∭⊉11141⊋≦⊧≴∭⊉-32324=≴∭⊉65443","layer":0}]}
+{"id":232,"expression_no_base_symbol":"(∤↝$3799$)⋹⋡⊁($5784$↸$3249$)","expression":"(∤↝≴∭⊉14035)⋹⋡⊁(≴∭⊉22602↸≴∭⊉12321)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65787,"operation_count":3,"complexity_ratio":21929.0,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3799,"base":7}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5784,"base":7},"right_expr":{"type":"numeric_atoms","value":3249,"base":7}}},"used_operators":["As8RqfVLgs","3UMq87Qwqg","1eCjFl0mb9"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"≴∭⊉25023","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3799","layer":2},{"info":"compute unary expreesion, input=3799, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3799","layer":1},{"info":"number node, value=5784","layer":2},{"info":"number node, value=3249","layer":2},{"info":"compute binary expreesion, left_input=5784, right_input=3249, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5784","layer":1},{"info":"compute binary expreesion, left_input=3799, right_input=5784, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6534","layer":0}],"base":7,"result_base":7,"text":"(∤↝≴∭⊉14035)⋹⋡⊁(≴∭⊉22602↸≴∭⊉12321)=≴∭⊉25023","reverse_text":"≴∭⊉25023=(∤↝≴∭⊉14035)⋹⋡⊁(≴∭⊉22602↸≴∭⊉12321)","cot":[{"info":"∤↝≴∭⊉14035=≴∭⊉14035","layer":1},{"info":"≴∭⊉22602↸≴∭⊉12321=≴∭⊉22602","layer":1},{"info":"≴∭⊉14035⋹⋡⊁≴∭⊉22602=≴∭⊉25023","layer":0}]}
+{"id":233,"expression_no_base_symbol":"$2014$⊢$2332$⇡","expression":"≴∭⊉5605⊢≴∭⊉6541⇡","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":2014,"base":7},"right_expr":{"type":"numeric_atoms","value":2332,"base":7}}},"used_operators":["UqFzSgLMvQ","5twsqlHp2o"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≴∭⊉-11335","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2014","layer":2},{"info":"number node, value=2332","layer":2},{"info":"compute binary expreesion, left_input=2014, right_input=2332, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4272","layer":1},{"info":"compute unary expreesion, input=-4272, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5605⊢≴∭⊉6541⇡=≴∭⊉-11335","reverse_text":"≴∭⊉-11335=≴∭⊉5605⊢≴∭⊉6541⇡","cot":[{"info":"≴∭⊉5605⊢≴∭⊉6541=≴∭⊉-15312","layer":1},{"info":"≴∭⊉-15312⇡=≴∭⊉-11335","layer":0}]}
+{"id":234,"expression_no_base_symbol":"($3960$⩁)⋓$4859$⪥$1177$","expression":"(≴∭⊉14355⩁)⋓≴∭⊉20111⪥≴∭⊉3301","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":59,"operation_count":3,"complexity_ratio":19.666666666666668,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3960,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4859,"base":7},"right_expr":{"type":"numeric_atoms","value":1177,"base":7}}},"used_operators":["T2fj7uvVaJ","5GqDbVmqXU","QbnwKVWMIQ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"compute unary expreesion, input=3960, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-28900","layer":1},{"info":"number node, value=4859","layer":2},{"info":"number node, value=1177","layer":2},{"info":"compute binary expreesion, left_input=4859, right_input=1177, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24088","layer":1},{"info":"compute binary expreesion, left_input=-28900, right_input=24088, op_id = T2fj7uvVaJ binary_op_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":7,"result_base":7,"text":"(≴∭⊉14355⩁)⋓≴∭⊉20111⪥≴∭⊉3301=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉14355⩁)⋓≴∭⊉20111⪥≴∭⊉3301","cot":[{"info":"≴∭⊉14355⩁=≴∭⊉-150154","layer":1},{"info":"≴∭⊉20111⪥≴∭⊉3301=≴∭⊉130141","layer":1},{"info":"≴∭⊉-150154⋓≴∭⊉130141=≴∭⊉0","layer":0}]}
+{"id":235,"expression_no_base_symbol":"($2081$%$1367$)⊹∫⫚($1718$⪠⩆⊳)","expression":"(≴∭⊉6032%≴∭⊉3662)⊹∫⫚(≴∭⊉5003⪠⩆⊳)","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":2081,"base":7},"right_expr":{"type":"numeric_atoms","value":1367,"base":7}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1718,"base":7}}},"used_operators":["uWAJUKEvyW","k8jYdgA6NY","JLbD19bQDL"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2081","layer":2},{"info":"number node, value=1367","layer":2},{"info":"compute binary expreesion, left_input=2081, right_input=1367, op_id = k8jYdgA6NY binary_op_definition= 'None', output=714","layer":1},{"info":"number node, value=1718","layer":2},{"info":"compute unary expreesion, input=1718, 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=714, right_input=0, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6032%≴∭⊉3662)⊹∫⫚(≴∭⊉5003⪠⩆⊳)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉6032%≴∭⊉3662)⊹∫⫚(≴∭⊉5003⪠⩆⊳)","cot":[{"info":"≴∭⊉6032%≴∭⊉3662=≴∭⊉2040","layer":1},{"info":"≴∭⊉5003⪠⩆⊳=≴∭⊉0","layer":1},{"info":"≴∭⊉2040⊹∫⫚≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":236,"expression_no_base_symbol":"(⇐$1913$)⨻⩈⩔($1172$⩱)","expression":"(⇐≴∭⊉5402)⨻⩈⩔(≴∭⊉3263⩱)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1913,"base":7}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1172,"base":7}}},"used_operators":["nEsXyWgiOK","nmZMaaE0Q9","uyq1hVkAcj"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C"],"result":"≴∭⊉143120","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":2},{"info":"compute unary expreesion, input=1913, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4488","layer":1},{"info":"number node, value=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-7282","layer":1},{"info":"compute binary expreesion, left_input=4488, right_input=-7282, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=27503","layer":0}],"base":7,"result_base":7,"text":"(⇐≴∭⊉5402)⨻⩈⩔(≴∭⊉3263⩱)=≴∭⊉143120","reverse_text":"≴∭⊉143120=(⇐≴∭⊉5402)⨻⩈⩔(≴∭⊉3263⩱)","cot":[{"info":"⇐≴∭⊉5402=≴∭⊉16041","layer":1},{"info":"≴∭⊉3263⩱=≴∭⊉-30142","layer":1},{"info":"≴∭⊉16041⨻⩈⩔≴∭⊉-30142=≴∭⊉143120","layer":0}]}
+{"id":237,"expression_no_base_symbol":"⨣⨃⇪($5745$⇼⇔∾$1945$)","expression":"⨣⨃⇪(≴∭⊉22515⇼⇔∾≴∭⊉5446)","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":5745,"base":7},"right_expr":{"type":"numeric_atoms","value":1945,"base":7}}},"used_operators":["AcOhelriW5","tifHPKVTfV"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5745","layer":2},{"info":"number node, value=1945","layer":2},{"info":"compute binary expreesion, left_input=5745, right_input=1945, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3800","layer":1},{"info":"compute unary expreesion, input=-3800, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪(≴∭⊉22515⇼⇔∾≴∭⊉5446)=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪(≴∭⊉22515⇼⇔∾≴∭⊉5446)","cot":[{"info":"≴∭⊉22515⇼⇔∾≴∭⊉5446=≴∭⊉-14036","layer":1},{"info":"⨣⨃⇪≴∭⊉-14036=≴∭⊉4045","layer":0}]}
+{"id":238,"expression_no_base_symbol":"$2275$∴$2059$⩘","expression":"≴∭⊉6430∴≴∭⊉6001⩘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2275,"base":7},"right_expr":{"type":"numeric_atoms","value":2059,"base":7}}},"used_operators":["wvHyciQT5X","hrf7POJlIJ"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":2},{"info":"number node, value=2059","layer":2},{"info":"compute binary expreesion, left_input=2275, right_input=2059, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6198","layer":1},{"info":"compute unary expreesion, input=6198, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6430∴≴∭⊉6001⩘=≴∭⊉124","reverse_text":"≴∭⊉124=≴∭⊉6430∴≴∭⊉6001⩘","cot":[{"info":"≴∭⊉6430∴≴∭⊉6001=≴∭⊉24033","layer":1},{"info":"≴∭⊉24033⩘=≴∭⊉124","layer":0}]}
+{"id":239,"expression_no_base_symbol":"($1075$⨕⋳)⇼⇔∾$1360$⇴∐$1957$","expression":"(≴∭⊉3064⨕⋳)⇼⇔∾≴∭⊉3652⇴∐≴∭⊉5464","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1075,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1360,"base":7},"right_expr":{"type":"numeric_atoms","value":1957,"base":7}}},"used_operators":["tifHPKVTfV","4X4GscPmMf","HnzytWxmAO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":2},{"info":"compute unary expreesion, input=1075, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=14228","layer":1},{"info":"number node, value=1360","layer":2},{"info":"number node, value=1957","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=1957, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14228, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3064⨕⋳)⇼⇔∾≴∭⊉3652⇴∐≴∭⊉5464=NaN","reverse_text":"NaN=(≴∭⊉3064⨕⋳)⇼⇔∾≴∭⊉3652⇴∐≴∭⊉5464","cot":[{"info":"≴∭⊉3064⨕⋳=≴∭⊉56324","layer":1},{"info":"≴∭⊉3652⇴∐≴∭⊉5464=NaN","layer":1},{"info":"≴∭⊉56324⇼⇔∾NaN=NaN","layer":0}]}
+{"id":240,"expression_no_base_symbol":"($3992$∕⩚$5350$)⨲","expression":"(≴∭⊉14432∕⩚≴∭⊉21412)⨲","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9717,"operation_count":2,"complexity_ratio":4858.5,"tree":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3992,"base":7},"right_expr":{"type":"numeric_atoms","value":5350,"base":7}}},"used_operators":["nLYMGWM7L8","z9ffQ9n5Zr"],"dependent_operators":["DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉54545062","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3992","layer":2},{"info":"number node, value=5350","layer":2},{"info":"compute binary expreesion, left_input=3992, right_input=5350, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3995","layer":1},{"info":"compute unary expreesion, input=-3995, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14432∕⩚≴∭⊉21412)⨲=≴∭⊉54545062","reverse_text":"≴∭⊉54545062=(≴∭⊉14432∕⩚≴∭⊉21412)⨲","cot":[{"info":"≴∭⊉14432∕⩚≴∭⊉21412=≴∭⊉-14435","layer":1},{"info":"≴∭⊉-14435⨲=≴∭⊉54545062","layer":0}]}
+{"id":241,"expression_no_base_symbol":"$2647$⪛$5142$⋘⨑⨽","expression":"≴∭⊉10501⪛≴∭⊉20664⋘⨑⨽","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":2647,"base":7},"right_expr":{"type":"numeric_atoms","value":5142,"base":7}}},"used_operators":["WmT3o8z6ya","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉55604","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2647","layer":2},{"info":"number node, value=5142","layer":2},{"info":"compute binary expreesion, left_input=2647, right_input=5142, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2647","layer":1},{"info":"compute unary expreesion, input=2647, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=14018","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10501⪛≴∭⊉20664⋘⨑⨽=≴∭⊉55604","reverse_text":"≴∭⊉55604=≴∭⊉10501⪛≴∭⊉20664⋘⨑⨽","cot":[{"info":"≴∭⊉10501⪛≴∭⊉20664=≴∭⊉10501","layer":1},{"info":"≴∭⊉10501⋘⨑⨽=≴∭⊉55604","layer":0}]}
+{"id":242,"expression_no_base_symbol":"$5650$⊋$3092$≠≀($1639$⊹∫⫚$2824$)","expression":"≴∭⊉22321⊋≴∭⊉12005≠≀(≴∭⊉4531⊹∫⫚≴∭⊉11143)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5266,"operation_count":3,"complexity_ratio":1755.3333333333333,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5650,"base":7},"right_expr":{"type":"numeric_atoms","value":3092,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1639,"base":7},"right_expr":{"type":"numeric_atoms","value":2824,"base":7}}},"used_operators":["IwW236VD4Y","W4tP9CfskL","uWAJUKEvyW"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉-1356544443","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5650","layer":2},{"info":"number node, value=3092","layer":2},{"info":"compute binary expreesion, left_input=5650, right_input=3092, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=62566924","layer":1},{"info":"number node, value=1639","layer":2},{"info":"number node, value=2824","layer":2},{"info":"compute binary expreesion, left_input=1639, right_input=2824, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-188","layer":1},{"info":"compute binary expreesion, left_input=62566924, right_input=-188, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-62566857","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22321⊋≴∭⊉12005≠≀(≴∭⊉4531⊹∫⫚≴∭⊉11143)=≴∭⊉-1356544443","reverse_text":"≴∭⊉-1356544443=≴∭⊉22321⊋≴∭⊉12005≠≀(≴∭⊉4531⊹∫⫚≴∭⊉11143)","cot":[{"info":"≴∭⊉22321⊋≴∭⊉12005=≴∭⊉1356544600","layer":1},{"info":"≴∭⊉4531⊹∫⫚≴∭⊉11143=≴∭⊉-356","layer":1},{"info":"≴∭⊉1356544600≠≀≴∭⊉-356=≴∭⊉-1356544443","layer":0}]}
+{"id":243,"expression_no_base_symbol":"($2688$∀⋜↑)↞⋁($1424$⪍↜⋙$4953$)","expression":"(≴∭⊉10560∀⋜↑)↞⋁(≴∭⊉4103⪍↜⋙≴∭⊉20304)","highest_n_order":5,"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":2688,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1424,"base":7},"right_expr":{"type":"numeric_atoms","value":4953,"base":7}}},"used_operators":["RqrPlJkxDo","KipPnG1M2J","L05ObWFQCd"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉-1261","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2688","layer":2},{"info":"compute unary expreesion, input=2688, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"number node, value=1424","layer":2},{"info":"number node, value=4953","layer":2},{"info":"compute binary expreesion, left_input=1424, right_input=4953, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-17809","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=-17809, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-484","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10560∀⋜↑)↞⋁(≴∭⊉4103⪍↜⋙≴∭⊉20304)=≴∭⊉-1261","reverse_text":"≴∭⊉-1261=(≴∭⊉10560∀⋜↑)↞⋁(≴∭⊉4103⪍↜⋙≴∭⊉20304)","cot":[{"info":"≴∭⊉10560∀⋜↑=≴∭⊉-1261","layer":1},{"info":"≴∭⊉4103⪍↜⋙≴∭⊉20304=≴∭⊉-102631","layer":1},{"info":"≴∭⊉-1261↞⋁≴∭⊉-102631=≴∭⊉-1261","layer":0}]}
+{"id":244,"expression_no_base_symbol":"($1710$⨵⪆$5071$)⩤","expression":"(≴∭⊉4662⨵⪆≴∭⊉20533)⩤","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":1710,"base":7},"right_expr":{"type":"numeric_atoms","value":5071,"base":7}}},"used_operators":["Z2TMIBDE3Q","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1710","layer":2},{"info":"number node, value=5071","layer":2},{"info":"compute binary expreesion, left_input=1710, right_input=5071, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4662⨵⪆≴∭⊉20533)⩤=≴∭⊉-316","reverse_text":"≴∭⊉-316=(≴∭⊉4662⨵⪆≴∭⊉20533)⩤","cot":[{"info":"≴∭⊉4662⨵⪆≴∭⊉20533=≴∭⊉316","layer":1},{"info":"≴∭⊉316⩤=≴∭⊉-316","layer":0}]}
+{"id":245,"expression_no_base_symbol":"($2206$⊨$2148$)⨚(⇤←$1594$)","expression":"(≴∭⊉6301⊨≴∭⊉6156)⨚(⇤←≴∭⊉4435)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":3,"complexity_ratio":24.666666666666668,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2206,"base":7},"right_expr":{"type":"numeric_atoms","value":2148,"base":7}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1594,"base":7}}},"used_operators":["nREPSIbpBE","vg4gO5BX6G","jfAgQ2OQeM"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"≴∭⊉254126","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2206","layer":2},{"info":"number node, value=2148","layer":2},{"info":"compute binary expreesion, left_input=2206, right_input=2148, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9855","layer":1},{"info":"number node, value=1594","layer":2},{"info":"compute unary expreesion, input=1594, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-6604","layer":1},{"info":"compute binary expreesion, left_input=9855, right_input=-6604, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=47060","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6301⊨≴∭⊉6156)⨚(⇤←≴∭⊉4435)=≴∭⊉254126","reverse_text":"≴∭⊉254126=(≴∭⊉6301⊨≴∭⊉6156)⨚(⇤←≴∭⊉4435)","cot":[{"info":"≴∭⊉6301⊨≴∭⊉6156=≴∭⊉40506","layer":1},{"info":"⇤←≴∭⊉4435=≴∭⊉-25153","layer":1},{"info":"≴∭⊉40506⨚≴∭⊉-25153=≴∭⊉254126","layer":0}]}
+{"id":246,"expression_no_base_symbol":"($4602$⇴$9380$)⪚(⩦⩻⨪$2739$)","expression":"(≴∭⊉16263⇴≴∭⊉36230)⪚(⩦⩻⨪≴∭⊉10662)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4602,"base":7},"right_expr":{"type":"numeric_atoms","value":9380,"base":7}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2739,"base":7}}},"used_operators":["HrjLwUk87U","4JB6nKBMSY","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉506063","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4602","layer":2},{"info":"number node, value=9380","layer":2},{"info":"compute binary expreesion, left_input=4602, right_input=9380, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=45986","layer":1},{"info":"number node, value=2739","layer":2},{"info":"compute unary expreesion, input=2739, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2739","layer":1},{"info":"compute binary expreesion, left_input=45986, right_input=2739, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=86138","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16263⇴≴∭⊉36230)⪚(⩦⩻⨪≴∭⊉10662)=≴∭⊉506063","reverse_text":"≴∭⊉506063=(≴∭⊉16263⇴≴∭⊉36230)⪚(⩦⩻⨪≴∭⊉10662)","cot":[{"info":"≴∭⊉16263⇴≴∭⊉36230=≴∭⊉251033","layer":1},{"info":"⩦⩻⨪≴∭⊉10662=≴∭⊉10662","layer":1},{"info":"≴∭⊉251033⪚≴∭⊉10662=≴∭⊉506063","layer":0}]}
+{"id":247,"expression_no_base_symbol":"(⨞⊢$1322$)⪔⊥($1035$≓∲$2169$)","expression":"(⨞⊢≴∭⊉3566)⪔⊥(≴∭⊉3006≓∲≴∭⊉6216)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71,"operation_count":3,"complexity_ratio":23.666666666666668,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1322,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1035,"base":7},"right_expr":{"type":"numeric_atoms","value":2169,"base":7}}},"used_operators":["HJ9erzHUuu","xUOZtlo3hN","s1XTVnmDOJ"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≴∭⊉-145641","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":2},{"info":"compute unary expreesion, input=1322, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1496","layer":1},{"info":"number node, value=1035","layer":2},{"info":"number node, value=2169","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=2169, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=11133","layer":1},{"info":"compute binary expreesion, left_input=-1496, right_input=11133, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-28449","layer":0}],"base":7,"result_base":7,"text":"(⨞⊢≴∭⊉3566)⪔⊥(≴∭⊉3006≓∲≴∭⊉6216)=≴∭⊉-145641","reverse_text":"≴∭⊉-145641=(⨞⊢≴∭⊉3566)⪔⊥(≴∭⊉3006≓∲≴∭⊉6216)","cot":[{"info":"⨞⊢≴∭⊉3566=≴∭⊉-4235","layer":1},{"info":"≴∭⊉3006≓∲≴∭⊉6216=≴∭⊉44313","layer":1},{"info":"≴∭⊉-4235⪔⊥≴∭⊉44313=≴∭⊉-145641","layer":0}]}
+{"id":248,"expression_no_base_symbol":"$4491$⨻⩈⩔$7092$⪔$4966$∛$1867$","expression":"≴∭⊉16044⨻⩈⩔≴∭⊉26451⪔≴∭⊉20323∛≴∭⊉5305","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":973,"operation_count":3,"complexity_ratio":324.3333333333333,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4491,"base":7},"right_expr":{"type":"numeric_atoms","value":7092,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4966,"base":7},"right_expr":{"type":"numeric_atoms","value":1867,"base":7}}},"used_operators":["GjBEYRfMaF","nEsXyWgiOK","w2537kitQq"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4491","layer":2},{"info":"number node, value=7092","layer":2},{"info":"compute binary expreesion, left_input=4491, right_input=7092, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=27527","layer":1},{"info":"number node, value=4966","layer":2},{"info":"number node, value=1867","layer":2},{"info":"compute binary expreesion, left_input=4966, right_input=1867, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=27527, right_input=-670, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16044⨻⩈⩔≴∭⊉26451⪔≴∭⊉20323∛≴∭⊉5305=≴∭⊉1212","reverse_text":"≴∭⊉1212=≴∭⊉16044⨻⩈⩔≴∭⊉26451⪔≴∭⊉20323∛≴∭⊉5305","cot":[{"info":"≴∭⊉16044⨻⩈⩔≴∭⊉26451=≴∭⊉143153","layer":1},{"info":"≴∭⊉20323∛≴∭⊉5305=≴∭⊉-1645","layer":1},{"info":"≴∭⊉143153⪔≴∭⊉-1645=≴∭⊉1212","layer":0}]}
+{"id":249,"expression_no_base_symbol":"$8974$⫁$2813$≒∊($5560$∷$5979$)","expression":"≴∭⊉35110⫁≴∭⊉11126≒∊(≴∭⊉22132∷≴∭⊉23301)","highest_n_order":4,"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":8974,"base":7},"right_expr":{"type":"numeric_atoms","value":2813,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":5560,"base":7},"right_expr":{"type":"numeric_atoms","value":5979,"base":7}}},"used_operators":["5KTvxBwnZo","0ajvFaJAv0","D3AQDKkPcf"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≴∭⊉642","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8974","layer":2},{"info":"number node, value=2813","layer":2},{"info":"compute binary expreesion, left_input=8974, right_input=2813, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=5560","layer":2},{"info":"number node, value=5979","layer":2},{"info":"compute binary expreesion, left_input=5560, right_input=5979, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5979","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5979, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=324","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉35110⫁≴∭⊉11126≒∊(≴∭⊉22132∷≴∭⊉23301)=≴∭⊉642","reverse_text":"≴∭⊉642=≴∭⊉35110⫁≴∭⊉11126≒∊(≴∭⊉22132∷≴∭⊉23301)","cot":[{"info":"≴∭⊉35110⫁≴∭⊉11126=≴∭⊉316","layer":1},{"info":"≴∭⊉22132∷≴∭⊉23301=≴∭⊉23301","layer":1},{"info":"≴∭⊉316≒∊≴∭⊉23301=≴∭⊉642","layer":0}]}
+{"id":250,"expression_no_base_symbol":"($1218$⇴$4653$)⨔⇊($5766$⪛⫼$3464$)","expression":"(≴∭⊉3360⇴≴∭⊉16365)⨔⇊(≴∭⊉22545⪛⫼≴∭⊉13046)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":208,"operation_count":3,"complexity_ratio":69.33333333333333,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1218,"base":7},"right_expr":{"type":"numeric_atoms","value":4653,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5766,"base":7},"right_expr":{"type":"numeric_atoms","value":3464,"base":7}}},"used_operators":["JclMnS0uGI","4JB6nKBMSY","hyuBjUqXlG"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1218","layer":2},{"info":"number node, value=4653","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=4653, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16228","layer":1},{"info":"number node, value=5766","layer":2},{"info":"number node, value=3464","layer":2},{"info":"compute binary expreesion, left_input=5766, right_input=3464, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=16228, right_input=968, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3360⇴≴∭⊉16365)⨔⇊(≴∭⊉22545⪛⫼≴∭⊉13046)=≴∭⊉2552","reverse_text":"≴∭⊉2552=(≴∭⊉3360⇴≴∭⊉16365)⨔⇊(≴∭⊉22545⪛⫼≴∭⊉13046)","cot":[{"info":"≴∭⊉3360⇴≴∭⊉16365=≴∭⊉65212","layer":1},{"info":"≴∭⊉22545⪛⫼≴∭⊉13046=≴∭⊉2552","layer":1},{"info":"≴∭⊉65212⨔⇊≴∭⊉2552=≴∭⊉2552","layer":0}]}
+{"id":251,"expression_no_base_symbol":"$6249$≦↸$1016$⊭↱$1009$⋕⪉⪜$3149$","expression":"≴∭⊉24135≦↸≴∭⊉2651⊭↱≴∭⊉2641⋕⪉⪜≴∭⊉12116","highest_n_order":2,"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":6249,"base":7},"right_expr":{"type":"numeric_atoms","value":1016,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":3149,"base":7}}},"used_operators":["COABgblf1C","RygbFNSyEJ","z6LnFrNh4i"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≴∭⊉144646","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6249","layer":2},{"info":"number node, value=1016","layer":2},{"info":"compute binary expreesion, left_input=6249, right_input=1016, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13849","layer":1},{"info":"number node, value=1009","layer":2},{"info":"number node, value=3149","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=3149, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-13849, right_input=204, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=28111","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24135≦↸≴∭⊉2651⊭↱≴∭⊉2641⋕⪉⪜≴∭⊉12116=≴∭⊉144646","reverse_text":"≴∭⊉144646=≴∭⊉24135≦↸≴∭⊉2651⊭↱≴∭⊉2641⋕⪉⪜≴∭⊉12116","cot":[{"info":"≴∭⊉24135≦↸≴∭⊉2651=≴∭⊉-55243","layer":1},{"info":"≴∭⊉2641⋕⪉⪜≴∭⊉12116=≴∭⊉411","layer":1},{"info":"≴∭⊉-55243⊭↱≴∭⊉411=≴∭⊉144646","layer":0}]}
+{"id":252,"expression_no_base_symbol":"$5211$⨒$2468$⫳≱↱($5174$⫦⪉$3602$)","expression":"≴∭⊉21123⨒≴∭⊉10124⫳≱↱(≴∭⊉21041⫦⪉≴∭⊉13334)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":93,"operation_count":3,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5211,"base":7},"right_expr":{"type":"numeric_atoms","value":2468,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5174,"base":7},"right_expr":{"type":"numeric_atoms","value":3602,"base":7}}},"used_operators":["ZvLB05nZmT","y75s1iXyHd","wscyQdcy20"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉-11112","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5211","layer":2},{"info":"number node, value=2468","layer":2},{"info":"compute binary expreesion, left_input=5211, right_input=2468, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-30894","layer":1},{"info":"number node, value=5174","layer":2},{"info":"number node, value=3602","layer":2},{"info":"compute binary expreesion, left_input=5174, right_input=3602, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5448","layer":1},{"info":"compute binary expreesion, left_input=-30894, right_input=-5448, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21123⨒≴∭⊉10124⫳≱↱(≴∭⊉21041⫦⪉≴∭⊉13334)=≴∭⊉-11112","reverse_text":"≴∭⊉-11112=≴∭⊉21123⨒≴∭⊉10124⫳≱↱(≴∭⊉21041⫦⪉≴∭⊉13334)","cot":[{"info":"≴∭⊉21123⨒≴∭⊉10124=≴∭⊉-156033","layer":1},{"info":"≴∭⊉21041⫦⪉≴∭⊉13334=≴∭⊉-21612","layer":1},{"info":"≴∭⊉-156033⫳≱↱≴∭⊉-21612=≴∭⊉-11112","layer":0}]}
+{"id":253,"expression_no_base_symbol":"($6957$⫲⨊)⪥⨬⪅","expression":"(≴∭⊉26166⫲⨊)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":145,"operation_count":2,"complexity_ratio":72.5,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":6957,"base":7}}},"used_operators":["zNRQejTB5A","CArV6hThFE"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"≴∭⊉-1244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6957","layer":2},{"info":"compute unary expreesion, input=6957, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=35568","layer":1},{"info":"compute unary expreesion, input=35568, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26166⫲⨊)⪥⨬⪅=≴∭⊉-1244","reverse_text":"≴∭⊉-1244=(≴∭⊉26166⫲⨊)⪥⨬⪅","cot":[{"info":"≴∭⊉26166⫲⨊=≴∭⊉205461","layer":1},{"info":"≴∭⊉205461⪥⨬⪅=≴∭⊉-1244","layer":0}]}
+{"id":254,"expression_no_base_symbol":"⊀($1042$⩺⋐⫨)","expression":"⊀(≴∭⊉3016⩺⋐⫨)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":582,"operation_count":2,"complexity_ratio":291.0,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}}},"used_operators":["oPMjh9089D","yS9ePUuUdn"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr"],"result":"≴∭⊉-523","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"compute unary expreesion, input=1042, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-262","layer":0}],"base":7,"result_base":7,"text":"⊀(≴∭⊉3016⩺⋐⫨)=≴∭⊉-523","reverse_text":"≴∭⊉-523=⊀(≴∭⊉3016⩺⋐⫨)","cot":[{"info":"≴∭⊉3016⩺⋐⫨=≴∭⊉0","layer":1},{"info":"⊀≴∭⊉0=≴∭⊉-523","layer":0}]}
+{"id":255,"expression_no_base_symbol":"($4248$⫳≱↱$3348$)⊮⊟↴($5563$⊾⪯⋞$3298$)","expression":"(≴∭⊉15246⫳≱↱≴∭⊉12522)⊮⊟↴(≴∭⊉22135⊾⪯⋞≴∭⊉12421)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":410,"operation_count":3,"complexity_ratio":136.66666666666666,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4248,"base":7},"right_expr":{"type":"numeric_atoms","value":3348,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5563,"base":7},"right_expr":{"type":"numeric_atoms","value":3298,"base":7}}},"used_operators":["QDVgd2eftb","ZvLB05nZmT","HK0tfVPux8"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4248","layer":2},{"info":"number node, value=3348","layer":2},{"info":"compute binary expreesion, left_input=4248, right_input=3348, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=5563","layer":2},{"info":"number node, value=3298","layer":2},{"info":"compute binary expreesion, left_input=5563, right_input=3298, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6170","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=6170, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15246⫳≱↱≴∭⊉12522)⊮⊟↴(≴∭⊉22135⊾⪯⋞≴∭⊉12421)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉15246⫳≱↱≴∭⊉12522)⊮⊟↴(≴∭⊉22135⊾⪯⋞≴∭⊉12421)","cot":[{"info":"≴∭⊉15246⫳≱↱≴∭⊉12522=≴∭⊉-411","layer":1},{"info":"≴∭⊉22135⊾⪯⋞≴∭⊉12421=≴∭⊉23663","layer":1},{"info":"≴∭⊉-411⊮⊟↴≴∭⊉23663=≴∭⊉0","layer":0}]}
+{"id":256,"expression_no_base_symbol":"$5128$⩍⋽⫝̸$1795$⪚(↽≂$3420$)","expression":"≴∭⊉20644⩍⋽⫝̸≴∭⊉5143⪚(↽≂≴∭⊉12654)","highest_n_order":1,"priority_hierarchical_complexity":2,"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":5128,"base":7},"right_expr":{"type":"numeric_atoms","value":1795,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3420,"base":7}}},"used_operators":["HrjLwUk87U","BiWNJpBvwn","u6S6b8DprG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉61540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5128","layer":2},{"info":"number node, value=1795","layer":2},{"info":"compute binary expreesion, left_input=5128, right_input=1795, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=849","layer":1},{"info":"number node, value=3420","layer":2},{"info":"compute unary expreesion, input=3420, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6840","layer":1},{"info":"compute binary expreesion, left_input=849, right_input=-6840, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=15022","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20644⩍⋽⫝̸≴∭⊉5143⪚(↽≂≴∭⊉12654)=≴∭⊉61540","reverse_text":"≴∭⊉61540=≴∭⊉20644⩍⋽⫝̸≴∭⊉5143⪚(↽≂≴∭⊉12654)","cot":[{"info":"≴∭⊉20644⩍⋽⫝̸≴∭⊉5143=≴∭⊉2322","layer":1},{"info":"↽≂≴∭⊉12654=≴∭⊉-25641","layer":1},{"info":"≴∭⊉2322⪚≴∭⊉-25641=≴∭⊉61540","layer":0}]}
+{"id":257,"expression_no_base_symbol":"$1061$∛$2050$⪒(∤$3243$)","expression":"≴∭⊉3044∛≴∭⊉5656⪒(∤≴∭⊉12312)","highest_n_order":3,"priority_hierarchical_complexity":2,"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":1061,"base":7},"right_expr":{"type":"numeric_atoms","value":2050,"base":7}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3243,"base":7}}},"used_operators":["f6k1SAg4EE","w2537kitQq","k2HlF1dBQh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"≴∭⊉1633","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1061","layer":2},{"info":"number node, value=2050","layer":2},{"info":"compute binary expreesion, left_input=1061, right_input=2050, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=3243","layer":2},{"info":"compute unary expreesion, input=3243, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=9, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=661","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3044∛≴∭⊉5656⪒(∤≴∭⊉12312)=≴∭⊉1633","reverse_text":"≴∭⊉1633=≴∭⊉3044∛≴∭⊉5656⪒(∤≴∭⊉12312)","cot":[{"info":"≴∭⊉3044∛≴∭⊉5656=≴∭⊉-1645","layer":1},{"info":"∤≴∭⊉12312=≴∭⊉12","layer":1},{"info":"≴∭⊉-1645⪒≴∭⊉12=≴∭⊉1633","layer":0}]}
+{"id":258,"expression_no_base_symbol":"$4659$⪃⊛⇣$2910$∺≝⩲($1527$⊉≛↸$1623$)","expression":"≴∭⊉16404⪃⊛⇣≴∭⊉11325∺≝⩲(≴∭⊉4311⊉≛↸≴∭⊉4506)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":583,"operation_count":3,"complexity_ratio":194.33333333333334,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4659,"base":7},"right_expr":{"type":"numeric_atoms","value":2910,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1527,"base":7},"right_expr":{"type":"numeric_atoms","value":1623,"base":7}}},"used_operators":["KPf6cnQVty","rrgAzCduG9","DZ8iAZOCBD"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4659","layer":2},{"info":"number node, value=2910","layer":2},{"info":"compute binary expreesion, left_input=4659, right_input=2910, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1527","layer":2},{"info":"number node, value=1623","layer":2},{"info":"compute binary expreesion, left_input=1527, right_input=1623, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3054","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=3054, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16404⪃⊛⇣≴∭⊉11325∺≝⩲(≴∭⊉4311⊉≛↸≴∭⊉4506)=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉16404⪃⊛⇣≴∭⊉11325∺≝⩲(≴∭⊉4311⊉≛↸≴∭⊉4506)","cot":[{"info":"≴∭⊉16404⪃⊛⇣≴∭⊉11325=≴∭⊉3412","layer":1},{"info":"≴∭⊉4311⊉≛↸≴∭⊉4506=≴∭⊉11622","layer":1},{"info":"≴∭⊉3412∺≝⩲≴∭⊉11622=≴∭⊉316","layer":0}]}
+{"id":259,"expression_no_base_symbol":"(⇙⪊$1131$)↹⊜(⪹$2031$)","expression":"(⇙⪊≴∭⊉3204)↹⊜(⪹≴∭⊉5631)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1131,"base":7}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2031,"base":7}}},"used_operators":["9bazX3JMtO","pB6Fcnrjim","USyYr0JgAa"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","tifHPKVTfV"],"result":"≴∭⊉60615","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":2},{"info":"compute unary expreesion, input=1131, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=2031","layer":2},{"info":"compute unary expreesion, input=2031, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1851","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1851, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=14712","layer":0}],"base":7,"result_base":7,"text":"(⇙⪊≴∭⊉3204)↹⊜(⪹≴∭⊉5631)=≴∭⊉60615","reverse_text":"≴∭⊉60615=(⇙⪊≴∭⊉3204)↹⊜(⪹≴∭⊉5631)","cot":[{"info":"⇙⪊≴∭⊉3204=≴∭⊉0","layer":1},{"info":"⪹≴∭⊉5631=≴∭⊉-5253","layer":1},{"info":"≴∭⊉0↹⊜≴∭⊉-5253=≴∭⊉60615","layer":0}]}
+{"id":260,"expression_no_base_symbol":"($3158$↰)≝⊿($4516$⫦⪉$4429$)","expression":"(≴∭⊉12131↰)≝⊿(≴∭⊉16111⫦⪉≴∭⊉15625)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3158,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4516,"base":7},"right_expr":{"type":"numeric_atoms","value":4429,"base":7}}},"used_operators":["OKKcZfAt5B","bl5wxAcryP","wscyQdcy20"],"dependent_operators":["12rbrZMWeM","nCS4ZIUYfx","Z2TMIBDE3Q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉16425","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3158","layer":2},{"info":"compute unary expreesion, input=3158, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3057","layer":1},{"info":"number node, value=4516","layer":2},{"info":"number node, value=4429","layer":2},{"info":"compute binary expreesion, left_input=4516, right_input=4429, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4132","layer":1},{"info":"compute binary expreesion, left_input=3057, right_input=-4132, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=4674","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12131↰)≝⊿(≴∭⊉16111⫦⪉≴∭⊉15625)=≴∭⊉16425","reverse_text":"≴∭⊉16425=(≴∭⊉12131↰)≝⊿(≴∭⊉16111⫦⪉≴∭⊉15625)","cot":[{"info":"≴∭⊉12131↰=≴∭⊉11625","layer":1},{"info":"≴∭⊉16111⫦⪉≴∭⊉15625=≴∭⊉-15022","layer":1},{"info":"≴∭⊉11625≝⊿≴∭⊉-15022=≴∭⊉16425","layer":0}]}
+{"id":261,"expression_no_base_symbol":"(⊖$2352$)⊠≄⫣","expression":"(⊖≴∭⊉6600)⊠≄⫣","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":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2352,"base":7}}},"used_operators":["DIvbN7qnHd","U6pG0PXrV3"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2352","layer":2},{"info":"compute unary expreesion, input=2352, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⊖≴∭⊉6600)⊠≄⫣=≴∭⊉0","reverse_text":"≴∭⊉0=(⊖≴∭⊉6600)⊠≄⫣","cot":[{"info":"⊖≴∭⊉6600=≴∭⊉0","layer":1},{"info":"≴∭⊉0⊠≄⫣=≴∭⊉0","layer":0}]}
+{"id":262,"expression_no_base_symbol":"$3136$⨭⪣$4764$⨽($1580$≬⋮$1066$)","expression":"≴∭⊉12100⨭⪣≴∭⊉16614⨽(≴∭⊉4415≬⋮≴∭⊉3052)","highest_n_order":2,"priority_hierarchical_complexity":3,"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":3136,"base":7},"right_expr":{"type":"numeric_atoms","value":4764,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1580,"base":7},"right_expr":{"type":"numeric_atoms","value":1066,"base":7}}},"used_operators":["8HhzD0ZcuI","kn8WO9XteQ","kbkesczE7y"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉-153642060","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3136","layer":2},{"info":"number node, value=4764","layer":2},{"info":"compute binary expreesion, left_input=3136, right_input=4764, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1857","layer":1},{"info":"number node, value=1580","layer":2},{"info":"number node, value=1066","layer":2},{"info":"compute binary expreesion, left_input=1580, right_input=1066, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=1857, right_input=868, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10346637","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12100⨭⪣≴∭⊉16614⨽(≴∭⊉4415≬⋮≴∭⊉3052)=≴∭⊉-153642060","reverse_text":"≴∭⊉-153642060=≴∭⊉12100⨭⪣≴∭⊉16614⨽(≴∭⊉4415≬⋮≴∭⊉3052)","cot":[{"info":"≴∭⊉12100⨭⪣≴∭⊉16614=≴∭⊉5262","layer":1},{"info":"≴∭⊉4415≬⋮≴∭⊉3052=≴∭⊉2350","layer":1},{"info":"≴∭⊉5262⨽≴∭⊉2350=≴∭⊉-153642060","layer":0}]}
+{"id":263,"expression_no_base_symbol":"($1618$∌$1105$)⊱⇼⊻($1455$∪⫐$2867$)","expression":"(≴∭⊉4501∌≴∭⊉3136)⊱⇼⊻(≴∭⊉4146∪⫐≴∭⊉11234)","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":1618,"base":7},"right_expr":{"type":"numeric_atoms","value":1105,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1455,"base":7},"right_expr":{"type":"numeric_atoms","value":2867,"base":7}}},"used_operators":["FyVja0WsTP","8cLx32lpNA","7YooWSwCyH"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0"],"result":"≴∭⊉16324","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1618","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=1618, right_input=1105, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1105","layer":1},{"info":"number node, value=1455","layer":2},{"info":"number node, value=2867","layer":2},{"info":"compute binary expreesion, left_input=1455, right_input=2867, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1455","layer":1},{"info":"compute binary expreesion, left_input=-1105, right_input=1455, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=4624","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4501∌≴∭⊉3136)⊱⇼⊻(≴∭⊉4146∪⫐≴∭⊉11234)=≴∭⊉16324","reverse_text":"≴∭⊉16324=(≴∭⊉4501∌≴∭⊉3136)⊱⇼⊻(≴∭⊉4146∪⫐≴∭⊉11234)","cot":[{"info":"≴∭⊉4501∌≴∭⊉3136=≴∭⊉-3136","layer":1},{"info":"≴∭⊉4146∪⫐≴∭⊉11234=≴∭⊉4146","layer":1},{"info":"≴∭⊉-3136⊱⇼⊻≴∭⊉4146=≴∭⊉16324","layer":0}]}
+{"id":264,"expression_no_base_symbol":"$1659$∼$1172$⇀∌","expression":"≴∭⊉4560∼≴∭⊉3263⇀∌","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":88,"operation_count":2,"complexity_ratio":44.0,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1659,"base":7},"right_expr":{"type":"numeric_atoms","value":1172,"base":7}}},"used_operators":["2k53nXOpI5","DyGG3AbaNP"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1659","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=1659, right_input=1172, 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 = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4560∼≴∭⊉3263⇀∌=NaN","reverse_text":"NaN=≴∭⊉4560∼≴∭⊉3263⇀∌","cot":[{"info":"≴∭⊉4560∼≴∭⊉3263=NaN","layer":1},{"info":"NaN⇀∌=NaN","layer":0}]}
+{"id":265,"expression_no_base_symbol":"(≸$2802$)⪶≀⋏($4052$⪄$3740$)","expression":"(≸≴∭⊉11112)⪶≀⋏(≴∭⊉14546⪄≴∭⊉13622)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":168,"operation_count":3,"complexity_ratio":56.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2802,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4052,"base":7},"right_expr":{"type":"numeric_atoms","value":3740,"base":7}}},"used_operators":["zR4jO40bMj","eOf03JbCpp","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-56346532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"number node, value=4052","layer":2},{"info":"number node, value=3740","layer":2},{"info":"compute binary expreesion, left_input=4052, right_input=3740, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-610745","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=-610745, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-4885960","layer":0}],"base":7,"result_base":7,"text":"(≸≴∭⊉11112)⪶≀⋏(≴∭⊉14546⪄≴∭⊉13622)=≴∭⊉-56346532","reverse_text":"≴∭⊉-56346532=(≸≴∭⊉11112)⪶≀⋏(≴∭⊉14546⪄≴∭⊉13622)","cot":[{"info":"≸≴∭⊉11112=≴∭⊉112","layer":1},{"info":"≴∭⊉14546⪄≴∭⊉13622=≴∭⊉-5122412","layer":1},{"info":"≴∭⊉112⪶≀⋏≴∭⊉-5122412=≴∭⊉-56346532","layer":0}]}
+{"id":266,"expression_no_base_symbol":"($3109$⨒$1110$)⩦($1351$⊜)","expression":"(≴∭⊉12031⨒≴∭⊉3144)⩦(≴∭⊉3640⊜)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3109,"base":7},"right_expr":{"type":"numeric_atoms","value":1110,"base":7}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1351,"base":7}}},"used_operators":["0kmYd0q39Y","y75s1iXyHd","Eev2Q7dYIw"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"≴∭⊉-1303015","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3109","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=3109, right_input=1110, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-18282","layer":1},{"info":"number node, value=1351","layer":2},{"info":"compute unary expreesion, input=1351, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3668","layer":1},{"info":"compute binary expreesion, left_input=-18282, right_input=-3668, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-169111","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12031⨒≴∭⊉3144)⩦(≴∭⊉3640⊜)=≴∭⊉-1303015","reverse_text":"≴∭⊉-1303015=(≴∭⊉12031⨒≴∭⊉3144)⩦(≴∭⊉3640⊜)","cot":[{"info":"≴∭⊉12031⨒≴∭⊉3144=≴∭⊉-104205","layer":1},{"info":"≴∭⊉3640⊜=≴∭⊉-13460","layer":1},{"info":"≴∭⊉-104205⩦≴∭⊉-13460=≴∭⊉-1303015","layer":0}]}
+{"id":267,"expression_no_base_symbol":"⩒∊(⋗⩬⋾$3791$)","expression":"⩒∊(⋗⩬⋾≴∭⊉14024)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3791,"base":7}}},"used_operators":["qazvmhNBbN","DpFCA1CohY"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-205120","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3791","layer":2},{"info":"compute unary expreesion, input=3791, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11373","layer":1},{"info":"compute unary expreesion, input=-11373, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-35392","layer":0}],"base":7,"result_base":7,"text":"⩒∊(⋗⩬⋾≴∭⊉14024)=≴∭⊉-205120","reverse_text":"≴∭⊉-205120=⩒∊(⋗⩬⋾≴∭⊉14024)","cot":[{"info":"⋗⩬⋾≴∭⊉14024=≴∭⊉-45105","layer":1},{"info":"⩒∊≴∭⊉-45105=≴∭⊉-205120","layer":0}]}
+{"id":268,"expression_no_base_symbol":"$2138$⋾⨃∁$3603$⫥∨⫟$4463$⊲⩕⊾$1142$","expression":"≴∭⊉6143⋾⨃∁≴∭⊉13335⫥∨⫟≴∭⊉16004⊲⩕⊾≴∭⊉3221","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3811,"operation_count":3,"complexity_ratio":1270.3333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2138,"base":7},"right_expr":{"type":"numeric_atoms","value":3603,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4463,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}},"used_operators":["KYD54nUTWz","212REbPD9h","DmTXOeWf9t"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2138","layer":2},{"info":"number node, value=3603","layer":2},{"info":"compute binary expreesion, left_input=2138, right_input=3603, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=129772760","layer":1},{"info":"number node, value=4463","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=4463, right_input=1142, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-79458","layer":1},{"info":"compute binary expreesion, left_input=129772760, right_input=-79458, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6143⋾⨃∁≴∭⊉13335⫥∨⫟≴∭⊉16004⊲⩕⊾≴∭⊉3221=NaN","reverse_text":"NaN=≴∭⊉6143⋾⨃∁≴∭⊉13335⫥∨⫟≴∭⊉16004⊲⩕⊾≴∭⊉3221","cot":[{"info":"≴∭⊉6143⋾⨃∁≴∭⊉13335=≴∭⊉3134023145","layer":1},{"info":"≴∭⊉16004⊲⩕⊾≴∭⊉3221=≴∭⊉-450441","layer":1},{"info":"≴∭⊉3134023145⫥∨⫟≴∭⊉-450441=NaN","layer":0}]}
+{"id":269,"expression_no_base_symbol":"↪⫪⫘($2685$∙⊟$3783$)","expression":"↪⫪⫘(≴∭⊉10554∙⊟≴∭⊉14013)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4545,"operation_count":2,"complexity_ratio":2272.5,"tree":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2685,"base":7},"right_expr":{"type":"numeric_atoms","value":3783,"base":7}}},"used_operators":["9dWsAM3GFt","SxTAKzQCrw"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2685","layer":2},{"info":"number node, value=3783","layer":2},{"info":"compute binary expreesion, left_input=2685, right_input=3783, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=44751","layer":1},{"info":"compute unary expreesion, input=44751, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":7,"result_base":7,"text":"↪⫪⫘(≴∭⊉10554∙⊟≴∭⊉14013)=≴∭⊉26","reverse_text":"≴∭⊉26=↪⫪⫘(≴∭⊉10554∙⊟≴∭⊉14013)","cot":[{"info":"≴∭⊉10554∙⊟≴∭⊉14013=≴∭⊉244320","layer":1},{"info":"↪⫪⫘≴∭⊉244320=≴∭⊉26","layer":0}]}
+{"id":270,"expression_no_base_symbol":"$1469$⪎↠$3984$∷$6217$∝$4785$","expression":"≴∭⊉4166⪎↠≴∭⊉14421∷≴∭⊉24061∝≴∭⊉16644","highest_n_order":1,"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":1469,"base":7},"right_expr":{"type":"numeric_atoms","value":3984,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6217,"base":7},"right_expr":{"type":"numeric_atoms","value":4785,"base":7}}},"used_operators":["D3AQDKkPcf","3tVxb0NHM4","cTDWOvIxvz"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉24066","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1469","layer":2},{"info":"number node, value=3984","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=3984, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=6217","layer":2},{"info":"number node, value=4785","layer":2},{"info":"compute binary expreesion, left_input=6217, right_input=4785, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6222","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=6222, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6222","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4166⪎↠≴∭⊉14421∷≴∭⊉24061∝≴∭⊉16644=≴∭⊉24066","reverse_text":"≴∭⊉24066=≴∭⊉4166⪎↠≴∭⊉14421∷≴∭⊉24061∝≴∭⊉16644","cot":[{"info":"≴∭⊉4166⪎↠≴∭⊉14421=≴∭⊉316","layer":1},{"info":"≴∭⊉24061∝≴∭⊉16644=≴∭⊉24066","layer":1},{"info":"≴∭⊉316∷≴∭⊉24066=≴∭⊉24066","layer":0}]}
+{"id":271,"expression_no_base_symbol":"($1904$⪡$5049$)+⪬∐$1253$↤⩊$3265$","expression":"(≴∭⊉5360⪡≴∭⊉20502)+⪬∐≴∭⊉3440↤⩊≴∭⊉12343","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":190,"operation_count":3,"complexity_ratio":63.333333333333336,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1904,"base":7},"right_expr":{"type":"numeric_atoms","value":5049,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1253,"base":7},"right_expr":{"type":"numeric_atoms","value":3265,"base":7}}},"used_operators":["2GS7woTJqF","oraRL2iQuh","13rbtpv6ld"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉-636","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1904","layer":2},{"info":"number node, value=5049","layer":2},{"info":"compute binary expreesion, left_input=1904, right_input=5049, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=1253","layer":2},{"info":"number node, value=3265","layer":2},{"info":"compute binary expreesion, left_input=1253, right_input=3265, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-321","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5360⪡≴∭⊉20502)+⪬∐≴∭⊉3440↤⩊≴∭⊉12343=≴∭⊉-636","reverse_text":"≴∭⊉-636=(≴∭⊉5360⪡≴∭⊉20502)+⪬∐≴∭⊉3440↤⩊≴∭⊉12343","cot":[{"info":"≴∭⊉5360⪡≴∭⊉20502=≴∭⊉212","layer":1},{"info":"≴∭⊉3440↤⩊≴∭⊉12343=NaN","layer":1},{"info":"≴∭⊉212+⪬∐NaN=≴∭⊉-636","layer":0}]}
+{"id":272,"expression_no_base_symbol":"$2610$⊉↱≁$6384$⪛($1606$⨓$1638$)","expression":"≴∭⊉10416⊉↱≁≴∭⊉24420⪛(≴∭⊉4453⨓≴∭⊉4530)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1679,"operation_count":3,"complexity_ratio":559.6666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2610,"base":7},"right_expr":{"type":"numeric_atoms","value":6384,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1606,"base":7},"right_expr":{"type":"numeric_atoms","value":1638,"base":7}}},"used_operators":["uFcxV4UQCh","w2P8NbNXyL","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≴∭⊉-361","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2610","layer":2},{"info":"number node, value=6384","layer":2},{"info":"compute binary expreesion, left_input=2610, right_input=6384, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-13318","layer":1},{"info":"number node, value=1606","layer":2},{"info":"number node, value=1638","layer":2},{"info":"compute binary expreesion, left_input=1606, right_input=1638, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1641","layer":1},{"info":"compute binary expreesion, left_input=-13318, right_input=-1641, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-190","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10416⊉↱≁≴∭⊉24420⪛(≴∭⊉4453⨓≴∭⊉4530)=≴∭⊉-361","reverse_text":"≴∭⊉-361=≴∭⊉10416⊉↱≁≴∭⊉24420⪛(≴∭⊉4453⨓≴∭⊉4530)","cot":[{"info":"≴∭⊉10416⊉↱≁≴∭⊉24420=≴∭⊉-53554","layer":1},{"info":"≴∭⊉4453⨓≴∭⊉4530=≴∭⊉-4533","layer":1},{"info":"≴∭⊉-53554⪛≴∭⊉-4533=≴∭⊉-361","layer":0}]}
+{"id":273,"expression_no_base_symbol":"$3633$+⪬∐$2139$⊭↱(⩪∧⨌$1181$)","expression":"≴∭⊉13410+⪬∐≴∭⊉6144⊭↱(⩪∧⨌≴∭⊉3305)","highest_n_order":1,"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":3633,"base":7},"right_expr":{"type":"numeric_atoms","value":2139,"base":7}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1181,"base":7}}},"used_operators":["COABgblf1C","2GS7woTJqF","6iOiAJX1F8"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"≴∭⊉246300","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3633","layer":2},{"info":"number node, value=2139","layer":2},{"info":"compute binary expreesion, left_input=3633, right_input=2139, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10899","layer":1},{"info":"number node, value=1181","layer":2},{"info":"compute unary expreesion, input=1181, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11810","layer":1},{"info":"compute binary expreesion, left_input=-10899, right_input=11810, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=45423","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13410+⪬∐≴∭⊉6144⊭↱(⩪∧⨌≴∭⊉3305)=≴∭⊉246300","reverse_text":"≴∭⊉246300=≴∭⊉13410+⪬∐≴∭⊉6144⊭↱(⩪∧⨌≴∭⊉3305)","cot":[{"info":"≴∭⊉13410+⪬∐≴∭⊉6144=≴∭⊉-43530","layer":1},{"info":"⩪∧⨌≴∭⊉3305=≴∭⊉46301","layer":1},{"info":"≴∭⊉-43530⊭↱≴∭⊉46301=≴∭⊉246300","layer":0}]}
+{"id":274,"expression_no_base_symbol":"$2288$↞⋁$1293$⇔⨋","expression":"≴∭⊉6446↞⋁≴∭⊉3525⇔⨋","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":201,"operation_count":2,"complexity_ratio":100.5,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2288,"base":7},"right_expr":{"type":"numeric_atoms","value":1293,"base":7}}},"used_operators":["uBihLCJcMX","RqrPlJkxDo"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2288","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=2288, right_input=1293, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6446↞⋁≴∭⊉3525⇔⨋=NaN","reverse_text":"NaN=≴∭⊉6446↞⋁≴∭⊉3525⇔⨋","cot":[{"info":"≴∭⊉6446↞⋁≴∭⊉3525=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
+{"id":275,"expression_no_base_symbol":"(⩦⩻⨪$6625$)⋥≓≎($2414$⫳≱↱$6220$)","expression":"(⩦⩻⨪≴∭⊉25213)⋥≓≎(≴∭⊉10016⫳≱↱≴∭⊉24064)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":316,"operation_count":3,"complexity_ratio":105.33333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6625,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2414,"base":7},"right_expr":{"type":"numeric_atoms","value":6220,"base":7}}},"used_operators":["Qy55tPpLXF","2td37pGCOC","ZvLB05nZmT"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"≴∭⊉-26260","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6625","layer":2},{"info":"compute unary expreesion, input=6625, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6625","layer":1},{"info":"number node, value=2414","layer":2},{"info":"number node, value=6220","layer":2},{"info":"compute binary expreesion, left_input=2414, right_input=6220, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=6625, right_input=-204, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-7000","layer":0}],"base":7,"result_base":7,"text":"(⩦⩻⨪≴∭⊉25213)⋥≓≎(≴∭⊉10016⫳≱↱≴∭⊉24064)=≴∭⊉-26260","reverse_text":"≴∭⊉-26260=(⩦⩻⨪≴∭⊉25213)⋥≓≎(≴∭⊉10016⫳≱↱≴∭⊉24064)","cot":[{"info":"⩦⩻⨪≴∭⊉25213=≴∭⊉25213","layer":1},{"info":"≴∭⊉10016⫳≱↱≴∭⊉24064=≴∭⊉-411","layer":1},{"info":"≴∭⊉25213⋥≓≎≴∭⊉-411=≴∭⊉-26260","layer":0}]}
+{"id":276,"expression_no_base_symbol":"$2627$⇍⊗$3265$⊨($1633$⨑≵⋬$1006$)","expression":"≴∭⊉10442⇍⊗≴∭⊉12343⊨(≴∭⊉4522⨑≵⋬≴∭⊉2635)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2627,"base":7},"right_expr":{"type":"numeric_atoms","value":3265,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1633,"base":7},"right_expr":{"type":"numeric_atoms","value":1006,"base":7}}},"used_operators":["vg4gO5BX6G","5uvYHDjeKN","XnXgA4xnOs"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2627","layer":2},{"info":"number node, value=3265","layer":2},{"info":"compute binary expreesion, left_input=2627, right_input=3265, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=1633","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1633, right_input=1006, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2502","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=2502, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10442⇍⊗≴∭⊉12343⊨(≴∭⊉4522⨑≵⋬≴∭⊉2635)=≴∭⊉-336","reverse_text":"≴∭⊉-336=≴∭⊉10442⇍⊗≴∭⊉12343⊨(≴∭⊉4522⨑≵⋬≴∭⊉2635)","cot":[{"info":"≴∭⊉10442⇍⊗≴∭⊉12343=≴∭⊉-466","layer":1},{"info":"≴∭⊉4522⨑≵⋬≴∭⊉2635=≴∭⊉10203","layer":1},{"info":"≴∭⊉-466⊨≴∭⊉10203=≴∭⊉-336","layer":0}]}
+{"id":277,"expression_no_base_symbol":"$5902$⇂≾⫗$3730$⨸($5199$⊾⪯⋞$4318$)","expression":"≴∭⊉23131⇂≾⫗≴∭⊉13606⨸(≴∭⊉21105⊾⪯⋞≴∭⊉15406)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":906,"operation_count":3,"complexity_ratio":302.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5902,"base":7},"right_expr":{"type":"numeric_atoms","value":3730,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5199,"base":7},"right_expr":{"type":"numeric_atoms","value":4318,"base":7}}},"used_operators":["KmoU8R5UQR","aBQ6xLxuTc","HK0tfVPux8"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉14631340","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5902","layer":2},{"info":"number node, value=3730","layer":2},{"info":"compute binary expreesion, left_input=5902, right_input=3730, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=5199","layer":2},{"info":"number node, value=4318","layer":2},{"info":"compute binary expreesion, left_input=5199, right_input=4318, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8210","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=8210, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1402702","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23131⇂≾⫗≴∭⊉13606⨸(≴∭⊉21105⊾⪯⋞≴∭⊉15406)=≴∭⊉14631340","reverse_text":"≴∭⊉14631340=≴∭⊉23131⇂≾⫗≴∭⊉13606⨸(≴∭⊉21105⊾⪯⋞≴∭⊉15406)","cot":[{"info":"≴∭⊉23131⇂≾⫗≴∭⊉13606=≴∭⊉-1654","layer":1},{"info":"≴∭⊉21105⊾⪯⋞≴∭⊉15406=≴∭⊉32636","layer":1},{"info":"≴∭⊉-1654⨸≴∭⊉32636=≴∭⊉14631340","layer":0}]}
+{"id":278,"expression_no_base_symbol":"$2282$⪬$2943$⇄(⨭⩧⫛$1789$)","expression":"≴∭⊉6440⪬≴∭⊉11403⇄(⨭⩧⫛≴∭⊉5134)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":613,"operation_count":3,"complexity_ratio":204.33333333333334,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2282,"base":7},"right_expr":{"type":"numeric_atoms","value":2943,"base":7}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1789,"base":7}}},"used_operators":["3EYGwJThht","Ez1Nq5fNfI","g21JL6JxX7"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2282","layer":2},{"info":"number node, value=2943","layer":2},{"info":"compute binary expreesion, left_input=2282, right_input=2943, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1789","layer":2},{"info":"compute unary expreesion, input=1789, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6440⪬≴∭⊉11403⇄(⨭⩧⫛≴∭⊉5134)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉6440⪬≴∭⊉11403⇄(⨭⩧⫛≴∭⊉5134)","cot":[{"info":"≴∭⊉6440⪬≴∭⊉11403=≴∭⊉3412","layer":1},{"info":"⨭⩧⫛≴∭⊉5134=NaN","layer":1},{"info":"≴∭⊉3412⇄NaN=≴∭⊉0","layer":0}]}
+{"id":279,"expression_no_base_symbol":"⨈⪑($1727$∙∹∝$6462$)","expression":"⨈⪑(≴∭⊉5015∙∹∝≴∭⊉24561)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":77,"operation_count":2,"complexity_ratio":38.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1727,"base":7},"right_expr":{"type":"numeric_atoms","value":6462,"base":7}}},"used_operators":["mp94q5OcYM","HmxsFra2vL"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":2},{"info":"number node, value=6462","layer":2},{"info":"compute binary expreesion, left_input=1727, right_input=6462, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"⨈⪑(≴∭⊉5015∙∹∝≴∭⊉24561)=≴∭⊉2350","reverse_text":"≴∭⊉2350=⨈⪑(≴∭⊉5015∙∹∝≴∭⊉24561)","cot":[{"info":"≴∭⊉5015∙∹∝≴∭⊉24561=≴∭⊉0","layer":1},{"info":"⨈⪑≴∭⊉0=≴∭⊉2350","layer":0}]}
+{"id":280,"expression_no_base_symbol":"⫛⫱⨽($2244$⫒⫫$7908$)","expression":"⫛⫱⨽(≴∭⊉6354⫒⫫≴∭⊉32025)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":916,"operation_count":2,"complexity_ratio":458.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2244,"base":7},"right_expr":{"type":"numeric_atoms","value":7908,"base":7}}},"used_operators":["DlLNRPXxWL","6Ko8hGgeMq"],"dependent_operators":["rGHVDoGpnC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2244","layer":2},{"info":"number node, value=7908","layer":2},{"info":"compute binary expreesion, left_input=2244, right_input=7908, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫛⫱⨽(≴∭⊉6354⫒⫫≴∭⊉32025)=NaN","reverse_text":"NaN=⫛⫱⨽(≴∭⊉6354⫒⫫≴∭⊉32025)","cot":[{"info":"≴∭⊉6354⫒⫫≴∭⊉32025=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
+{"id":281,"expression_no_base_symbol":"(∷≠$2289$)⨸⪁$4588$⪔⊥$4470$","expression":"(∷≠≴∭⊉6450)⨸⪁≴∭⊉16243⪔⊥≴∭⊉16014","highest_n_order":1,"priority_hierarchical_complexity":2,"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":2289,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4588,"base":7},"right_expr":{"type":"numeric_atoms","value":4470,"base":7}}},"used_operators":["g55IO6H4Gj","QiR2Oyf5Xj","HJ9erzHUuu"],"dependent_operators":["W4YGzv6Whe","7j4O788W3g","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉124032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":2},{"info":"compute unary expreesion, input=2289, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2289","layer":1},{"info":"number node, value=4588","layer":2},{"info":"number node, value=4470","layer":2},{"info":"compute binary expreesion, left_input=4588, right_input=4470, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9213","layer":1},{"info":"compute binary expreesion, left_input=2289, right_input=9213, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23004","layer":0}],"base":7,"result_base":7,"text":"(∷≠≴∭⊉6450)⨸⪁≴∭⊉16243⪔⊥≴∭⊉16014=≴∭⊉124032","reverse_text":"≴∭⊉124032=(∷≠≴∭⊉6450)⨸⪁≴∭⊉16243⪔⊥≴∭⊉16014","cot":[{"info":"∷≠≴∭⊉6450=≴∭⊉6450","layer":1},{"info":"≴∭⊉16243⪔⊥≴∭⊉16014=≴∭⊉35601","layer":1},{"info":"≴∭⊉6450⨸⪁≴∭⊉35601=≴∭⊉124032","layer":0}]}
+{"id":282,"expression_no_base_symbol":"(∜⨇$1811$)⇗⋫","expression":"(∜⨇≴∭⊉5165)⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":58,"operation_count":2,"complexity_ratio":29.0,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1811,"base":7}}},"used_operators":["hpqmaQFPrd","uFPyJr306J"],"dependent_operators":["rxpJgHHUmx","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1811","layer":2},{"info":"compute unary expreesion, input=1811, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∜⨇≴∭⊉5165)⇗⋫=NaN","reverse_text":"NaN=(∜⨇≴∭⊉5165)⇗⋫","cot":[{"info":"∜⨇≴∭⊉5165=NaN","layer":1},{"info":"NaN⇗⋫=NaN","layer":0}]}
+{"id":283,"expression_no_base_symbol":"($4748$≬⋮$1680$)↙$5785$≒∊$1817$","expression":"(≴∭⊉16562≬⋮≴∭⊉4620)↙≴∭⊉22603≒∊≴∭⊉5204","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5324,"operation_count":3,"complexity_ratio":1774.6666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4748,"base":7},"right_expr":{"type":"numeric_atoms","value":1680,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5785,"base":7},"right_expr":{"type":"numeric_atoms","value":1817,"base":7}}},"used_operators":["yyfyN0ffXY","kbkesczE7y","5KTvxBwnZo"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉-64236","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4748","layer":2},{"info":"number node, value=1680","layer":2},{"info":"compute binary expreesion, left_input=4748, right_input=1680, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=5785","layer":2},{"info":"number node, value=1817","layer":2},{"info":"compute binary expreesion, left_input=5785, right_input=1817, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5301","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-5301, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15903","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16562≬⋮≴∭⊉4620)↙≴∭⊉22603≒∊≴∭⊉5204=≴∭⊉-64236","reverse_text":"≴∭⊉-64236=(≴∭⊉16562≬⋮≴∭⊉4620)↙≴∭⊉22603≒∊≴∭⊉5204","cot":[{"info":"≴∭⊉16562≬⋮≴∭⊉4620=≴∭⊉2350","layer":1},{"info":"≴∭⊉22603≒∊≴∭⊉5204=≴∭⊉-21312","layer":1},{"info":"≴∭⊉2350↙≴∭⊉-21312=≴∭⊉-64236","layer":0}]}
+{"id":284,"expression_no_base_symbol":"⪨⨬($1552$⩹$5339$)","expression":"⪨⨬(≴∭⊉4345⩹≴∭⊉21365)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1552,"base":7},"right_expr":{"type":"numeric_atoms","value":5339,"base":7}}},"used_operators":["5obUd6DV38","2Wsdkap16l"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉-1351","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1552","layer":2},{"info":"number node, value=5339","layer":2},{"info":"compute binary expreesion, left_input=1552, right_input=5339, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5337","layer":1},{"info":"compute unary expreesion, input=5337, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":7,"result_base":7,"text":"⪨⨬(≴∭⊉4345⩹≴∭⊉21365)=≴∭⊉-1351","reverse_text":"≴∭⊉-1351=⪨⨬(≴∭⊉4345⩹≴∭⊉21365)","cot":[{"info":"≴∭⊉4345⩹≴∭⊉21365=≴∭⊉21363","layer":1},{"info":"⪨⨬≴∭⊉21363=≴∭⊉-1351","layer":0}]}
+{"id":285,"expression_no_base_symbol":"$1308$⋝⋈⪟$5424$∽$1243$≁$1703$","expression":"≴∭⊉3546⋝⋈⪟≴∭⊉21546∽≴∭⊉3424≁≴∭⊉4652","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1308,"base":7},"right_expr":{"type":"numeric_atoms","value":5424,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1243,"base":7},"right_expr":{"type":"numeric_atoms","value":1703,"base":7}}},"used_operators":["y4ImoPnbV5","2DDjHMKMc0","8N2wDY1A35"],"dependent_operators":["NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"≴∭⊉-521366","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":2},{"info":"number node, value=5424","layer":2},{"info":"compute binary expreesion, left_input=1308, right_input=5424, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1308","layer":1},{"info":"number node, value=1243","layer":2},{"info":"number node, value=1703","layer":2},{"info":"compute binary expreesion, left_input=1243, right_input=1703, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=27671","layer":1},{"info":"compute binary expreesion, left_input=1308, right_input=27671, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-89375","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3546⋝⋈⪟≴∭⊉21546∽≴∭⊉3424≁≴∭⊉4652=≴∭⊉-521366","reverse_text":"≴∭⊉-521366=≴∭⊉3546⋝⋈⪟≴∭⊉21546∽≴∭⊉3424≁≴∭⊉4652","cot":[{"info":"≴∭⊉3546⋝⋈⪟≴∭⊉21546=≴∭⊉3546","layer":1},{"info":"≴∭⊉3424≁≴∭⊉4652=≴∭⊉143450","layer":1},{"info":"≴∭⊉3546∽≴∭⊉143450=≴∭⊉-521366","layer":0}]}
+{"id":286,"expression_no_base_symbol":"$3793$⩼⇪↪$2596$⫲⨊","expression":"≴∭⊉14026⩼⇪↪≴∭⊉10366⫲⨊","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":71,"operation_count":2,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3793,"base":7},"right_expr":{"type":"numeric_atoms","value":2596,"base":7}}},"used_operators":["CArV6hThFE","ocnLzx9CaJ"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉-322306","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3793","layer":2},{"info":"number node, value=2596","layer":2},{"info":"compute binary expreesion, left_input=3793, right_input=2596, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11369","layer":1},{"info":"compute unary expreesion, input=-11369, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-56062","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14026⩼⇪↪≴∭⊉10366⫲⨊=≴∭⊉-322306","reverse_text":"≴∭⊉-322306=≴∭⊉14026⩼⇪↪≴∭⊉10366⫲⨊","cot":[{"info":"≴∭⊉14026⩼⇪↪≴∭⊉10366=≴∭⊉-45101","layer":1},{"info":"≴∭⊉-45101⫲⨊=≴∭⊉-322306","layer":0}]}
+{"id":287,"expression_no_base_symbol":"(⫶⊄≣$2654$)⋖∅⋲","expression":"(⫶⊄≣≴∭⊉10511)⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2849,"operation_count":2,"complexity_ratio":1424.5,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2654,"base":7}}},"used_operators":["L95AwlJzhO","wxb3vTeyAj"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"≴∭⊉-3160131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2654","layer":2},{"info":"compute unary expreesion, input=2654, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=126831349","layer":1},{"info":"compute unary expreesion, input=126831349, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":7,"result_base":7,"text":"(⫶⊄≣≴∭⊉10511)⋖∅⋲=≴∭⊉-3160131","reverse_text":"≴∭⊉-3160131=(⫶⊄≣≴∭⊉10511)⋖∅⋲","cot":[{"info":"⫶⊄≣≴∭⊉10511=≴∭⊉3100022461","layer":1},{"info":"≴∭⊉3100022461⋖∅⋲=≴∭⊉-3160131","layer":0}]}
+{"id":288,"expression_no_base_symbol":"($3243$⨑≵⋬$2008$)⩍⋽⫝̸($1108$⫡⨏$1040$)","expression":"(≴∭⊉12312⨑≵⋬≴∭⊉5566)⩍⋽⫝̸(≴∭⊉3142⫡⨏≴∭⊉3014)","highest_n_order":1,"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":3243,"base":7},"right_expr":{"type":"numeric_atoms","value":2008,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1108,"base":7},"right_expr":{"type":"numeric_atoms","value":1040,"base":7}}},"used_operators":["BiWNJpBvwn","XnXgA4xnOs","QMFrweE19q"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉30512","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":2},{"info":"number node, value=2008","layer":2},{"info":"compute binary expreesion, left_input=3243, right_input=2008, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=3538","layer":1},{"info":"number node, value=1108","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=1108, right_input=1040, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8403","layer":1},{"info":"compute binary expreesion, left_input=3538, right_input=8403, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7457","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12312⨑≵⋬≴∭⊉5566)⩍⋽⫝̸(≴∭⊉3142⫡⨏≴∭⊉3014)=≴∭⊉30512","reverse_text":"≴∭⊉30512=(≴∭⊉12312⨑≵⋬≴∭⊉5566)⩍⋽⫝̸(≴∭⊉3142⫡⨏≴∭⊉3014)","cot":[{"info":"≴∭⊉12312⨑≵⋬≴∭⊉5566=≴∭⊉13213","layer":1},{"info":"≴∭⊉3142⫡⨏≴∭⊉3014=≴∭⊉33333","layer":1},{"info":"≴∭⊉13213⩍⋽⫝̸≴∭⊉33333=≴∭⊉30512","layer":0}]}
+{"id":289,"expression_no_base_symbol":"($4335$⨐⩸⫘$2041$)⩷∴(⋂$3384$)","expression":"(≴∭⊉15432⨐⩸⫘≴∭⊉5644)⩷∴(⋂≴∭⊉12603)","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":4335,"base":7},"right_expr":{"type":"numeric_atoms","value":2041,"base":7}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3384,"base":7}}},"used_operators":["9FxExcQeMw","fu6greOZ01","BUOGQAYlQx"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4335","layer":2},{"info":"number node, value=2041","layer":2},{"info":"compute binary expreesion, left_input=4335, right_input=2041, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3384","layer":2},{"info":"compute unary expreesion, input=3384, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-46780","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-46780, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15432⨐⩸⫘≴∭⊉5644)⩷∴(⋂≴∭⊉12603)=NaN","reverse_text":"NaN=(≴∭⊉15432⨐⩸⫘≴∭⊉5644)⩷∴(⋂≴∭⊉12603)","cot":[{"info":"≴∭⊉15432⨐⩸⫘≴∭⊉5644=NaN","layer":1},{"info":"⋂≴∭⊉12603=≴∭⊉-253246","layer":1},{"info":"NaN⩷∴≴∭⊉-253246=NaN","layer":0}]}
+{"id":290,"expression_no_base_symbol":"(⪛⨧$1098$)⪁$2758$⪇≇⋚$4292$","expression":"(⪛⨧≴∭⊉3126)⪁≴∭⊉11020⪇≇⋚≴∭⊉15341","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3975,"operation_count":3,"complexity_ratio":1325.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1098,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2758,"base":7},"right_expr":{"type":"numeric_atoms","value":4292,"base":7}}},"used_operators":["I7sXao9hZE","6NJAcO2OWT","3sJ7IOPOlU"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"compute unary expreesion, input=1098, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3597","layer":1},{"info":"number node, value=2758","layer":2},{"info":"number node, value=4292","layer":2},{"info":"compute binary expreesion, left_input=2758, right_input=4292, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3597, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪛⨧≴∭⊉3126)⪁≴∭⊉11020⪇≇⋚≴∭⊉15341=NaN","reverse_text":"NaN=(⪛⨧≴∭⊉3126)⪁≴∭⊉11020⪇≇⋚≴∭⊉15341","cot":[{"info":"⪛⨧≴∭⊉3126=≴∭⊉13326","layer":1},{"info":"≴∭⊉11020⪇≇⋚≴∭⊉15341=≴∭⊉0","layer":1},{"info":"≴∭⊉13326⪁≴∭⊉0=NaN","layer":0}]}
+{"id":291,"expression_no_base_symbol":"⊖∈$1382$≌$4277$","expression":"⊖∈≴∭⊉4013≌≴∭⊉15320","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4444,"operation_count":2,"complexity_ratio":2222.0,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1382,"base":7},"right_expr":{"type":"numeric_atoms","value":4277,"base":7}}},"used_operators":["YFxL8Sc2Zy","lyWz822IDG"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1382","layer":2},{"info":"number node, value=4277","layer":2},{"info":"compute binary expreesion, left_input=1382, right_input=4277, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊖∈≴∭⊉4013≌≴∭⊉15320=NaN","reverse_text":"NaN=⊖∈≴∭⊉4013≌≴∭⊉15320","cot":[{"info":"≴∭⊉4013≌≴∭⊉15320=NaN","layer":1},{"info":"⊖∈NaN=NaN","layer":0}]}
+{"id":292,"expression_no_base_symbol":"⫟$3960$≒∊$1448$","expression":"⫟≴∭⊉14355≒∊≴∭⊉4136","highest_n_order":3,"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":3960,"base":7},"right_expr":{"type":"numeric_atoms","value":1448,"base":7}}},"used_operators":["z4E1FaHLuy","5KTvxBwnZo"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉12304","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"number node, value=1448","layer":2},{"info":"compute binary expreesion, left_input=3960, right_input=1448, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3476","layer":1},{"info":"compute unary expreesion, input=-3476, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=3238","layer":0}],"base":7,"result_base":7,"text":"⫟≴∭⊉14355≒∊≴∭⊉4136=≴∭⊉12304","reverse_text":"≴∭⊉12304=⫟≴∭⊉14355≒∊≴∭⊉4136","cot":[{"info":"≴∭⊉14355≒∊≴∭⊉4136=≴∭⊉-13064","layer":1},{"info":"⫟≴∭⊉-13064=≴∭⊉12304","layer":0}]}
+{"id":293,"expression_no_base_symbol":"($5783$≦↸$8650$)⨔⇊($3171$⩵∡$2675$)","expression":"(≴∭⊉22601≦↸≴∭⊉34135)⨔⇊(≴∭⊉12150⩵∡≴∭⊉10541)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5783,"base":7},"right_expr":{"type":"numeric_atoms","value":8650,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3171,"base":7},"right_expr":{"type":"numeric_atoms","value":2675,"base":7}}},"used_operators":["JclMnS0uGI","RygbFNSyEJ","Y7wcNGrDQJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉-1210335","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5783","layer":2},{"info":"number node, value=8650","layer":2},{"info":"compute binary expreesion, left_input=5783, right_input=8650, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-28185","layer":1},{"info":"number node, value=3171","layer":2},{"info":"number node, value=2675","layer":2},{"info":"compute binary expreesion, left_input=3171, right_input=2675, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3788","layer":1},{"info":"compute binary expreesion, left_input=-28185, right_input=-3788, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-153837","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22601≦↸≴∭⊉34135)⨔⇊(≴∭⊉12150⩵∡≴∭⊉10541)=≴∭⊉-1210335","reverse_text":"≴∭⊉-1210335=(≴∭⊉22601≦↸≴∭⊉34135)⨔⇊(≴∭⊉12150⩵∡≴∭⊉10541)","cot":[{"info":"≴∭⊉22601≦↸≴∭⊉34135=≴∭⊉-145113","layer":1},{"info":"≴∭⊉12150⩵∡≴∭⊉10541=≴∭⊉-14021","layer":1},{"info":"≴∭⊉-145113⨔⇊≴∭⊉-14021=≴∭⊉-1210335","layer":0}]}
+{"id":294,"expression_no_base_symbol":"$3902$∝$1446$+$3483$⊍⩺⋍$5039$","expression":"≴∭⊉14243∝≴∭⊉4134+≴∭⊉13104⊍⩺⋍≴∭⊉20456","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":217,"operation_count":3,"complexity_ratio":72.33333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3902,"base":7},"right_expr":{"type":"numeric_atoms","value":1446,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3483,"base":7},"right_expr":{"type":"numeric_atoms","value":5039,"base":7}}},"used_operators":["W4YGzv6Whe","cTDWOvIxvz","OXDGMFPWZM"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3902","layer":2},{"info":"number node, value=1446","layer":2},{"info":"compute binary expreesion, left_input=3902, right_input=1446, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3907","layer":1},{"info":"number node, value=3483","layer":2},{"info":"number node, value=5039","layer":2},{"info":"compute binary expreesion, left_input=3483, right_input=5039, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3907, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14243∝≴∭⊉4134+≴∭⊉13104⊍⩺⋍≴∭⊉20456=NaN","reverse_text":"NaN=≴∭⊉14243∝≴∭⊉4134+≴∭⊉13104⊍⩺⋍≴∭⊉20456","cot":[{"info":"≴∭⊉14243∝≴∭⊉4134=≴∭⊉14251","layer":1},{"info":"≴∭⊉13104⊍⩺⋍≴∭⊉20456=NaN","layer":1},{"info":"≴∭⊉14251+NaN=NaN","layer":0}]}
+{"id":295,"expression_no_base_symbol":"⨂⪏⇭(⇜$1817$)","expression":"⨂⪏⇭(⇜≴∭⊉5204)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":336,"operation_count":2,"complexity_ratio":168.0,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1817,"base":7}}},"used_operators":["AYdpE9sXAk","lFBm8KRb8F"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"≴∭⊉-250363","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1817","layer":2},{"info":"compute unary expreesion, input=1817, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-14944","layer":1},{"info":"compute unary expreesion, input=-14944, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-45811","layer":0}],"base":7,"result_base":7,"text":"⨂⪏⇭(⇜≴∭⊉5204)=≴∭⊉-250363","reverse_text":"≴∭⊉-250363=⨂⪏⇭(⇜≴∭⊉5204)","cot":[{"info":"⇜≴∭⊉5204=≴∭⊉-61366","layer":1},{"info":"⨂⪏⇭≴∭⊉-61366=≴∭⊉-250363","layer":0}]}
+{"id":296,"expression_no_base_symbol":"(⨴⫝$3228$)⫔⩽⩺(⇵⪽$7277$)","expression":"(⨴⫝≴∭⊉12261)⫔⩽⩺(⇵⪽≴∭⊉30134)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1850,"operation_count":3,"complexity_ratio":616.6666666666666,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":3228,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":7277,"base":7}}},"used_operators":["i9eR4S00cU","SVb2v531z1","ZGCBLdVRRX"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":2},{"info":"compute unary expreesion, input=3228, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"number node, value=7277","layer":2},{"info":"compute unary expreesion, input=7277, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨴⫝≴∭⊉12261)⫔⩽⩺(⇵⪽≴∭⊉30134)=NaN","reverse_text":"NaN=(⨴⫝≴∭⊉12261)⫔⩽⩺(⇵⪽≴∭⊉30134)","cot":[{"info":"⨴⫝≴∭⊉12261=≴∭⊉33016322","layer":1},{"info":"⇵⪽≴∭⊉30134=NaN","layer":1},{"info":"≴∭⊉33016322⫔⩽⩺NaN=NaN","layer":0}]}
+{"id":297,"expression_no_base_symbol":"($5366$⊉↱≁$3505$)∺≝⩲(≔$1448$)","expression":"(≴∭⊉21434⊉↱≁≴∭⊉13135)∺≝⩲(≔≴∭⊉4136)","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":5366,"base":7},"right_expr":{"type":"numeric_atoms","value":3505,"base":7}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1448,"base":7}}},"used_operators":["KPf6cnQVty","w2P8NbNXyL","8FLs4eVsLt"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5366","layer":2},{"info":"number node, value=3505","layer":2},{"info":"compute binary expreesion, left_input=5366, right_input=3505, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=32578","layer":1},{"info":"number node, value=1448","layer":2},{"info":"compute unary expreesion, input=1448, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-39250","layer":1},{"info":"compute binary expreesion, left_input=32578, right_input=-39250, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21434⊉↱≁≴∭⊉13135)∺≝⩲(≔≴∭⊉4136)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉21434⊉↱≁≴∭⊉13135)∺≝⩲(≔≴∭⊉4136)","cot":[{"info":"≴∭⊉21434⊉↱≁≴∭⊉13135=≴∭⊉163660","layer":1},{"info":"≔≴∭⊉4136=≴∭⊉-222301","layer":1},{"info":"≴∭⊉163660∺≝⩲≴∭⊉-222301=≴∭⊉316","layer":0}]}
+{"id":298,"expression_no_base_symbol":"$1299$⪛$1225$≥⨤⩑($2197$⪁$6186$)","expression":"≴∭⊉3534⪛≴∭⊉3400≥⨤⩑(≴∭⊉6256⪁≴∭⊉24015)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":501882108,"operation_count":3,"complexity_ratio":167294036.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1299,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2197,"base":7},"right_expr":{"type":"numeric_atoms","value":6186,"base":7}}},"used_operators":["gJLn6v0xnP","uFcxV4UQCh","I7sXao9hZE"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=1225, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=74","layer":1},{"info":"number node, value=2197","layer":2},{"info":"number node, value=6186","layer":2},{"info":"compute binary expreesion, left_input=2197, right_input=6186, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=74, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3534⪛≴∭⊉3400≥⨤⩑(≴∭⊉6256⪁≴∭⊉24015)=≴∭⊉3412","reverse_text":"≴∭⊉3412=≴∭⊉3534⪛≴∭⊉3400≥⨤⩑(≴∭⊉6256⪁≴∭⊉24015)","cot":[{"info":"≴∭⊉3534⪛≴∭⊉3400=≴∭⊉134","layer":1},{"info":"≴∭⊉6256⪁≴∭⊉24015=NaN","layer":1},{"info":"≴∭⊉134≥⨤⩑NaN=≴∭⊉3412","layer":0}]}
+{"id":299,"expression_no_base_symbol":"⪫⨮⊛(⫎≠⋺$1376$)","expression":"⪫⨮⊛(⫎≠⋺≴∭⊉4004)","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":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1376,"base":7}}},"used_operators":["w5FWba1tyO","LYeZOJ0nQG"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1376","layer":2},{"info":"compute unary expreesion, input=1376, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⪫⨮⊛(⫎≠⋺≴∭⊉4004)=≴∭⊉0","reverse_text":"≴∭⊉0=⪫⨮⊛(⫎≠⋺≴∭⊉4004)","cot":[{"info":"⫎≠⋺≴∭⊉4004=≴∭⊉0","layer":1},{"info":"⪫⨮⊛≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":300,"expression_no_base_symbol":"⩰($2482$⫡⨏$3063$)","expression":"⩰(≴∭⊉10144⫡⨏≴∭⊉11634)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2482,"base":7},"right_expr":{"type":"numeric_atoms","value":3063,"base":7}}},"used_operators":["WkeUrDK8WX","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-113145","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":2},{"info":"number node, value=3063","layer":2},{"info":"compute binary expreesion, left_input=2482, right_input=3063, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19319","layer":1},{"info":"compute unary expreesion, input=19319, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-20319","layer":0}],"base":7,"result_base":7,"text":"⩰(≴∭⊉10144⫡⨏≴∭⊉11634)=≴∭⊉-113145","reverse_text":"≴∭⊉-113145=⩰(≴∭⊉10144⫡⨏≴∭⊉11634)","cot":[{"info":"≴∭⊉10144⫡⨏≴∭⊉11634=≴∭⊉110216","layer":1},{"info":"⩰≴∭⊉110216=≴∭⊉-113145","layer":0}]}
+{"id":301,"expression_no_base_symbol":"⋃(⨞⊢$4343$)","expression":"⋃(⨞⊢≴∭⊉15443)","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":4343,"base":7}}},"used_operators":["3mBM5G4a3l","xUOZtlo3hN"],"dependent_operators":["g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-35020","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4343","layer":2},{"info":"compute unary expreesion, input=4343, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4517","layer":1},{"info":"compute unary expreesion, input=-4517, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-8932","layer":0}],"base":7,"result_base":7,"text":"⋃(⨞⊢≴∭⊉15443)=≴∭⊉-35020","reverse_text":"≴∭⊉-35020=⋃(⨞⊢≴∭⊉15443)","cot":[{"info":"⨞⊢≴∭⊉15443=≴∭⊉-16112","layer":1},{"info":"⋃≴∭⊉-16112=≴∭⊉-35020","layer":0}]}
+{"id":302,"expression_no_base_symbol":"$1289$∼$2277$⫢⨠$1366$⩼⇪↪$5395$","expression":"≴∭⊉3521∼≴∭⊉6432⫢⨠≴∭⊉3661⩼⇪↪≴∭⊉21505","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1289,"base":7},"right_expr":{"type":"numeric_atoms","value":2277,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1366,"base":7},"right_expr":{"type":"numeric_atoms","value":5395,"base":7}}},"used_operators":["xlXykHWxX1","DyGG3AbaNP","ocnLzx9CaJ"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":2},{"info":"number node, value=2277","layer":2},{"info":"compute binary expreesion, left_input=1289, right_input=2277, 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=1366","layer":2},{"info":"number node, value=5395","layer":2},{"info":"compute binary expreesion, left_input=1366, right_input=5395, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-35816","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-35816, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3521∼≴∭⊉6432⫢⨠≴∭⊉3661⩼⇪↪≴∭⊉21505=NaN","reverse_text":"NaN=≴∭⊉3521∼≴∭⊉6432⫢⨠≴∭⊉3661⩼⇪↪≴∭⊉21505","cot":[{"info":"≴∭⊉3521∼≴∭⊉6432=NaN","layer":1},{"info":"≴∭⊉3661⩼⇪↪≴∭⊉21505=≴∭⊉-206264","layer":1},{"info":"NaN⫢⨠≴∭⊉-206264=NaN","layer":0}]}
+{"id":303,"expression_no_base_symbol":"∂(⨈⫕$4446$)","expression":"∂(⨈⫕≴∭⊉15651)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":803,"operation_count":2,"complexity_ratio":401.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4446,"base":7}}},"used_operators":["Uaa54Peajs","megm06wKyl"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≴∭⊉-465","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4446","layer":2},{"info":"compute unary expreesion, input=4446, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-243","layer":0}],"base":7,"result_base":7,"text":"∂(⨈⫕≴∭⊉15651)=≴∭⊉-465","reverse_text":"≴∭⊉-465=∂(⨈⫕≴∭⊉15651)","cot":[{"info":"⨈⫕≴∭⊉15651=≴∭⊉-30","layer":1},{"info":"∂≴∭⊉-30=≴∭⊉-465","layer":0}]}
+{"id":304,"expression_no_base_symbol":"↴⪽⋼$8782$⋳⪒$3512$","expression":"↴⪽⋼≴∭⊉34414⋳⪒≴∭⊉13145","highest_n_order":3,"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":8782,"base":7},"right_expr":{"type":"numeric_atoms","value":3512,"base":7}}},"used_operators":["5TUYCnJO6w","12rbrZMWeM"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉55063","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8782","layer":2},{"info":"number node, value=3512","layer":2},{"info":"compute binary expreesion, left_input=8782, right_input=3512, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13765","layer":1},{"info":"compute unary expreesion, input=13765, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=13765","layer":0}],"base":7,"result_base":7,"text":"↴⪽⋼≴∭⊉34414⋳⪒≴∭⊉13145=≴∭⊉55063","reverse_text":"≴∭⊉55063=↴⪽⋼≴∭⊉34414⋳⪒≴∭⊉13145","cot":[{"info":"≴∭⊉34414⋳⪒≴∭⊉13145=≴∭⊉55063","layer":1},{"info":"↴⪽⋼≴∭⊉55063=≴∭⊉55063","layer":0}]}
+{"id":305,"expression_no_base_symbol":"($1290$⇋≉)⫥∨⫟$1061$⊨$3673$","expression":"(≴∭⊉3522⇋≉)⫥∨⫟≴∭⊉3044⊨≴∭⊉13465","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":167,"operation_count":3,"complexity_ratio":55.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1290,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1061,"base":7},"right_expr":{"type":"numeric_atoms","value":3673,"base":7}}},"used_operators":["KYD54nUTWz","XIabStNQrY","vg4gO5BX6G"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1290","layer":2},{"info":"compute unary expreesion, input=1290, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2482","layer":1},{"info":"number node, value=1061","layer":2},{"info":"number node, value=3673","layer":2},{"info":"compute binary expreesion, left_input=1061, right_input=3673, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5275","layer":1},{"info":"compute binary expreesion, left_input=2482, right_input=5275, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3522⇋≉)⫥∨⫟≴∭⊉3044⊨≴∭⊉13465=NaN","reverse_text":"NaN=(≴∭⊉3522⇋≉)⫥∨⫟≴∭⊉3044⊨≴∭⊉13465","cot":[{"info":"≴∭⊉3522⇋≉=≴∭⊉10144","layer":1},{"info":"≴∭⊉3044⊨≴∭⊉13465=≴∭⊉21244","layer":1},{"info":"≴∭⊉10144⫥∨⫟≴∭⊉21244=NaN","layer":0}]}
+{"id":306,"expression_no_base_symbol":"($4349$⇽⩪)⊬⨰(∓$2139$)","expression":"(≴∭⊉15452⇽⩪)⊬⨰(∓≴∭⊉6144)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":4349,"base":7}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2139,"base":7}}},"used_operators":["s3Fd5m9Dh2","FonBHBYJbU","OwUj7dcsQK"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-1121120","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4349","layer":2},{"info":"compute unary expreesion, input=4349, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=9220","layer":1},{"info":"number node, value=2139","layer":2},{"info":"compute unary expreesion, input=2139, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-36957","layer":1},{"info":"compute binary expreesion, left_input=9220, right_input=-36957, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-139664","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15452⇽⩪)⊬⨰(∓≴∭⊉6144)=≴∭⊉-1121120","reverse_text":"≴∭⊉-1121120=(≴∭⊉15452⇽⩪)⊬⨰(∓≴∭⊉6144)","cot":[{"info":"≴∭⊉15452⇽⩪=≴∭⊉35611","layer":1},{"info":"∓≴∭⊉6144=≴∭⊉-212514","layer":1},{"info":"≴∭⊉35611⊬⨰≴∭⊉-212514=≴∭⊉-1121120","layer":0}]}
+{"id":307,"expression_no_base_symbol":"(⪲⇎$1675$)≭($6239$⋥≓≎$1512$)","expression":"(⪲⇎≴∭⊉4612)≭(≴∭⊉24122⋥≓≎≴∭⊉4260)","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":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1675,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6239,"base":7},"right_expr":{"type":"numeric_atoms","value":1512,"base":7}}},"used_operators":["rxpJgHHUmx","XPYlsWDdGa","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":2},{"info":"compute unary expreesion, input=1675, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3350","layer":1},{"info":"number node, value=6239","layer":2},{"info":"number node, value=1512","layer":2},{"info":"compute binary expreesion, left_input=6239, right_input=1512, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3182","layer":1},{"info":"compute binary expreesion, left_input=3350, right_input=-3182, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":7,"result_base":7,"text":"(⪲⇎≴∭⊉4612)≭(≴∭⊉24122⋥≓≎≴∭⊉4260)=NaN","reverse_text":"NaN=(⪲⇎≴∭⊉4612)≭(≴∭⊉24122⋥≓≎≴∭⊉4260)","cot":[{"info":"⪲⇎≴∭⊉4612=≴∭⊉12524","layer":1},{"info":"≴∭⊉24122⋥≓≎≴∭⊉4260=≴∭⊉-12164","layer":1},{"info":"≴∭⊉12524≭≴∭⊉-12164=NaN","layer":0}]}
+{"id":308,"expression_no_base_symbol":"$1532$⋕⪉⪜$4675$⨽$1344$⩼⇪↪$3588$","expression":"≴∭⊉4316⋕⪉⪜≴∭⊉16426⨽≴∭⊉3630⩼⇪↪≴∭⊉13314","highest_n_order":2,"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":1532,"base":7},"right_expr":{"type":"numeric_atoms","value":4675,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1344,"base":7},"right_expr":{"type":"numeric_atoms","value":3588,"base":7}}},"used_operators":["8HhzD0ZcuI","z6LnFrNh4i","ocnLzx9CaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉-313101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":2},{"info":"number node, value=4675","layer":2},{"info":"compute binary expreesion, left_input=1532, right_input=4675, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=1344","layer":2},{"info":"number node, value=3588","layer":2},{"info":"compute binary expreesion, left_input=1344, right_input=3588, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23211","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=-23211, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53901","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4316⋕⪉⪜≴∭⊉16426⨽≴∭⊉3630⩼⇪↪≴∭⊉13314=≴∭⊉-313101","reverse_text":"≴∭⊉-313101=≴∭⊉4316⋕⪉⪜≴∭⊉16426⨽≴∭⊉3630⩼⇪↪≴∭⊉13314","cot":[{"info":"≴∭⊉4316⋕⪉⪜≴∭⊉16426=≴∭⊉411","layer":1},{"info":"≴∭⊉3630⩼⇪↪≴∭⊉13314=≴∭⊉-124446","layer":1},{"info":"≴∭⊉411⨽≴∭⊉-124446=≴∭⊉-313101","layer":0}]}
+{"id":309,"expression_no_base_symbol":"$6245$⋹⋡⊁$3083$≳⇉$3475$⪛$1525$","expression":"≴∭⊉24131⋹⋡⊁≴∭⊉11663≳⇉≴∭⊉13063⪛≴∭⊉4306","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9427878,"operation_count":3,"complexity_ratio":3142626.0,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6245,"base":7},"right_expr":{"type":"numeric_atoms","value":3083,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3475,"base":7},"right_expr":{"type":"numeric_atoms","value":1525,"base":7}}},"used_operators":["V0kx6qeWkN","As8RqfVLgs","uFcxV4UQCh"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6245","layer":2},{"info":"number node, value=3083","layer":2},{"info":"compute binary expreesion, left_input=6245, right_input=3083, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3833","layer":1},{"info":"number node, value=3475","layer":2},{"info":"number node, value=1525","layer":2},{"info":"compute binary expreesion, left_input=3475, right_input=1525, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=425","layer":1},{"info":"compute binary expreesion, left_input=3833, right_input=425, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24131⋹⋡⊁≴∭⊉11663≳⇉≴∭⊉13063⪛≴∭⊉4306=NaN","reverse_text":"NaN=≴∭⊉24131⋹⋡⊁≴∭⊉11663≳⇉≴∭⊉13063⪛≴∭⊉4306","cot":[{"info":"≴∭⊉24131⋹⋡⊁≴∭⊉11663=≴∭⊉14114","layer":1},{"info":"≴∭⊉13063⪛≴∭⊉4306=≴∭⊉1145","layer":1},{"info":"≴∭⊉14114≳⇉≴∭⊉1145=NaN","layer":0}]}
+{"id":310,"expression_no_base_symbol":"$1222$≌$2958$⇗⋫","expression":"≴∭⊉3364≌≴∭⊉11424⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3090,"operation_count":2,"complexity_ratio":1545.0,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1222,"base":7},"right_expr":{"type":"numeric_atoms","value":2958,"base":7}}},"used_operators":["hpqmaQFPrd","lyWz822IDG"],"dependent_operators":["rxpJgHHUmx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"number node, value=2958","layer":2},{"info":"compute binary expreesion, left_input=1222, right_input=2958, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((��124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3364≌≴∭⊉11424⇗⋫=NaN","reverse_text":"NaN=≴∭⊉3364≌≴∭⊉11424⇗⋫","cot":[{"info":"≴∭⊉3364≌≴∭⊉11424=NaN","layer":1},{"info":"NaN⇗⋫=NaN","layer":0}]}
+{"id":311,"expression_no_base_symbol":"↥$3695$⇡⇂$4929$","expression":"↥≴∭⊉13526⇡⇂≴∭⊉20241","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24531,"operation_count":2,"complexity_ratio":12265.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3695,"base":7},"right_expr":{"type":"numeric_atoms","value":4929,"base":7}}},"used_operators":["A8NUZmVepG","UMwdvZNt44"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3695","layer":2},{"info":"number node, value=4929","layer":2},{"info":"compute binary expreesion, left_input=3695, right_input=4929, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↥≴∭⊉13526⇡⇂≴∭⊉20241=NaN","reverse_text":"NaN=↥≴∭⊉13526⇡⇂≴∭⊉20241","cot":[{"info":"≴∭⊉13526⇡⇂≴∭⊉20241=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
+{"id":312,"expression_no_base_symbol":"⋂($2137$⇗⋫)","expression":"⋂(≴∭⊉6142⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":2137,"base":7}}},"used_operators":["BUOGQAYlQx","hpqmaQFPrd"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","rxpJgHHUmx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2137","layer":2},{"info":"compute unary expreesion, input=2137, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⋂(≴∭⊉6142⇗⋫)=NaN","reverse_text":"NaN=⋂(≴∭⊉6142⇗⋫)","cot":[{"info":"≴∭⊉6142⇗⋫=NaN","layer":1},{"info":"⋂NaN=NaN","layer":0}]}
+{"id":313,"expression_no_base_symbol":"(⪁⇼$2741$)⊢","expression":"(⪁⇼≴∭⊉10664)⊢","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":2741,"base":7}}},"used_operators":["40aOVDgCDB","ZNVVrZ94lY"],"dependent_operators":["NTOWxs364D","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"≴∭⊉1142","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2741","layer":2},{"info":"compute unary expreesion, input=2741, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute unary expreesion, input=422, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=422","layer":0}],"base":7,"result_base":7,"text":"(⪁⇼≴∭⊉10664)⊢=≴∭⊉1142","reverse_text":"≴∭⊉1142=(⪁⇼≴∭⊉10664)⊢","cot":[{"info":"⪁⇼≴∭⊉10664=≴∭⊉1142","layer":1},{"info":"≴∭⊉1142⊢=≴∭⊉1142","layer":0}]}
+{"id":314,"expression_no_base_symbol":"(⪡⇡≛$1262$)↓($1491$⨌↪)","expression":"(⪡⇡≛≴∭⊉3452)↓(≴∭⊉4230⨌↪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7053,"operation_count":3,"complexity_ratio":2351.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1262,"base":7}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":1491,"base":7}}},"used_operators":["Af076pWI7l","qL4PrbW1Dq","cWQsF5MvuD"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":2},{"info":"compute unary expreesion, input=1262, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1262","layer":1},{"info":"number node, value=1491","layer":2},{"info":"compute unary expreesion, input=1491, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=-1262, right_input=-480, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(⪡⇡≛≴∭⊉3452)↓(≴∭⊉4230⨌↪)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(⪡⇡≛≴∭⊉3452)↓(≴∭⊉4230⨌↪)","cot":[{"info":"⪡⇡≛≴∭⊉3452=≴∭⊉-3452","layer":1},{"info":"≴∭⊉4230⨌↪=≴∭⊉-1254","layer":1},{"info":"≴∭⊉-3452↓≴∭⊉-1254=≴∭⊉-251","layer":0}]}
+{"id":315,"expression_no_base_symbol":"($4323$⨭⪣$2372$)⪕$1127$⪭$3901$","expression":"(≴∭⊉15414⨭⪣≴∭⊉6626)⪕≴∭⊉3200⪭≴∭⊉14242","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4323,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1127,"base":7},"right_expr":{"type":"numeric_atoms","value":3901,"base":7}}},"used_operators":["umQnsF7QlU","kn8WO9XteQ","j9kHMeSvPp"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","COABgblf1C","xUOZtlo3hN"],"result":"≴∭⊉26235","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4323","layer":2},{"info":"number node, value=2372","layer":2},{"info":"compute binary expreesion, left_input=4323, right_input=2372, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3044","layer":1},{"info":"number node, value=1127","layer":2},{"info":"number node, value=3901","layer":2},{"info":"compute binary expreesion, left_input=1127, right_input=3901, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=3044, right_input=5, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6984","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15414⨭⪣≴∭⊉6626)⪕≴∭⊉3200⪭≴∭⊉14242=≴∭⊉26235","reverse_text":"≴∭⊉26235=(≴∭⊉15414⨭⪣≴∭⊉6626)⪕≴∭⊉3200⪭≴∭⊉14242","cot":[{"info":"≴∭⊉15414⨭⪣≴∭⊉6626=≴∭⊉11606","layer":1},{"info":"≴∭⊉3200⪭≴∭⊉14242=≴∭⊉5","layer":1},{"info":"≴∭⊉11606⪕≴∭⊉5=≴∭⊉26235","layer":0}]}
+{"id":316,"expression_no_base_symbol":"$4246$∳⫺$3323$⫰⋱$4957$≝⊿$1300$","expression":"≴∭⊉15244∳⫺≴∭⊉12455⫰⋱≴∭⊉20311≝⊿≴∭⊉3535","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":77,"operation_count":3,"complexity_ratio":25.666666666666668,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4246,"base":7},"right_expr":{"type":"numeric_atoms","value":3323,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4957,"base":7},"right_expr":{"type":"numeric_atoms","value":1300,"base":7}}},"used_operators":["6o9Blt3TJ6","AzXXKTstlj","OKKcZfAt5B"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","12rbrZMWeM"],"result":"≴∭⊉33353","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4246","layer":2},{"info":"number node, value=3323","layer":2},{"info":"compute binary expreesion, left_input=4246, right_input=3323, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=4957","layer":2},{"info":"number node, value=1300","layer":2},{"info":"compute binary expreesion, left_input=4957, right_input=1300, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8090","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-8090, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥��≎b)) }', output=8417","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15244∳⫺≴∭⊉12455⫰⋱≴∭⊉20311≝⊿≴∭⊉3535=≴∭⊉33353","reverse_text":"≴∭⊉33353=≴∭⊉15244∳⫺≴∭⊉12455⫰⋱≴∭⊉20311≝⊿≴∭⊉3535","cot":[{"info":"≴∭⊉15244∳⫺≴∭⊉12455=≴∭⊉-521","layer":1},{"info":"≴∭⊉20311≝⊿≴∭⊉3535=≴∭⊉-32405","layer":1},{"info":"≴∭⊉-521⫰⋱≴∭⊉-32405=≴∭⊉33353","layer":0}]}
+{"id":317,"expression_no_base_symbol":"≅≯⇸(⇤←$2884$)","expression":"≅≯⇸(⇤←≴∭⊉11260)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2884,"base":7}}},"used_operators":["apS25hmuAe","jfAgQ2OQeM"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"≴∭⊉-243565","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2884","layer":2},{"info":"compute unary expreesion, input=2884, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-13054","layer":1},{"info":"compute unary expreesion, input=-13054, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-44539","layer":0}],"base":7,"result_base":7,"text":"≅≯⇸(⇤←≴∭⊉11260)=≴∭⊉-243565","reverse_text":"≴∭⊉-243565=≅≯⇸(⇤←≴∭⊉11260)","cot":[{"info":"⇤←≴∭⊉11260=≴∭⊉-53026","layer":1},{"info":"≅≯⇸≴∭⊉-53026=≴∭⊉-243565","layer":0}]}
+{"id":318,"expression_no_base_symbol":"($3928$≴⪞⇿$3652$)⨂≜($2407$⪄$1511$)","expression":"(≴∭⊉14311≴⪞⇿≴∭⊉13435)⨂≜(≴∭⊉10006⪄≴∭⊉4256)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26722102,"operation_count":3,"complexity_ratio":8907367.333333334,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3928,"base":7},"right_expr":{"type":"numeric_atoms","value":3652,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2407,"base":7},"right_expr":{"type":"numeric_atoms","value":1511,"base":7}}},"used_operators":["k1SHOSEABc","lvlrscuwVU","SUmda5xLS4"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3928","layer":2},{"info":"number node, value=3652","layer":2},{"info":"compute binary expreesion, left_input=3928, right_input=3652, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=26718284","layer":1},{"info":"number node, value=2407","layer":2},{"info":"number node, value=1511","layer":2},{"info":"compute binary expreesion, left_input=2407, right_input=1511, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-358369","layer":1},{"info":"compute binary expreesion, left_input=26718284, right_input=-358369, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14311≴⪞⇿≴∭⊉13435)⨂≜(≴∭⊉10006⪄≴∭⊉4256)=NaN","reverse_text":"NaN=(≴∭⊉14311≴⪞⇿≴∭⊉13435)⨂≜(≴∭⊉10006⪄≴∭⊉4256)","cot":[{"info":"≴∭⊉14311≴⪞⇿≴∭⊉13435=≴∭⊉443046605","layer":1},{"info":"≴∭⊉10006⪄≴∭⊉4256=≴∭⊉-3021544","layer":1},{"info":"≴∭⊉443046605⨂≜≴∭⊉-3021544=NaN","layer":0}]}
+{"id":319,"expression_no_base_symbol":"⨩∲⋌($1796$⫃⨇$1463$)","expression":"⨩∲⋌(≴∭⊉5144⫃⨇≴∭⊉4160)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1796,"base":7},"right_expr":{"type":"numeric_atoms","value":1463,"base":7}}},"used_operators":["aSik1wnThz","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉-22315","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1796","layer":2},{"info":"number node, value=1463","layer":2},{"info":"compute binary expreesion, left_input=1796, right_input=1463, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5884","layer":1},{"info":"compute unary expreesion, input=-5884, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5647","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌(≴∭⊉5144⫃⨇≴∭⊉4160)=≴∭⊉-22315","reverse_text":"≴∭⊉-22315=⨩∲⋌(≴∭⊉5144⫃⨇≴∭⊉4160)","cot":[{"info":"≴∭⊉5144⫃⨇≴∭⊉4160=≴∭⊉-23104","layer":1},{"info":"⨩∲⋌≴∭⊉-23104=≴∭⊉-22315","layer":0}]}
+{"id":320,"expression_no_base_symbol":"⊬↢(→⩰$4602$)","expression":"⊬↢(→⩰≴∭⊉16263)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5037,"operation_count":2,"complexity_ratio":2518.5,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4602,"base":7}}},"used_operators":["WPoGxAaPR1","o8Pngz0Tml"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4602","layer":2},{"info":"compute unary expreesion, input=4602, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊬↢(→⩰≴∭⊉16263)=NaN","reverse_text":"NaN=⊬↢(→⩰≴∭⊉16263)","cot":[{"info":"→⩰≴∭⊉16263=NaN","layer":1},{"info":"⊬↢NaN=NaN","layer":0}]}
+{"id":321,"expression_no_base_symbol":"$2545$↼⊘⨖$3437$≃$1662$⇂≾⫗$1153$","expression":"≴∭⊉10264↼⊘⨖≴∭⊉13010≃≴∭⊉4563⇂≾⫗≴∭⊉3235","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2545,"base":7},"right_expr":{"type":"numeric_atoms","value":3437,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1662,"base":7},"right_expr":{"type":"numeric_atoms","value":1153,"base":7}}},"used_operators":["YbVcJGFEVW","bPywburJMS","aBQ6xLxuTc"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≴∭⊉10524","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2545","layer":2},{"info":"number node, value=3437","layer":2},{"info":"compute binary expreesion, left_input=2545, right_input=3437, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6652","layer":1},{"info":"number node, value=1662","layer":2},{"info":"number node, value=1153","layer":2},{"info":"compute binary expreesion, left_input=1662, right_input=1153, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=6652, right_input=-676, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=2664","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10264↼⊘⨖≴∭⊉13010≃≴∭⊉4563⇂≾⫗≴∭⊉3235=≴∭⊉10524","reverse_text":"≴∭⊉10524=≴∭⊉10264↼⊘⨖≴∭⊉13010≃≴∭⊉4563⇂≾⫗≴∭⊉3235","cot":[{"info":"≴∭⊉10264↼⊘⨖≴∭⊉13010=≴∭⊉25252","layer":1},{"info":"≴∭⊉4563⇂≾⫗≴∭⊉3235=≴∭⊉-1654","layer":1},{"info":"≴∭⊉25252≃≴∭⊉-1654=≴∭⊉10524","layer":0}]}
+{"id":322,"expression_no_base_symbol":"($3557$⫢⨠$1618$)⩘($1291$⋥≓≎$7987$)","expression":"(≴∭⊉13241⫢⨠≴∭⊉4501)⩘(≴∭⊉3523⋥≓≎≴∭⊉32200)","highest_n_order":2,"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":3557,"base":7},"right_expr":{"type":"numeric_atoms","value":1618,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1291,"base":7},"right_expr":{"type":"numeric_atoms","value":7987,"base":7}}},"used_operators":["cHh1gJQ2o6","xlXykHWxX1","Qy55tPpLXF"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3557","layer":2},{"info":"number node, value=1618","layer":2},{"info":"compute binary expreesion, left_input=3557, right_input=1618, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=1291","layer":2},{"info":"number node, value=7987","layer":2},{"info":"compute binary expreesion, left_input=1291, right_input=7987, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=14716","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=14716, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13241⫢⨠≴∭⊉4501)⩘(≴∭⊉3523⋥≓≎≴∭⊉32200)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉13241⫢⨠≴∭⊉4501)⩘(≴∭⊉3523⋥≓≎≴∭⊉32200)","cot":[{"info":"≴∭⊉13241⫢⨠≴∭⊉4501=≴∭⊉316","layer":1},{"info":"≴∭⊉3523⋥≓≎≴∭⊉32200=≴∭⊉60622","layer":1},{"info":"≴∭⊉316⩘≴∭⊉60622=≴∭⊉316","layer":0}]}
+{"id":323,"expression_no_base_symbol":"$5326$⇡⇂$4892$⊋≦⊧($2826$∙⊟$6000$)","expression":"≴∭⊉21346⇡⇂≴∭⊉20156⊋≦⊧(≴∭⊉11145∙⊟≴∭⊉23331)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28729,"operation_count":3,"complexity_ratio":9576.333333333334,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5326,"base":7},"right_expr":{"type":"numeric_atoms","value":4892,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2826,"base":7},"right_expr":{"type":"numeric_atoms","value":6000,"base":7}}},"used_operators":["oRDoc9rAEX","UMwdvZNt44","SxTAKzQCrw"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5326","layer":2},{"info":"number node, value=4892","layer":2},{"info":"compute binary expreesion, left_input=5326, right_input=4892, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=2826","layer":2},{"info":"number node, value=6000","layer":2},{"info":"compute binary expreesion, left_input=2826, right_input=6000, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=46584","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=46584, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21346⇡⇂≴∭⊉20156⊋≦⊧(≴∭⊉11145∙⊟≴∭⊉23331)=NaN","reverse_text":"NaN=≴∭⊉21346⇡⇂≴∭⊉20156⊋≦⊧(≴∭⊉11145∙⊟≴∭⊉23331)","cot":[{"info":"≴∭⊉21346⇡⇂≴∭⊉20156=NaN","layer":1},{"info":"≴∭⊉11145∙⊟≴∭⊉23331=≴∭⊉252546","layer":1},{"info":"NaN⊋≦⊧≴∭⊉252546=NaN","layer":0}]}
+{"id":324,"expression_no_base_symbol":"≸$4889$⨂≜$3464$","expression":"≸≴∭⊉20153⨂≜≴∭⊉13046","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4976,"operation_count":2,"complexity_ratio":2488.0,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4889,"base":7},"right_expr":{"type":"numeric_atoms","value":3464,"base":7}}},"used_operators":["eOf03JbCpp","k1SHOSEABc"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4889","layer":2},{"info":"number node, value=3464","layer":2},{"info":"compute binary expreesion, left_input=4889, right_input=3464, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≸≴∭⊉20153⨂≜≴∭⊉13046=NaN","reverse_text":"NaN=≸≴∭⊉20153⨂≜≴∭⊉13046","cot":[{"info":"≴∭⊉20153⨂≜≴∭⊉13046=NaN","layer":1},{"info":"≸NaN=NaN","layer":0}]}
+{"id":325,"expression_no_base_symbol":"(⋗⩬⋾$1656$)⊉↱≁($3577$∝$1043$)","expression":"(⋗⩬⋾≴∭⊉4554)⊉↱≁(≴∭⊉13300∝≴∭⊉3020)","highest_n_order":1,"priority_hierarchical_complexity":2,"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":1656,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3577,"base":7},"right_expr":{"type":"numeric_atoms","value":1043,"base":7}}},"used_operators":["w2P8NbNXyL","DpFCA1CohY","cTDWOvIxvz"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉-420514","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":2},{"info":"compute unary expreesion, input=1656, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4968","layer":1},{"info":"number node, value=3577","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=3577, right_input=1043, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3582","layer":1},{"info":"compute binary expreesion, left_input=-4968, right_input=3582, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-72286","layer":0}],"base":7,"result_base":7,"text":"(⋗⩬⋾≴∭⊉4554)⊉↱≁(≴∭⊉13300∝≴∭⊉3020)=≴∭⊉-420514","reverse_text":"≴∭⊉-420514=(⋗⩬⋾≴∭⊉4554)⊉↱≁(≴∭⊉13300∝≴∭⊉3020)","cot":[{"info":"⋗⩬⋾≴∭⊉4554=≴∭⊉-20325","layer":1},{"info":"≴∭⊉13300∝≴∭⊉3020=≴∭⊉13305","layer":1},{"info":"≴∭⊉-20325⊉↱≁≴∭⊉13305=≴∭⊉-420514","layer":0}]}
+{"id":326,"expression_no_base_symbol":"(⫛⫱⨽$1536$)↹⊜(⨈⪑$3961$)","expression":"(⫛⫱⨽≴∭⊉4323)↹⊜(⨈⪑≴∭⊉14356)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1524,"operation_count":3,"complexity_ratio":508.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1536,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":3961,"base":7}}},"used_operators":["9bazX3JMtO","DlLNRPXxWL","mp94q5OcYM"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"≴∭⊉-26345","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":2},{"info":"compute unary expreesion, input=1536, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3961","layer":2},{"info":"compute unary expreesion, input=3961, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7040","layer":0}],"base":7,"result_base":7,"text":"(⫛⫱⨽≴∭⊉4323)↹⊜(⨈⪑≴∭⊉14356)=≴∭⊉-26345","reverse_text":"≴∭⊉-26345=(⫛⫱⨽≴∭⊉4323)↹⊜(⨈⪑≴∭⊉14356)","cot":[{"info":"⫛⫱⨽≴∭⊉4323=≴∭⊉0","layer":1},{"info":"⨈⪑≴∭⊉14356=≴∭⊉2350","layer":1},{"info":"≴∭⊉0↹⊜≴∭⊉2350=≴∭⊉-26345","layer":0}]}
+{"id":327,"expression_no_base_symbol":"($1809$⊍)∠⫱($3366$⩹$1718$)","expression":"(≴∭⊉5163⊍)∠⫱(≴∭⊉12546⩹≴∭⊉5003)","highest_n_order":1,"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":1809,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3366,"base":7},"right_expr":{"type":"numeric_atoms","value":1718,"base":7}}},"used_operators":["QvoQhV0rrE","3nqY3DE9mg","2Wsdkap16l"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":2},{"info":"compute unary expreesion, input=1809, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3747","layer":1},{"info":"number node, value=3366","layer":2},{"info":"number node, value=1718","layer":2},{"info":"compute binary expreesion, left_input=3366, right_input=1718, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1716","layer":1},{"info":"compute binary expreesion, left_input=3747, right_input=1716, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5163⊍)∠⫱(≴∭⊉12546⩹≴∭⊉5003)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉5163⊍)∠⫱(≴∭⊉12546⩹≴∭⊉5003)","cot":[{"info":"≴∭⊉5163⊍=≴∭⊉13632","layer":1},{"info":"≴∭⊉12546⩹≴∭⊉5003=≴∭⊉5001","layer":1},{"info":"≴∭⊉13632∠⫱≴∭⊉5001=≴∭⊉3412","layer":0}]}
+{"id":328,"expression_no_base_symbol":"($4879$⇄$1726$)≎⪠(⊽$3810$)","expression":"(≴∭⊉20140⇄≴∭⊉5014)≎⪠(⊽≴∭⊉14052)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19119,"operation_count":3,"complexity_ratio":6373.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4879,"base":7},"right_expr":{"type":"numeric_atoms","value":1726,"base":7}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3810,"base":7}}},"used_operators":["aNhz54LH3e","3EYGwJThht","QxG7OkqoLX"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4879","layer":2},{"info":"number node, value=1726","layer":2},{"info":"compute binary expreesion, left_input=4879, right_input=1726, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=3810","layer":2},{"info":"compute unary expreesion, input=3810, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9142","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9142, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20140⇄≴∭⊉5014)≎⪠(⊽≴∭⊉14052)=≴∭⊉111010","reverse_text":"≴∭⊉111010=(≴∭⊉20140⇄≴∭⊉5014)≎⪠(⊽≴∭⊉14052)","cot":[{"info":"≴∭⊉20140⇄≴∭⊉5014=≴∭⊉0","layer":1},{"info":"⊽≴∭⊉14052=≴∭⊉35440","layer":1},{"info":"≴∭⊉0≎⪠≴∭⊉35440=≴∭⊉111010","layer":0}]}
+{"id":329,"expression_no_base_symbol":"($5114$∇⊂⋱$1348$)≴⪞⇿($2599$⨔≚≋$2423$)","expression":"(≴∭⊉20624∇⊂⋱≴∭⊉3634)≴⪞⇿(≴∭⊉10402⨔≚≋≴∭⊉10031)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9507,"operation_count":3,"complexity_ratio":3169.0,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5114,"base":7},"right_expr":{"type":"numeric_atoms","value":1348,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2599,"base":7},"right_expr":{"type":"numeric_atoms","value":2423,"base":7}}},"used_operators":["lvlrscuwVU","nhYeJWJD5X","Z57zeUYC9z"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉4246655255","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5114","layer":2},{"info":"number node, value=1348","layer":2},{"info":"compute binary expreesion, left_input=5114, right_input=1348, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9682","layer":1},{"info":"number node, value=2599","layer":2},{"info":"number node, value=2423","layer":2},{"info":"compute binary expreesion, left_input=2599, right_input=2423, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=9682, right_input=9872, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=177058796","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20624∇⊂⋱≴∭⊉3634)≴⪞⇿(≴∭⊉10402⨔≚≋≴∭⊉10031)=≴∭⊉4246655255","reverse_text":"≴∭⊉4246655255=(≴∭⊉20624∇⊂⋱≴∭⊉3634)≴⪞⇿(≴∭⊉10402⨔≚≋≴∭⊉10031)","cot":[{"info":"≴∭⊉20624∇⊂⋱≴∭⊉3634=≴∭⊉40141","layer":1},{"info":"≴∭⊉10402⨔≚≋≴∭⊉10031=≴∭⊉40532","layer":1},{"info":"≴∭⊉40141≴⪞⇿≴∭⊉40532=≴∭⊉4246655255","layer":0}]}
+{"id":330,"expression_no_base_symbol":"($7268$↡⊰⫅$2455$)⋅⇍$2043$⊹∫⫚$1840$","expression":"(≴∭⊉30122↡⊰⫅≴∭⊉10105)⋅⇍≴∭⊉5646⊹∫⫚≴∭⊉5236","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34415,"operation_count":3,"complexity_ratio":11471.666666666666,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7268,"base":7},"right_expr":{"type":"numeric_atoms","value":2455,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2043,"base":7},"right_expr":{"type":"numeric_atoms","value":1840,"base":7}}},"used_operators":["AdZkA7nFnk","VCtxkLNOzz","uWAJUKEvyW"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7268","layer":2},{"info":"number node, value=2455","layer":2},{"info":"compute binary expreesion, left_input=7268, right_input=2455, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4910","layer":1},{"info":"number node, value=2043","layer":2},{"info":"number node, value=1840","layer":2},{"info":"compute binary expreesion, left_input=2043, right_input=1840, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-164","layer":1},{"info":"compute binary expreesion, left_input=4910, right_input=-164, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉30122↡⊰⫅≴∭⊉10105)⋅⇍≴∭⊉5646⊹∫⫚≴∭⊉5236=≴∭⊉-31","reverse_text":"≴∭⊉-31=(≴∭⊉30122↡⊰⫅≴∭⊉10105)⋅⇍≴∭⊉5646⊹∫⫚≴∭⊉5236","cot":[{"info":"≴∭⊉30122↡⊰⫅≴∭⊉10105=≴∭⊉20213","layer":1},{"info":"≴∭⊉5646⊹∫⫚≴∭⊉5236=≴∭⊉-323","layer":1},{"info":"≴∭⊉20213⋅⇍≴∭⊉-323=≴∭⊉-31","layer":0}]}
+{"id":331,"expression_no_base_symbol":"($1188$⩺⪪$3469$)↹⊜$1195$⇻⋧≁$1720$","expression":"(≴∭⊉3315⩺⪪≴∭⊉13054)↹⊜≴∭⊉3325⇻⋧≁≴∭⊉5005","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1370,"operation_count":3,"complexity_ratio":456.6666666666667,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1188,"base":7},"right_expr":{"type":"numeric_atoms","value":3469,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1195,"base":7},"right_expr":{"type":"numeric_atoms","value":1720,"base":7}}},"used_operators":["9bazX3JMtO","uvdQJvN4PV","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉13101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":2},{"info":"number node, value=3469","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=3469, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=1195","layer":2},{"info":"number node, value=1720","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=1720, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-1818, right_input=-447, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3480","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3315⩺⪪≴∭⊉13054)↹⊜≴∭⊉3325⇻⋧≁≴∭⊉5005=≴∭⊉13101","reverse_text":"≴∭⊉13101=(≴∭⊉3315⩺⪪≴∭⊉13054)↹⊜≴∭⊉3325⇻⋧≁≴∭⊉5005","cot":[{"info":"≴∭⊉3315⩺⪪≴∭⊉13054=≴∭⊉-5205","layer":1},{"info":"≴∭⊉3325⇻⋧≁≴∭⊉5005=≴∭⊉-1206","layer":1},{"info":"≴∭⊉-5205↹⊜≴∭⊉-1206=≴∭⊉13101","layer":0}]}
+{"id":332,"expression_no_base_symbol":"(≸$8214$)≌(⫡⇟⇯$3824$)","expression":"(≸≴∭⊉32643)≌(⫡⇟⇯≴∭⊉14102)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8712,"operation_count":3,"complexity_ratio":2904.0,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":8214,"base":7}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3824,"base":7}}},"used_operators":["lyWz822IDG","eOf03JbCpp","qWUSsah53b"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8214","layer":2},{"info":"compute unary expreesion, input=8214, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"number node, value=3824","layer":2},{"info":"compute unary expreesion, input=3824, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8516","layer":1},{"info":"compute binary expreesion, left_input=58, right_input=8516, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≸≴∭⊉32643)≌(⫡⇟⇯≴∭⊉14102)=NaN","reverse_text":"NaN=(≸≴∭⊉32643)≌(⫡⇟⇯≴∭⊉14102)","cot":[{"info":"≸≴∭⊉32643=≴∭⊉112","layer":1},{"info":"⫡⇟⇯≴∭⊉14102=≴∭⊉33554","layer":1},{"info":"≴∭⊉112≌≴∭⊉33554=NaN","layer":0}]}
+{"id":333,"expression_no_base_symbol":"(⨩∲⋌$4186$)∌↝($1886$⨘⋶⪀)","expression":"(⨩∲⋌≴∭⊉15130)∌↝(≴∭⊉5333⨘⋶⪀)","highest_n_order":5,"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":4186,"base":7}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1886,"base":7}}},"used_operators":["9Isq31Ruls","aSik1wnThz","XVKwrhznBb"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"≴∭⊉-16505","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4186","layer":2},{"info":"compute unary expreesion, input=4186, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4709","layer":1},{"info":"number node, value=1886","layer":2},{"info":"compute unary expreesion, input=1886, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4709, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-4709","layer":0}],"base":7,"result_base":7,"text":"(⨩∲⋌≴∭⊉15130)∌↝(≴∭⊉5333⨘⋶⪀)=≴∭⊉-16505","reverse_text":"≴∭⊉-16505=(⨩∲⋌≴∭⊉15130)∌↝(≴∭⊉5333⨘⋶⪀)","cot":[{"info":"⨩∲⋌≴∭⊉15130=≴∭⊉-16505","layer":1},{"info":"≴∭⊉5333⨘⋶⪀=NaN","layer":1},{"info":"≴∭⊉-16505∌↝NaN=≴∭⊉-16505","layer":0}]}
+{"id":334,"expression_no_base_symbol":"($4772$≬⇓$4904$)≦↸($1980$⫸⊐$5432$)","expression":"(≴∭⊉16625≬⇓≴∭⊉20204)≦↸(≴∭⊉5526⫸⊐≴∭⊉21560)","highest_n_order":2,"priority_hierarchical_complexity":3,"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":4772,"base":7},"right_expr":{"type":"numeric_atoms","value":4904,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1980,"base":7},"right_expr":{"type":"numeric_atoms","value":5432,"base":7}}},"used_operators":["RygbFNSyEJ","jWTQ2TZYIH","mqXw5SEYmG"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉-234565","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4772","layer":2},{"info":"number node, value=4904","layer":2},{"info":"compute binary expreesion, left_input=4772, right_input=4904, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=1980","layer":2},{"info":"number node, value=5432","layer":2},{"info":"compute binary expreesion, left_input=1980, right_input=5432, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21603","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=21603, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-42481","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16625≬⇓≴∭⊉20204)≦↸(≴∭⊉5526⫸⊐≴∭⊉21560)=≴∭⊉-234565","reverse_text":"≴∭⊉-234565=(≴∭⊉16625≬⇓≴∭⊉20204)≦↸(≴∭⊉5526⫸⊐≴∭⊉21560)","cot":[{"info":"≴∭⊉16625≬⇓≴∭⊉20204=≴∭⊉-31","layer":1},{"info":"≴∭⊉5526⫸⊐≴∭⊉21560=≴∭⊉116661","layer":1},{"info":"≴∭⊉-31≦↸≴∭⊉116661=≴∭⊉-234565","layer":0}]}
+{"id":335,"expression_no_base_symbol":"⊽(⪸$6695$)","expression":"⊽(⪸≴∭⊉25343)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6695,"base":7}}},"used_operators":["QxG7OkqoLX","86A5ENbKR9"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6695","layer":2},{"info":"compute unary expreesion, input=6695, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-113606","layer":1},{"info":"compute unary expreesion, input=-113606, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⊽(⪸≴∭⊉25343)=≴∭⊉0","reverse_text":"≴∭⊉0=⊽(⪸≴∭⊉25343)","cot":[{"info":"⪸≴∭⊉25343=≴∭⊉-652133","layer":1},{"info":"⊽≴∭⊉-652133=≴∭⊉0","layer":0}]}
+{"id":336,"expression_no_base_symbol":"⊖∈$1338$∌↝$1752$","expression":"⊖∈≴∭⊉3621∌↝≴∭⊉5052","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1338,"base":7},"right_expr":{"type":"numeric_atoms","value":1752,"base":7}}},"used_operators":["YFxL8Sc2Zy","9Isq31Ruls"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-22211","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":2},{"info":"number node, value=1752","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=1752, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥��≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=-5594","layer":0}],"base":7,"result_base":7,"text":"⊖∈≴∭⊉3621∌↝≴∭⊉5052=≴∭⊉-22211","reverse_text":"≴∭⊉-22211=⊖∈≴∭⊉3621∌↝≴∭⊉5052","cot":[{"info":"≴∭⊉3621∌↝≴∭⊉5052=≴∭⊉0","layer":1},{"info":"⊖∈≴∭⊉0=≴∭⊉-22211","layer":0}]}
+{"id":337,"expression_no_base_symbol":"$1578$⨐$6365$≒∊$1147$⪛$6006$","expression":"≴∭⊉4413⨐≴∭⊉24362≒∊≴∭⊉3226⪛≴∭⊉23340","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":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1578,"base":7},"right_expr":{"type":"numeric_atoms","value":6365,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1147,"base":7},"right_expr":{"type":"numeric_atoms","value":6006,"base":7}}},"used_operators":["5KTvxBwnZo","Noe24qw2ks","uFcxV4UQCh"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉13420","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":2},{"info":"number node, value=6365","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=6365, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3156","layer":1},{"info":"number node, value=1147","layer":2},{"info":"number node, value=6006","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=6006, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1147","layer":1},{"info":"compute binary expreesion, left_input=-3156, right_input=1147, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=3640","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4413⨐≴∭⊉24362≒∊≴∭⊉3226⪛≴∭⊉23340=≴∭⊉13420","reverse_text":"≴∭⊉13420=≴∭⊉4413⨐≴∭⊉24362≒∊≴∭⊉3226⪛≴∭⊉23340","cot":[{"info":"≴∭⊉4413⨐≴∭⊉24362=≴∭⊉-12126","layer":1},{"info":"≴∭⊉3226⪛≴∭⊉23340=≴∭⊉3226","layer":1},{"info":"≴∭⊉-12126≒∊≴∭⊉3226=≴∭⊉13420","layer":0}]}
+{"id":338,"expression_no_base_symbol":"(≻⋜$2489$)⊋≦⊧($1692$≣⋋)","expression":"(≻⋜≴∭⊉10154)⊋≦⊧(≴∭⊉4635≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13097,"operation_count":3,"complexity_ratio":4365.666666666667,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2489,"base":7}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1692,"base":7}}},"used_operators":["oRDoc9rAEX","3tj9sqzovi","Tcnh7f0tEr"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2489","layer":2},{"info":"compute unary expreesion, input=2489, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1692","layer":2},{"info":"compute unary expreesion, input=1692, 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 = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≻⋜≴∭⊉10154)⊋≦⊧(≴∭⊉4635≣⋋)=NaN","reverse_text":"NaN=(≻⋜≴∭⊉10154)⊋≦⊧(≴∭⊉4635≣⋋)","cot":[{"info":"≻⋜≴∭⊉10154=NaN","layer":1},{"info":"≴∭⊉4635≣⋋=≴∭⊉0","layer":1},{"info":"NaN⊋≦⊧≴∭⊉0=NaN","layer":0}]}
+{"id":339,"expression_no_base_symbol":"⊬↢($1391$⪄$1021$)","expression":"⊬↢(≴∭⊉4025⪄≴∭⊉2656)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2773,"operation_count":2,"complexity_ratio":1386.5,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1391,"base":7},"right_expr":{"type":"numeric_atoms","value":1021,"base":7}}},"used_operators":["WPoGxAaPR1","SUmda5xLS4"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1391","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=1391, right_input=1021, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-206041","layer":1},{"info":"compute unary expreesion, input=-206041, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":0}],"base":7,"result_base":7,"text":"⊬↢(≴∭⊉4025⪄≴∭⊉2656)=≴∭⊉-106","reverse_text":"≴∭⊉-106=⊬↢(≴∭⊉4025⪄≴∭⊉2656)","cot":[{"info":"≴∭⊉4025⪄≴∭⊉2656=≴∭⊉-1515463","layer":1},{"info":"⊬↢≴∭⊉-1515463=≴∭⊉-106","layer":0}]}
+{"id":340,"expression_no_base_symbol":"$3138$⋥⋵⩄$7876$∴≳≥","expression":"≴∭⊉12102⋥⋵⩄≴∭⊉31651∴≳≥","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":3138,"base":7},"right_expr":{"type":"numeric_atoms","value":7876,"base":7}}},"used_operators":["a3N2hFLK0J","7t3wd0Fuz7"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≴∭⊉1214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3138","layer":2},{"info":"number node, value=7876","layer":2},{"info":"compute binary expreesion, left_input=3138, right_input=7876, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=452","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12102⋥⋵⩄≴∭⊉31651∴≳≥=≴∭⊉1214","reverse_text":"≴∭⊉1214=≴∭⊉12102⋥⋵⩄≴∭⊉31651∴≳≥","cot":[{"info":"≴∭⊉12102⋥⋵⩄≴∭⊉31651=≴∭⊉221","layer":1},{"info":"≴∭⊉221∴≳≥=≴∭⊉1214","layer":0}]}
+{"id":341,"expression_no_base_symbol":"($1006$⪨⊡$3686$)∓⋝($5709$⩘$2175$)","expression":"(≴∭⊉2635⪨⊡≴∭⊉13514)∓⋝(≴∭⊉22434⩘≴∭⊉6225)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1006,"base":7},"right_expr":{"type":"numeric_atoms","value":3686,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5709,"base":7},"right_expr":{"type":"numeric_atoms","value":2175,"base":7}}},"used_operators":["PoHhknlbAi","kuIXHzHcAH","cHh1gJQ2o6"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉232","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=3686","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=3686, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=5709","layer":2},{"info":"number node, value=2175","layer":2},{"info":"compute binary expreesion, left_input=5709, right_input=2175, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2635⪨⊡≴∭⊉13514)∓⋝(≴∭⊉22434⩘≴∭⊉6225)=≴∭⊉232","reverse_text":"≴∭⊉232=(≴∭⊉2635⪨⊡≴∭⊉13514)∓⋝(≴∭⊉22434⩘≴∭⊉6225)","cot":[{"info":"≴∭⊉2635⪨⊡≴∭⊉13514=≴∭⊉0","layer":1},{"info":"≴���⊉22434⩘≴∭⊉6225=≴∭⊉316","layer":1},{"info":"≴∭⊉0∓⋝≴∭⊉316=≴∭⊉232","layer":0}]}
+{"id":342,"expression_no_base_symbol":"≑⋹($3648$⫒⫫$2570$)","expression":"≑⋹(≴∭⊉13431⫒⫫≴∭⊉10331)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":82,"operation_count":2,"complexity_ratio":41.0,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3648,"base":7},"right_expr":{"type":"numeric_atoms","value":2570,"base":7}}},"used_operators":["6B9nyZLogK","6Ko8hGgeMq"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3648","layer":2},{"info":"number node, value=2570","layer":2},{"info":"compute binary expreesion, left_input=3648, right_input=2570, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≑⋹(≴∭⊉13431⫒⫫≴∭⊉10331)=NaN","reverse_text":"NaN=≑⋹(≴∭⊉13431⫒⫫≴∭⊉10331)","cot":[{"info":"≴∭⊉13431⫒⫫≴∭⊉10331=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
+{"id":343,"expression_no_base_symbol":"$5462$⪥$1219$⋖∅⋲","expression":"≴∭⊉21632⪥≴∭⊉3361⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":191,"operation_count":2,"complexity_ratio":95.5,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5462,"base":7},"right_expr":{"type":"numeric_atoms","value":1219,"base":7}}},"used_operators":["L95AwlJzhO","QbnwKVWMIQ"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"≴∭⊉-3160131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5462","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=5462, right_input=1219, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=26500","layer":1},{"info":"compute unary expreesion, input=26500, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21632⪥≴∭⊉3361⋖∅⋲=≴∭⊉-3160131","reverse_text":"≴∭⊉-3160131=≴∭⊉21632⪥≴∭⊉3361⋖∅⋲","cot":[{"info":"≴∭⊉21632⪥≴∭⊉3361=≴∭⊉140155","layer":1},{"info":"≴∭⊉140155⋖∅⋲=≴∭⊉-3160131","layer":0}]}
+{"id":344,"expression_no_base_symbol":"(≻⋜$2404$)⇽⩪","expression":"(≻⋜≴∭⊉10003)⇽⩪","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11561,"operation_count":2,"complexity_ratio":5780.5,"tree":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2404,"base":7}}},"used_operators":["FonBHBYJbU","3tj9sqzovi"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2404","layer":2},{"info":"compute unary expreesion, input=2404, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≻⋜≴∭⊉10003)⇽⩪=NaN","reverse_text":"NaN=(≻⋜≴∭⊉10003)⇽⩪","cot":[{"info":"≻⋜≴∭⊉10003=NaN","layer":1},{"info":"NaN⇽⩪=NaN","layer":0}]}
+{"id":345,"expression_no_base_symbol":"($4116$⨪↰⇹$3799$)⫁⪎(⩦⩻⨪$1190$)","expression":"(≴∭⊉15000⨪↰⇹≴∭⊉14035)⫁⪎(⩦⩻⨪≴∭⊉3320)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4128,"operation_count":3,"complexity_ratio":1376.0,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4116,"base":7},"right_expr":{"type":"numeric_atoms","value":3799,"base":7}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1190,"base":7}}},"used_operators":["xRrnTEsQ6j","tmPS8pqC7x","2td37pGCOC"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉11350","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4116","layer":2},{"info":"number node, value=3799","layer":2},{"info":"compute binary expreesion, left_input=4116, right_input=3799, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4116","layer":1},{"info":"number node, value=1190","layer":2},{"info":"compute unary expreesion, input=1190, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1190","layer":1},{"info":"compute binary expreesion, left_input=4116, right_input=1190, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2926","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15000⨪↰⇹≴∭⊉14035)⫁⪎(⩦⩻⨪≴∭⊉3320)=≴∭⊉11350","reverse_text":"≴∭⊉11350=(≴∭⊉15000⨪↰⇹≴∭⊉14035)⫁⪎(⩦⩻⨪≴∭⊉3320)","cot":[{"info":"≴∭⊉15000⨪↰⇹≴∭⊉14035=≴∭⊉15000","layer":1},{"info":"⩦⩻⨪≴∭⊉3320=≴∭⊉3320","layer":1},{"info":"≴∭⊉15000⫁⪎≴∭⊉3320=≴∭⊉11350","layer":0}]}
+{"id":346,"expression_no_base_symbol":"($1173$+⇶⊼$2030$)∌↝$4536$⪪$2182$","expression":"(≴∭⊉3264+⇶⊼≴∭⊉5630)∌↝≴∭⊉16140⪪≴∭⊉6235","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13755,"operation_count":3,"complexity_ratio":4585.0,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1173,"base":7},"right_expr":{"type":"numeric_atoms","value":2030,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4536,"base":7},"right_expr":{"type":"numeric_atoms","value":2182,"base":7}}},"used_operators":["9Isq31Ruls","TpPTUOHfaN","xD69zh8xqp"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=2030","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=2030, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4536","layer":2},{"info":"number node, value=2182","layer":2},{"info":"compute binary expreesion, left_input=4536, right_input=2182, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-681025","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-681025, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3264+⇶⊼≴∭⊉5630)∌↝≴∭⊉16140⪪≴∭⊉6235=NaN","reverse_text":"NaN=(≴∭⊉3264+⇶⊼≴∭⊉5630)∌↝≴∭⊉16140⪪≴∭⊉6235","cot":[{"info":"≴∭⊉3264+⇶⊼≴∭⊉5630=NaN","layer":1},{"info":"≴∭⊉16140⪪≴∭⊉6235=≴∭⊉-5534332","layer":1},{"info":"NaN∌↝≴∭⊉-5534332=NaN","layer":0}]}
+{"id":347,"expression_no_base_symbol":"$1860$⨐$1362$⨼⩣($1523$⫍⨯↯)","expression":"≴∭⊉5265⨐≴∭⊉3654⨼⩣(≴∭⊉4304⫍⨯↯)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":388,"operation_count":3,"complexity_ratio":129.33333333333334,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1860,"base":7},"right_expr":{"type":"numeric_atoms","value":1362,"base":7}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1523,"base":7}}},"used_operators":["JxwMv5le6e","Noe24qw2ks","ZcwmYACASQ"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1860","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=1860, right_input=1362, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3720","layer":1},{"info":"number node, value=1523","layer":2},{"info":"compute unary expreesion, input=1523, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1490","layer":1},{"info":"compute binary expreesion, left_input=-3720, right_input=1490, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5265⨐≴∭⊉3654⨼⩣(≴∭⊉4304⫍⨯↯)=NaN","reverse_text":"NaN=≴∭⊉5265⨐≴∭⊉3654⨼⩣(≴∭⊉4304⫍⨯↯)","cot":[{"info":"≴∭⊉5265⨐≴∭⊉3654=≴∭⊉-13563","layer":1},{"info":"≴∭⊉4304⫍⨯↯=≴∭⊉4226","layer":1},{"info":"≴∭⊉-13563⨼⩣≴∭⊉4226=NaN","layer":0}]}
+{"id":348,"expression_no_base_symbol":"$1048$⨑⩅≇$4531$⪭($5820$⇪⋭)","expression":"≴∭⊉3025⨑⩅≇≴∭⊉16132⪭(≴∭⊉22653⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4606,"operation_count":3,"complexity_ratio":1535.3333333333333,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1048,"base":7},"right_expr":{"type":"numeric_atoms","value":4531,"base":7}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":5820,"base":7}}},"used_operators":["j9kHMeSvPp","h92wMvzauj","Z8Yg6dlDSp"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"≴∭⊉11442","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":2},{"info":"number node, value=4531","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=4531, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3144","layer":1},{"info":"number node, value=5820","layer":2},{"info":"compute unary expreesion, input=5820, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3144, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2970","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3025⨑⩅≇≴∭⊉16132⪭(≴∭⊉22653⇪⋭)=≴∭⊉11442","reverse_text":"≴∭⊉11442=≴∭⊉3025⨑⩅≇≴∭⊉16132⪭(≴∭⊉22653⇪⋭)","cot":[{"info":"≴∭⊉3025⨑⩅≇≴∭⊉16132=≴∭⊉-12111","layer":1},{"info":"≴∭⊉22653⇪⋭=NaN","layer":1},{"info":"≴∭⊉-12111⪭NaN=≴∭⊉11442","layer":0}]}
+{"id":349,"expression_no_base_symbol":"($2475$∟)⪃⊛⇣($1768$≄⊠$1972$)","expression":"(≴∭⊉10134∟)⪃⊛⇣(≴∭⊉5104≄⊠≴∭⊉5515)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13453,"operation_count":3,"complexity_ratio":4484.333333333333,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2475,"base":7}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1768,"base":7},"right_expr":{"type":"numeric_atoms","value":1972,"base":7}}},"used_operators":["rrgAzCduG9","hTbEZDJLEm","vXNesLlMH1"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":2},{"info":"compute unary expreesion, input=2475, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"number node, value=1768","layer":2},{"info":"number node, value=1972","layer":2},{"info":"compute binary expreesion, left_input=1768, right_input=1972, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=36220","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=36220, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10134∟)⪃⊛⇣(≴∭⊉5104≄⊠≴∭⊉5515)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉10134∟)⪃⊛⇣(≴∭⊉5104≄⊠≴∭⊉5515)","cot":[{"info":"≴∭⊉10134∟=≴∭⊉221","layer":1},{"info":"≴∭⊉5104≄⊠≴∭⊉5515=≴∭⊉210412","layer":1},{"info":"≴∭⊉221⪃⊛⇣≴∭⊉210412=≴∭⊉3412","layer":0}]}
+{"id":350,"expression_no_base_symbol":"⨈⫕($2379$≋⫹)","expression":"⨈⫕(≴∭⊉6636≋⫹)","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":2379,"base":7}}},"used_operators":["megm06wKyl","N41Kp7NANJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-30","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2379","layer":2},{"info":"compute unary expreesion, input=2379, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4758","layer":1},{"info":"compute unary expreesion, input=-4758, 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":7,"result_base":7,"text":"⨈⫕(≴∭⊉6636≋⫹)=≴∭⊉-30","reverse_text":"≴∭⊉-30=⨈⫕(≴∭⊉6636≋⫹)","cot":[{"info":"≴∭⊉6636≋⫹=≴∭⊉-16605","layer":1},{"info":"⨈⫕≴∭⊉-16605=≴∭⊉-30","layer":0}]}
+{"id":351,"expression_no_base_symbol":"≱⇩⩕$3521$⩌⋺$1148$","expression":"≱⇩⩕≴∭⊉13160⩌⋺≴∭⊉3230","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3521,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}}},"used_operators":["3DZMoQKiUl","g7Hmc5v1ko"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉201351","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3521","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=3521, right_input=1148, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4790","layer":1},{"info":"compute unary expreesion, input=-4790, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=34140","layer":0}],"base":7,"result_base":7,"text":"≱⇩⩕≴∭⊉13160⩌⋺≴∭⊉3230=≴∭⊉201351","reverse_text":"≴∭⊉201351=≱⇩⩕≴∭⊉13160⩌⋺≴∭⊉3230","cot":[{"info":"≴∭⊉13160⩌⋺≴∭⊉3230=≴∭⊉-16652","layer":1},{"info":"≱⇩⩕≴∭⊉-16652=≴∭⊉201351","layer":0}]}
+{"id":352,"expression_no_base_symbol":"⫯($1435$⩧⪆$2767$)","expression":"⫯(≴∭⊉4120⩧⪆≴∭⊉11032)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":2,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1435,"base":7},"right_expr":{"type":"numeric_atoms","value":2767,"base":7}}},"used_operators":["H6BK1Evt7c","Ikt5ks8PT7"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉505264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":2},{"info":"number node, value=2767","layer":2},{"info":"compute binary expreesion, left_input=1435, right_input=2767, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2767","layer":1},{"info":"compute unary expreesion, input=-2767, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=85894","layer":0}],"base":7,"result_base":7,"text":"⫯(≴∭⊉4120⩧⪆≴∭⊉11032)=≴∭⊉505264","reverse_text":"≴∭⊉505264=⫯(≴∭⊉4120⩧⪆≴∭⊉11032)","cot":[{"info":"≴∭⊉4120⩧⪆≴∭⊉11032=≴∭⊉-11032","layer":1},{"info":"⫯≴∭⊉-11032=≴∭⊉505264","layer":0}]}
+{"id":353,"expression_no_base_symbol":"($1297$⊨$6372$)⇽⩪","expression":"(≴∭⊉3532⊨≴∭⊉24402)⇽⩪","highest_n_order":1,"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":1297,"base":7},"right_expr":{"type":"numeric_atoms","value":6372,"base":7}}},"used_operators":["FonBHBYJbU","vg4gO5BX6G"],"dependent_operators":["W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉52533","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1297","layer":2},{"info":"number node, value=6372","layer":2},{"info":"compute binary expreesion, left_input=1297, right_input=6372, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6219","layer":1},{"info":"compute unary expreesion, input=6219, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=12960","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3532⊨≴∭⊉24402)⇽⩪=≴∭⊉52533","reverse_text":"≴∭⊉52533=(≴∭⊉3532⊨≴∭⊉24402)⇽⩪","cot":[{"info":"≴∭⊉3532⊨≴∭⊉24402=≴∭⊉24063","layer":1},{"info":"≴∭⊉24063⇽⩪=≴∭⊉52533","layer":0}]}
+{"id":354,"expression_no_base_symbol":"(⊗$1863$)⪶≀⋏(⊈$1013$)","expression":"(⊗≴∭⊉5301)⪶≀⋏(⊈≴∭⊉2645)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1863,"base":7}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1013,"base":7}}},"used_operators":["zR4jO40bMj","RhiyfpczSx","RHru8klgy8"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","12rbrZMWeM","xUOZtlo3hN"],"result":"≴∭⊉-36454","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1863","layer":2},{"info":"compute unary expreesion, input=1863, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3726","layer":1},{"info":"number node, value=1013","layer":2},{"info":"compute unary expreesion, input=1013, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1187","layer":1},{"info":"compute binary expreesion, left_input=-3726, right_input=-1187, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9496","layer":0}],"base":7,"result_base":7,"text":"(⊗≴∭⊉5301)⪶≀⋏(⊈≴∭⊉2645)=≴∭⊉-36454","reverse_text":"≴∭⊉-36454=(⊗≴∭⊉5301)⪶≀⋏(⊈≴∭⊉2645)","cot":[{"info":"⊗≴∭⊉5301=≴∭⊉-13602","layer":1},{"info":"⊈≴∭⊉2645=≴∭⊉-3314","layer":1},{"info":"≴∭⊉-13602⪶≀⋏≴∭⊉-3314=≴∭⊉-36454","layer":0}]}
+{"id":355,"expression_no_base_symbol":"($1306$≣⋋)∌($1833$≚⊃≕$1071$)","expression":"(≴∭⊉3544≣⋋)∌(≴∭⊉5226≚⊃≕≴∭⊉3060)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":534,"operation_count":3,"complexity_ratio":178.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1306,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1833,"base":7},"right_expr":{"type":"numeric_atoms","value":1071,"base":7}}},"used_operators":["8cLx32lpNA","Tcnh7f0tEr","Bmrmz2XGnR"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":2},{"info":"compute unary expreesion, input=1306, 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=1833","layer":2},{"info":"number node, value=1071","layer":2},{"info":"compute binary expreesion, left_input=1833, right_input=1071, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3544≣⋋)∌(≴∭⊉5226≚⊃≕≴∭⊉3060)=≴∭⊉-124","reverse_text":"≴∭⊉-124=(≴∭⊉3544≣⋋)∌(≴∭⊉5226≚⊃≕≴∭⊉3060)","cot":[{"info":"≴∭⊉3544≣⋋=≴∭⊉0","layer":1},{"info":"≴∭⊉5226≚⊃≕≴∭⊉3060=≴∭⊉124","layer":1},{"info":"≴∭⊉0∌≴∭⊉124=≴∭⊉-124","layer":0}]}
+{"id":356,"expression_no_base_symbol":"(⨙⪌$3767$)⨸($1856$⇣⩺⋵$1362$)","expression":"(⨙⪌≴∭⊉13661)⨸(≴∭⊉5261⇣⩺⋵≴∭⊉3654)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1947,"operation_count":3,"complexity_ratio":649.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3767,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1856,"base":7},"right_expr":{"type":"numeric_atoms","value":1362,"base":7}}},"used_operators":["KmoU8R5UQR","vEGLkm4Z2k","F4yD0voBRQ"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"≴∭⊉5030","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3767","layer":2},{"info":"compute unary expreesion, input=3767, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=1856","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=1856, right_input=1362, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-260, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1736","layer":0}],"base":7,"result_base":7,"text":"(⨙⪌≴∭⊉13661)⨸(≴∭⊉5261⇣⩺⋵≴∭⊉3654)=≴∭⊉5030","reverse_text":"≴∭⊉5030=(⨙⪌≴∭⊉13661)⨸(≴∭⊉5261⇣⩺⋵≴∭⊉3654)","cot":[{"info":"⨙⪌≴∭⊉13661=≴∭⊉2350","layer":1},{"info":"≴∭⊉5261⇣⩺⋵≴∭⊉3654=≴∭⊉-521","layer":1},{"info":"≴∭⊉2350⨸≴∭⊉-521=≴∭⊉5030","layer":0}]}
+{"id":357,"expression_no_base_symbol":"$4313$≁$3161$⫉⨲⊜($2389$∼$6017$)","expression":"≴∭⊉15401≁≴∭⊉12134⫉⨲⊜(≴∭⊉6652∼≴∭⊉23354)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":150,"operation_count":3,"complexity_ratio":50.0,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4313,"base":7},"right_expr":{"type":"numeric_atoms","value":3161,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2389,"base":7},"right_expr":{"type":"numeric_atoms","value":6017,"base":7}}},"used_operators":["WhqkvtTD3t","8N2wDY1A35","DyGG3AbaNP"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4313","layer":2},{"info":"number node, value=3161","layer":2},{"info":"compute binary expreesion, left_input=4313, right_input=3161, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=62663","layer":1},{"info":"number node, value=2389","layer":2},{"info":"number node, value=6017","layer":2},{"info":"compute binary expreesion, left_input=2389, right_input=6017, 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=62663, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15401≁≴∭⊉12134⫉⨲⊜(≴∭⊉6652∼≴∭⊉23354)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉15401≁≴∭⊉12134⫉⨲⊜(≴∭⊉6652∼≴∭⊉23354)","cot":[{"info":"≴∭⊉15401≁≴∭⊉12134=≴∭⊉350456","layer":1},{"info":"≴∭⊉6652∼≴∭⊉23354=NaN","layer":1},{"info":"≴∭⊉350456⫉⨲⊜NaN=≴∭⊉0","layer":0}]}
+{"id":358,"expression_no_base_symbol":"⪫⨮⊛($1442$⊱⇼⊻$4200$)","expression":"⪫⨮⊛(≴∭⊉4130⊱⇼⊻≴∭⊉15150)","highest_n_order":3,"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":1442,"base":7},"right_expr":{"type":"numeric_atoms","value":4200,"base":7}}},"used_operators":["w5FWba1tyO","FyVja0WsTP"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉1160","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1442","layer":2},{"info":"number node, value=4200","layer":2},{"info":"compute binary expreesion, left_input=1442, right_input=4200, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute unary expreesion, input=434, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=434","layer":0}],"base":7,"result_base":7,"text":"⪫⨮⊛(≴∭⊉4130⊱⇼⊻≴∭⊉15150)=≴∭⊉1160","reverse_text":"≴∭⊉1160=⪫⨮⊛(≴∭⊉4130⊱⇼⊻≴∭⊉15150)","cot":[{"info":"≴∭⊉4130⊱⇼⊻≴∭⊉15150=≴∭⊉1160","layer":1},{"info":"⪫⨮⊛≴∭⊉1160=≴∭⊉1160","layer":0}]}
+{"id":359,"expression_no_base_symbol":"($2120$⊾⪯⋞$1051$)⊪","expression":"(≴∭⊉6116⊾⪯⋞≴∭⊉3031)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90,"operation_count":2,"complexity_ratio":45.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2120,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"used_operators":["zVYPLywUTj","HK0tfVPux8"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2120","layer":2},{"info":"number node, value=1051","layer":2},{"info":"compute binary expreesion, left_input=2120, right_input=1051, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1676","layer":1},{"info":"compute unary expreesion, input=1676, 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":7,"result_base":7,"text":"(≴∭⊉6116⊾⪯⋞≴∭⊉3031)⊪=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉6116⊾⪯⋞≴∭⊉3031)⊪","cot":[{"info":"≴∭⊉6116⊾⪯⋞≴∭⊉3031=≴∭⊉4613","layer":1},{"info":"≴∭⊉4613⊪=≴∭⊉0","layer":0}]}
+{"id":360,"expression_no_base_symbol":"$7552$⫘$5293$⨒($2767$⨀⨒)","expression":"≴∭⊉31006⫘≴∭⊉21301⨒(≴∭⊉11032⨀⨒)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7836,"operation_count":3,"complexity_ratio":2612.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":7552,"base":7},"right_expr":{"type":"numeric_atoms","value":5293,"base":7}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2767,"base":7}}},"used_operators":["y75s1iXyHd","48vC8HMD2b","j6NVkjMzuk"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"≴∭⊉-1215103254","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7552","layer":2},{"info":"number node, value=5293","layer":2},{"info":"compute binary expreesion, left_input=7552, right_input=5293, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8885557","layer":1},{"info":"number node, value=2767","layer":2},{"info":"compute unary expreesion, input=2767, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=35470","layer":1},{"info":"compute binary expreesion, left_input=8885557, right_input=35470, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-53312970","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉31006⫘≴∭⊉21301⨒(≴∭⊉11032⨀⨒)=≴∭⊉-1215103254","reverse_text":"≴∭⊉-1215103254=≴∭⊉31006⫘≴∭⊉21301⨒(≴∭⊉11032⨀⨒)","cot":[{"info":"≴∭⊉31006⫘≴∭⊉21301=≴∭⊉135345262","layer":1},{"info":"≴∭⊉11032⨀⨒=≴∭⊉205261","layer":1},{"info":"≴∭⊉135345262⨒≴∭⊉205261=≴∭⊉-1215103254","layer":0}]}
+{"id":361,"expression_no_base_symbol":"$2048$⪃⊛⇣$1126$↹⊜$1483$⫁$4648$","expression":"≴∭⊉5654⪃⊛⇣≴∭⊉3166↹⊜≴∭⊉4216⫁≴∭⊉16360","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":691,"operation_count":3,"complexity_ratio":230.33333333333334,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2048,"base":7},"right_expr":{"type":"numeric_atoms","value":1126,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1483,"base":7},"right_expr":{"type":"numeric_atoms","value":4648,"base":7}}},"used_operators":["9bazX3JMtO","rrgAzCduG9","0ajvFaJAv0"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≴∭⊉5023","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2048","layer":2},{"info":"number node, value=1126","layer":2},{"info":"compute binary expreesion, left_input=2048, right_input=1126, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1483","layer":2},{"info":"number node, value=4648","layer":2},{"info":"compute binary expreesion, left_input=1483, right_input=4648, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1732","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5654⪃⊛⇣≴∭⊉3166↹⊜≴∭⊉4216⫁≴∭⊉16360=≴∭⊉5023","reverse_text":"≴∭⊉5023=≴∭⊉5654⪃⊛⇣≴∭⊉3166↹⊜≴∭⊉4216⫁≴∭⊉16360","cot":[{"info":"≴∭⊉5654⪃⊛⇣≴∭⊉3166=≴∭⊉3412","layer":1},{"info":"≴∭⊉4216⫁≴∭⊉16360=≴∭⊉316","layer":1},{"info":"≴∭⊉3412↹⊜≴∭⊉316=≴∭⊉5023","layer":0}]}
+{"id":362,"expression_no_base_symbol":"$5979$⊮⊟↴$1285$≹⇙⪍(∨∊⋏$4295$)","expression":"≴∭⊉23301⊮⊟↴≴∭⊉3514≹⇙⪍(∨∊⋏≴∭⊉15344)","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":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5979,"base":7},"right_expr":{"type":"numeric_atoms","value":1285,"base":7}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4295,"base":7}}},"used_operators":["AHs5Up7iyr","QDVgd2eftb","R5aXW34M0v"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5979","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=5979, right_input=1285, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=4295","layer":2},{"info":"compute unary expreesion, input=4295, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=89879","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=89879, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":7,"result_base":7,"text":"≴∭⊉23301⊮⊟↴≴∭⊉3514≹⇙⪍(∨∊⋏≴∭⊉15344)=NaN","reverse_text":"NaN=≴∭⊉23301⊮⊟↴≴∭⊉3514≹⇙⪍(∨∊⋏≴∭⊉15344)","cot":[{"info":"≴∭⊉23301⊮⊟↴≴∭⊉3514=≴∭⊉0","layer":1},{"info":"∨∊⋏≴∭⊉15344=≴∭⊉523016","layer":1},{"info":"≴∭⊉0≹⇙⪍≴∭⊉523016=NaN","layer":0}]}
+{"id":363,"expression_no_base_symbol":"(⪲⇎$1470$)⊍⩺⋍$3892$↢$9331$","expression":"(⪲⇎≴∭⊉4200)⊍⩺⋍≴∭⊉14230↢≴∭⊉36130","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":221,"operation_count":3,"complexity_ratio":73.66666666666667,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1470,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3892,"base":7},"right_expr":{"type":"numeric_atoms","value":9331,"base":7}}},"used_operators":["OXDGMFPWZM","XPYlsWDdGa","WR6HLWljOP"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1470","layer":2},{"info":"compute unary expreesion, input=1470, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2940","layer":1},{"info":"number node, value=3892","layer":2},{"info":"number node, value=9331","layer":2},{"info":"compute binary expreesion, left_input=3892, right_input=9331, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3408","layer":1},{"info":"compute binary expreesion, left_input=2940, right_input=3408, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎≴∭⊉4200)⊍⩺⋍≴∭⊉14230↢≴∭⊉36130=NaN","reverse_text":"NaN=(⪲⇎≴∭⊉4200)⊍⩺⋍≴∭⊉14230↢≴∭⊉36130","cot":[{"info":"⪲⇎≴∭⊉4200=≴∭⊉11400","layer":1},{"info":"≴∭⊉14230↢≴∭⊉36130=≴∭⊉12636","layer":1},{"info":"≴∭⊉11400⊍⩺⋍≴∭⊉12636=NaN","layer":0}]}
+{"id":364,"expression_no_base_symbol":"∐⩳⋚($3514$⪍↜⋙$4202$)","expression":"∐⩳⋚(≴∭⊉13150⪍↜⋙≴∭⊉15152)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":195,"operation_count":2,"complexity_ratio":97.5,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3514,"base":7},"right_expr":{"type":"numeric_atoms","value":4202,"base":7}}},"used_operators":["SL6IHkK8vl","L05ObWFQCd"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉-123155212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3514","layer":2},{"info":"number node, value=4202","layer":2},{"info":"compute binary expreesion, left_input=3514, right_input=4202, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26757","layer":1},{"info":"compute unary expreesion, input=-26757, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-7795468","layer":0}],"base":7,"result_base":7,"text":"∐⩳⋚(≴∭⊉13150⪍↜⋙≴∭⊉15152)=≴∭⊉-123155212","reverse_text":"≴∭⊉-123155212=∐⩳⋚(≴∭⊉13150⪍↜⋙≴∭⊉15152)","cot":[{"info":"≴∭⊉13150⪍↜⋙≴∭⊉15152=≴∭⊉-141003","layer":1},{"info":"∐⩳⋚≴∭⊉-141003=≴∭⊉-123155212","layer":0}]}
+{"id":365,"expression_no_base_symbol":"($2902$⪨⊡$7092$)⇤(⨰⫟⨤$6134$)","expression":"(≴∭⊉11314⪨⊡≴∭⊉26451)⇤(⨰⫟⨤≴∭⊉23612)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23726,"operation_count":3,"complexity_ratio":7908.666666666667,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2902,"base":7},"right_expr":{"type":"numeric_atoms","value":7092,"base":7}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6134,"base":7}}},"used_operators":["YSKBFp38Pu","kuIXHzHcAH","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2902","layer":2},{"info":"number node, value=7092","layer":2},{"info":"compute binary expreesion, left_input=2902, right_input=7092, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=6134","layer":2},{"info":"compute unary expreesion, input=6134, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11314⪨⊡≴∭⊉26451)⇤(⨰⫟⨤≴∭⊉23612)=NaN","reverse_text":"NaN=(≴∭⊉11314⪨⊡��∭⊉26451)⇤(⨰⫟⨤≴∭⊉23612)","cot":[{"info":"≴∭⊉11314⪨⊡≴∭⊉26451=≴∭⊉0","layer":1},{"info":"⨰⫟⨤≴∭⊉23612=NaN","layer":1},{"info":"≴∭⊉0⇤NaN=NaN","layer":0}]}
+{"id":366,"expression_no_base_symbol":"(⪛⨧$1204$)≁($3450$⫯⪬∳$5852$)","expression":"(⪛⨧≴∭⊉3340)≁(≴∭⊉13026⫯⪬∳≴∭⊉23030)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1204,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3450,"base":7},"right_expr":{"type":"numeric_atoms","value":5852,"base":7}}},"used_operators":["8N2wDY1A35","6NJAcO2OWT","d7ASUq0ydm"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≴∭⊉2135231","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":2},{"info":"compute unary expreesion, input=1204, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3809","layer":1},{"info":"number node, value=3450","layer":2},{"info":"number node, value=5852","layer":2},{"info":"compute binary expreesion, left_input=3450, right_input=5852, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=11431","layer":1},{"info":"compute binary expreesion, left_input=3809, right_input=11431, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=261143","layer":0}],"base":7,"result_base":7,"text":"(⪛⨧≴∭⊉3340)≁(≴∭⊉13026⫯⪬∳≴∭⊉23030)=≴∭⊉2135231","reverse_text":"≴∭⊉2135231=(⪛⨧≴∭⊉3340)≁(≴∭⊉13026⫯⪬∳≴∭⊉23030)","cot":[{"info":"⪛⨧≴∭⊉3340=≴∭⊉14051","layer":1},{"info":"≴∭⊉13026⫯⪬∳≴∭⊉23030=≴∭⊉45220","layer":1},{"info":"≴∭⊉14051≁≴∭⊉45220=≴∭⊉2135231","layer":0}]}
+{"id":367,"expression_no_base_symbol":"$1020$∊∟⩊$1251$⇣⩺⋵($3298$⊉≛↸$2651$)","expression":"≴∭⊉2655∊∟⩊≴∭⊉3435⇣⩺⋵(≴∭⊉12421⊉≛↸≴∭⊉10505)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1020,"base":7},"right_expr":{"type":"numeric_atoms","value":1251,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3298,"base":7},"right_expr":{"type":"numeric_atoms","value":2651,"base":7}}},"used_operators":["F4yD0voBRQ","ddLRYrp01A","DZ8iAZOCBD"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-32456","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"number node, value=1251","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=1251, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1251","layer":1},{"info":"number node, value=3298","layer":2},{"info":"number node, value=2651","layer":2},{"info":"compute binary expreesion, left_input=3298, right_input=2651, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6596","layer":1},{"info":"compute binary expreesion, left_input=1251, right_input=6596, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-8126","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2655∊∟⩊≴∭⊉3435⇣⩺⋵(≴∭⊉12421⊉≛↸≴∭⊉10505)=≴∭⊉-32456","reverse_text":"≴∭⊉-32456=≴∭⊉2655∊∟⩊≴∭⊉3435⇣⩺⋵(≴∭⊉12421⊉≛↸≴∭⊉10505)","cot":[{"info":"≴∭⊉2655∊∟⩊≴∭⊉3435=≴∭⊉3435","layer":1},{"info":"≴∭⊉12421⊉≛↸≴∭⊉10505=≴∭⊉25142","layer":1},{"info":"≴∭⊉3435⇣⩺⋵≴∭⊉25142=≴∭⊉-32456","layer":0}]}
+{"id":368,"expression_no_base_symbol":"$1788$↳≱$1199$⫳≱↱$6986$⩖⊿$5970$","expression":"≴∭⊉5133↳≱≴∭⊉3332⫳≱↱≴∭⊉26240⩖⊿≴∭⊉23256","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":423,"operation_count":3,"complexity_ratio":141.0,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1788,"base":7},"right_expr":{"type":"numeric_atoms","value":1199,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":6986,"base":7},"right_expr":{"type":"numeric_atoms","value":5970,"base":7}}},"used_operators":["ZvLB05nZmT","JwTKLfZU96","RZ5CV9rWsJ"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≴∭⊉-411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":2},{"info":"number node, value=1199","layer":2},{"info":"compute binary expreesion, left_input=1788, right_input=1199, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=6986","layer":2},{"info":"number node, value=5970","layer":2},{"info":"compute binary expreesion, left_input=6986, right_input=5970, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=19734","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=19734, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5133↳≱≴∭⊉3332⫳≱↱≴∭⊉26240⩖⊿≴∭⊉23256=≴∭⊉-411","reverse_text":"≴∭⊉-411=≴∭⊉5133↳≱≴∭⊉3332⫳≱↱≴∭⊉26240⩖⊿≴∭⊉23256","cot":[{"info":"≴∭⊉5133↳≱≴∭⊉3332=≴∭⊉0","layer":1},{"info":"≴∭⊉26240⩖⊿≴∭⊉23256=≴∭⊉111351","layer":1},{"info":"≴∭⊉0⫳≱↱≴∭⊉111351=≴∭⊉-411","layer":0}]}
+{"id":369,"expression_no_base_symbol":"$2196$∺≝⩲$4370$⋾⨃∁($2104$⫸⇳$8207$)","expression":"≴∭⊉6255∺≝⩲≴∭⊉15512⋾⨃∁(≴∭⊉6064⫸⇳≴∭⊉32633)","highest_n_order":2,"priority_hierarchical_complexity":3,"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":2196,"base":7},"right_expr":{"type":"numeric_atoms","value":4370,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2104,"base":7},"right_expr":{"type":"numeric_atoms","value":8207,"base":7}}},"used_operators":["212REbPD9h","KPf6cnQVty","gx7XJ7hdpj"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉-163","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2196","layer":2},{"info":"number node, value=4370","layer":2},{"info":"compute binary expreesion, left_input=2196, right_input=4370, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2104","layer":2},{"info":"number node, value=8207","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=8207, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6255∺≝⩲≴∭⊉15512⋾⨃∁(≴∭⊉6064⫸⇳≴∭⊉32633)=≴∭⊉-163","reverse_text":"≴∭⊉-163=≴∭⊉6255∺≝⩲≴∭⊉15512⋾⨃∁(≴∭⊉6064⫸⇳≴∭⊉32633)","cot":[{"info":"≴∭⊉6255∺≝⩲≴∭⊉15512=≴∭⊉316","layer":1},{"info":"≴∭⊉6064⫸⇳≴∭⊉32633=≴∭⊉0","layer":1},{"info":"≴∭⊉316⋾⨃∁≴∭⊉0=≴∭⊉-163","layer":0}]}
+{"id":370,"expression_no_base_symbol":"↽≂(↴⪽⋼$1363$)","expression":"↽≂(↴⪽⋼≴∭⊉3655)","highest_n_order":3,"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":1363,"base":7}}},"used_operators":["u6S6b8DprG","5TUYCnJO6w"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"≴∭⊉-10643","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":2},{"info":"compute unary expreesion, input=1363, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1363","layer":1},{"info":"compute unary expreesion, input=1363, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2726","layer":0}],"base":7,"result_base":7,"text":"↽≂(↴⪽⋼≴∭⊉3655)=≴∭⊉-10643","reverse_text":"≴∭⊉-10643=↽≂(↴⪽⋼≴∭⊉3655)","cot":[{"info":"↴⪽⋼≴∭⊉3655=≴∭⊉3655","layer":1},{"info":"↽≂≴∭⊉3655=≴∭⊉-10643","layer":0}]}
+{"id":371,"expression_no_base_symbol":"($2888$⪶≀⋏$3013$)⪪($1824$⇗⋫)","expression":"(≴∭⊉11264⪶≀⋏≴∭⊉11533)⪪(≴∭⊉5214⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":368,"operation_count":3,"complexity_ratio":122.66666666666667,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2888,"base":7},"right_expr":{"type":"numeric_atoms","value":3013,"base":7}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1824,"base":7}}},"used_operators":["xD69zh8xqp","zR4jO40bMj","hpqmaQFPrd"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rxpJgHHUmx"],"result":"≴∭⊉-24044","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2888","layer":2},{"info":"number node, value=3013","layer":2},{"info":"compute binary expreesion, left_input=2888, right_input=3013, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14922","layer":1},{"info":"number node, value=1824","layer":2},{"info":"compute unary expreesion, input=1824, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14922, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11264⪶≀⋏≴∭⊉11533)⪪(≴∭⊉5214⇗⋫)=≴∭⊉-24044","reverse_text":"≴∭⊉-24044=(≴∭⊉11264⪶≀⋏≴∭⊉11533)⪪(≴∭⊉5214⇗⋫)","cot":[{"info":"≴∭⊉11264⪶≀⋏≴∭⊉11533=≴∭⊉-61335","layer":1},{"info":"≴∭⊉5214⇗⋫=NaN","layer":1},{"info":"≴∭⊉-61335⪪NaN=≴∭⊉-24044","layer":0}]}
+{"id":372,"expression_no_base_symbol":"(⋗⩴⪓$1546$)↹⊜($7147$≬⋮$1647$)","expression":"(⋗⩴⪓≴∭⊉4336)↹⊜(≴∭⊉26560≬⋮≴∭⊉4542)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1624,"operation_count":3,"complexity_ratio":541.3333333333334,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1546,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7147,"base":7},"right_expr":{"type":"numeric_atoms","value":1647,"base":7}}},"used_operators":["9bazX3JMtO","nOKPl9n5zu","kbkesczE7y"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉-26345","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":2},{"info":"compute unary expreesion, input=1546, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-633","layer":1},{"info":"number node, value=7147","layer":2},{"info":"number node, value=1647","layer":2},{"info":"compute binary expreesion, left_input=7147, right_input=1647, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-633, right_input=868, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7040","layer":0}],"base":7,"result_base":7,"text":"(⋗⩴⪓≴∭⊉4336)↹⊜(≴∭⊉26560≬⋮≴∭⊉4542)=≴∭⊉-26345","reverse_text":"≴∭⊉-26345=(⋗⩴⪓≴∭⊉4336)↹⊜(≴∭⊉26560≬⋮≴∭⊉4542)","cot":[{"info":"⋗⩴⪓≴∭⊉4336=≴∭⊉-1563","layer":1},{"info":"≴∭⊉26560≬⋮≴∭⊉4542=≴∭⊉2350","layer":1},{"info":"≴∭⊉-1563↹⊜≴∭⊉2350=≴∭⊉-26345","layer":0}]}
+{"id":373,"expression_no_base_symbol":"(⩩$1773$)⨳⩥⨓(∑⇻≧$3210$)","expression":"(⩩≴∭⊉5112)⨳⩥⨓(∑⇻≧≴∭⊉12234)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2714,"operation_count":3,"complexity_ratio":904.6666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1773,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3210,"base":7}}},"used_operators":["nCS4ZIUYfx","kMhfGuqI2H","l1M9WJ3V7u"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1773","layer":2},{"info":"compute unary expreesion, input=1773, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3210","layer":2},{"info":"compute unary expreesion, input=3210, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩩≴∭⊉5112)⨳⩥⨓(∑⇻≧≴∭⊉12234)=NaN","reverse_text":"NaN=(⩩≴∭⊉5112)⨳⩥⨓(∑⇻≧≴∭⊉12234)","cot":[{"info":"⩩≴∭⊉5112=NaN","layer":1},{"info":"∑⇻≧≴∭⊉12234=≴∭⊉-2325","layer":1},{"info":"NaN⨳⩥⨓≴∭⊉-2325=NaN","layer":0}]}
+{"id":374,"expression_no_base_symbol":"$5952$⪝$3572$∣(⇺⋃$2731$)","expression":"≴∭⊉23232⪝≴∭⊉13262∣(⇺⋃≴∭⊉10651)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":477,"operation_count":3,"complexity_ratio":159.0,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5952,"base":7},"right_expr":{"type":"numeric_atoms","value":3572,"base":7}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2731,"base":7}}},"used_operators":["PPChnnnBFF","wicAB68Tmb","E5v5B3UAjG"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"≴∭⊉-40630","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5952","layer":2},{"info":"number node, value=3572","layer":2},{"info":"compute binary expreesion, left_input=5952, right_input=3572, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9919","layer":1},{"info":"number node, value=2731","layer":2},{"info":"compute unary expreesion, input=2731, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9919, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-9919","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23232⪝≴∭⊉13262∣(⇺⋃≴∭⊉10651)=≴∭⊉-40630","reverse_text":"≴∭⊉-40630=≴∭⊉23232⪝≴∭⊉13262∣(⇺⋃≴∭⊉10651)","cot":[{"info":"≴∭⊉23232⪝≴∭⊉13262=≴∭⊉-40630","layer":1},{"info":"⇺⋃≴∭⊉10651=NaN","layer":1},{"info":"≴∭⊉-40630∣NaN=≴∭⊉-40630","layer":0}]}
+{"id":375,"expression_no_base_symbol":"⨵($1444$∙⊟$1310$)","expression":"⨵(≴∭⊉4132∙⊟≴∭⊉3551)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1569,"operation_count":2,"complexity_ratio":784.5,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1444,"base":7},"right_expr":{"type":"numeric_atoms","value":1310,"base":7}}},"used_operators":["Tl3Y52tvF8","SxTAKzQCrw"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉-1646000","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1444","layer":2},{"info":"number node, value=1310","layer":2},{"info":"compute binary expreesion, left_input=1444, right_input=1310, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=28618","layer":1},{"info":"compute unary expreesion, input=28618, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-230153","layer":0}],"base":7,"result_base":7,"text":"⨵(≴∭⊉4132∙⊟≴∭⊉3551)=≴∭⊉-1646000","reverse_text":"≴∭⊉-1646000=⨵(≴∭⊉4132∙⊟≴∭⊉3551)","cot":[{"info":"≴∭⊉4132∙⊟≴∭⊉3551=≴∭⊉146302","layer":1},{"info":"⨵≴∭⊉146302=≴∭⊉-1646000","layer":0}]}
+{"id":376,"expression_no_base_symbol":"(↥$9444$)≃(⫶⊄≣$1331$)","expression":"(↥≴∭⊉36351)≃(⫶⊄≣≴∭⊉3611)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1562,"operation_count":3,"complexity_ratio":520.6666666666666,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":9444,"base":7}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1331,"base":7}}},"used_operators":["YbVcJGFEVW","A8NUZmVepG","wxb3vTeyAj"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"≴∭⊉-136","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9444","layer":2},{"info":"compute unary expreesion, input=9444, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"number node, value=1331","layer":2},{"info":"compute unary expreesion, input=1331, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=31908745","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=31908745, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-76","layer":0}],"base":7,"result_base":7,"text":"(↥≴∭⊉36351)≃(⫶⊄≣≴∭⊉3611)=≴∭⊉-136","reverse_text":"≴∭⊉-136=(↥≴∭⊉36351)≃(⫶⊄≣≴∭⊉3611)","cot":[{"info":"↥≴∭⊉36351=≴∭⊉12","layer":1},{"info":"⫶⊄≣≴∭⊉3611=≴∭⊉535135261","layer":1},{"info":"≴∭⊉12≃≴∭⊉535135261=≴∭⊉-136","layer":0}]}
+{"id":377,"expression_no_base_symbol":"($6447$/$5996$)-($6796$⇯⋐)","expression":"(≴∭⊉24540/≴∭⊉23324)-(≴∭⊉25546⇯⋐)","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":6447,"base":7},"right_expr":{"type":"numeric_atoms","value":5996,"base":7}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":6796,"base":7}}},"used_operators":["rysDP5nf3Z","XhwjNDsVaA","LkLIoiE525"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"≴∭⊉-115666","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6447","layer":2},{"info":"number node, value=5996","layer":2},{"info":"compute binary expreesion, left_input=6447, right_input=5996, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=6796","layer":2},{"info":"compute unary expreesion, input=6796, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=21266","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=21266, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-21265","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24540/≴∭⊉23324)-(≴∭⊉25546⇯⋐)=≴∭⊉-115666","reverse_text":"≴∭⊉-115666=(≴∭⊉24540/≴∭⊉23324)-(≴∭⊉25546⇯⋐)","cot":[{"info":"≴∭⊉24540/≴∭⊉23324=≴∭⊉1","layer":1},{"info":"≴∭⊉25546⇯⋐=≴∭⊉116000","layer":1},{"info":"≴∭⊉1-≴∭⊉116000=≴∭⊉-115666","layer":0}]}
+{"id":378,"expression_no_base_symbol":"$1313$⇡⇂$4628$∙⊟(≑⋹$6064$)","expression":"≴∭⊉3554⇡⇂≴∭⊉16331∙⊟(≑⋹≴∭⊉23452)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25124,"operation_count":3,"complexity_ratio":8374.666666666666,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":4628,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":6064,"base":7}}},"used_operators":["SxTAKzQCrw","UMwdvZNt44","6B9nyZLogK"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1313","layer":2},{"info":"number node, value=4628","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=4628, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=6064","layer":2},{"info":"compute unary expreesion, input=6064, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3554⇡⇂≴∭⊉16331∙⊟(≑⋹≴∭⊉23452)=NaN","reverse_text":"NaN=≴∭⊉3554⇡⇂≴∭⊉16331∙⊟(≑⋹≴∭⊉23452)","cot":[{"info":"≴∭⊉3554⇡⇂≴∭⊉16331=NaN","layer":1},{"info":"≑⋹≴∭⊉23452=≴∭⊉4545","layer":1},{"info":"NaN∙⊟≴∭⊉4545=NaN","layer":0}]}
+{"id":379,"expression_no_base_symbol":"⊖($2051$⫲⨊)","expression":"⊖(≴∭⊉5660⫲⨊)","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":2051,"base":7}}},"used_operators":["U6pG0PXrV3","CArV6hThFE"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":2},{"info":"compute unary expreesion, input=2051, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=11038","layer":1},{"info":"compute unary expreesion, input=11038, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⊖(≴∭⊉5660⫲⨊)=≴∭⊉0","reverse_text":"≴∭⊉0=⊖(≴∭⊉5660⫲⨊)","cot":[{"info":"≴∭⊉5660⫲⨊=≴∭⊉44116","layer":1},{"info":"⊖≴∭⊉44116=≴∭⊉0","layer":0}]}
+{"id":380,"expression_no_base_symbol":"($3170$⪚$7796$)⨿($2038$⨎$2709$)","expression":"(≴∭⊉12146⪚≴∭⊉31505)⨿(≴∭⊉5641⨎≴∭⊉10620)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29249,"operation_count":3,"complexity_ratio":9749.666666666666,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3170,"base":7},"right_expr":{"type":"numeric_atoms","value":7796,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2038,"base":7},"right_expr":{"type":"numeric_atoms","value":2709,"base":7}}},"used_operators":["abYXlopdE0","HrjLwUk87U","rJVOvQCfKK"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":2},{"info":"number node, value=7796","layer":2},{"info":"compute binary expreesion, left_input=3170, right_input=7796, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-9608","layer":1},{"info":"number node, value=2038","layer":2},{"info":"number node, value=2709","layer":2},{"info":"compute binary expreesion, left_input=2038, right_input=2709, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2709","layer":1},{"info":"compute binary expreesion, left_input=-9608, right_input=2709, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12146⪚≴∭⊉31505)⨿(≴∭⊉5641⨎≴∭⊉10620)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉12146⪚≴∭⊉31505)⨿(≴∭⊉5641⨎≴∭⊉10620)","cot":[{"info":"≴∭⊉12146⪚≴∭⊉31505=≴∭⊉-40004","layer":1},{"info":"≴∭⊉5641⨎≴∭⊉10620=≴∭⊉10620","layer":1},{"info":"≴∭⊉-40004⨿≴∭⊉10620=≴∭⊉124","layer":0}]}
+{"id":381,"expression_no_base_symbol":"($1663$⩨$2650$)⨑⩅≇($2723$⩍⋽⫝̸$2059$)","expression":"(≴∭⊉4564⩨≴∭⊉10504)⨑⩅≇(≴∭⊉10640⩍⋽⫝̸≴∭⊉6001)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1173,"operation_count":3,"complexity_ratio":391.0,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1663,"base":7},"right_expr":{"type":"numeric_atoms","value":2650,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2723,"base":7},"right_expr":{"type":"numeric_atoms","value":2059,"base":7}}},"used_operators":["h92wMvzauj","2DlMacCsIx","BiWNJpBvwn"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≴∭⊉12","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1663","layer":2},{"info":"number node, value=2650","layer":2},{"info":"compute binary expreesion, left_input=1663, right_input=2650, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=2723","layer":2},{"info":"number node, value=2059","layer":2},{"info":"compute binary expreesion, left_input=2723, right_input=2059, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1113","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=1113, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=9","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4564⩨≴∭⊉10504)⨑⩅≇(≴∭⊉10640⩍⋽⫝̸≴∭⊉6001)=≴∭⊉12","reverse_text":"≴∭⊉12=(≴∭⊉4564⩨≴∭⊉10504)⨑⩅≇(≴∭⊉10640⩍⋽⫝̸≴∭⊉6001)","cot":[{"info":"≴∭⊉4564⩨≴∭⊉10504=≴∭⊉-3","layer":1},{"info":"≴∭⊉10640⩍⋽⫝̸≴∭⊉6001=≴∭⊉3150","layer":1},{"info":"≴∭⊉-3⨑⩅≇≴∭⊉3150=≴∭⊉12","layer":0}]}
+{"id":382,"expression_no_base_symbol":"($2486$⩵∡$5898$)≚⊃≕(-$8742$)","expression":"(≴∭⊉10151⩵∡≴∭⊉23124)≚⊃≕(-≴∭⊉34326)","highest_n_order":1,"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":2486,"base":7},"right_expr":{"type":"numeric_atoms","value":5898,"base":7}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8742,"base":7}}},"used_operators":["Bmrmz2XGnR","Y7wcNGrDQJ","t8gj7n24qd"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉-60033","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2486","layer":2},{"info":"number node, value=5898","layer":2},{"info":"compute binary expreesion, left_input=2486, right_input=5898, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=805","layer":1},{"info":"number node, value=8742","layer":2},{"info":"compute unary expreesion, input=8742, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8742","layer":1},{"info":"compute binary expreesion, left_input=805, right_input=-8742, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14430","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10151⩵∡≴∭⊉23124)≚⊃≕(-≴∭⊉34326)=≴∭⊉-60033","reverse_text":"≴∭⊉-60033=(≴∭⊉10151⩵∡≴∭⊉23124)≚⊃≕(-≴∭⊉34326)","cot":[{"info":"≴∭⊉10151⩵∡≴∭⊉23124=≴∭⊉2230","layer":1},{"info":"-≴∭⊉34326=≴∭⊉-34326","layer":1},{"info":"≴∭⊉2230≚⊃≕≴∭⊉-34326=≴∭⊉-60033","layer":0}]}
+{"id":383,"expression_no_base_symbol":"($5906$⪹)⨔≚≋$1546$⫣⪄⊒$1390$","expression":"(≴∭⊉23135⪹)⨔≚≋≴∭⊉4336⫣⪄⊒≴∭⊉4024","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5906,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":1390,"base":7}}},"used_operators":["Z57zeUYC9z","B3sABdIn96","RabNbG55vr"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"≴∭⊉40532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5906","layer":2},{"info":"compute unary expreesion, input=5906, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=16304","layer":1},{"info":"number node, value=1546","layer":2},{"info":"number node, value=1390","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=1390, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5760","layer":1},{"info":"compute binary expreesion, left_input=16304, right_input=-5760, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23135⪹)⨔≚≋≴∭⊉4336⫣⪄⊒≴∭⊉4024=≴∭⊉40532","reverse_text":"≴∭⊉40532=(≴∭⊉23135⪹)⨔≚≋≴∭⊉4336⫣⪄⊒≴∭⊉4024","cot":[{"info":"≴∭⊉23135⪹=≴∭⊉65351","layer":1},{"info":"≴∭⊉4336⫣⪄⊒≴∭⊉4024=≴∭⊉-22536","layer":1},{"info":"≴∭⊉65351⨔≚≋≴∭⊉-22536=≴∭⊉40532","layer":0}]}
+{"id":384,"expression_no_base_symbol":"($2392$⪚⩙≫)∘$1189$⨽∌$2545$","expression":"(≴∭⊉6655⪚⩙≫)∘≴∭⊉3316⨽∌≴∭⊉10264","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2392,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1189,"base":7},"right_expr":{"type":"numeric_atoms","value":2545,"base":7}}},"used_operators":["Z5m6OM72h2","4n53wtyJvv","9samAPKr6k"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2392","layer":2},{"info":"compute unary expreesion, input=2392, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"number node, value=1189","layer":2},{"info":"number node, value=2545","layer":2},{"info":"compute binary expreesion, left_input=1189, right_input=2545, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6655⪚⩙≫)∘≴∭⊉3316⨽∌≴∭⊉10264=NaN","reverse_text":"NaN=(≴∭⊉6655⪚⩙≫)∘≴∭⊉3316⨽∌≴∭⊉10264","cot":[{"info":"≴∭⊉6655⪚⩙≫=NaN","layer":1},{"info":"≴∭⊉3316⨽∌≴∭⊉10264=≴∭⊉0","layer":1},{"info":"NaN∘≴∭⊉0=NaN","layer":0}]}
+{"id":385,"expression_no_base_symbol":"(≉$3226$)⫠","expression":"(≉≴∭⊉12256)⫠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52626,"operation_count":2,"complexity_ratio":26313.0,"tree":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3226,"base":7}}},"used_operators":["6SnOT2rOjz","e1ybzncUwg"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3226","layer":2},{"info":"compute unary expreesion, input=3226, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3757","layer":1},{"info":"compute unary expreesion, input=3757, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≉≴∭⊉12256)⫠=≴∭⊉0","reverse_text":"≴∭⊉0=(≉≴∭⊉12256)⫠","cot":[{"info":"≉≴∭⊉12256=≴∭⊉13645","layer":1},{"info":"≴∭⊉13645⫠=≴∭⊉0","layer":0}]}
+{"id":386,"expression_no_base_symbol":"⫖→(⩦⊞$2500$)","expression":"⫖→(⩦⊞≴∭⊉10201)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2422,"operation_count":2,"complexity_ratio":1211.0,"tree":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2500,"base":7}}},"used_operators":["U4ylXWHChL","u7fv1HBiaC"],"dependent_operators":["tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"≴∭⊉342","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2500","layer":2},{"info":"compute unary expreesion, input=2500, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2227","layer":1},{"info":"compute unary expreesion, input=-2227, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":0}],"base":7,"result_base":7,"text":"⫖→(⩦⊞≴∭⊉10201)=≴∭⊉342","reverse_text":"≴∭⊉342=⫖→(⩦⊞≴∭⊉10201)","cot":[{"info":"⩦⊞≴∭⊉10201=≴∭⊉-6331","layer":1},{"info":"⫖→≴∭⊉-6331=≴∭⊉342","layer":0}]}
+{"id":387,"expression_no_base_symbol":"$3523$≁$1865$∺≝⩲(⪭⩑⪱$3006$)","expression":"≴∭⊉13162≁≴∭⊉5303∺≝⩲(⪭⩑⪱≴∭⊉11523)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38326,"operation_count":3,"complexity_ratio":12775.333333333334,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3523,"base":7},"right_expr":{"type":"numeric_atoms","value":1865,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3006,"base":7}}},"used_operators":["KPf6cnQVty","8N2wDY1A35","SIgE0bArFf"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":2},{"info":"number node, value=1865","layer":2},{"info":"compute binary expreesion, left_input=3523, right_input=1865, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=31559","layer":1},{"info":"number node, value=3006","layer":2},{"info":"compute unary expreesion, input=3006, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=31559, right_input=8320752, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13162≁≴∭⊉5303∺≝⩲(⪭⩑⪱≴∭⊉11523)=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉13162≁≴∭⊉5303∺≝⩲(⪭⩑⪱≴∭⊉11523)","cot":[{"info":"≴∭⊉13162≁≴∭⊉5303=≴∭⊉161003","layer":1},{"info":"⪭⩑⪱≴∭⊉11523=≴∭⊉130503516","layer":1},{"info":"≴∭⊉161003∺≝⩲≴∭⊉130503516=≴∭⊉316","layer":0}]}
+{"id":388,"expression_no_base_symbol":"$3063$⨓$2752$∙∹∝(⨆≐≲$1487$)","expression":"≴∭⊉11634⨓≴∭⊉11011∙∹∝(⨆≐≲≴∭⊉4223)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2881,"operation_count":3,"complexity_ratio":960.3333333333334,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3063,"base":7},"right_expr":{"type":"numeric_atoms","value":2752,"base":7}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1487,"base":7}}},"used_operators":["HmxsFra2vL","3ViojmjbAp","Bi9z9uYZqW"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3063","layer":2},{"info":"number node, value=2752","layer":2},{"info":"compute binary expreesion, left_input=3063, right_input=2752, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2755","layer":1},{"info":"number node, value=1487","layer":2},{"info":"compute unary expreesion, input=1487, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=15940248","layer":1},{"info":"compute binary expreesion, left_input=-2755, right_input=15940248, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11634⨓≴∭⊉11011∙∹∝(⨆≐≲≴∭⊉4223)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉11634⨓≴∭⊉11011∙∹∝(⨆≐≲≴∭⊉4223)","cot":[{"info":"≴∭⊉11634⨓≴∭⊉11011=≴∭⊉-11014","layer":1},{"info":"⨆≐≲≴∭⊉4223=≴∭⊉252330012","layer":1},{"info":"≴∭⊉-11014∙∹∝≴∭⊉252330012=≴∭⊉0","layer":0}]}
+{"id":389,"expression_no_base_symbol":"($3312$⫸⊐$1305$)≁↽≥($3668$⊲⩕⊾$2837$)","expression":"(≴∭⊉12441⫸⊐≴∭⊉3543)≁↽≥(≴∭⊉13460⊲⩕⊾≴∭⊉11162)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83769,"operation_count":3,"complexity_ratio":27923.0,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3312,"base":7},"right_expr":{"type":"numeric_atoms","value":1305,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3668,"base":7},"right_expr":{"type":"numeric_atoms","value":2837,"base":7}}},"used_operators":["ncHt1X6cMc","mqXw5SEYmG","DmTXOeWf9t"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3312","layer":2},{"info":"number node, value=1305","layer":2},{"info":"compute binary expreesion, left_input=3312, right_input=1305, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5095","layer":1},{"info":"number node, value=3668","layer":2},{"info":"number node, value=2837","layer":2},{"info":"compute binary expreesion, left_input=3668, right_input=2837, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-83688","layer":1},{"info":"compute binary expreesion, left_input=5095, right_input=-83688, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12441⫸⊐≴∭⊉3543)≁↽≥(≴∭⊉13460⊲⩕⊾≴∭⊉11162)=≴∭⊉400","reverse_text":"≴∭⊉400=(≴∭⊉12441⫸⊐≴∭⊉3543)≁↽≥(≴∭⊉13460⊲⩕⊾≴∭⊉11162)","cot":[{"info":"≴∭⊉12441⫸⊐≴∭⊉3543=≴∭⊉20566","layer":1},{"info":"≴∭⊉13460⊲⩕⊾≴∭⊉11162=≴∭⊉-465663","layer":1},{"info":"≴∭⊉20566≁↽≥≴∭⊉-465663=≴∭⊉400","layer":0}]}
+{"id":390,"expression_no_base_symbol":"(⊖∈$1372$)↙(⪲⇎$1390$)","expression":"(⊖∈≴∭⊉4000)↙(⪲⇎≴∭⊉4024)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2841,"operation_count":3,"complexity_ratio":947.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1372,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1390,"base":7}}},"used_operators":["yyfyN0ffXY","YFxL8Sc2Zy","XPYlsWDdGa"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-33213","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1372","layer":2},{"info":"compute unary expreesion, input=1372, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=21846","layer":1},{"info":"number node, value=1390","layer":2},{"info":"compute unary expreesion, input=1390, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2780","layer":1},{"info":"compute binary expreesion, left_input=21846, right_input=2780, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8340","layer":0}],"base":7,"result_base":7,"text":"(⊖∈≴∭⊉4000)↙(⪲⇎≴∭⊉4024)=≴∭⊉-33213","reverse_text":"≴∭⊉-33213=(⊖∈≴∭⊉4000)↙(⪲⇎≴∭⊉4024)","cot":[{"info":"⊖∈≴∭⊉4000=≴∭⊉120456","layer":1},{"info":"⪲⇎≴∭⊉4024=≴∭⊉11051","layer":1},{"info":"≴∭⊉120456↙≴∭⊉11051=≴∭⊉-33213","layer":0}]}
+{"id":391,"expression_no_base_symbol":"($3007$⪨⊡$2039$)∼($2392$⪛$1402$)","expression":"(≴∭⊉11524⪨⊡≴∭⊉5642)∼(≴∭⊉6655⪛≴∭⊉4042)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3997,"operation_count":3,"complexity_ratio":1332.3333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3007,"base":7},"right_expr":{"type":"numeric_atoms","value":2039,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2392,"base":7},"right_expr":{"type":"numeric_atoms","value":1402,"base":7}}},"used_operators":["DyGG3AbaNP","kuIXHzHcAH","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3007","layer":2},{"info":"number node, value=2039","layer":2},{"info":"compute binary expreesion, left_input=3007, right_input=2039, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2392","layer":2},{"info":"number node, value=1402","layer":2},{"info":"compute binary expreesion, left_input=2392, right_input=1402, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=990","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=990, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11524⪨⊡≴∭⊉5642)∼(≴∭⊉6655⪛≴∭⊉4042)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉11524⪨⊡≴∭⊉5642)∼(≴∭⊉6655⪛≴∭⊉4042)","cot":[{"info":"≴∭⊉11524⪨⊡≴∭⊉5642=≴∭⊉0","layer":1},{"info":"≴∭⊉6655⪛≴∭⊉4042=≴∭⊉2613","layer":1},{"info":"≴∭⊉0∼≴∭⊉2613=≴∭⊉0","layer":0}]}
+{"id":392,"expression_no_base_symbol":"($2841$⫃⨇$1806$)⩌⋺$4141$↓$2566$","expression":"(≴∭⊉11166⫃⨇≴∭⊉5160)⩌⋺≴∭⊉15034↓≴∭⊉10324","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36240,"operation_count":3,"complexity_ratio":12080.0,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2841,"base":7},"right_expr":{"type":"numeric_atoms","value":1806,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4141,"base":7},"right_expr":{"type":"numeric_atoms","value":2566,"base":7}}},"used_operators":["g7Hmc5v1ko","09Ly4LVMIf","Af076pWI7l"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉30123","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":2},{"info":"number node, value=1806","layer":2},{"info":"compute binary expreesion, left_input=2841, right_input=1806, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7256","layer":1},{"info":"number node, value=4141","layer":2},{"info":"number node, value=2566","layer":2},{"info":"compute binary expreesion, left_input=4141, right_input=2566, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-7256, right_input=-134, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=7269","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11166⫃⨇≴∭⊉5160)⩌⋺≴∭⊉15034↓≴∭⊉10324=≴∭⊉30123","reverse_text":"≴∭⊉30123=(≴∭⊉11166⫃⨇≴∭⊉5160)⩌⋺≴∭⊉15034↓≴∭⊉10324","cot":[{"info":"≴∭⊉11166⫃⨇≴∭⊉5160=≴∭⊉-30104","layer":1},{"info":"≴∭⊉15034↓≴∭⊉10324=≴∭⊉-251","layer":1},{"info":"≴∭⊉-30104⩌⋺≴∭⊉-251=≴∭⊉30123","layer":0}]}
+{"id":393,"expression_no_base_symbol":"($4586$⩍⋽⫝̸$1629$)≁↽≥(⪭⩑⪱$7388$)","expression":"(≴∭⊉16241⩍⋽⫝̸≴∭⊉4515)≁↽≥(⪭⩑⪱≴∭⊉30353)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":460668,"operation_count":3,"complexity_ratio":153556.0,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4586,"base":7},"right_expr":{"type":"numeric_atoms","value":1629,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":7388,"base":7}}},"used_operators":["ncHt1X6cMc","BiWNJpBvwn","SIgE0bArFf"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"≴∭⊉112553","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":2},{"info":"number node, value=1629","layer":2},{"info":"compute binary expreesion, left_input=4586, right_input=1629, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=683","layer":1},{"info":"number node, value=7388","layer":2},{"info":"compute unary expreesion, input=7388, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=683, right_input=8320752, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=20177","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16241⩍⋽⫝̸≴∭⊉4515)≁↽≥(⪭⩑⪱≴∭⊉30353)=≴∭⊉112553","reverse_text":"≴∭⊉112553=(≴∭⊉16241⩍⋽⫝̸≴∭⊉4515)≁↽≥(⪭⩑⪱≴∭⊉30353)","cot":[{"info":"≴∭⊉16241⩍⋽⫝̸≴∭⊉4515=≴∭⊉1664","layer":1},{"info":"⪭⩑⪱≴∭⊉30353=≴∭⊉130503516","layer":1},{"info":"≴∭⊉1664≁↽≥≴∭⊉130503516=≴∭⊉112553","layer":0}]}
+{"id":394,"expression_no_base_symbol":"$3376$∀⇚≩$6269$⫳≱↱($3367$∸)","expression":"≴∭⊉12562∀⇚≩≴∭⊉24164⫳≱↱(≴∭⊉12550∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23860,"operation_count":3,"complexity_ratio":7953.333333333333,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3376,"base":7},"right_expr":{"type":"numeric_atoms","value":6269,"base":7}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3367,"base":7}}},"used_operators":["ZvLB05nZmT","LRNGc0VcxI","o20kRiQErp"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","X99M06cbEe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3376","layer":2},{"info":"number node, value=6269","layer":2},{"info":"compute binary expreesion, left_input=3376, right_input=6269, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3367","layer":2},{"info":"compute unary expreesion, input=3367, 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 = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12562∀⇚≩≴∭⊉24164⫳≱↱(≴∭⊉12550∸)=NaN","reverse_text":"NaN=≴∭⊉12562∀⇚≩≴∭⊉24164⫳≱↱(≴∭⊉12550∸)","cot":[{"info":"≴∭⊉12562∀⇚≩≴∭⊉24164=NaN","layer":1},{"info":"≴∭⊉12550∸=≴∭⊉342","layer":1},{"info":"NaN⫳≱↱≴∭⊉342=NaN","layer":0}]}
+{"id":395,"expression_no_base_symbol":"($7197$⫳≱↱$1289$)↺($1574$⪒$1302$)","expression":"(≴∭⊉26661⫳≱↱≴∭⊉3521)↺(≴∭⊉4406⪒≴∭⊉3540)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":314,"operation_count":3,"complexity_ratio":104.66666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":7197,"base":7},"right_expr":{"type":"numeric_atoms","value":1289,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1574,"base":7},"right_expr":{"type":"numeric_atoms","value":1302,"base":7}}},"used_operators":["7j4O788W3g","ZvLB05nZmT","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-11246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7197","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=7197, right_input=1289, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1574","layer":2},{"info":"number node, value=1302","layer":2},{"info":"compute binary expreesion, left_input=1574, right_input=1302, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2876","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-2876, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2876","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26661⫳≱↱≴∭⊉3521)↺(≴∭⊉4406⪒≴∭⊉3540)=≴∭⊉-11246","reverse_text":"≴∭⊉-11246=(≴∭⊉26661⫳≱↱≴∭⊉3521)↺(≴∭⊉4406⪒≴∭⊉3540)","cot":[{"info":"≴∭⊉26661⫳≱↱≴∭⊉3521=≴∭⊉-411","layer":1},{"info":"≴∭⊉4406⪒≴∭⊉3540=≴∭⊉-11246","layer":1},{"info":"≴∭⊉-411↺≴∭⊉-11246=≴∭⊉-11246","layer":0}]}
+{"id":396,"expression_no_base_symbol":"($2490$+$2519$)↳≱($3514$⋷$2023$)","expression":"(≴∭⊉10155+≴∭⊉10226)↳≱(≴∭⊉13150⋷≴∭⊉5620)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":89,"operation_count":3,"complexity_ratio":29.666666666666668,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2490,"base":7},"right_expr":{"type":"numeric_atoms","value":2519,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3514,"base":7},"right_expr":{"type":"numeric_atoms","value":2023,"base":7}}},"used_operators":["JwTKLfZU96","W4YGzv6Whe","23Mk6UjR3U"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2490","layer":2},{"info":"number node, value=2519","layer":2},{"info":"compute binary expreesion, left_input=2490, right_input=2519, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5009","layer":1},{"info":"number node, value=3514","layer":2},{"info":"number node, value=2023","layer":2},{"info":"compute binary expreesion, left_input=3514, right_input=2023, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=532","layer":1},{"info":"compute binary expreesion, left_input=5009, right_input=532, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10155+≴∭⊉10226)↳≱(≴∭⊉13150⋷≴∭⊉5620)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉10155+≴∭⊉10226)↳≱(≴∭⊉13150⋷≴∭⊉5620)","cot":[{"info":"≴∭⊉10155+≴∭⊉10226=≴∭⊉20414","layer":1},{"info":"≴∭⊉13150⋷≴∭⊉5620=≴∭⊉1360","layer":1},{"info":"≴∭⊉20414↳≱≴∭⊉1360=≴∭⊉0","layer":0}]}
+{"id":397,"expression_no_base_symbol":"$2347$↓$2611$⩍⋽⫝̸(⫓⪴$2909$)","expression":"≴∭⊉6562↓≴∭⊉10420⩍⋽⫝̸(⫓⪴≴∭⊉11324)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39764,"operation_count":3,"complexity_ratio":13254.666666666666,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2347,"base":7},"right_expr":{"type":"numeric_atoms","value":2611,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2909,"base":7}}},"used_operators":["BiWNJpBvwn","Af076pWI7l","eLxqMNBOBk"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9HNa5Wba9A"],"result":"≴∭⊉131630421","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":2},{"info":"number node, value=2611","layer":2},{"info":"compute binary expreesion, left_input=2347, right_input=2611, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=2909","layer":2},{"info":"compute unary expreesion, input=2909, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8462281","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=8462281, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=8461335","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6562↓≴∭⊉10420⩍⋽⫝̸(⫓⪴≴∭⊉11324)=≴∭⊉131630421","reverse_text":"≴∭⊉131630421=≴∭⊉6562↓≴∭⊉10420⩍⋽⫝̸(⫓⪴≴∭⊉11324)","cot":[{"info":"≴∭⊉6562↓≴∭⊉10420=≴∭⊉-251","layer":1},{"info":"⫓⪴≴∭⊉11324=≴∭⊉131633242","layer":1},{"info":"≴∭⊉-251⩍⋽⫝̸≴∭⊉131633242=≴∭⊉131630421","layer":0}]}
+{"id":398,"expression_no_base_symbol":"($2377$⇉⇉)⪛⫼$2782$⨚⇆$5352$","expression":"(≴∭⊉6634⇉⇉)⪛⫼≴∭⊉11053⨚⇆≴∭⊉21414","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22518,"operation_count":3,"complexity_ratio":7506.0,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2377,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2782,"base":7},"right_expr":{"type":"numeric_atoms","value":5352,"base":7}}},"used_operators":["hyuBjUqXlG","diKm42VcIt","lwHaAYXP2r"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":2},{"info":"compute unary expreesion, input=2377, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-146892","layer":1},{"info":"number node, value=2782","layer":2},{"info":"number node, value=5352","layer":2},{"info":"compute binary expreesion, left_input=2782, right_input=5352, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-146892, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6634⇉⇉)⪛⫼≴∭⊉11053⨚⇆≴∭⊉21414=NaN","reverse_text":"NaN=(≴∭⊉6634⇉⇉)⪛⫼≴∭⊉11053⨚⇆≴∭⊉21414","cot":[{"info":"≴∭⊉6634⇉⇉=≴∭⊉-1151154","layer":1},{"info":"≴∭⊉11053⨚⇆≴∭⊉21414=NaN","layer":1},{"info":"≴∭⊉-1151154⪛⫼NaN=NaN","layer":0}]}
+{"id":399,"expression_no_base_symbol":"($2626$⪕$3444$)⊉↱≁($4971$∁)","expression":"(≴∭⊉10441⪕≴∭⊉13020)⊉↱≁(≴∭⊉20331∁)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2626,"base":7},"right_expr":{"type":"numeric_atoms","value":3444,"base":7}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":4971,"base":7}}},"used_operators":["w2P8NbNXyL","umQnsF7QlU","jdwGQqwJi5"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2DDjHMKMc0"],"result":"≴∭⊉-14140","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2626","layer":2},{"info":"number node, value=3444","layer":2},{"info":"compute binary expreesion, left_input=2626, right_input=3444, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2709","layer":1},{"info":"number node, value=4971","layer":2},{"info":"compute unary expreesion, input=4971, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=4971","layer":1},{"info":"compute binary expreesion, left_input=2709, right_input=4971, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3850","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10441⪕≴∭⊉13020)⊉↱≁(≴∭⊉20331∁)=≴∭⊉-14140","reverse_text":"≴∭⊉-14140=(≴∭⊉10441⪕≴∭⊉13020)⊉↱≁(≴∭⊉20331∁)","cot":[{"info":"≴∭⊉10441⪕≴∭⊉13020=≴∭⊉10620","layer":1},{"info":"≴∭⊉20331∁=≴∭⊉20331","layer":1},{"info":"≴∭⊉10620⊉↱≁≴∭⊉20331=≴∭⊉-14140","layer":0}]}
+{"id":400,"expression_no_base_symbol":"$1224$∌$3019$⪉⨛$1154$∥⊢⊲$1331$","expression":"≴∭⊉3366∌≴∭⊉11542⪉⨛≴∭⊉3236∥⊢⊲≴∭⊉3611","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":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1224,"base":7},"right_expr":{"type":"numeric_atoms","value":3019,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1154,"base":7},"right_expr":{"type":"numeric_atoms","value":1331,"base":7}}},"used_operators":["EWw2JM7wp4","8cLx32lpNA","v1UQAVDJRr"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1224","layer":2},{"info":"number node, value=3019","layer":2},{"info":"compute binary expreesion, left_input=1224, right_input=3019, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3019","layer":1},{"info":"number node, value=1154","layer":2},{"info":"number node, value=1331","layer":2},{"info":"compute binary expreesion, left_input=1154, right_input=1331, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3019, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3366∌≴∭⊉11542⪉⨛���∭⊉3236∥⊢⊲≴∭⊉3611=NaN","reverse_text":"NaN=≴∭⊉3366∌≴∭⊉11542⪉⨛≴∭⊉3236∥⊢⊲≴∭⊉3611","cot":[{"info":"≴∭⊉3366∌≴∭⊉11542=≴∭⊉-11542","layer":1},{"info":"≴∭⊉3236∥⊢⊲≴∭⊉3611=NaN","layer":1},{"info":"≴∭⊉-11542⪉⨛NaN=NaN","layer":0}]}
+{"id":401,"expression_no_base_symbol":"(⇖$3268$)⩦($2755$⫸⇳$3125$)","expression":"(⇖≴∭⊉12346)⩦(≴∭⊉11014⫸⇳≴∭⊉12053)","highest_n_order":1,"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":3268,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2755,"base":7},"right_expr":{"type":"numeric_atoms","value":3125,"base":7}}},"used_operators":["0kmYd0q39Y","tfWHHpNKUN","gx7XJ7hdpj"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2DQ55sFlQl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉635","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3268","layer":2},{"info":"compute unary expreesion, input=3268, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=2755","layer":2},{"info":"number node, value=3125","layer":2},{"info":"compute binary expreesion, left_input=2755, right_input=3125, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=320","layer":0}],"base":7,"result_base":7,"text":"(⇖≴∭⊉12346)⩦(≴∭⊉11014⫸⇳≴∭⊉12053)=≴∭⊉635","reverse_text":"≴∭⊉635=(⇖≴∭⊉12346)⩦(≴∭⊉11014⫸⇳≴∭⊉12053)","cot":[{"info":"⇖≴∭⊉12346=≴∭⊉316","layer":1},{"info":"≴∭⊉11014⫸⇳≴∭⊉12053=≴∭⊉0","layer":1},{"info":"≴∭⊉316⩦≴∭⊉0=≴∭⊉635","layer":0}]}
+{"id":402,"expression_no_base_symbol":"($2179$⨓$4316$)≌($1422$⋷$7211$)","expression":"(≴∭⊉6232⨓≴∭⊉15404)≌(≴∭⊉4101⋷≴∭⊉30011)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17456,"operation_count":3,"complexity_ratio":5818.666666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2179,"base":7},"right_expr":{"type":"numeric_atoms","value":4316,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1422,"base":7},"right_expr":{"type":"numeric_atoms","value":7211,"base":7}}},"used_operators":["lyWz822IDG","3ViojmjbAp","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":2},{"info":"number node, value=4316","layer":2},{"info":"compute binary expreesion, left_input=2179, right_input=4316, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4319","layer":1},{"info":"number node, value=1422","layer":2},{"info":"number node, value=7211","layer":2},{"info":"compute binary expreesion, left_input=1422, right_input=7211, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13000","layer":1},{"info":"compute binary expreesion, left_input=-4319, right_input=13000, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6232⨓≴∭⊉15404)≌(≴∭⊉4101⋷≴∭⊉30011)=NaN","reverse_text":"NaN=(≴∭⊉6232⨓≴∭⊉15404)≌(≴∭⊉4101⋷≴∭⊉30011)","cot":[{"info":"≴∭⊉6232⨓≴∭⊉15404=≴∭⊉-15410","layer":1},{"info":"≴∭⊉4101⋷≴∭⊉30011=≴∭⊉52621","layer":1},{"info":"≴∭⊉-15410≌≴∭⊉52621=NaN","layer":0}]}
+{"id":403,"expression_no_base_symbol":"($4985$⪨≂$1011$)∁","expression":"(≴∭⊉20351⪨≂≴∭⊉2643)∁","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":4985,"base":7},"right_expr":{"type":"numeric_atoms","value":1011,"base":7}}},"used_operators":["jdwGQqwJi5","sdazOOVcIp"],"dependent_operators":["2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉32320","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4985","layer":2},{"info":"number node, value=1011","layer":2},{"info":"compute binary expreesion, left_input=4985, right_input=1011, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8050","layer":1},{"info":"compute unary expreesion, input=8050, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=8050","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20351⪨≂≴∭⊉2643)∁=≴∭⊉32320","reverse_text":"≴∭⊉32320=(≴∭⊉20351⪨≂≴∭⊉2643)∁","cot":[{"info":"≴∭⊉20351⪨≂≴∭⊉2643=≴∭⊉32320","layer":1},{"info":"≴∭⊉32320∁=≴∭⊉32320","layer":0}]}
+{"id":404,"expression_no_base_symbol":"∟⋨$1582$⊕∕$3278$","expression":"∟⋨≴∭⊉4420⊕∕≴∭⊉12362","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1584,"operation_count":2,"complexity_ratio":792.0,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1582,"base":7},"right_expr":{"type":"numeric_atoms","value":3278,"base":7}}},"used_operators":["ctOc4cKSDt","9cloC0Ngie"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉-3126","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":2},{"info":"number node, value=3278","layer":2},{"info":"compute binary expreesion, left_input=1582, right_input=3278, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1582","layer":1},{"info":"compute unary expreesion, input=1582, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1098","layer":0}],"base":7,"result_base":7,"text":"∟⋨≴∭⊉4420⊕∕≴∭⊉12362=≴∭⊉-3126","reverse_text":"≴∭⊉-3126=∟⋨≴∭⊉4420⊕∕≴∭⊉12362","cot":[{"info":"≴∭⊉4420⊕∕≴∭⊉12362=≴∭⊉4420","layer":1},{"info":"∟⋨≴∭⊉4420=≴∭⊉-3126","layer":0}]}
+{"id":405,"expression_no_base_symbol":"(→⩰$1264$)↤⩊$1101$⫗⊷⫓$8180$","expression":"(→⩰≴∭⊉3454)↤⩊≴∭⊉3132⫗⊷⫓≴∭⊉32564","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2470,"operation_count":3,"complexity_ratio":823.3333333333334,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1264,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1101,"base":7},"right_expr":{"type":"numeric_atoms","value":8180,"base":7}}},"used_operators":["13rbtpv6ld","o8Pngz0Tml","zashukvMKz"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1264","layer":2},{"info":"compute unary expreesion, input=1264, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=1101","layer":2},{"info":"number node, value=8180","layer":2},{"info":"compute binary expreesion, left_input=1101, right_input=8180, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(→⩰≴∭⊉3454)↤⩊≴∭⊉3132⫗⊷⫓≴∭⊉32564=NaN","reverse_text":"NaN=(→⩰≴∭⊉3454)↤⩊≴∭⊉3132⫗⊷⫓≴∭⊉32564","cot":[{"info":"→⩰≴∭⊉3454=NaN","layer":1},{"info":"≴∭⊉3132⫗⊷⫓≴∭⊉32564=≴∭⊉-251","layer":1},{"info":"NaN↤⩊≴∭⊉-251=NaN","layer":0}]}
+{"id":406,"expression_no_base_symbol":"$2406$≳⇉$4318$∙⊟($1596$/$1987$)","expression":"≴∭⊉10005≳⇉≴∭⊉15406∙⊟(≴∭⊉4440/≴∭⊉5536)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":184478681,"operation_count":3,"complexity_ratio":61492893.666666664,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2406,"base":7},"right_expr":{"type":"numeric_atoms","value":4318,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1596,"base":7},"right_expr":{"type":"numeric_atoms","value":1987,"base":7}}},"used_operators":["SxTAKzQCrw","V0kx6qeWkN","XhwjNDsVaA"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2406","layer":2},{"info":"number node, value=4318","layer":2},{"info":"compute binary expreesion, left_input=2406, right_input=4318, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=1596","layer":2},{"info":"number node, value=1987","layer":2},{"info":"compute binary expreesion, left_input=1596, right_input=1987, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10005≳⇉≴∭⊉15406∙⊟(≴∭⊉4440/≴∭⊉5536)=NaN","reverse_text":"NaN=≴∭⊉10005≳⇉≴∭⊉15406∙⊟(≴∭⊉4440/≴∭⊉5536)","cot":[{"info":"≴∭⊉10005≳⇉≴∭⊉15406=NaN","layer":1},{"info":"≴∭⊉4440/≴∭⊉5536=≴∭⊉0","layer":1},{"info":"NaN∙⊟≴∭⊉0=NaN","layer":0}]}
+{"id":407,"expression_no_base_symbol":"$1652$⊋$2894$⪁($5360$⋫)","expression":"≴∭⊉4550⊋≴∭⊉11303⪁(≴∭⊉21425⋫)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13192,"operation_count":3,"complexity_ratio":4397.333333333333,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1652,"base":7},"right_expr":{"type":"numeric_atoms","value":2894,"base":7}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5360,"base":7}}},"used_operators":["I7sXao9hZE","W4tP9CfskL","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":2},{"info":"number node, value=2894","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=2894, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-27077124","layer":1},{"info":"number node, value=5360","layer":2},{"info":"compute unary expreesion, input=5360, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5360","layer":1},{"info":"compute binary expreesion, left_input=-27077124, right_input=5360, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4550⊋≴∭⊉11303⪁(≴∭⊉21425⋫)=NaN","reverse_text":"NaN=≴∭⊉4550⊋≴∭⊉11303⪁(≴∭⊉21425⋫)","cot":[{"info":"≴∭⊉4550⊋≴∭⊉11303=≴∭⊉-446103024","layer":1},{"info":"≴∭⊉21425⋫=≴∭⊉21425","layer":1},{"info":"≴∭⊉-446103024⪁≴∭⊉21425=NaN","layer":0}]}
+{"id":408,"expression_no_base_symbol":"($3635$⫚↹⊑$1463$)⨳⩥⨓($2758$⪠⩆⊳)","expression":"(≴∭⊉13412⫚↹⊑≴∭⊉4160)⨳⩥⨓(≴∭⊉11020⪠⩆⊳)","highest_n_order":1,"priority_hierarchical_complexity":3,"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":3635,"base":7},"right_expr":{"type":"numeric_atoms","value":1463,"base":7}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2758,"base":7}}},"used_operators":["nCS4ZIUYfx","dfKe02y8D2","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉1206","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3635","layer":2},{"info":"number node, value=1463","layer":2},{"info":"compute binary expreesion, left_input=3635, right_input=1463, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2758","layer":2},{"info":"compute unary expreesion, input=2758, 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=-447, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=447","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13412⫚↹⊑≴∭⊉4160)⨳⩥⨓(≴∭⊉11020⪠⩆⊳)=≴∭⊉1206","reverse_text":"≴∭⊉1206=(≴∭⊉13412⫚↹⊑≴∭⊉4160)⨳⩥⨓(≴∭⊉11020⪠⩆⊳)","cot":[{"info":"≴∭⊉13412⫚↹⊑≴∭⊉4160=≴∭⊉-1206","layer":1},{"info":"≴∭⊉11020⪠⩆⊳=≴∭⊉0","layer":1},{"info":"≴∭⊉-1206⨳⩥⨓≴∭⊉0=≴∭⊉1206","layer":0}]}
+{"id":409,"expression_no_base_symbol":"($1541$⊭↱$3408$)⊋≦⊧$8555$⪚$1346$","expression":"(≴∭⊉4331⊭↱≴∭⊉12636)⊋≦⊧≴∭⊉33641⪚≴∭⊉3632","highest_n_order":1,"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":1541,"base":7},"right_expr":{"type":"numeric_atoms","value":3408,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":8555,"base":7},"right_expr":{"type":"numeric_atoms","value":1346,"base":7}}},"used_operators":["oRDoc9rAEX","COABgblf1C","HrjLwUk87U"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≴∭⊉-102125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"number node, value=3408","layer":2},{"info":"compute binary expreesion, left_input=1541, right_input=3408, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3739","layer":1},{"info":"number node, value=8555","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=8555, right_input=1346, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=14062","layer":1},{"info":"compute binary expreesion, left_input=3739, right_input=14062, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-17561","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4331⊭↱≴∭⊉12636)⊋≦⊧≴∭⊉33641⪚≴∭⊉3632=≴∭⊉-102125","reverse_text":"≴∭⊉-102125=(≴∭⊉4331⊭↱≴∭⊉12636)⊋≦⊧≴∭⊉33641⪚≴∭⊉3632","cot":[{"info":"≴∭⊉4331⊭↱≴∭⊉12636=≴∭⊉13621","layer":1},{"info":"≴∭⊉33641⪚≴∭⊉3632=≴∭⊉55666","layer":1},{"info":"≴∭⊉13621⊋≦⊧≴∭⊉55666=≴∭⊉-102125","layer":0}]}
+{"id":410,"expression_no_base_symbol":"($3588$⪁$1396$)≚⊃≕($1479$⋣⋖$4097$)","expression":"(≴∭⊉13314⪁≴∭⊉4033)≚⊃≕(≴∭⊉4212⋣⋖≴∭⊉14642)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19556575,"operation_count":3,"complexity_ratio":6518858.333333333,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3588,"base":7},"right_expr":{"type":"numeric_atoms","value":1396,"base":7}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1479,"base":7},"right_expr":{"type":"numeric_atoms","value":4097,"base":7}}},"used_operators":["Bmrmz2XGnR","I7sXao9hZE","J0M6qkBnIM"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3588","layer":2},{"info":"number node, value=1396","layer":2},{"info":"compute binary expreesion, left_input=3588, right_input=1396, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1479","layer":2},{"info":"number node, value=4097","layer":2},{"info":"compute binary expreesion, left_input=1479, right_input=4097, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1479","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1479, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13314⪁≴∭⊉4033)≚⊃≕(≴∭⊉4212⋣⋖≴∭⊉14642)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉13314⪁≴∭⊉4033)≚⊃≕(≴∭⊉4212⋣⋖≴∭⊉14642)","cot":[{"info":"≴∭⊉13314⪁≴∭⊉4033=NaN","layer":1},{"info":"≴∭⊉4212⋣⋖≴∭⊉14642=≴∭⊉4212","layer":1},{"info":"NaN≚⊃≕≴∭⊉4212=≴∭⊉124","layer":0}]}
+{"id":411,"expression_no_base_symbol":"($1169$⫃⨇$1619$)≦↸($4415$⪒$6402$)","expression":"(≴∭⊉3260⫃⨇≴∭⊉4502)≦↸(≴∭⊉15605⪒≴∭⊉24444)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1169,"base":7},"right_expr":{"type":"numeric_atoms","value":1619,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4415,"base":7},"right_expr":{"type":"numeric_atoms","value":6402,"base":7}}},"used_operators":["RygbFNSyEJ","09Ly4LVMIf","f6k1SAg4EE"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉26650","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":2},{"info":"number node, value=1619","layer":2},{"info":"compute binary expreesion, left_input=1169, right_input=1619, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6508","layer":1},{"info":"number node, value=4415","layer":2},{"info":"number node, value=6402","layer":2},{"info":"compute binary expreesion, left_input=4415, right_input=6402, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10817","layer":1},{"info":"compute binary expreesion, left_input=-6508, right_input=-10817, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=7189","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3260⫃⨇≴∭⊉4502)≦↸(≴∭⊉15605⪒≴∭⊉24444)=≴∭⊉26650","reverse_text":"≴∭⊉26650=(≴∭⊉3260⫃⨇≴∭⊉4502)≦↸(≴∭⊉15605⪒≴∭⊉24444)","cot":[{"info":"≴∭⊉3260⫃⨇≴∭⊉4502=≴∭⊉-24655","layer":1},{"info":"≴∭⊉15605⪒≴∭⊉24444=≴∭⊉-43352","layer":1},{"info":"≴∭⊉-24655≦↸≴∭⊉-43352=≴∭⊉26650","layer":0}]}
+{"id":412,"expression_no_base_symbol":"($3565$∲⫓$1640$)⨀⨒","expression":"(≴∭⊉13252∲⫓≴∭⊉4532)⨀⨒","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":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3565,"base":7},"right_expr":{"type":"numeric_atoms","value":1640,"base":7}}},"used_operators":["j6NVkjMzuk","i8ToyICDmI"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-6666","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3565","layer":2},{"info":"number node, value=1640","layer":2},{"info":"compute binary expreesion, left_input=3565, right_input=1640, 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 = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13252∲⫓≴∭⊉4532)⨀⨒=≴∭⊉-6666","reverse_text":"≴∭⊉-6666=(≴∭⊉13252∲⫓≴∭⊉4532)⨀⨒","cot":[{"info":"≴∭⊉13252∲⫓≴∭⊉4532=≴∭⊉0","layer":1},{"info":"≴∭⊉0⨀⨒=≴∭⊉-6666","layer":0}]}
+{"id":413,"expression_no_base_symbol":"$5992$⇌⫙⪟$3668$∖$3555$⋛$3664$","expression":"≴∭⊉23320⇌⫙⪟≴∭⊉13460∖≴∭⊉13236⋛≴∭⊉13453","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13770,"operation_count":3,"complexity_ratio":4590.0,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5992,"base":7},"right_expr":{"type":"numeric_atoms","value":3668,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3555,"base":7},"right_expr":{"type":"numeric_atoms","value":3664,"base":7}}},"used_operators":["tXD093vOjl","AFVx7xoS7T","YbUVn0Rbpy"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉6","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5992","layer":2},{"info":"number node, value=3668","layer":2},{"info":"compute binary expreesion, left_input=5992, right_input=3668, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"number node, value=3555","layer":2},{"info":"number node, value=3664","layer":2},{"info":"compute binary expreesion, left_input=3555, right_input=3664, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-100197","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-100197, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23320⇌⫙⪟≴∭⊉13460∖≴∭⊉13236⋛≴∭⊉13453=≴∭⊉6","reverse_text":"≴∭⊉6=≴∭⊉23320⇌⫙⪟≴∭⊉13460∖≴∭⊉13236⋛≴∭⊉13453","cot":[{"info":"≴∭⊉23320⇌⫙⪟≴∭⊉13460=≴∭⊉221","layer":1},{"info":"≴∭⊉13236⋛≴∭⊉13453=≴∭⊉-565056","layer":1},{"info":"≴∭⊉221∖≴∭⊉-565056=≴∭⊉6","layer":0}]}
+{"id":414,"expression_no_base_symbol":"$2409$⊾⪯⋞$5838$↱(⪸$6966$)","expression":"≴∭⊉10011⊾⪯⋞≴∭⊉23010↱(⪸≴∭⊉26211)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":136,"operation_count":3,"complexity_ratio":45.333333333333336,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2409,"base":7},"right_expr":{"type":"numeric_atoms","value":5838,"base":7}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6966,"base":7}}},"used_operators":["SR5kFfdi6N","HK0tfVPux8","86A5ENbKR9"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉-10623341","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":2},{"info":"number node, value=5838","layer":2},{"info":"compute binary expreesion, left_input=2409, right_input=5838, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11250","layer":1},{"info":"number node, value=6966","layer":2},{"info":"compute unary expreesion, input=6966, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-118213","layer":1},{"info":"compute binary expreesion, left_input=11250, right_input=-118213, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-930392","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10011⊾⪯⋞≴∭⊉23010↱(⪸≴∭⊉26211)=≴∭⊉-10623341","reverse_text":"≴∭⊉-10623341=≴∭⊉10011⊾⪯⋞≴∭⊉23010↱(⪸≴∭⊉26211)","cot":[{"info":"≴∭⊉10011⊾⪯⋞≴∭⊉23010=≴∭⊉44541","layer":1},{"info":"⪸≴∭⊉26211=≴∭⊉-1001434","layer":1},{"info":"≴∭⊉44541↱≴∭⊉-1001434=≴∭⊉-10623341","layer":0}]}
+{"id":415,"expression_no_base_symbol":"$2281$⩒⫫$2200$⨶","expression":"≴∭⊉6436⩒⫫≴∭⊉6262⨶","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2281,"base":7},"right_expr":{"type":"numeric_atoms","value":2200,"base":7}}},"used_operators":["rFxw8gIMmB","KFSx94NKJn"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉6310","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2281","layer":2},{"info":"number node, value=2200","layer":2},{"info":"compute binary expreesion, left_input=2281, right_input=2200, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1979","layer":1},{"info":"compute unary expreesion, input=1979, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2212","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6436⩒⫫≴∭⊉6262⨶=≴∭⊉6310","reverse_text":"≴∭⊉6310=≴∭⊉6436⩒⫫≴∭⊉6262⨶","cot":[{"info":"≴∭⊉6436⩒⫫≴∭⊉6262=≴∭⊉5525","layer":1},{"info":"≴∭⊉5525⨶=≴∭⊉6310","layer":0}]}
+{"id":416,"expression_no_base_symbol":"⪁⇼($3107$⪕$1401$)","expression":"⪁⇼(≴∭⊉12026⪕≴∭⊉4041)","highest_n_order":1,"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":3107,"base":7},"right_expr":{"type":"numeric_atoms","value":1401,"base":7}}},"used_operators":["ZNVVrZ94lY","umQnsF7QlU"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉1142","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3107","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=3107, right_input=1401, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5714","layer":1},{"info":"compute unary expreesion, input=5714, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":7,"result_base":7,"text":"⪁⇼(≴∭⊉12026⪕≴∭⊉4041)=≴∭⊉1142","reverse_text":"≴∭⊉1142=⪁⇼(≴∭⊉12026⪕≴∭⊉4041)","cot":[{"info":"≴∭⊉12026⪕≴∭⊉4041=≴∭⊉22442","layer":1},{"info":"⪁⇼≴∭⊉22442=≴∭⊉1142","layer":0}]}
+{"id":417,"expression_no_base_symbol":"(⨆≐≲$3021$)↳∿⪆$2492$⇤$1254$","expression":"(⨆≐≲≴∭⊉11544)↳∿⪆≴∭⊉10160⇤≴∭⊉3441","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2810,"operation_count":3,"complexity_ratio":936.6666666666666,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3021,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2492,"base":7},"right_expr":{"type":"numeric_atoms","value":1254,"base":7}}},"used_operators":["Cw4SuJJGHO","Bi9z9uYZqW","YSKBFp38Pu"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3021","layer":2},{"info":"compute unary expreesion, input=3021, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=32728344","layer":1},{"info":"number node, value=2492","layer":2},{"info":"number node, value=1254","layer":2},{"info":"compute binary expreesion, left_input=2492, right_input=1254, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-15882","layer":1},{"info":"compute binary expreesion, left_input=32728344, right_input=-15882, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨆≐≲≴∭⊉11544)↳∿⪆≴∭⊉10160⇤≴∭⊉3441=NaN","reverse_text":"NaN=(⨆≐≲≴∭⊉11544)↳∿⪆≴∭⊉10160⇤≴∭⊉3441","cot":[{"info":"⨆≐≲≴∭⊉11544=≴∭⊉545120625","layer":1},{"info":"≴∭⊉10160⇤≴∭⊉3441=≴∭⊉-64206","layer":1},{"info":"≴∭⊉545120625↳∿⪆≴∭⊉-64206=NaN","layer":0}]}
+{"id":418,"expression_no_base_symbol":"↨⩢⫨$3752$⫁$1156$","expression":"↨⩢⫨≴∭⊉13640⫁≴∭⊉3241","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":163,"operation_count":2,"complexity_ratio":81.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3752,"base":7},"right_expr":{"type":"numeric_atoms","value":1156,"base":7}}},"used_operators":["Z5CJsN7DuW","0ajvFaJAv0"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3752","layer":2},{"info":"number node, value=1156","layer":2},{"info":"compute binary expreesion, left_input=3752, right_input=1156, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":7,"result_base":7,"text":"↨⩢⫨≴∭⊉13640⫁≴∭⊉3241=≴∭⊉0","reverse_text":"≴∭⊉0=↨⩢⫨≴∭⊉13640⫁≴∭⊉3241","cot":[{"info":"≴∭⊉13640⫁≴∭⊉3241=≴∭⊉316","layer":1},{"info":"↨⩢⫨≴∭⊉316=≴∭⊉0","layer":0}]}
+{"id":419,"expression_no_base_symbol":"$7539$⊉↱≁$7990$∙∹∝(∑⇻≧$7234$)","expression":"≴∭⊉30660⊉↱≁≴∭⊉32203∙∹∝(∑⇻≧≴∭⊉30043)","highest_n_order":1,"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":7539,"base":7},"right_expr":{"type":"numeric_atoms","value":7990,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7234,"base":7}}},"used_operators":["HmxsFra2vL","w2P8NbNXyL","l1M9WJ3V7u"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7539","layer":2},{"info":"number node, value=7990","layer":2},{"info":"compute binary expreesion, left_input=7539, right_input=7990, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=26336","layer":1},{"info":"number node, value=7234","layer":2},{"info":"compute unary expreesion, input=7234, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=26336, right_input=-852, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉30660⊉↱≁≴∭⊉32203∙∹∝(∑⇻≧≴∭⊉30043)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉30660⊉↱≁≴∭⊉32203∙∹∝(∑⇻≧≴∭⊉30043)","cot":[{"info":"≴∭⊉30660⊉↱≁≴∭⊉32203=≴∭⊉136532","layer":1},{"info":"∑⇻≧≴∭⊉30043=≴∭⊉-2325","layer":1},{"info":"≴∭⊉136532∙∹∝≴∭⊉-2325=≴∭⊉0","layer":0}]}
+{"id":420,"expression_no_base_symbol":"≇⪴$1763$⨔⇊$1240$","expression":"≇⪴≴∭⊉5066⨔⇊≴∭⊉3421","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":1763,"base":7},"right_expr":{"type":"numeric_atoms","value":1240,"base":7}}},"used_operators":["zoVPnxeHJ3","JclMnS0uGI"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉-6640","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":2},{"info":"number node, value=1240","layer":2},{"info":"compute binary expreesion, left_input=1763, right_input=1240, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1240","layer":1},{"info":"compute unary expreesion, input=1240, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2380","layer":0}],"base":7,"result_base":7,"text":"≇⪴≴∭⊉5066⨔⇊≴∭⊉3421=≴∭⊉-6640","reverse_text":"≴∭⊉-6640=≇⪴≴∭⊉5066⨔⇊≴∭⊉3421","cot":[{"info":"≴∭⊉5066⨔⇊≴∭⊉3421=≴∭⊉3421","layer":1},{"info":"≇⪴≴∭⊉3421=≴∭⊉-6640","layer":0}]}
+{"id":421,"expression_no_base_symbol":"($4969$⪘⫢$5341$)⫞⩸⩒(↨⩢⫨$3347$)","expression":"(≴∭⊉20326⪘⫢≴∭⊉21400)⫞⩸⩒(↨⩢⫨≴∭⊉12521)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4969,"base":7},"right_expr":{"type":"numeric_atoms","value":5341,"base":7}},"right_expr":{"type":"unary","operator":"↨⩢��","unary_expr":{"type":"numeric_atoms","value":3347,"base":7}}},"used_operators":["XGcMNugi78","oacrs7FA3X","Z5CJsN7DuW"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"≴∭⊉40420","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4969","layer":2},{"info":"number node, value=5341","layer":2},{"info":"compute binary expreesion, left_input=4969, right_input=5341, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9814","layer":1},{"info":"number node, value=3347","layer":2},{"info":"compute unary expreesion, input=3347, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9814, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=9814","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20326⪘⫢≴∭⊉21400)⫞⩸⩒(↨⩢⫨≴∭⊉12521)=≴∭⊉40420","reverse_text":"≴∭⊉40420=(≴∭⊉20326⪘⫢≴∭⊉21400)⫞⩸⩒(↨⩢⫨≴∭⊉12521)","cot":[{"info":"≴∭⊉20326⪘⫢≴∭⊉21400=≴∭⊉40420","layer":1},{"info":"↨⩢⫨≴∭⊉12521=≴∭⊉0","layer":1},{"info":"≴∭⊉40420⫞⩸⩒≴∭⊉0=≴∭⊉40420","layer":0}]}
+{"id":422,"expression_no_base_symbol":"$2294$≴⪞⇿$1042$⨎$5195$⩁⩘$1104$","expression":"≴∭⊉6455≴⪞⇿≴∭⊉3016⨎≴∭⊉21101⩁⩘≴∭⊉3135","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2078,"operation_count":3,"complexity_ratio":692.6666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2294,"base":7},"right_expr":{"type":"numeric_atoms","value":1042,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5195,"base":7},"right_expr":{"type":"numeric_atoms","value":1104,"base":7}}},"used_operators":["rJVOvQCfKK","lvlrscuwVU","gub5Cegaqo"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉21432","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":2},{"info":"number node, value=1042","layer":2},{"info":"compute binary expreesion, left_input=2294, right_input=1042, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=8169116","layer":1},{"info":"number node, value=5195","layer":2},{"info":"number node, value=1104","layer":2},{"info":"compute binary expreesion, left_input=5195, right_input=1104, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5364","layer":1},{"info":"compute binary expreesion, left_input=8169116, right_input=5364, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5364","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6455≴⪞⇿≴∭⊉3016⨎≴∭⊉21101⩁⩘≴∭⊉3135=≴∭⊉21432","reverse_text":"≴∭⊉21432=≴∭⊉6455≴⪞⇿≴∭⊉3016⨎≴∭⊉21101⩁⩘≴∭⊉3135","cot":[{"info":"≴∭⊉6455≴⪞⇿≴∭⊉3016=≴∭⊉126302444","layer":1},{"info":"≴∭⊉21101⩁⩘≴∭⊉3135=≴∭⊉21432","layer":1},{"info":"≴∭⊉126302444⨎≴∭⊉21432=≴∭⊉21432","layer":0}]}
+{"id":423,"expression_no_base_symbol":"(⪹$1032$)⨚($3138$∑⇟⊟$6012$)","expression":"(⪹≴∭⊉3003)⨚(≴∭⊉12102∑⇟⊟≴∭⊉23346)","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":1032,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3138,"base":7},"right_expr":{"type":"numeric_atoms","value":6012,"base":7}}},"used_operators":["nREPSIbpBE","USyYr0JgAa","U7g4x0WXJJ"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","tifHPKVTfV","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":2},{"info":"compute unary expreesion, input=1032, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-852","layer":1},{"info":"number node, value=3138","layer":2},{"info":"number node, value=6012","layer":2},{"info":"compute binary expreesion, left_input=3138, right_input=6012, 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=-852, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪹≴∭⊉3003)⨚(≴∭⊉12102∑⇟⊟≴∭⊉23346)=NaN","reverse_text":"NaN=(⪹≴∭⊉3003)⨚(≴∭⊉12102∑⇟⊟≴∭⊉23346)","cot":[{"info":"⪹≴∭⊉3003=≴∭⊉-2325","layer":1},{"info":"≴∭⊉12102∑⇟⊟≴∭⊉23346=NaN","layer":1},{"info":"≴∭⊉-2325⨚NaN=NaN","layer":0}]}
+{"id":424,"expression_no_base_symbol":"$1975$⨸⪁$1163$⪒(⩩$4671$)","expression":"≴∭⊉5521⨸⪁≴∭⊉3251⪒(⩩≴∭⊉16422)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5613,"operation_count":3,"complexity_ratio":1871.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1975,"base":7},"right_expr":{"type":"numeric_atoms","value":1163,"base":7}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4671,"base":7}}},"used_operators":["f6k1SAg4EE","g55IO6H4Gj","kMhfGuqI2H"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1975","layer":2},{"info":"number node, value=1163","layer":2},{"info":"compute binary expreesion, left_input=1975, right_input=1163, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6276","layer":1},{"info":"number node, value=4671","layer":2},{"info":"compute unary expreesion, input=4671, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6276, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5521⨸⪁≴∭⊉3251⪒(⩩≴∭⊉16422)=NaN","reverse_text":"NaN=≴∭⊉5521⨸⪁≴∭⊉3251⪒(⩩≴∭⊉16422)","cot":[{"info":"≴∭⊉5521⨸⪁≴∭⊉3251=≴∭⊉24204","layer":1},{"info":"⩩≴∭⊉16422=NaN","layer":1},{"info":"≴∭⊉24204⪒NaN=NaN","layer":0}]}
+{"id":425,"expression_no_base_symbol":"(⋂$4812$)⨫⇇↔(⨮↦↱$1572$)","expression":"(⋂≴∭⊉20013)⨫⇇↔(⨮↦↱≴∭⊉4404)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1153,"operation_count":3,"complexity_ratio":384.3333333333333,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4812,"base":7}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1572,"base":7}}},"used_operators":["LXhwmt4mBO","BUOGQAYlQx","sYcpBQ0cFf"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4812","layer":2},{"info":"compute unary expreesion, input=4812, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-66772","layer":1},{"info":"number node, value=1572","layer":2},{"info":"compute unary expreesion, input=1572, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-3485682","layer":1},{"info":"compute binary expreesion, left_input=-66772, right_input=-3485682, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":7,"result_base":7,"text":"(⋂≴∭⊉20013)⨫⇇↔(⨮↦↱≴∭⊉4404)=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=(⋂≴∭⊉20013)⨫⇇↔(⨮↦↱≴∭⊉4404)","cot":[{"info":"⋂≴∭⊉20013=≴∭⊉-365446","layer":1},{"info":"⨮↦↱≴∭⊉4404=≴∭⊉-41425224","layer":1},{"info":"≴∭⊉-365446⨫⇇↔≴∭⊉-41425224=≴∭⊉-1352","layer":0}]}
+{"id":426,"expression_no_base_symbol":"($1399$≣⋋)↼⊘⨖($5299$⫸⊐$1371$)","expression":"(≴∭⊉4036≣⋋)↼⊘⨖(≴∭⊉21310⫸⊐≴∭⊉3666)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":544,"operation_count":3,"complexity_ratio":181.33333333333334,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1399,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5299,"base":7},"right_expr":{"type":"numeric_atoms","value":1371,"base":7}}},"used_operators":["bPywburJMS","Tcnh7f0tEr","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉42413","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1399","layer":2},{"info":"compute unary expreesion, input=1399, 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=5299","layer":2},{"info":"number node, value=1371","layer":2},{"info":"compute binary expreesion, left_input=5299, right_input=1371, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5359","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5359, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=10496","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4036≣⋋)↼⊘⨖(≴∭⊉21310⫸⊐≴∭⊉3666)=≴∭⊉42413","reverse_text":"≴∭⊉42413=(≴∭⊉4036≣⋋)↼⊘⨖(≴∭⊉21310⫸⊐≴∭⊉3666)","cot":[{"info":"≴∭⊉4036≣⋋=≴∭⊉0","layer":1},{"info":"≴∭⊉21310⫸⊐≴∭⊉3666=≴∭⊉21424","layer":1},{"info":"≴∭⊉0↼⊘⨖≴∭⊉21424=≴∭⊉42413","layer":0}]}
+{"id":427,"expression_no_base_symbol":"↡($6565$⋥⋵⩄$1649$)","expression":"↡(≴∭⊉25066⋥⋵⩄≴∭⊉4544)","highest_n_order":2,"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":6565,"base":7},"right_expr":{"type":"numeric_atoms","value":1649,"base":7}}},"used_operators":["MXaNJeIAZ3","7t3wd0Fuz7"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≴∭⊉2652","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6565","layer":2},{"info":"number node, value=1649","layer":2},{"info":"compute binary expreesion, left_input=6565, right_input=1649, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=1017","layer":0}],"base":7,"result_base":7,"text":"↡(≴∭⊉25066⋥⋵⩄≴∭⊉4544)=≴∭⊉2652","reverse_text":"≴∭⊉2652=↡(≴∭⊉25066⋥⋵⩄≴∭⊉4544)","cot":[{"info":"≴∭⊉25066⋥⋵⩄≴∭⊉4544=≴∭⊉221","layer":1},{"info":"↡≴∭⊉221=≴∭⊉2652","layer":0}]}
+{"id":428,"expression_no_base_symbol":"≇⪴$3985$⨔⇊$1362$","expression":"≇⪴≴∭⊉14422⨔⇊≴∭⊉3654","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":3985,"base":7},"right_expr":{"type":"numeric_atoms","value":1362,"base":7}}},"used_operators":["zoVPnxeHJ3","JclMnS0uGI"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉-11002","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3985","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=3985, right_input=1362, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1362","layer":1},{"info":"compute unary expreesion, input=1362, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2746","layer":0}],"base":7,"result_base":7,"text":"≇⪴≴∭⊉14422⨔⇊≴∭⊉3654=≴∭⊉-11002","reverse_text":"≴∭⊉-11002=≇⪴≴∭⊉14422⨔⇊≴∭⊉3654","cot":[{"info":"≴∭⊉14422⨔⇊≴∭⊉3654=≴∭⊉3654","layer":1},{"info":"≇⪴≴∭⊉3654=≴∭⊉-11002","layer":0}]}
+{"id":429,"expression_no_base_symbol":"⇉-⫰($1141$⋥≓≎$1105$)","expression":"⇉-⫰(≴∭⊉3220⋥≓≎≴∭⊉3136)","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":1141,"base":7},"right_expr":{"type":"numeric_atoms","value":1105,"base":7}}},"used_operators":["IGFM8TAlm9","Qy55tPpLXF"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1141","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=1141, right_input=1105, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1102","layer":1},{"info":"compute unary expreesion, input=1102, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰(≴∭⊉3220⋥≓≎≴∭⊉3136)=≴∭⊉26","reverse_text":"≴∭⊉26=⇉-⫰(≴∭⊉3220⋥≓≎≴∭⊉3136)","cot":[{"info":"≴∭⊉3220⋥≓≎≴∭⊉3136=≴∭⊉3133","layer":1},{"info":"⇉-⫰≴∭⊉3133=≴∭⊉26","layer":0}]}
+{"id":430,"expression_no_base_symbol":"$2242$⪍↜⋙$4905$⫲≸⪮(∜⨇$1404$)","expression":"≴∭⊉6352⪍↜⋙≴∭⊉20205⫲≸⪮(∜⨇≴∭⊉4044)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21879,"operation_count":3,"complexity_ratio":7293.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2242,"base":7},"right_expr":{"type":"numeric_atoms","value":4905,"base":7}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1404,"base":7}}},"used_operators":["P3lXMJvFrc","L05ObWFQCd","uFPyJr306J"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"≴∭⊉120365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2242","layer":2},{"info":"number node, value=4905","layer":2},{"info":"compute binary expreesion, left_input=2242, right_input=4905, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-21803","layer":1},{"info":"number node, value=1404","layer":2},{"info":"compute unary expreesion, input=1404, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21803, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=21803","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6352⪍↜⋙≴∭⊉20205⫲≸⪮(∜⨇≴∭⊉4044)=≴∭⊉120365","reverse_text":"≴∭⊉120365=≴∭⊉6352⪍↜⋙≴∭⊉20205⫲≸⪮(∜⨇≴∭⊉4044)","cot":[{"info":"≴∭⊉6352⪍↜⋙≴∭⊉20205=≴∭⊉-120365","layer":1},{"info":"∜⨇≴∭⊉4044=NaN","layer":1},{"info":"≴∭⊉-120365⫲≸⪮NaN=≴∭⊉120365","layer":0}]}
+{"id":431,"expression_no_base_symbol":"($8320$∷$1143$)≄⊠$2328$⊲⩕⊾$6247$","expression":"(≴∭⊉33154∷≴∭⊉3222)≄⊠≴∭⊉6534⊲⩕⊾≴∭⊉24133","highest_n_order":4,"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":8320,"base":7},"right_expr":{"type":"numeric_atoms","value":1143,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2328,"base":7},"right_expr":{"type":"numeric_atoms","value":6247,"base":7}}},"used_operators":["vXNesLlMH1","D3AQDKkPcf","DmTXOeWf9t"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8320","layer":2},{"info":"number node, value=1143","layer":2},{"info":"compute binary expreesion, left_input=8320, right_input=1143, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1143","layer":1},{"info":"number node, value=2328","layer":2},{"info":"number node, value=6247","layer":2},{"info":"compute binary expreesion, left_input=2328, right_input=6247, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-96348","layer":1},{"info":"compute binary expreesion, left_input=1143, right_input=-96348, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉33154∷≴∭⊉3222)≄⊠≴∭⊉6534⊲⩕⊾≴∭⊉24133=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉33154∷≴∭⊉3222)≄⊠≴∭⊉6534⊲⩕⊾≴∭⊉24133","cot":[{"info":"≴∭⊉33154∷≴∭⊉3222=≴∭⊉3222","layer":1},{"info":"≴∭⊉6534⊲⩕⊾≴∭⊉24133=≴∭⊉-550620","layer":1},{"info":"≴∭⊉3222≄⊠≴∭⊉-550620=≴∭⊉4242","layer":0}]}
+{"id":432,"expression_no_base_symbol":"($6813$∀⇚≩$1301$)↤⩊($6953$≬⋮$1070$)","expression":"(≴∭⊉25602∀⇚≩≴∭⊉3536)↤⩊(≴∭⊉26162≬⋮≴∭⊉3056)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47877,"operation_count":3,"complexity_ratio":15959.0,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6813,"base":7},"right_expr":{"type":"numeric_atoms","value":1301,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6953,"base":7},"right_expr":{"type":"numeric_atoms","value":1070,"base":7}}},"used_operators":["13rbtpv6ld","LRNGc0VcxI","kbkesczE7y"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6813","layer":2},{"info":"number node, value=1301","layer":2},{"info":"compute binary expreesion, left_input=6813, right_input=1301, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6953","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=6953, right_input=1070, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25602∀⇚≩≴∭⊉3536)↤⩊(≴∭⊉26162≬⋮≴∭⊉3056)=NaN","reverse_text":"NaN=(≴∭⊉25602∀⇚≩≴∭⊉3536)↤⩊(≴∭⊉26162≬⋮≴∭⊉3056)","cot":[{"info":"≴∭⊉25602∀⇚≩≴∭⊉3536=NaN","layer":1},{"info":"≴∭⊉26162≬⋮≴∭⊉3056=≴∭⊉2350","layer":1},{"info":"NaN↤⩊≴∭⊉2350=NaN","layer":0}]}
+{"id":433,"expression_no_base_symbol":"⩒∊($1981$⨽$5755$)","expression":"⩒∊(≴∭⊉5530⨽≴∭⊉22531)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2001,"operation_count":2,"complexity_ratio":1000.5,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1981,"base":7},"right_expr":{"type":"numeric_atoms","value":5755,"base":7}}},"used_operators":["qazvmhNBbN","8HhzD0ZcuI"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≴∭⊉-606424540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":2},{"info":"number node, value=5755","layer":2},{"info":"compute binary expreesion, left_input=1981, right_input=5755, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11789034","layer":1},{"info":"compute unary expreesion, input=-11789034, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-35368375","layer":0}],"base":7,"result_base":7,"text":"⩒∊(≴∭⊉5530⨽≴∭⊉22531)=≴∭⊉-606424540","reverse_text":"≴∭⊉-606424540=⩒∊(≴∭⊉5530⨽≴∭⊉22531)","cot":[{"info":"≴∭⊉5530⨽≴∭⊉22531=≴∭⊉-202130235","layer":1},{"info":"⩒∊≴∭⊉-202130235=≴∭⊉-606424540","layer":0}]}
+{"id":434,"expression_no_base_symbol":"($1367$∺≝⩲$3971$)⇡⇂($3109$∊∟⩊$1567$)","expression":"(≴∭⊉3662∺≝⩲≴∭⊉14402)⇡⇂(≴∭⊉12031∊∟⩊≴∭⊉4366)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34321,"operation_count":3,"complexity_ratio":11440.333333333334,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1367,"base":7},"right_expr":{"type":"numeric_atoms","value":3971,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3109,"base":7},"right_expr":{"type":"numeric_atoms","value":1567,"base":7}}},"used_operators":["UMwdvZNt44","KPf6cnQVty","ddLRYrp01A"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"≴∭⊉-322","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1367","layer":2},{"info":"number node, value=3971","layer":2},{"info":"compute binary expreesion, left_input=1367, right_input=3971, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=3109","layer":2},{"info":"number node, value=1567","layer":2},{"info":"compute binary expreesion, left_input=3109, right_input=1567, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1567","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1567, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-163","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3662∺≝⩲≴∭⊉14402)⇡⇂(≴∭⊉12031∊∟⩊≴∭⊉4366)=≴∭⊉-322","reverse_text":"≴∭⊉-322=(≴∭⊉3662∺≝⩲≴∭⊉14402)⇡⇂(≴∭⊉12031∊∟⩊≴∭⊉4366)","cot":[{"info":"≴∭⊉3662∺≝⩲≴∭⊉14402=≴∭⊉316","layer":1},{"info":"≴∭⊉12031∊∟⩊≴∭⊉4366=≴∭⊉4366","layer":1},{"info":"≴∭⊉316⇡⇂≴∭⊉4366=≴∭⊉-322","layer":0}]}
+{"id":435,"expression_no_base_symbol":"(⋼∭⪍$7788$)∌$3813$⨑⩅≇$2808$","expression":"(⋼∭⪍≴∭⊉31464)∌≴∭⊉14055⨑⩅≇≴∭⊉11121","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2876,"operation_count":3,"complexity_ratio":958.6666666666666,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":7788,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3813,"base":7},"right_expr":{"type":"numeric_atoms","value":2808,"base":7}}},"used_operators":["8cLx32lpNA","DbCuESL50I","h92wMvzauj"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-151515","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7788","layer":2},{"info":"compute unary expreesion, input=7788, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-29412","layer":1},{"info":"number node, value=3813","layer":2},{"info":"number node, value=2808","layer":2},{"info":"compute binary expreesion, left_input=3813, right_input=2808, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11439","layer":1},{"info":"compute binary expreesion, left_input=-29412, right_input=-11439, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-29412","layer":0}],"base":7,"result_base":7,"text":"(⋼∭⪍≴∭⊉31464)∌≴∭⊉14055⨑⩅≇≴∭⊉11121=≴∭⊉-151515","reverse_text":"≴∭⊉-151515=(⋼∭⪍≴∭⊉31464)∌≴∭⊉14055⨑⩅≇≴∭⊉11121","cot":[{"info":"⋼∭⪍≴∭⊉31464=≴∭⊉-151515","layer":1},{"info":"≴∭⊉14055⨑⩅≇≴∭⊉11121=≴∭⊉-45231","layer":1},{"info":"≴∭⊉-151515∌≴∭⊉-45231=≴∭⊉-151515","layer":0}]}
+{"id":436,"expression_no_base_symbol":"($4747$≎⪠$1448$)≁↽≥($4408$⋛$3087$)","expression":"(≴∭⊉16561≎⪠≴∭⊉4136)≁↽≥(≴∭⊉15565⋛≴∭⊉12000)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":111921,"operation_count":3,"complexity_ratio":37307.0,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4747,"base":7},"right_expr":{"type":"numeric_atoms","value":1448,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":4408,"base":7},"right_expr":{"type":"numeric_atoms","value":3087,"base":7}}},"used_operators":["ncHt1X6cMc","aNhz54LH3e","YbUVn0Rbpy"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4747","layer":2},{"info":"number node, value=1448","layer":2},{"info":"compute binary expreesion, left_input=4747, right_input=1448, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=4408","layer":2},{"info":"number node, value=3087","layer":2},{"info":"compute binary expreesion, left_input=4408, right_input=3087, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-92520","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=-92520, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16561≎⪠≴∭⊉4136)≁↽≥(≴∭⊉15565⋛≴∭⊉12000)=≴∭⊉400","reverse_text":"≴∭⊉400=(≴∭⊉16561≎⪠≴∭⊉4136)≁↽≥(≴∭⊉15565⋛≴∭⊉12000)","cot":[{"info":"≴∭⊉16561≎⪠≴∭⊉4136=≴∭⊉111010","layer":1},{"info":"≴∭⊉15565⋛≴∭⊉12000=≴∭⊉-533511","layer":1},{"info":"≴∭⊉111010≁↽≥≴∭⊉-533511=≴∭⊉400","layer":0}]}
+{"id":437,"expression_no_base_symbol":"($4346$≭$1907$)⇌⫙⪟$1018$⩇∃⫛$1466$","expression":"(≴∭⊉15446≭≴∭⊉5363)⇌⫙⪟≴∭⊉2653⩇∃⫛≴∭⊉4163","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":4346,"base":7},"right_expr":{"type":"numeric_atoms","value":1907,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1018,"base":7},"right_expr":{"type":"numeric_atoms","value":1466,"base":7}}},"used_operators":["AFVx7xoS7T","rxpJgHHUmx","1aApVXNlOP"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4346","layer":2},{"info":"number node, value=1907","layer":2},{"info":"compute binary expreesion, left_input=4346, right_input=1907, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1018","layer":2},{"info":"number node, value=1466","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=1466, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=921","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=921, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15446≭≴∭⊉5363)⇌⫙⪟≴∭⊉2653⩇∃⫛≴∭⊉4163=NaN","reverse_text":"NaN=(≴∭⊉15446≭≴∭⊉5363)⇌⫙⪟≴∭⊉2653⩇∃⫛≴∭⊉4163","cot":[{"info":"≴∭⊉15446≭≴∭⊉5363=NaN","layer":1},{"info":"≴∭⊉2653⩇∃⫛≴∭⊉4163=≴∭⊉2454","layer":1},{"info":"NaN⇌⫙⪟≴∭⊉2454=NaN","layer":0}]}
+{"id":438,"expression_no_base_symbol":"(↨⩢⫨$1300$)∷$1182$⩼⇪↪$2938$","expression":"(↨⩢⫨≴∭⊉3535)∷≴∭⊉3306⩼⇪↪≴∭⊉11365","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1300,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1182,"base":7},"right_expr":{"type":"numeric_atoms","value":2938,"base":7}}},"used_operators":["D3AQDKkPcf","Z5CJsN7DuW","ocnLzx9CaJ"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉-2213","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1300","layer":2},{"info":"compute unary expreesion, input=1300, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1182","layer":2},{"info":"number node, value=2938","layer":2},{"info":"compute binary expreesion, left_input=1182, right_input=2938, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-18985","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-18985, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":0}],"base":7,"result_base":7,"text":"(↨⩢⫨≴∭⊉3535)∷≴∭⊉3306⩼⇪↪≴∭⊉11365=≴∭⊉-2213","reverse_text":"≴∭⊉-2213=(↨⩢⫨≴∭⊉3535)∷≴∭⊉3306⩼⇪↪≴∭⊉11365","cot":[{"info":"↨⩢⫨≴∭⊉3535=≴∭⊉0","layer":1},{"info":"≴∭⊉3306⩼⇪↪≴∭⊉11365=≴∭⊉-106231","layer":1},{"info":"≴∭⊉0∷≴∭⊉-106231=≴∭⊉-2213","layer":0}]}
+{"id":439,"expression_no_base_symbol":"$5972$↳∿⪆$1875$⊴($1338$⊾⪯⋞$3188$)","expression":"≴∭⊉23261↳∿⪆≴∭⊉5316⊴(≴∭⊉3621⊾⪯⋞≴∭⊉12203)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8411,"operation_count":3,"complexity_ratio":2803.6666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5972,"base":7},"right_expr":{"type":"numeric_atoms","value":1875,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1338,"base":7},"right_expr":{"type":"numeric_atoms","value":3188,"base":7}}},"used_operators":["Nsiff2A1zJ","Cw4SuJJGHO","HK0tfVPux8"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5972","layer":2},{"info":"number node, value=1875","layer":2},{"info":"compute binary expreesion, left_input=5972, right_input=1875, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1338","layer":2},{"info":"number node, value=3188","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=3188, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5950","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5950, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23261↳∿⪆≴∭⊉5316⊴(≴∭⊉3621⊾⪯⋞≴∭⊉12203)=NaN","reverse_text":"NaN=≴∭⊉23261↳∿⪆≴∭⊉5316⊴(≴∭⊉3621⊾⪯⋞≴∭⊉12203)","cot":[{"info":"≴∭⊉23261↳∿⪆≴∭⊉5316=NaN","layer":1},{"info":"≴∭⊉3621⊾⪯⋞≴∭⊉12203=≴∭⊉23230","layer":1},{"info":"NaN⊴≴∭⊉23230=NaN","layer":0}]}
+{"id":440,"expression_no_base_symbol":"$1134$⩘$3427$⪹","expression":"≴∭⊉3210⩘≴∭⊉12664⪹","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":111,"operation_count":2,"complexity_ratio":55.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1134,"base":7},"right_expr":{"type":"numeric_atoms","value":3427,"base":7}}},"used_operators":["B3sABdIn96","cHh1gJQ2o6"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉20013","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1134","layer":2},{"info":"number node, value=3427","layer":2},{"info":"compute binary expreesion, left_input=1134, right_input=3427, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4812","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3210⩘≴∭⊉12664⪹=≴∭⊉20013","reverse_text":"≴∭⊉20013=≴∭⊉3210⩘≴∭⊉12664⪹","cot":[{"info":"≴∭⊉3210⩘≴∭⊉12664=≴∭⊉316","layer":1},{"info":"≴∭⊉316⪹=≴∭⊉20013","layer":0}]}
+{"id":441,"expression_no_base_symbol":"$1993$⨑⩅≇$1727$≦↸($4012$↳∿⪆$5291$)","expression":"≴∭⊉5545⨑⩅≇≴∭⊉5015≦↸(≴∭⊉14461↳∿⪆≴∭⊉21266)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4264,"operation_count":3,"complexity_ratio":1421.3333333333333,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1993,"base":7},"right_expr":{"type":"numeric_atoms","value":1727,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4012,"base":7},"right_expr":{"type":"numeric_atoms","value":5291,"base":7}}},"used_operators":["RygbFNSyEJ","h92wMvzauj","Cw4SuJJGHO"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1993","layer":2},{"info":"number node, value=1727","layer":2},{"info":"compute binary expreesion, left_input=1993, right_input=1727, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5979","layer":1},{"info":"number node, value=4012","layer":2},{"info":"number node, value=5291","layer":2},{"info":"compute binary expreesion, left_input=4012, right_input=5291, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5979, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5545⨑⩅≇≴∭⊉5015≦↸(≴∭⊉14461↳∿⪆≴∭⊉21266)=NaN","reverse_text":"NaN=≴∭⊉5545⨑⩅≇≴∭⊉5015≦↸(≴∭⊉14461↳∿⪆≴∭⊉21266)","cot":[{"info":"≴∭⊉5545⨑⩅≇≴∭⊉5015=≴∭⊉-23301","layer":1},{"info":"≴∭⊉14461↳∿⪆≴∭⊉21266=NaN","layer":1},{"info":"≴∭⊉-23301≦↸NaN=NaN","layer":0}]}
+{"id":442,"expression_no_base_symbol":"↓⇌($1124$⪚⩙≫)","expression":"↓⇌(≴∭⊉3164⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":1124,"base":7}}},"used_operators":["PxpmPgHHJV","4n53wtyJvv"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1124","layer":2},{"info":"compute unary expreesion, input=1124, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↓⇌(≴∭⊉3164⪚⩙≫)=NaN","reverse_text":"NaN=↓⇌(≴∭⊉3164⪚⩙≫)","cot":[{"info":"≴∭⊉3164⪚⩙≫=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]}
+{"id":443,"expression_no_base_symbol":"(∑⇻≧$1555$)∠⫱$3865$⋾⨃∁$6046$","expression":"(∑⇻≧≴∭⊉4351)∠⫱≴∭⊉14161⋾⨃∁≴∭⊉23425","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6089,"operation_count":3,"complexity_ratio":2029.6666666666667,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1555,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3865,"base":7},"right_expr":{"type":"numeric_atoms","value":6046,"base":7}}},"used_operators":["QvoQhV0rrE","l1M9WJ3V7u","212REbPD9h"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":2},{"info":"compute unary expreesion, input=1555, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=3865","layer":2},{"info":"number node, value=6046","layer":2},{"info":"compute binary expreesion, left_input=3865, right_input=6046, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=365468514","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=365468514, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(∑⇻≧≴∭⊉4351)∠⫱≴∭⊉14161⋾⨃∁≴∭⊉23425=≴∭⊉3412","reverse_text":"≴∭⊉3412=(∑⇻≧≴∭⊉4351)∠⫱≴∭⊉14161⋾⨃∁≴∭⊉23425","cot":[{"info":"∑⇻≧≴∭⊉4351=≴∭⊉-2325","layer":1},{"info":"≴∭⊉14161⋾⨃∁≴∭⊉23425=≴∭⊉12025300605","layer":1},{"info":"≴∭⊉-2325∠⫱≴∭⊉12025300605=≴∭⊉3412","layer":0}]}
+{"id":444,"expression_no_base_symbol":"$3068$∥⊢⊲$2787$∕⩚$2676$∼$6235$","expression":"≴∭⊉11642∥⊢⊲≴∭⊉11061∕⩚≴∭⊉10542∼≴∭⊉24115","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3068,"base":7},"right_expr":{"type":"numeric_atoms","value":2787,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2676,"base":7},"right_expr":{"type":"numeric_atoms","value":6235,"base":7}}},"used_operators":["z9ffQ9n5Zr","v1UQAVDJRr","DyGG3AbaNP"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","EBcxylXtPf","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3068","layer":2},{"info":"number node, value=2787","layer":2},{"info":"compute binary expreesion, left_input=3068, right_input=2787, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=2676","layer":2},{"info":"number node, value=6235","layer":2},{"info":"compute binary expreesion, left_input=2676, right_input=6235, 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 = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11642∥⊢⊲≴∭⊉11061∕⩚≴∭⊉10542∼≴∭⊉24115=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=≴∭⊉11642∥⊢⊲≴∭⊉11061∕⩚≴∭⊉10542∼≴∭⊉24115","cot":[{"info":"≴∭⊉11642∥⊢⊲≴∭⊉11061=NaN","layer":1},{"info":"≴∭⊉10542∼≴∭⊉24115=NaN","layer":1},{"info":"NaN∕⩚NaN=≴∭⊉-1264","layer":0}]}
+{"id":445,"expression_no_base_symbol":"($3040$∇⊂⋱$4050$)⋐⇩⊬","expression":"(≴∭⊉11602∇⊂⋱≴∭⊉14544)⋐⇩⊬","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3040,"base":7},"right_expr":{"type":"numeric_atoms","value":4050,"base":7}}},"used_operators":["JuuLT1NoCs","nhYeJWJD5X"],"dependent_operators":["mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉22064","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3040","layer":2},{"info":"number node, value=4050","layer":2},{"info":"compute binary expreesion, left_input=3040, right_input=4050, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5534","layer":1},{"info":"compute unary expreesion, input=5534, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5534","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11602∇⊂⋱≴∭⊉14544)⋐⇩⊬=≴∭⊉22064","reverse_text":"≴∭⊉22064=(≴∭⊉11602∇⊂⋱≴∭⊉14544)⋐⇩⊬","cot":[{"info":"≴∭⊉11602∇⊂⋱≴∭⊉14544=≴∭⊉22064","layer":1},{"info":"≴∭⊉22064⋐⇩⊬=≴∭⊉22064","layer":0}]}
+{"id":446,"expression_no_base_symbol":"(↓⇌$1992$)≹⇙⪍$9377$≴⪞⇿$2315$","expression":"(↓⇌≴∭⊉5544)≹⇙⪍≴∭⊉36224≴⪞⇿≴∭⊉6515","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9141,"operation_count":3,"complexity_ratio":3047.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1992,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":9377,"base":7},"right_expr":{"type":"numeric_atoms","value":2315,"base":7}}},"used_operators":["AHs5Up7iyr","PxpmPgHHJV","lvlrscuwVU"],"dependent_operators":["dWAJyo7jo9","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":2},{"info":"compute unary expreesion, input=1992, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1992","layer":1},{"info":"number node, value=9377","layer":2},{"info":"number node, value=2315","layer":2},{"info":"compute binary expreesion, left_input=9377, right_input=2315, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=165765866","layer":1},{"info":"compute binary expreesion, left_input=1992, right_input=165765866, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":7,"result_base":7,"text":"(↓⇌≴∭⊉5544)≹⇙⪍≴∭⊉36224≴⪞⇿≴∭⊉6515=NaN","reverse_text":"NaN=(↓⇌≴∭⊉5544)≹⇙⪍≴∭⊉36224≴⪞⇿≴∭⊉6515","cot":[{"info":"↓⇌≴∭⊉5544=≴∭⊉5544","layer":1},{"info":"≴∭⊉36224≴⪞⇿≴∭⊉6515=≴∭⊉4051662260","layer":1},{"info":"≴∭⊉5544≹⇙⪍≴∭⊉4051662260=NaN","layer":0}]}
+{"id":447,"expression_no_base_symbol":"$1545$∴$3400$⩢≌","expression":"≴∭⊉4335∴≴∭⊉12625⩢≌","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":241,"operation_count":2,"complexity_ratio":120.5,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1545,"base":7},"right_expr":{"type":"numeric_atoms","value":3400,"base":7}}},"used_operators":["D617RFjZIq","hrf7POJlIJ"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1545","layer":2},{"info":"number node, value=3400","layer":2},{"info":"compute binary expreesion, left_input=1545, right_input=3400, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4738","layer":1},{"info":"compute unary expreesion, input=4738, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4335∴≴∭⊉12625⩢≌=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉4335∴≴∭⊉12625⩢≌","cot":[{"info":"≴∭⊉4335∴≴∭⊉12625=≴∭⊉16546","layer":1},{"info":"≴∭⊉16546⩢≌=≴∭⊉221","layer":0}]}
+{"id":448,"expression_no_base_symbol":"⨈⫕$2046$≚⊃≕$1646$","expression":"⨈⫕≴∭⊉5652≚⊃≕≴∭⊉4541","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":405,"operation_count":2,"complexity_ratio":202.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2046,"base":7},"right_expr":{"type":"numeric_atoms","value":1646,"base":7}}},"used_operators":["megm06wKyl","Bmrmz2XGnR"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-30","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2046","layer":2},{"info":"number node, value=1646","layer":2},{"info":"compute binary expreesion, left_input=2046, right_input=1646, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, 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":7,"result_base":7,"text":"⨈⫕≴∭⊉5652≚⊃≕≴∭⊉4541=≴∭⊉-30","reverse_text":"≴∭⊉-30=⨈⫕≴∭⊉5652≚⊃≕≴∭⊉4541","cot":[{"info":"≴∭⊉5652≚⊃≕≴∭⊉4541=≴∭⊉124","layer":1},{"info":"⨈⫕≴∭⊉124=≴∭⊉-30","layer":0}]}
+{"id":449,"expression_no_base_symbol":"⇉-⫰($5682$⨵⪆$2100$)","expression":"⇉-⫰(≴∭⊉22365⨵⪆≴∭⊉6060)","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":5682,"base":7},"right_expr":{"type":"numeric_atoms","value":2100,"base":7}}},"used_operators":["IGFM8TAlm9","2DQ55sFlQl"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5682","layer":2},{"info":"number node, value=2100","layer":2},{"info":"compute binary expreesion, left_input=5682, right_input=2100, 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 = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰(≴∭⊉22365⨵⪆≴∭⊉6060)=≴∭⊉26","reverse_text":"≴∭⊉26=⇉-⫰(≴∭⊉22365⨵⪆≴∭⊉6060)","cot":[{"info":"≴∭⊉22365⨵⪆≴∭⊉6060=≴∭⊉316","layer":1},{"info":"⇉-⫰≴∭⊉316=≴∭⊉26","layer":0}]}
+{"id":450,"expression_no_base_symbol":"($2577$⪷)⨐$2326$⫁$2616$","expression":"(≴∭⊉10341⪷)⨐≴∭⊉6532⫁≴∭⊉10425","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2683,"operation_count":3,"complexity_ratio":894.3333333333334,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2577,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2326,"base":7},"right_expr":{"type":"numeric_atoms","value":2616,"base":7}}},"used_operators":["Noe24qw2ks","Qctrpi3WzA","0ajvFaJAv0"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Nsiff2A1zJ","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2577","layer":2},{"info":"compute unary expreesion, input=2577, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"number node, value=2326","layer":2},{"info":"number node, value=2616","layer":2},{"info":"compute binary expreesion, left_input=2326, right_input=2616, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10341⪷)⨐≴∭⊉6532⫁≴∭⊉10425=NaN","reverse_text":"NaN=(≴∭⊉10341⪷)⨐≴∭⊉6532⫁≴∭⊉10425","cot":[{"info":"≴∭⊉10341⪷=NaN","layer":1},{"info":"≴∭⊉6532⫁≴∭⊉10425=≴∭⊉316","layer":1},{"info":"NaN⨐≴∭⊉316=NaN","layer":0}]}
+{"id":451,"expression_no_base_symbol":"$3132$≝⊿$1125$⊢","expression":"≴∭⊉12063≝⊿≴∭⊉3165⊢","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3132,"base":7},"right_expr":{"type":"numeric_atoms","value":1125,"base":7}}},"used_operators":["40aOVDgCDB","OKKcZfAt5B"],"dependent_operators":["NTOWxs364D","12rbrZMWeM"],"result":"≴∭⊉-23150","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3132","layer":2},{"info":"number node, value=1125","layer":2},{"info":"compute binary expreesion, left_input=3132, right_input=1125, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5915","layer":1},{"info":"compute unary expreesion, input=-5915, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-5915","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12063≝⊿≴∭⊉3165⊢=≴∭⊉-23150","reverse_text":"≴∭⊉-23150=≴∭⊉12063≝⊿≴∭⊉3165⊢","cot":[{"info":"≴∭⊉12063≝⊿≴∭⊉3165=≴∭⊉-23150","layer":1},{"info":"≴∭⊉-23150⊢=≴∭⊉-23150","layer":0}]}
+{"id":452,"expression_no_base_symbol":"($6313$≦≮≮)⩨(∓$8271$)","expression":"(≴∭⊉24256≦≮≮)⩨(∓≴∭⊉33054)","highest_n_order":2,"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":6313,"base":7}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":8271,"base":7}}},"used_operators":["2DlMacCsIx","D4vGDi5EA2","OwUj7dcsQK"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-24","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6313","layer":2},{"info":"compute unary expreesion, input=6313, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18939","layer":1},{"info":"number node, value=8271","layer":2},{"info":"compute unary expreesion, input=8271, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-128937","layer":1},{"info":"compute binary expreesion, left_input=-18939, right_input=-128937, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24256≦≮≮)⩨(∓≴∭⊉33054)=≴∭⊉-24","reverse_text":"≴∭⊉-24=(≴∭⊉24256≦≮≮)⩨(∓≴∭⊉33054)","cot":[{"info":"≴∭⊉24256≦≮≮=≴∭⊉-106134","layer":1},{"info":"∓≴∭⊉33054=≴∭⊉-1044624","layer":1},{"info":"≴∭⊉-106134⩨≴∭⊉-1044624=≴∭⊉-24","layer":0}]}
+{"id":453,"expression_no_base_symbol":"⨆≐≲($3036$↹⊜$4973$)","expression":"⨆≐≲(≴∭⊉11565↹⊜≴∭⊉20333)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":137,"operation_count":2,"complexity_ratio":68.5,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3036,"base":7},"right_expr":{"type":"numeric_atoms","value":4973,"base":7}}},"used_operators":["Bi9z9uYZqW","9bazX3JMtO"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉-1301252","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3036","layer":2},{"info":"number node, value=4973","layer":2},{"info":"compute binary expreesion, left_input=3036, right_input=4973, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13916","layer":1},{"info":"compute unary expreesion, input=-13916, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":7,"result_base":7,"text":"⨆≐≲(≴∭⊉11565↹⊜≴∭⊉20333)=≴∭⊉-1301252","reverse_text":"≴∭⊉-1301252=⨆≐≲(≴∭⊉11565↹⊜≴∭⊉20333)","cot":[{"info":"≴∭⊉11565↹⊜≴∭⊉20333=≴∭⊉-55400","layer":1},{"info":"⨆≐≲≴∭⊉-55400=≴∭⊉-1301252","layer":0}]}
+{"id":454,"expression_no_base_symbol":"$1283$∙⊟$8779$⩨$8522$⨽∌$1855$","expression":"≴∭⊉3512∙⊟≴∭⊉34411⩨≴∭⊉33563⨽∌≴∭⊉5260","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1415,"operation_count":3,"complexity_ratio":471.6666666666667,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1283,"base":7},"right_expr":{"type":"numeric_atoms","value":8779,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":8522,"base":7},"right_expr":{"type":"numeric_atoms","value":1855,"base":7}}},"used_operators":["2DlMacCsIx","SxTAKzQCrw","9samAPKr6k"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1283","layer":2},{"info":"number node, value=8779","layer":2},{"info":"compute binary expreesion, left_input=1283, right_input=8779, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=26525","layer":1},{"info":"number node, value=8522","layer":2},{"info":"number node, value=1855","layer":2},{"info":"compute binary expreesion, left_input=8522, right_input=1855, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=26525, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3512∙⊟≴∭⊉34411⩨≴∭⊉33563⨽∌≴∭⊉5260=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉3512∙⊟≴∭⊉34411⩨≴∭⊉33563⨽∌≴∭⊉5260","cot":[{"info":"≴∭⊉3512∙⊟≴∭⊉34411=≴∭⊉140222","layer":1},{"info":"≴∭⊉33563⨽∌≴∭⊉5260=≴∭⊉0","layer":1},{"info":"≴∭⊉140222⩨≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":455,"expression_no_base_symbol":"($1039$⫉⨲⊜$3471$)↦","expression":"(≴∭⊉3013⫉⨲⊜≴∭⊉13056)↦","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":84,"operation_count":2,"complexity_ratio":42.0,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":3471,"base":7}}},"used_operators":["fFznvYxMfW","WhqkvtTD3t"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉-125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":2},{"info":"number node, value=3471","layer":2},{"info":"compute binary expreesion, left_input=1039, right_input=3471, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-68","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3013⫉⨲⊜≴∭⊉13056)↦=≴∭⊉-125","reverse_text":"≴∭⊉-125=(≴∭⊉3013⫉⨲⊜≴∭⊉13056)↦","cot":[{"info":"≴∭⊉3013⫉⨲⊜≴∭⊉13056=≴∭⊉0","layer":1},{"info":"≴∭⊉0↦=≴∭⊉-125","layer":0}]}
+{"id":456,"expression_no_base_symbol":"(↯⪼$9718$)↸$2008$⪭$4567$","expression":"(↯⪼≴∭⊉40222)↸≴∭⊉5566⪭≴∭⊉16213","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9718,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2008,"base":7},"right_expr":{"type":"numeric_atoms","value":4567,"base":7}}},"used_operators":["1eCjFl0mb9","8jW3W4yZS5","j9kHMeSvPp"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","COABgblf1C","xUOZtlo3hN"],"result":"≴∭⊉-30","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=9718","layer":2},{"info":"compute unary expreesion, input=9718, 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=2008","layer":2},{"info":"number node, value=4567","layer":2},{"info":"compute binary expreesion, left_input=2008, right_input=4567, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=5, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-21","layer":0}],"base":7,"result_base":7,"text":"(↯⪼≴∭⊉40222)↸≴∭⊉5566⪭≴∭⊉16213=≴∭⊉-30","reverse_text":"≴∭⊉-30=(↯⪼≴∭⊉40222)↸≴∭⊉5566⪭≴∭⊉16213","cot":[{"info":"↯⪼≴∭⊉40222=≴∭⊉-30","layer":1},{"info":"≴∭⊉5566⪭≴∭⊉16213=≴∭⊉5","layer":1},{"info":"≴∭⊉-30↸≴∭⊉5=≴∭⊉-30","layer":0}]}
+{"id":457,"expression_no_base_symbol":"($4789$⫦⪉$2273$)⪓⨏","expression":"(≴∭⊉16651⫦⪉≴∭⊉6425)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4867,"operation_count":2,"complexity_ratio":2433.5,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4789,"base":7},"right_expr":{"type":"numeric_atoms","value":2273,"base":7}}},"used_operators":["4X9JU4Jbn6","wscyQdcy20"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4789","layer":2},{"info":"number node, value=2273","layer":2},{"info":"compute binary expreesion, left_input=4789, right_input=2273, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4678","layer":1},{"info":"compute unary expreesion, input=-4678, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16651⫦⪉≴∭⊉6425)⪓⨏=NaN","reverse_text":"NaN=(≴∭⊉16651⫦⪉≴∭⊉6425)⪓⨏","cot":[{"info":"≴∭⊉16651⫦⪉≴∭⊉6425=≴∭⊉-16432","layer":1},{"info":"≴∭⊉-16432⪓⨏=NaN","layer":0}]}
+{"id":458,"expression_no_base_symbol":"($7540$⫳≱↱$7462$)⨐($4796$⫸⇳$7562$)","expression":"(≴∭⊉30661⫳≱↱≴∭⊉30520)⨐(≴∭⊉16661⫸⇳≴∭⊉31022)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323,"operation_count":3,"complexity_ratio":107.66666666666667,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":7540,"base":7},"right_expr":{"type":"numeric_atoms","value":7462,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4796,"base":7},"right_expr":{"type":"numeric_atoms","value":7562,"base":7}}},"used_operators":["Noe24qw2ks","ZvLB05nZmT","gx7XJ7hdpj"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉1122","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7540","layer":2},{"info":"number node, value=7462","layer":2},{"info":"compute binary expreesion, left_input=7540, right_input=7462, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=4796","layer":2},{"info":"number node, value=7562","layer":2},{"info":"compute binary expreesion, left_input=4796, right_input=7562, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=408","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉30661⫳≱↱≴∭⊉30520)⨐(≴∭⊉16661⫸⇳≴∭⊉31022)=≴∭⊉1122","reverse_text":"≴∭⊉1122=(≴∭⊉30661⫳≱↱≴∭⊉30520)⨐(≴∭⊉16661⫸⇳≴∭⊉31022)","cot":[{"info":"≴∭⊉30661⫳≱↱≴∭⊉30520=≴∭⊉-411","layer":1},{"info":"≴∭⊉16661⫸⇳≴∭⊉31022=≴∭⊉0","layer":1},{"info":"≴∭⊉-411⨐≴∭⊉0=≴∭⊉1122","layer":0}]}
+{"id":459,"expression_no_base_symbol":"($1337$⪣⫩)⋖∅⋲","expression":"(≴∭⊉3620⪣⫩)⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":176,"operation_count":2,"complexity_ratio":88.0,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1337,"base":7}}},"used_operators":["L95AwlJzhO","iuk5sVOGFA"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-3160131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":2},{"info":"compute unary expreesion, input=1337, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3978","layer":1},{"info":"compute unary expreesion, input=3978, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3620⪣⫩)⋖∅⋲=≴∭⊉-3160131","reverse_text":"≴∭⊉-3160131=(≴∭⊉3620⪣⫩)⋖∅⋲","cot":[{"info":"≴∭⊉3620⪣⫩=≴∭⊉14412","layer":1},{"info":"≴∭⊉14412⋖∅⋲=≴∭⊉-3160131","layer":0}]}
+{"id":460,"expression_no_base_symbol":"$3260$⩌⋺$6840$⪶≀⋏($8709$⪉⨛$1200$)","expression":"≴∭⊉12335⩌⋺≴∭⊉25641⪶≀⋏(≴∭⊉34251⪉⨛≴∭⊉3333)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3260,"base":7},"right_expr":{"type":"numeric_atoms","value":6840,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8709,"base":7},"right_expr":{"type":"numeric_atoms","value":1200,"base":7}}},"used_operators":["zR4jO40bMj","g7Hmc5v1ko","EWw2JM7wp4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≴∭⊉1465255","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3260","layer":2},{"info":"number node, value=6840","layer":2},{"info":"compute binary expreesion, left_input=3260, right_input=6840, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10221","layer":1},{"info":"number node, value=8709","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=8709, right_input=1200, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=25142","layer":1},{"info":"compute binary expreesion, left_input=-10221, right_input=25142, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=201136","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12335⩌⋺≴∭⊉25641⪶≀⋏(≴∭⊉34251⪉⨛≴∭⊉3333)=≴∭⊉1465255","reverse_text":"≴∭⊉1465255=≴∭⊉12335⩌⋺≴∭⊉25641⪶≀⋏(≴∭⊉34251⪉⨛≴∭⊉3333)","cot":[{"info":"≴∭⊉12335⩌⋺≴∭⊉25641=≴∭⊉-41541","layer":1},{"info":"≴∭⊉34251⪉⨛≴∭⊉3333=≴∭⊉133205","layer":1},{"info":"≴∭⊉-41541⪶≀⋏≴∭⊉133205=≴∭⊉1465255","layer":0}]}
+{"id":461,"expression_no_base_symbol":"$2149$⋭≵$2169$⫳≱↱$3443$∌$2487$","expression":"≴∭⊉6160⋭≵≴∭⊉6216⫳≱↱≴∭⊉13016∌≴∭⊉10152","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":366,"operation_count":3,"complexity_ratio":122.0,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2149,"base":7},"right_expr":{"type":"numeric_atoms","value":2169,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3443,"base":7},"right_expr":{"type":"numeric_atoms","value":2487,"base":7}}},"used_operators":["ZvLB05nZmT","jBncVCNhdl","8cLx32lpNA"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉-411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2149","layer":2},{"info":"number node, value=2169","layer":2},{"info":"compute binary expreesion, left_input=2149, right_input=2169, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=3443","layer":2},{"info":"number node, value=2487","layer":2},{"info":"compute binary expreesion, left_input=3443, right_input=2487, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2487","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-2487, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6160⋭≵≴∭⊉6216⫳≱↱≴∭⊉13016∌≴∭⊉10152=≴∭⊉-411","reverse_text":"≴∭⊉-411=≴∭⊉6160⋭≵≴∭⊉6216⫳≱↱≴∭⊉13016∌≴∭⊉10152","cot":[{"info":"≴∭⊉6160⋭≵≴∭⊉6216=≴∭⊉124","layer":1},{"info":"≴∭⊉13016∌≴∭⊉10152=≴∭⊉-10152","layer":1},{"info":"≴∭⊉124⫳≱↱≴∭⊉-10152=≴∭⊉-411","layer":0}]}
+{"id":462,"expression_no_base_symbol":"(⋣$6807$)⇌⫙⪟($1244$⫃⨇$1412$)","expression":"(⋣≴∭⊉25563)⇌⫙⪟(≴∭⊉3425⫃⨇≴∭⊉4055)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":204,"operation_count":3,"complexity_ratio":68.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":6807,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1244,"base":7},"right_expr":{"type":"numeric_atoms","value":1412,"base":7}}},"used_operators":["AFVx7xoS7T","zQWRhDnn8F","09Ly4LVMIf"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉46155331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6807","layer":2},{"info":"compute unary expreesion, input=6807, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2001163","layer":1},{"info":"number node, value=1244","layer":2},{"info":"number node, value=1412","layer":2},{"info":"compute binary expreesion, left_input=1244, right_input=1412, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5680","layer":1},{"info":"compute binary expreesion, left_input=-2001163, right_input=-5680, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=4030762","layer":0}],"base":7,"result_base":7,"text":"(⋣≴∭⊉25563)⇌⫙⪟(≴∭⊉3425⫃⨇≴∭⊉4055)=≴∭⊉46155331","reverse_text":"≴∭⊉46155331=(⋣≴∭⊉25563)⇌⫙⪟(≴∭⊉3425⫃⨇≴∭⊉4055)","cot":[{"info":"⋣≴∭⊉25563=≴∭⊉-23003203","layer":1},{"info":"≴∭⊉3425⫃⨇≴∭⊉4055=≴∭⊉-22363","layer":1},{"info":"≴∭⊉-23003203⇌⫙⪟≴∭⊉-22363=≴∭⊉46155331","layer":0}]}
+{"id":463,"expression_no_base_symbol":"$5711$⊔$4827$⫰⋱$1619$⊹∫⫚$1045$","expression":"≴∭⊉22436⊔≴∭⊉20034⫰⋱≴∭⊉4502⊹∫⫚≴∭⊉3022","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":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5711,"base":7},"right_expr":{"type":"numeric_atoms","value":4827,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1619,"base":7},"right_expr":{"type":"numeric_atoms","value":1045,"base":7}}},"used_operators":["6o9Blt3TJ6","E4l6HwMY31","uWAJUKEvyW"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉-165400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5711","layer":2},{"info":"number node, value=4827","layer":2},{"info":"compute binary expreesion, left_input=5711, right_input=4827, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33157","layer":1},{"info":"number node, value=1619","layer":2},{"info":"number node, value=1045","layer":2},{"info":"compute binary expreesion, left_input=1619, right_input=1045, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-176","layer":1},{"info":"compute binary expreesion, left_input=33157, right_input=-176, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-33124","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22436⊔≴∭⊉20034⫰⋱≴∭⊉4502⊹∫⫚≴∭⊉3022=≴∭⊉-165400","reverse_text":"≴∭⊉-165400=≴∭⊉22436⊔≴∭⊉20034⫰⋱≴∭⊉4502⊹∫⫚≴∭⊉3022","cot":[{"info":"≴∭⊉22436⊔≴∭⊉20034=≴∭⊉165445","layer":1},{"info":"≴∭⊉4502⊹∫⫚≴∭⊉3022=≴∭⊉-341","layer":1},{"info":"≴∭⊉165445⫰⋱≴∭⊉-341=≴∭⊉-165400","layer":0}]}
+{"id":464,"expression_no_base_symbol":"(⇈$5873$)⨒$5129$⨼⩣$1188$","expression":"(⇈≴∭⊉23060)⨒≴∭⊉20645⨼⩣≴∭⊉3315","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1411,"operation_count":3,"complexity_ratio":470.3333333333333,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5873,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":5129,"base":7},"right_expr":{"type":"numeric_atoms","value":1188,"base":7}}},"used_operators":["y75s1iXyHd","SLLxy00UIr","JxwMv5le6e"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5873","layer":2},{"info":"compute unary expreesion, input=5873, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=5129","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=5129, right_input=1188, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇈≴∭⊉23060)⨒≴∭⊉20645⨼⩣≴∭⊉3315=NaN","reverse_text":"NaN=(⇈≴∭⊉23060)⨒≴∭⊉20645⨼⩣≴∭⊉3315","cot":[{"info":"⇈≴∭⊉23060=≴∭⊉-1206","layer":1},{"info":"≴∭⊉20645⨼⩣≴∭⊉3315=NaN","layer":1},{"info":"≴∭⊉-1206⨒NaN=NaN","layer":0}]}
+{"id":465,"expression_no_base_symbol":"⫡⇟⇯$1515$⪃⊛⇣$1959$","expression":"⫡⇟⇯≴∭⊉4263⪃⊛⇣≴∭⊉5466","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":578,"operation_count":2,"complexity_ratio":289.0,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1515,"base":7},"right_expr":{"type":"numeric_atoms","value":1959,"base":7}}},"used_operators":["qWUSsah53b","rrgAzCduG9"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"≴∭⊉12504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":2},{"info":"number node, value=1959","layer":2},{"info":"compute binary expreesion, left_input=1515, right_input=1959, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3336","layer":0}],"base":7,"result_base":7,"text":"⫡⇟⇯≴∭⊉4263⪃⊛⇣≴∭⊉5466=≴∭⊉12504","reverse_text":"≴∭⊉12504=⫡⇟⇯≴∭⊉4263⪃⊛⇣≴∭⊉5466","cot":[{"info":"≴∭⊉4263⪃⊛⇣≴∭⊉5466=≴∭⊉3412","layer":1},{"info":"⫡⇟⇯≴∭⊉3412=≴∭⊉12504","layer":0}]}
+{"id":466,"expression_no_base_symbol":"(⫵↿$5111$)/$4968$≠≀$2248$","expression":"(⫵↿≴∭⊉20621)/≴∭⊉20325≠≀≴∭⊉6361","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":5111,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4968,"base":7},"right_expr":{"type":"numeric_atoms","value":2248,"base":7}}},"used_operators":["XhwjNDsVaA","ivGwdmUAux","IwW236VD4Y"],"dependent_operators":["rysDP5nf3Z","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"≴∭⊉-1","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5111","layer":2},{"info":"compute unary expreesion, input=5111, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=4968","layer":2},{"info":"number node, value=2248","layer":2},{"info":"compute binary expreesion, left_input=4968, right_input=2248, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9630","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=-9630, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":7,"result_base":7,"text":"(⫵↿≴∭⊉20621)/≴∭⊉20325≠≀≴∭⊉6361=≴∭⊉-1","reverse_text":"≴∭⊉-1=(⫵↿≴∭⊉20621)/≴∭⊉20325≠≀≴∭⊉6361","cot":[{"info":"⫵↿≴∭⊉20621=≴∭⊉254","layer":1},{"info":"≴∭⊉20325≠≀≴∭⊉6361=≴∭⊉-40035","layer":1},{"info":"≴∭⊉254/≴∭⊉-40035=≴∭⊉-1","layer":0}]}
+{"id":467,"expression_no_base_symbol":"($1282$↸$3386$)+⇶⊼($3212$⇆⨓≜)","expression":"(≴∭⊉3511↸≴∭⊉12605)+⇶⊼(≴∭⊉12236⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1441,"operation_count":3,"complexity_ratio":480.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1282,"base":7},"right_expr":{"type":"numeric_atoms","value":3386,"base":7}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3212,"base":7}}},"used_operators":["TpPTUOHfaN","1eCjFl0mb9","KvvgdUaMHJ"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Uaa54Peajs","KYD54nUTWz"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1282","layer":2},{"info":"number node, value=3386","layer":2},{"info":"compute binary expreesion, left_input=1282, right_input=3386, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1282","layer":1},{"info":"number node, value=3212","layer":2},{"info":"compute unary expreesion, input=3212, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1282, 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":7,"result_base":7,"text":"(≴∭⊉3511↸≴∭⊉12605)+⇶⊼(≴∭⊉12236⇆⨓≜)=NaN","reverse_text":"NaN=(≴∭⊉3511↸≴∭⊉12605)+⇶⊼(≴∭⊉12236⇆⨓≜)","cot":[{"info":"≴∭⊉3511↸≴∭⊉12605=≴∭⊉3511","layer":1},{"info":"≴∭⊉12236⇆⨓≜=NaN","layer":1},{"info":"≴∭⊉3511+⇶⊼NaN=NaN","layer":0}]}
+{"id":468,"expression_no_base_symbol":"($3748$∐⫣)⪭≯$2562$↢$4072$","expression":"(≴∭⊉13633∐⫣)⪭≯≴∭⊉10320↢≴∭⊉14605","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":3748,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2562,"base":7},"right_expr":{"type":"numeric_atoms","value":4072,"base":7}}},"used_operators":["XAx5wpdLa6","4CyGpkTkEk","WR6HLWljOP"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3748","layer":2},{"info":"compute unary expreesion, input=3748, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"number node, value=2562","layer":2},{"info":"number node, value=4072","layer":2},{"info":"compute binary expreesion, left_input=2562, right_input=4072, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2078","layer":1},{"info":"compute binary expreesion, left_input=551, right_input=2078, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13633∐⫣)⪭≯≴∭⊉10320↢≴∭⊉14605=NaN","reverse_text":"NaN=(≴∭⊉13633∐⫣)⪭≯≴∭⊉10320↢≴∭⊉14605","cot":[{"info":"≴∭⊉13633∐⫣=≴∭⊉1415","layer":1},{"info":"≴∭⊉10320↢≴∭⊉14605=≴∭⊉6026","layer":1},{"info":"≴∭⊉1415⪭≯≴∭⊉6026=NaN","layer":0}]}
+{"id":469,"expression_no_base_symbol":"$1464$∥⊢⊲$4264$⫡⨏(⊆⋠$4621$)","expression":"≴∭⊉4161∥⊢⊲≴∭⊉15301⫡⨏(⊆⋠≴∭⊉16321)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1464,"base":7},"right_expr":{"type":"numeric_atoms","value":4264,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":4621,"base":7}}},"used_operators":["QMFrweE19q","v1UQAVDJRr","EBhcHTkKd8"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1464","layer":2},{"info":"number node, value=4264","layer":2},{"info":"compute binary expreesion, left_input=1464, right_input=4264, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=4621","layer":2},{"info":"compute unary expreesion, input=4621, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4161∥⊢⊲≴∭⊉15301⫡⨏(⊆⋠≴∭⊉16321)=NaN","reverse_text":"NaN=≴∭⊉4161∥⊢⊲≴∭⊉15301⫡⨏(⊆⋠≴∭⊉16321)","cot":[{"info":"≴∭⊉4161∥⊢⊲≴∭⊉15301=NaN","layer":1},{"info":"⊆⋠≴∭⊉16321=≴∭⊉0","layer":1},{"info":"NaN⫡⨏≴∭⊉0=NaN","layer":0}]}
+{"id":470,"expression_no_base_symbol":"⨩∲⋌(⩦⊞$7629$)","expression":"⨩∲⋌(⩦⊞≴∭⊉31146)","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":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":7629,"base":7}}},"used_operators":["aSik1wnThz","u7fv1HBiaC"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"≴∭⊉-26520","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7629","layer":2},{"info":"compute unary expreesion, input=7629, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-7356","layer":1},{"info":"compute unary expreesion, input=-7356, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-7119","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌(⩦⊞≴∭⊉31146)=≴∭⊉-26520","reverse_text":"≴∭⊉-26520=⨩∲⋌(⩦⊞≴∭⊉31146)","cot":[{"info":"⩦⊞≴∭⊉31146=≴∭⊉-30306","layer":1},{"info":"⨩∲⋌≴∭⊉-30306=≴∭⊉-26520","layer":0}]}
+{"id":471,"expression_no_base_symbol":"(∮$2342$)⊢($5183$⊬⫿⊭)","expression":"(∮≴∭⊉6554)⊢(≴∭⊉21053⊬⫿⊭)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":348,"operation_count":3,"complexity_ratio":116.0,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2342,"base":7}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":5183,"base":7}}},"used_operators":["5twsqlHp2o","CqXKPLVYql","v0DYgG9ikt"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉-1050","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":2},{"info":"compute unary expreesion, input=2342, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":1},{"info":"number node, value=5183","layer":2},{"info":"compute unary expreesion, input=5183, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-15549","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-15549, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-378","layer":0}],"base":7,"result_base":7,"text":"(∮≴∭⊉6554)⊢(≴∭⊉21053⊬⫿⊭)=≴∭⊉-1050","reverse_text":"≴∭⊉-1050=(∮≴∭⊉6554)⊢(≴∭⊉21053⊬⫿⊭)","cot":[{"info":"∮≴∭⊉6554=≴∭⊉124","layer":1},{"info":"≴∭⊉21053⊬⫿⊭=≴∭⊉-63222","layer":1},{"info":"≴∭⊉124⊢≴∭⊉-63222=≴∭⊉-1050","layer":0}]}
+{"id":472,"expression_no_base_symbol":"($1530$≃$2157$)⊮⊟↴(∤↝$3410$)","expression":"(≴∭⊉4314≃≴∭⊉6201)⊮⊟↴(∤↝≴∭⊉12641)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":64,"operation_count":3,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1530,"base":7},"right_expr":{"type":"numeric_atoms","value":2157,"base":7}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3410,"base":7}}},"used_operators":["QDVgd2eftb","YbVcJGFEVW","3UMq87Qwqg"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":2},{"info":"number node, value=2157","layer":2},{"info":"compute binary expreesion, left_input=1530, right_input=2157, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6160","layer":1},{"info":"number node, value=3410","layer":2},{"info":"compute unary expreesion, input=3410, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=3410","layer":1},{"info":"compute binary expreesion, left_input=-6160, right_input=3410, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4314≃≴∭⊉6201)⊮⊟↴(∤↝≴∭⊉12641)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉4314≃≴∭⊉6201)⊮⊟↴(∤↝≴∭⊉12641)","cot":[{"info":"≴∭⊉4314≃≴∭⊉6201=≴∭⊉-23650","layer":1},{"info":"∤↝≴∭⊉12641=≴∭⊉12641","layer":1},{"info":"≴∭⊉-23650⊮⊟↴≴∭⊉12641=≴∭⊉0","layer":0}]}
+{"id":473,"expression_no_base_symbol":"$4495$⪒⊣⊆$1001$⫚↹⊑$1387$⋅⇍$5524$","expression":"≴∭⊉16051⪒⊣⊆≴∭⊉2630⫚↹⊑≴∭⊉4021⋅⇍≴∭⊉22051","highest_n_order":1,"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":4495,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1387,"base":7},"right_expr":{"type":"numeric_atoms","value":5524,"base":7}}},"used_operators":["dfKe02y8D2","eRqsBgTDFp","AdZkA7nFnk"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","sdazOOVcIp","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4495","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=4495, right_input=1001, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8990","layer":1},{"info":"number node, value=1387","layer":2},{"info":"number node, value=5524","layer":2},{"info":"compute binary expreesion, left_input=1387, right_input=5524, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=8990, right_input=-22, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16051⪒⊣⊆≴∭⊉2630⫚↹⊑≴∭⊉4021⋅⇍≴∭⊉22051=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=≴∭⊉16051⪒⊣⊆≴∭⊉2630⫚↹⊑≴∭⊉4021⋅⇍≴∭⊉22051","cot":[{"info":"≴∭⊉16051⪒⊣⊆≴∭⊉2630=≴∭⊉35132","layer":1},{"info":"≴∭⊉4021⋅⇍≴∭⊉22051=≴∭⊉-31","layer":1},{"info":"≴∭⊉35132⫚↹⊑≴∭⊉-31=≴∭⊉-1206","layer":0}]}
+{"id":474,"expression_no_base_symbol":"$1474$⫞⩸⩒$4007$∴($3360$⊬⨰$7251$)","expression":"≴∭⊉4204⫞⩸⩒≴∭⊉14453∴(≴∭⊉12540⊬⨰≴∭⊉30066)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1474,"base":7},"right_expr":{"type":"numeric_atoms","value":4007,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3360,"base":7},"right_expr":{"type":"numeric_atoms","value":7251,"base":7}}},"used_operators":["hrf7POJlIJ","XGcMNugi78","s3Fd5m9Dh2"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉40112","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1474","layer":2},{"info":"number node, value=4007","layer":2},{"info":"compute binary expreesion, left_input=1474, right_input=4007, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4007","layer":1},{"info":"number node, value=3360","layer":2},{"info":"number node, value=7251","layer":2},{"info":"compute binary expreesion, left_input=3360, right_input=7251, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=31308","layer":1},{"info":"compute binary expreesion, left_input=4007, right_input=31308, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9662","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4204⫞⩸⩒≴∭⊉14453∴(≴∭⊉12540⊬⨰≴∭⊉30066)=≴∭⊉40112","reverse_text":"≴∭⊉40112=≴∭⊉4204⫞⩸⩒≴∭⊉14453∴(≴∭⊉12540⊬⨰≴∭⊉30066)","cot":[{"info":"≴∭⊉4204⫞⩸⩒≴∭⊉14453=≴∭⊉14453","layer":1},{"info":"≴∭⊉12540⊬⨰≴∭⊉30066=≴∭⊉160164","layer":1},{"info":"≴∭⊉14453∴≴∭⊉160164=≴∭⊉40112","layer":0}]}
+{"id":475,"expression_no_base_symbol":"($6415$≎⊠⪸$1223$)∥⊢⊲($5563$⪚$1589$)","expression":"(≴∭⊉24463≎⊠⪸≴∭⊉3365)∥⊢⊲(≴∭⊉22135⪚≴∭⊉4430)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":299,"operation_count":3,"complexity_ratio":99.66666666666667,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6415,"base":7},"right_expr":{"type":"numeric_atoms","value":1223,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5563,"base":7},"right_expr":{"type":"numeric_atoms","value":1589,"base":7}}},"used_operators":["v1UQAVDJRr","bJkvcejdHO","HrjLwUk87U"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6415","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=6415, right_input=1223, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1661012","layer":1},{"info":"number node, value=5563","layer":2},{"info":"number node, value=1589","layer":2},{"info":"compute binary expreesion, left_input=5563, right_input=1589, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7592","layer":1},{"info":"compute binary expreesion, left_input=1661012, right_input=7592, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24463≎⊠⪸≴∭⊉3365)∥⊢⊲(≴∭⊉22135⪚≴∭⊉4430)=NaN","reverse_text":"NaN=(≴∭⊉24463≎⊠⪸≴∭⊉3365)∥⊢⊲(≴∭⊉22135⪚≴∭⊉4430)","cot":[{"info":"≴∭⊉24463≎⊠⪸≴∭⊉3365=≴∭⊉20055413","layer":1},{"info":"≴∭⊉22135⪚≴∭⊉4430=≴∭⊉31064","layer":1},{"info":"≴∭⊉20055413∥⊢⊲≴∭⊉31064=NaN","layer":0}]}
+{"id":476,"expression_no_base_symbol":"$1028$∑⇟⊟$1346$≬⇓($1410$⪄$2349$)","expression":"≴∭⊉2666∑⇟⊟≴∭⊉3632≬⇓(≴∭⊉4053⪄≴∭⊉6564)","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":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1028,"base":7},"right_expr":{"type":"numeric_atoms","value":1346,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1410,"base":7},"right_expr":{"type":"numeric_atoms","value":2349,"base":7}}},"used_operators":["jWTQ2TZYIH","U7g4x0WXJJ","SUmda5xLS4"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=1346, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1410","layer":2},{"info":"number node, value=2349","layer":2},{"info":"compute binary expreesion, left_input=1410, right_input=2349, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-214165","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-214165, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2666∑⇟⊟≴∭⊉3632≬⇓(≴∭⊉4053⪄≴∭⊉6564)=NaN","reverse_text":"NaN=≴∭⊉2666∑⇟⊟≴∭⊉3632≬⇓(≴∭⊉4053⪄≴∭⊉6564)","cot":[{"info":"≴∭⊉2666∑⇟⊟≴∭⊉3632=NaN","layer":1},{"info":"≴∭⊉4053⪄≴∭⊉6564=≴∭⊉-1551250","layer":1},{"info":"NaN≬⇓≴∭⊉-1551250=NaN","layer":0}]}
+{"id":477,"expression_no_base_symbol":"$1006$⪒⊣⊆$5138$≧⫂∧$4178$⊋$2052$","expression":"≴∭⊉2635⪒⊣⊆≴∭⊉20660≧⫂∧≴∭⊉15116⊋≴∭⊉5661","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4361,"operation_count":3,"complexity_ratio":1453.6666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1006,"base":7},"right_expr":{"type":"numeric_atoms","value":5138,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4178,"base":7},"right_expr":{"type":"numeric_atoms","value":2052,"base":7}}},"used_operators":["Ph9nP6C5qx","eRqsBgTDFp","W4tP9CfskL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"≴∭⊉563143515","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=5138","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=5138, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2012","layer":1},{"info":"number node, value=4178","layer":2},{"info":"number node, value=2052","layer":2},{"info":"compute binary expreesion, left_input=4178, right_input=2052, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=34146380","layer":1},{"info":"compute binary expreesion, left_input=2012, right_input=34146380, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=34145907","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2635⪒⊣⊆≴∭⊉20660≧⫂∧≴∭⊉15116⊋≴∭⊉5661=≴∭⊉563143515","reverse_text":"≴∭⊉563143515=≴∭⊉2635⪒⊣⊆≴∭⊉20660≧⫂∧≴∭⊉15116⊋≴∭⊉5661","cot":[{"info":"≴∭⊉2635⪒⊣⊆≴∭⊉20660=≴∭⊉5603","layer":1},{"info":"≴∭⊉15116⊋≴∭⊉5661=≴∭⊉563145062","layer":1},{"info":"≴∭⊉5603≧⫂∧≴∭⊉563145062=≴∭⊉563143515","layer":0}]}
+{"id":478,"expression_no_base_symbol":"⊀$3167$⩁⩘$1597$","expression":"⊀≴∭⊉12143⩁⩘≴∭⊉4441","highest_n_order":2,"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":3167,"base":7},"right_expr":{"type":"numeric_atoms","value":1597,"base":7}}},"used_operators":["oPMjh9089D","gub5Cegaqo"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉150534","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3167","layer":2},{"info":"number node, value=1597","layer":2},{"info":"compute binary expreesion, left_input=3167, right_input=1597, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7336","layer":1},{"info":"compute unary expreesion, input=7336, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=29082","layer":0}],"base":7,"result_base":7,"text":"⊀≴∭⊉12143⩁⩘≴∭⊉4441=≴∭⊉150534","reverse_text":"≴∭⊉150534=⊀≴∭⊉12143⩁⩘≴∭⊉4441","cot":[{"info":"≴∭⊉12143⩁⩘≴∭⊉4441=≴∭⊉30250","layer":1},{"info":"⊀≴∭⊉30250=≴∭⊉150534","layer":0}]}
+{"id":479,"expression_no_base_symbol":"(⫡⇟⇯$2423$)⫉⨲⊜(↘$2223$)","expression":"(⫡⇟⇯≴∭⊉10031)⫉⨲⊜(↘≴∭⊉6324)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2423,"base":7}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2223,"base":7}}},"used_operators":["WhqkvtTD3t","qWUSsah53b","LdNpr8hQHL"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","DZ8iAZOCBD","P8v4zCKN1o","uFcxV4UQCh"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2423","layer":2},{"info":"compute unary expreesion, input=2423, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5714","layer":1},{"info":"number node, value=2223","layer":2},{"info":"compute unary expreesion, input=2223, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=263","layer":1},{"info":"compute binary expreesion, left_input=5714, right_input=263, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⫡⇟⇯≴∭⊉10031)⫉⨲⊜(↘≴∭⊉6324)=���∭⊉0","reverse_text":"≴∭⊉0=(⫡⇟⇯≴∭⊉10031)⫉⨲⊜(↘≴∭⊉6324)","cot":[{"info":"⫡⇟⇯≴∭⊉10031=≴∭⊉22442","layer":1},{"info":"↘≴∭⊉6324=≴∭⊉524","layer":1},{"info":"≴∭⊉22442⫉⨲⊜≴∭⊉524=≴∭⊉0","layer":0}]}
+{"id":480,"expression_no_base_symbol":"≑⋹($5291$≄⊠$3417$)","expression":"≑⋹(≴∭⊉21266≄⊠≴∭⊉12651)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":164,"operation_count":2,"complexity_ratio":82.0,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5291,"base":7},"right_expr":{"type":"numeric_atoms","value":3417,"base":7}}},"used_operators":["6B9nyZLogK","vXNesLlMH1"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"≴∭⊉4545","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5291","layer":2},{"info":"number node, value=3417","layer":2},{"info":"compute binary expreesion, left_input=5291, right_input=3417, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=59340","layer":1},{"info":"compute unary expreesion, input=59340, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":0}],"base":7,"result_base":7,"text":"≑⋹(≴∭⊉21266≄⊠≴∭⊉12651)=≴∭⊉4545","reverse_text":"≴∭⊉4545=≑⋹(≴∭⊉21266≄⊠≴∭⊉12651)","cot":[{"info":"≴∭⊉21266≄⊠≴∭⊉12651=≴∭⊉335001","layer":1},{"info":"≑⋹≴∭⊉335001=≴∭⊉4545","layer":0}]}
+{"id":481,"expression_no_base_symbol":"⫵↿$3951$⩍⋽⫝̸$5051$","expression":"⫵↿≴∭⊉14343⩍⋽⫝̸≴∭⊉20504","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":3951,"base":7},"right_expr":{"type":"numeric_atoms","value":5051,"base":7}}},"used_operators":["ivGwdmUAux","BiWNJpBvwn"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≴∭⊉254","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3951","layer":2},{"info":"number node, value=5051","layer":2},{"info":"compute binary expreesion, left_input=3951, right_input=5051, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4105","layer":1},{"info":"compute unary expreesion, input=4105, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":7,"result_base":7,"text":"⫵↿≴∭⊉14343⩍⋽⫝̸≴∭⊉20504=≴∭⊉254","reverse_text":"≴∭⊉254=⫵↿≴∭⊉14343⩍⋽⫝̸≴∭⊉20504","cot":[{"info":"≴∭⊉14343⩍⋽⫝̸≴∭⊉20504=≴∭⊉14653","layer":1},{"info":"⫵↿≴∭⊉14653=≴∭⊉254","layer":0}]}
+{"id":482,"expression_no_base_symbol":"↑(⊖$5369$)","expression":"↑(⊖≴∭⊉21440)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":54,"operation_count":2,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":5369,"base":7}}},"used_operators":["tR7O2zTn5j","U6pG0PXrV3"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5369","layer":2},{"info":"compute unary expreesion, input=5369, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↑(⊖≴∭⊉21440)=NaN","reverse_text":"NaN=↑(⊖≴∭⊉21440)","cot":[{"info":"⊖≴∭⊉21440=≴∭⊉0","layer":1},{"info":"↑≴∭⊉0=NaN","layer":0}]}
+{"id":483,"expression_no_base_symbol":"$1530$⨜⨶$1176$⪹","expression":"≴∭⊉4314⨜⨶≴∭⊉3300⪹","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1530,"base":7},"right_expr":{"type":"numeric_atoms","value":1176,"base":7}}},"used_operators":["B3sABdIn96","HiPekx5b7W"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉3654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":2},{"info":"number node, value=1176","layer":2},{"info":"compute binary expreesion, left_input=1530, right_input=1176, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2096","layer":1},{"info":"compute unary expreesion, input=-2096, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=1362","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4314⨜⨶≴∭⊉3300⪹=≴∭⊉3654","reverse_text":"≴∭⊉3654=≴∭⊉4314⨜⨶≴∭⊉3300⪹","cot":[{"info":"≴∭⊉4314⨜⨶≴∭⊉3300=≴∭⊉-6053","layer":1},{"info":"≴∭⊉-6053⪹=≴∭⊉3654","layer":0}]}
+{"id":484,"expression_no_base_symbol":"($2949$⊾⪯⋞$4622$)↫","expression":"(≴∭⊉11412⊾⪯⋞≴∭⊉16322)↫","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":58,"operation_count":2,"complexity_ratio":29.0,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2949,"base":7},"right_expr":{"type":"numeric_atoms","value":4622,"base":7}}},"used_operators":["uPb5QRN0te","HK0tfVPux8"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2949","layer":2},{"info":"number node, value=4622","layer":2},{"info":"compute binary expreesion, left_input=2949, right_input=4622, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8818","layer":1},{"info":"compute unary expreesion, input=8818, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11412⊾⪯⋞≴∭⊉16322)↫=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉11412⊾⪯⋞≴∭⊉16322)↫","cot":[{"info":"≴∭⊉11412⊾⪯⋞≴∭⊉16322=≴∭⊉34465","layer":1},{"info":"≴∭⊉34465↫=≴∭⊉316","layer":0}]}
+{"id":485,"expression_no_base_symbol":"⩦⊞$3413$↳∿⪆$1208$","expression":"⩦⊞≴∭⊉12644↳∿⪆≴∭⊉3344","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2392,"operation_count":2,"complexity_ratio":1196.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3413,"base":7},"right_expr":{"type":"numeric_atoms","value":1208,"base":7}}},"used_operators":["u7fv1HBiaC","Cw4SuJJGHO"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3413","layer":2},{"info":"number node, value=1208","layer":2},{"info":"compute binary expreesion, left_input=3413, right_input=1208, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩦⊞≴∭⊉12644↳∿⪆≴∭⊉3344=NaN","reverse_text":"NaN=⩦⊞≴∭⊉12644↳∿⪆≴∭⊉3344","cot":[{"info":"≴∭⊉12644↳∿⪆≴∭⊉3344=NaN","layer":1},{"info":"⩦⊞NaN=NaN","layer":0}]}
+{"id":486,"expression_no_base_symbol":"(↸⊣$3157$)∥⊢⊲$2465$≎⪠$2501$","expression":"(↸⊣≴∭⊉12130)∥⊢⊲≴∭⊉10121≎⪠≴∭⊉10202","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19120,"operation_count":3,"complexity_ratio":6373.333333333333,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3157,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2465,"base":7},"right_expr":{"type":"numeric_atoms","value":2501,"base":7}}},"used_operators":["v1UQAVDJRr","wztAlM01eG","aNhz54LH3e"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3157","layer":2},{"info":"compute unary expreesion, input=3157, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2870","layer":1},{"info":"number node, value=2465","layer":2},{"info":"number node, value=2501","layer":2},{"info":"compute binary expreesion, left_input=2465, right_input=2501, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=-2870, right_input=19558, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(↸⊣≴∭⊉12130)∥⊢⊲≴∭⊉10121≎⪠≴∭⊉10202=≴∭⊉111010","reverse_text":"≴∭⊉111010=(↸⊣≴∭⊉12130)∥⊢⊲≴∭⊉10121≎⪠≴∭⊉10202","cot":[{"info":"↸⊣≴∭⊉12130=≴∭⊉-11240","layer":1},{"info":"≴∭⊉10121≎⪠≴∭⊉10202=≴∭⊉111010","layer":1},{"info":"≴∭⊉-11240∥⊢⊲≴∭⊉111010=≴∭⊉111010","layer":0}]}
+{"id":487,"expression_no_base_symbol":"($1741$∪⫐$1732$)≭$5610$→⨶⪴$6226$","expression":"(≴∭⊉5035∪⫐≴∭⊉5023)≭≴∭⊉22233→⨶⪴≴∭⊉24103","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":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1741,"base":7},"right_expr":{"type":"numeric_atoms","value":1732,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5610,"base":7},"right_expr":{"type":"numeric_atoms","value":6226,"base":7}}},"used_operators":["rxpJgHHUmx","7YooWSwCyH","bF6eod5Gvf"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","2DDjHMKMc0","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":2},{"info":"number node, value=1732","layer":2},{"info":"compute binary expreesion, left_input=1741, right_input=1732, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1741","layer":1},{"info":"number node, value=5610","layer":2},{"info":"number node, value=6226","layer":2},{"info":"compute binary expreesion, left_input=5610, right_input=6226, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-18678","layer":1},{"info":"compute binary expreesion, left_input=1741, right_input=-18678, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":7,"result_base":7,"text":"(≴∭⊉5035∪⫐≴∭⊉5023)≭≴∭⊉22233→⨶⪴≴∭⊉24103=NaN","reverse_text":"NaN=(≴∭⊉5035∪⫐≴∭⊉5023)≭≴∭⊉22233→⨶⪴≴∭⊉24103","cot":[{"info":"≴∭⊉5035∪⫐≴∭⊉5023=≴∭⊉5035","layer":1},{"info":"≴∭⊉22233→⨶⪴≴∭⊉24103=≴∭⊉-105312","layer":1},{"info":"≴∭⊉5035≭≴∭⊉-105312=NaN","layer":0}]}
+{"id":488,"expression_no_base_symbol":"$1811$⨔⇊$6403$⊴($2345$⋓$1400$)","expression":"≴∭⊉5165⨔⇊≴∭⊉24445⊴(≴∭⊉6560⋓≴∭⊉4040)","highest_n_order":3,"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":1811,"base":7},"right_expr":{"type":"numeric_atoms","value":6403,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2345,"base":7},"right_expr":{"type":"numeric_atoms","value":1400,"base":7}}},"used_operators":["Nsiff2A1zJ","JclMnS0uGI","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≴∭⊉-142","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1811","layer":2},{"info":"number node, value=6403","layer":2},{"info":"compute binary expreesion, left_input=1811, right_input=6403, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6403","layer":1},{"info":"number node, value=2345","layer":2},{"info":"number node, value=1400","layer":2},{"info":"compute binary expreesion, left_input=2345, right_input=1400, op_id = T2fj7uvVaJ binary_op_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=6403, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5165⨔⇊≴∭⊉24445⊴(≴∭⊉6560⋓≴∭⊉4040)=≴∭⊉-142","reverse_text":"≴∭⊉-142=≴∭⊉5165⨔⇊≴∭⊉24445⊴(≴∭⊉6560⋓≴∭⊉4040)","cot":[{"info":"≴∭⊉5165⨔⇊≴∭⊉24445=≴∭⊉24445","layer":1},{"info":"≴∭⊉6560⋓≴∭⊉4040=≴∭⊉0","layer":1},{"info":"≴∭⊉24445⊴≴∭⊉0=≴∭⊉-142","layer":0}]}
+{"id":489,"expression_no_base_symbol":"($1786$∊∟⩊$3746$)∺≝⩲($1454$⨟⋌⩍$4110$)","expression":"(≴∭⊉5131∊∟⩊≴∭⊉13631)∺≝⩲(≴∭⊉4145⨟⋌⩍≴∭⊉14661)","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":1786,"base":7},"right_expr":{"type":"numeric_atoms","value":3746,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1454,"base":7},"right_expr":{"type":"numeric_atoms","value":4110,"base":7}}},"used_operators":["KPf6cnQVty","ddLRYrp01A","rGHVDoGpnC"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Tcnh7f0tEr"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1786","layer":2},{"info":"number node, value=3746","layer":2},{"info":"compute binary expreesion, left_input=1786, right_input=3746, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3746","layer":1},{"info":"number node, value=1454","layer":2},{"info":"number node, value=4110","layer":2},{"info":"compute binary expreesion, left_input=1454, right_input=4110, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3746, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5131∊∟⩊≴∭⊉13631)∺≝⩲(≴∭⊉4145⨟⋌⩍≴∭⊉14661)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉5131∊∟⩊≴∭⊉13631)∺≝⩲(≴∭⊉4145⨟⋌⩍≴∭⊉14661)","cot":[{"info":"≴∭⊉5131∊∟⩊≴∭⊉13631=≴∭⊉13631","layer":1},{"info":"≴∭⊉4145⨟⋌⩍≴∭⊉14661=NaN","layer":1},{"info":"≴∭⊉13631∺≝⩲NaN=≴∭⊉316","layer":0}]}
+{"id":490,"expression_no_base_symbol":"(≛$3030$)⇂≾⫗($1829$≚⊃≕$4796$)","expression":"(≛≴∭⊉11556)⇂≾⫗(≴∭⊉5222≚⊃≕≴∭⊉16661)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":3030,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1829,"base":7},"right_expr":{"type":"numeric_atoms","value":4796,"base":7}}},"used_operators":["aBQ6xLxuTc","W7eaUhjymW","Bmrmz2XGnR"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-1645","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3030","layer":2},{"info":"compute unary expreesion, input=3030, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"number node, value=1829","layer":2},{"info":"number node, value=4796","layer":2},{"info":"compute binary expreesion, left_input=1829, right_input=4796, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14226","layer":1},{"info":"compute binary expreesion, left_input=-10, right_input=-14226, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":7,"result_base":7,"text":"(≛≴∭⊉11556)⇂≾⫗(≴∭⊉5222≚⊃≕≴∭⊉16661)=≴∭⊉-1645","reverse_text":"≴∭⊉-1645=(≛≴∭⊉11556)⇂≾⫗(≴∭⊉5222≚⊃≕≴∭⊉16661)","cot":[{"info":"≛≴∭⊉11556=≴∭⊉-13","layer":1},{"info":"≴∭⊉5222≚⊃≕≴∭⊉16661=≴∭⊉-56322","layer":1},{"info":"≴∭⊉-13⇂≾⫗≴∭⊉-56322=≴∭⊉-1645","layer":0}]}
+{"id":491,"expression_no_base_symbol":"(⩪∧⨌$2133$)≎⊠⪸$5367$∋$1148$","expression":"(⩪∧⨌≴∭⊉6135)≎⊠⪸≴∭⊉21435∋≴∭⊉3230","highest_n_order":2,"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":2133,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5367,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}}},"used_operators":["bJkvcejdHO","6iOiAJX1F8","ukq6epAj5P"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"≴∭⊉64644643","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2133","layer":2},{"info":"compute unary expreesion, input=2133, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=21330","layer":1},{"info":"number node, value=5367","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=5367, right_input=1148, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2604068","layer":1},{"info":"compute binary expreesion, left_input=21330, right_input=2604068, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5523997","layer":0}],"base":7,"result_base":7,"text":"(⩪∧⨌≴∭⊉6135)≎⊠⪸≴∭⊉21435∋≴∭⊉3230=≴∭⊉64644643","reverse_text":"≴∭⊉64644643=(⩪∧⨌≴∭⊉6135)≎⊠⪸≴∭⊉21435∋≴∭⊉3230","cot":[{"info":"⩪∧⨌≴∭⊉6135=≴∭⊉116121","layer":1},{"info":"≴∭⊉21435∋≴∭⊉3230=≴∭⊉31064015","layer":1},{"info":"≴∭⊉116121≎⊠⪸≴∭⊉31064015=≴∭⊉64644643","layer":0}]}
+{"id":492,"expression_no_base_symbol":"($1007$⇮⋭$4122$)↙$1405$⊋$5549$","expression":"(≴∭⊉2636⇮⋭≴∭⊉15006)↙≴∭⊉4045⊋≴∭⊉22115","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8287,"operation_count":3,"complexity_ratio":2762.3333333333335,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1007,"base":7},"right_expr":{"type":"numeric_atoms","value":4122,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1405,"base":7},"right_expr":{"type":"numeric_atoms","value":5549,"base":7}}},"used_operators":["yyfyN0ffXY","vkpjKywKVM","W4tP9CfskL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"≴∭⊉-1244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"number node, value=4122","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=4122, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=1405","layer":2},{"info":"number node, value=5549","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=5549, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-179585540","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-179585540, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-473","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2636⇮⋭≴∭⊉15006)↙≴∭⊉4045⊋≴∭⊉22115=≴∭⊉-1244","reverse_text":"≴∭⊉-1244=(≴∭⊉2636⇮⋭≴∭⊉15006)↙≴∭⊉4045⊋≴∭⊉22115","cot":[{"info":"≴∭⊉2636⇮⋭≴∭⊉15006=≴∭⊉-1244","layer":1},{"info":"≴∭⊉4045⊋≴∭⊉22115=≴∭⊉-4310311001","layer":1},{"info":"≴∭⊉-1244↙≴∭⊉-4310311001=≴∭⊉-1244","layer":0}]}
+{"id":493,"expression_no_base_symbol":"($3330$⊝⪿⪼$1052$)⇤($1308$∘$1885$)","expression":"(≴∭⊉12465⊝⪿⪼≴∭⊉3032)⇤(≴∭⊉3546∘≴∭⊉5332)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3330,"base":7},"right_expr":{"type":"numeric_atoms","value":1052,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1308,"base":7},"right_expr":{"type":"numeric_atoms","value":1885,"base":7}}},"used_operators":["YSKBFp38Pu","3Oe9XWJUTD","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉-2153465","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3330","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=3330, right_input=1052, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=51030","layer":1},{"info":"number node, value=1308","layer":2},{"info":"number node, value=1885","layer":2},{"info":"compute binary expreesion, left_input=1308, right_input=1885, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2616","layer":1},{"info":"compute binary expreesion, left_input=51030, right_input=2616, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-265382","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12465⊝⪿⪼≴∭⊉3032)⇤(≴∭⊉3546∘≴∭⊉5332)=≴∭⊉-2153465","reverse_text":"≴∭⊉-2153465=(≴∭⊉12465⊝⪿⪼≴∭⊉3032)⇤(≴∭⊉3546∘≴∭⊉5332)","cot":[{"info":"≴∭⊉12465⊝⪿⪼≴∭⊉3032=≴∭⊉301530","layer":1},{"info":"≴∭⊉3546∘≴∭⊉5332=≴∭⊉10425","layer":1},{"info":"≴∭⊉301530⇤≴∭⊉10425=≴∭⊉-2153465","layer":0}]}
+{"id":494,"expression_no_base_symbol":"⊬↢$8141$⩖⊿$1858$","expression":"⊬↢≴∭⊉32510⩖⊿≴∭⊉5263","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2707,"operation_count":2,"complexity_ratio":1353.5,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":8141,"base":7},"right_expr":{"type":"numeric_atoms","value":1858,"base":7}}},"used_operators":["WPoGxAaPR1","RZ5CV9rWsJ"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≴∭⊉-106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8141","layer":2},{"info":"number node, value=1858","layer":2},{"info":"compute binary expreesion, left_input=8141, right_input=1858, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-17782","layer":1},{"info":"compute unary expreesion, input=-17782, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":0}],"base":7,"result_base":7,"text":"⊬↢≴∭⊉32510⩖⊿≴∭⊉5263=≴∭⊉-106","reverse_text":"≴∭⊉-106=⊬↢≴∭⊉32510⩖⊿≴∭⊉5263","cot":[{"info":"≴∭⊉32510⩖⊿≴∭⊉5263=≴∭⊉-102562","layer":1},{"info":"⊬↢≴∭⊉-102562=≴∭⊉-106","layer":0}]}
+{"id":495,"expression_no_base_symbol":"⇖(↩⪖$1962$)","expression":"⇖(↩⪖≴∭⊉5502)","highest_n_order":1,"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":1962,"base":7}}},"used_operators":["tfWHHpNKUN","fG6uBQFnGz"],"dependent_operators":["2DQ55sFlQl","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":2},{"info":"compute unary expreesion, input=1962, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14754","layer":1},{"info":"compute unary expreesion, input=-14754, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":7,"result_base":7,"text":"⇖(↩⪖≴∭⊉5502)=≴∭⊉316","reverse_text":"≴∭⊉316=⇖(↩⪖≴∭⊉5502)","cot":[{"info":"↩⪖≴∭⊉5502=≴∭⊉-61005","layer":1},{"info":"⇖≴∭⊉-61005=≴∭⊉316","layer":0}]}
+{"id":496,"expression_no_base_symbol":"(∥⊫$2072$)⫌⩉⩟$1436$⫌⩉⩟$4921$","expression":"(∥⊫≴∭⊉6020)⫌⩉⩟≴∭⊉4121⫌⩉⩟≴∭⊉20230","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36520,"operation_count":3,"complexity_ratio":12173.333333333334,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2072,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1436,"base":7},"right_expr":{"type":"numeric_atoms","value":4921,"base":7}}},"used_operators":["XIIwhv8d0m","P8v4zCKN1o"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-206312","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":2},{"info":"compute unary expreesion, input=2072, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2940","layer":1},{"info":"number node, value=1436","layer":2},{"info":"number node, value=4921","layer":2},{"info":"compute binary expreesion, left_input=1436, right_input=4921, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=2940, right_input=-50, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-35828","layer":0}],"base":7,"result_base":7,"text":"(∥⊫≴∭⊉6020)⫌⩉⩟≴∭⊉4121⫌⩉⩟≴∭⊉20230=≴∭⊉-206312","reverse_text":"≴∭⊉-206312=(∥⊫≴∭⊉6020)⫌⩉⩟≴∭⊉4121⫌⩉⩟≴∭⊉20230","cot":[{"info":"∥⊫≴∭⊉6020=≴∭⊉11400","layer":1},{"info":"≴∭⊉4121⫌⩉⩟≴∭⊉20230=≴∭⊉-101","layer":1},{"info":"≴∭⊉11400⫌⩉⩟≴∭⊉-101=≴∭⊉-206312","layer":0}]}
+{"id":497,"expression_no_base_symbol":"$6040$≄⊠$3277$⪔($1189$⩢≌)","expression":"≴∭⊉23416≄⊠≴∭⊉12361⪔(≴∭⊉3316⩢≌)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":499,"operation_count":3,"complexity_ratio":166.33333333333334,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6040,"base":7},"right_expr":{"type":"numeric_atoms","value":3277,"base":7}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1189,"base":7}}},"used_operators":["GjBEYRfMaF","vXNesLlMH1","D617RFjZIq"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","hTbEZDJLEm","o20kRiQErp"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6040","layer":2},{"info":"number node, value=3277","layer":2},{"info":"compute binary expreesion, left_input=6040, right_input=3277, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=57100","layer":1},{"info":"number node, value=1189","layer":2},{"info":"compute unary expreesion, input=1189, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=57100, right_input=113, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23416≄⊠≴∭⊉12361⪔(≴∭⊉3316⩢≌)=≴∭⊉1212","reverse_text":"≴∭⊉1212=≴∭⊉23416≄⊠≴∭⊉12361⪔(≴∭⊉3316⩢≌)","cot":[{"info":"≴∭⊉23416≄⊠≴∭⊉12361=≴∭⊉325321","layer":1},{"info":"≴∭⊉3316⩢≌=≴∭⊉221","layer":1},{"info":"≴∭⊉325321⪔≴∭⊉221=≴∭⊉1212","layer":0}]}
+{"id":498,"expression_no_base_symbol":"$1196$⋥⋵⩄$4168$⊬⨰(↴⪽⋼$1000$)","expression":"≴∭⊉3326⋥⋵⩄≴∭⊉15103⊬⨰(↴⪽⋼≴∭⊉2626)","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":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":4168,"base":7}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1000,"base":7}}},"used_operators":["s3Fd5m9Dh2","7t3wd0Fuz7","5TUYCnJO6w"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"≴∭⊉15215","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1196","layer":2},{"info":"number node, value=4168","layer":2},{"info":"compute binary expreesion, left_input=1196, right_input=4168, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1000","layer":2},{"info":"compute unary expreesion, input=1000, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1000","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=1000, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4226","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3326⋥⋵⩄≴∭⊉15103⊬⨰(↴⪽⋼≴∭⊉2626)=≴∭⊉15215","reverse_text":"≴∭⊉15215=≴∭⊉3326⋥⋵⩄≴∭⊉15103⊬⨰(↴⪽⋼≴∭⊉2626)","cot":[{"info":"≴∭⊉3326⋥⋵⩄≴∭⊉15103=≴∭⊉221","layer":1},{"info":"↴⪽⋼≴∭⊉2626=≴∭⊉2626","layer":1},{"info":"≴∭⊉221⊬⨰≴∭⊉2626=≴∭⊉15215","layer":0}]}
+{"id":499,"expression_no_base_symbol":"⨣⨃⇪($5102$≳⇉$5795$)","expression":"⨣⨃⇪(≴∭⊉20606≳⇉≴∭⊉22616)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":456976582,"operation_count":2,"complexity_ratio":228488291.0,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5102,"base":7},"right_expr":{"type":"numeric_atoms","value":5795,"base":7}}},"used_operators":["AcOhelriW5","V0kx6qeWkN"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5102","layer":2},{"info":"number node, value=5795","layer":2},{"info":"compute binary expreesion, left_input=5102, right_input=5795, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪(≴∭⊉20606≳⇉≴∭⊉22616)=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪(≴∭⊉20606≳⇉≴∭⊉22616)","cot":[{"info":"≴∭⊉20606≳⇉≴∭⊉22616=NaN","layer":1},{"info":"⨣⨃⇪NaN=≴∭⊉4045","layer":0}]}
+{"id":500,"expression_no_base_symbol":"⨡↴(⇵⪽$3999$)","expression":"⨡↴(⇵⪽≴∭⊉14442)","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":3999,"base":7}}},"used_operators":["liw5iZPkLH","ZGCBLdVRRX"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3999","layer":2},{"info":"compute unary expreesion, input=3999, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨡↴(⇵⪽≴∭⊉14442)=NaN","reverse_text":"NaN=⨡↴(⇵⪽≴∭⊉14442)","cot":[{"info":"⇵⪽≴∭⊉14442=NaN","layer":1},{"info":"⨡↴NaN=NaN","layer":0}]}
+{"id":501,"expression_no_base_symbol":"↘$1721$∣$1772$","expression":"↘≴∭⊉5006∣≴∭⊉5111","highest_n_order":2,"priority_hierarchical_complexity":1,"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":1721,"base":7},"right_expr":{"type":"numeric_atoms","value":1772,"base":7}}},"used_operators":["LdNpr8hQHL","PPChnnnBFF"],"dependent_operators":["uFcxV4UQCh","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉306","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1721","layer":2},{"info":"number node, value=1772","layer":2},{"info":"compute binary expreesion, left_input=1721, right_input=1772, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1721","layer":1},{"info":"compute unary expreesion, input=1721, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=153","layer":0}],"base":7,"result_base":7,"text":"↘≴∭⊉5006∣≴∭⊉5111=≴∭⊉306","reverse_text":"≴∭⊉306=↘≴∭⊉5006∣≴∭⊉5111","cot":[{"info":"≴∭⊉5006∣≴∭⊉5111=≴∭⊉5006","layer":1},{"info":"↘≴∭⊉5006=≴∭⊉306","layer":0}]}
+{"id":502,"expression_no_base_symbol":"⨑⩽⪐(∓$3655$)","expression":"⨑⩽⪐(∓≴∭⊉13441)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3655,"base":7}}},"used_operators":["AF7qkfDlqP","OwUj7dcsQK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉1010250","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3655","layer":2},{"info":"compute unary expreesion, input=3655, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-59697","layer":1},{"info":"compute unary expreesion, input=-59697, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=120183","layer":0}],"base":7,"result_base":7,"text":"⨑⩽⪐(∓≴∭⊉13441)=≴∭⊉1010250","reverse_text":"≴∭⊉1010250=⨑⩽⪐(∓≴∭⊉13441)","cot":[{"info":"∓≴∭⊉13441=≴∭⊉-336021","layer":1},{"info":"⨑⩽⪐≴∭⊉-336021=≴∭⊉1010250","layer":0}]}
+{"id":503,"expression_no_base_symbol":"$1559$⩷∴$9716$⫲","expression":"≴∭⊉4355⩷∴≴∭⊉40220⫲","highest_n_order":1,"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":1559,"base":7},"right_expr":{"type":"numeric_atoms","value":9716,"base":7}}},"used_operators":["9xnGDUPbC6","9FxExcQeMw"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","rysDP5nf3Z"],"result":"≴∭⊉163650","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1559","layer":2},{"info":"number node, value=9716","layer":2},{"info":"compute binary expreesion, left_input=1559, right_input=9716, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-16346","layer":1},{"info":"compute unary expreesion, input=-16346, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=32571","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4355⩷∴≴∭⊉40220⫲=≴∭⊉163650","reverse_text":"≴∭⊉163650=≴∭⊉4355⩷∴≴∭⊉40220⫲","cot":[{"info":"≴∭⊉4355⩷∴≴∭⊉40220=≴∭⊉-65441","layer":1},{"info":"≴∭⊉-65441⫲=≴∭⊉163650","layer":0}]}
+{"id":504,"expression_no_base_symbol":"∓($5421$⪄$1633$)","expression":"∓(≴∭⊉21543⪄≴∭⊉4522)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":115,"operation_count":2,"complexity_ratio":57.5,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5421,"base":7},"right_expr":{"type":"numeric_atoms","value":1633,"base":7}}},"used_operators":["OwUj7dcsQK","SUmda5xLS4"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉204404526","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5421","layer":2},{"info":"number node, value=1633","layer":2},{"info":"compute binary expreesion, left_input=5421, right_input=1633, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-804929","layer":1},{"info":"compute unary expreesion, input=-804929, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=12069063","layer":0}],"base":7,"result_base":7,"text":"∓(≴∭⊉21543⪄≴∭⊉4522)=≴∭⊉204404526","reverse_text":"≴∭⊉204404526=∓(≴∭⊉21543⪄≴∭⊉4522)","cot":[{"info":"≴∭⊉21543⪄≴∭⊉4522=≴∭⊉-6561506","layer":1},{"info":"∓≴∭⊉-6561506=≴∭⊉204404526","layer":0}]}
+{"id":505,"expression_no_base_symbol":"($1069$⨌↪)⨌↪","expression":"(≴∭⊉3055⨌↪)⨌↪","highest_n_order":1,"priority_hierarchical_complexity":1,"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":1069,"base":7}}},"used_operators":["cWQsF5MvuD"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-1254","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":2},{"info":"compute unary expreesion, input=1069, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute unary expreesion, input=-480, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3055⨌↪)⨌↪=≴∭⊉-1254","reverse_text":"≴∭⊉-1254=(≴∭⊉3055⨌↪)⨌↪","cot":[{"info":"≴∭⊉3055⨌↪=≴∭⊉-1254","layer":1},{"info":"≴∭⊉-1254⨌↪=≴∭⊉-1254","layer":0}]}
+{"id":506,"expression_no_base_symbol":"∥⊫($8087$⫲)","expression":"∥⊫(≴∭⊉32402⫲)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":8087,"base":7}}},"used_operators":["P8v4zCKN1o","9xnGDUPbC6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"≴∭⊉34212","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8087","layer":2},{"info":"compute unary expreesion, input=8087, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=7814","layer":1},{"info":"compute unary expreesion, input=7814, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8682","layer":0}],"base":7,"result_base":7,"text":"∥⊫(≴∭⊉32402⫲)=≴∭⊉34212","reverse_text":"≴∭⊉34212=∥⊫(≴∭⊉32402⫲)","cot":[{"info":"≴∭⊉32402⫲=≴∭⊉31532","layer":1},{"info":"∥⊫≴∭⊉31532=≴∭⊉34212","layer":0}]}
+{"id":507,"expression_no_base_symbol":"(⋣$1954$)≁($1765$∥⊢⊲$7441$)","expression":"(⋣≴∭⊉5461)≁(≴∭⊉5101∥⊢⊲≴∭⊉30460)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":236,"operation_count":3,"complexity_ratio":78.66666666666667,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1954,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1765,"base":7},"right_expr":{"type":"numeric_atoms","value":7441,"base":7}}},"used_operators":["8N2wDY1A35","zQWRhDnn8F","v1UQAVDJRr"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":2},{"info":"compute unary expreesion, input=1954, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-574381","layer":1},{"info":"number node, value=1765","layer":2},{"info":"number node, value=7441","layer":2},{"info":"compute binary expreesion, left_input=1765, right_input=7441, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-574381, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⋣≴∭⊉5461)≁(≴∭⊉5101∥⊢⊲≴∭⊉30460)=NaN","reverse_text":"NaN=(⋣≴∭⊉5461)≁(≴∭⊉5101∥⊢⊲≴∭⊉30460)","cot":[{"info":"⋣≴∭⊉5461=≴∭⊉-4611403","layer":1},{"info":"≴∭⊉5101∥⊢⊲≴∭⊉30460=NaN","layer":1},{"info":"≴∭⊉-4611403≁NaN=NaN","layer":0}]}
+{"id":508,"expression_no_base_symbol":"($4022$∌↝$3487$)↦","expression":"(≴∭⊉14504∌↝≴∭⊉13111)↦","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68,"operation_count":2,"complexity_ratio":34.0,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4022,"base":7},"right_expr":{"type":"numeric_atoms","value":3487,"base":7}}},"used_operators":["fFznvYxMfW","9Isq31Ruls"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4022","layer":2},{"info":"number node, value=3487","layer":2},{"info":"compute binary expreesion, left_input=4022, right_input=3487, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-68","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14504∌↝≴∭⊉13111)↦=≴∭⊉-125","reverse_text":"≴∭⊉-125=(≴∭⊉14504∌↝≴∭⊉13111)↦","cot":[{"info":"≴∭⊉14504∌↝≴∭⊉13111=≴∭⊉0","layer":1},{"info":"≴∭⊉0↦=≴∭⊉-125","layer":0}]}
+{"id":509,"expression_no_base_symbol":"⊙↵-($2874$⩵∡$1456$)","expression":"⊙↵-(≴∭⊉11244⩵∡≴∭⊉4150)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4451,"operation_count":2,"complexity_ratio":2225.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2874,"base":7},"right_expr":{"type":"numeric_atoms","value":1456,"base":7}}},"used_operators":["oWn0xqSxBt","Y7wcNGrDQJ"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2874","layer":2},{"info":"number node, value=1456","layer":2},{"info":"compute binary expreesion, left_input=2874, right_input=1456, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4413","layer":1},{"info":"compute unary expreesion, input=-4413, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":7,"result_base":7,"text":"⊙↵-(≴∭⊉11244⩵∡≴∭⊉4150)=≴∭⊉400","reverse_text":"≴∭⊉400=⊙↵-(≴∭⊉11244⩵∡≴∭⊉4150)","cot":[{"info":"≴∭⊉11244⩵∡≴∭⊉4150=≴∭⊉-15603","layer":1},{"info":"⊙↵-≴∭⊉-15603=≴∭⊉400","layer":0}]}
+{"id":510,"expression_no_base_symbol":"(⊑$6423$)⋥≓≎$4071$⩣⫁∢$1252$","expression":"(⊑≴∭⊉24504)⋥≓≎≴∭⊉14604⩣⫁∢≴∭⊉3436","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":431,"operation_count":3,"complexity_ratio":143.66666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":6423,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4071,"base":7},"right_expr":{"type":"numeric_atoms","value":1252,"base":7}}},"used_operators":["Qy55tPpLXF","IkUmn0D7oy","JDUIKTTSIa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉-65000","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6423","layer":2},{"info":"compute unary expreesion, input=6423, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=4071","layer":2},{"info":"number node, value=1252","layer":2},{"info":"compute binary expreesion, left_input=4071, right_input=1252, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7981","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-7981, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-16121","layer":0}],"base":7,"result_base":7,"text":"(⊑≴∭⊉24504)⋥≓≎≴∭⊉14604⩣⫁∢≴∭⊉3436=≴∭⊉-65000","reverse_text":"≴∭⊉-65000=(⊑≴∭⊉24504)⋥≓≎≴∭⊉14604⩣⫁∢≴∭⊉3436","cot":[{"info":"⊑≴∭⊉24504=≴∭⊉363","layer":1},{"info":"≴∭⊉14604⩣⫁∢≴∭⊉3436=≴∭⊉-32161","layer":1},{"info":"≴∭⊉363⋥≓≎≴∭⊉-32161=≴∭⊉-65000","layer":0}]}
+{"id":511,"expression_no_base_symbol":"($1652$⨎$3303$)⪮%⊝($1480$∷)","expression":"(≴∭⊉4550⨎≴∭⊉12426)⪮%⊝(≴∭⊉4213∷)","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":1652,"base":7},"right_expr":{"type":"numeric_atoms","value":3303,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1480,"base":7}}},"used_operators":["IWmyXbctLI","rJVOvQCfKK","nFAOW8KTqp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"≴∭⊉26116","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":2},{"info":"number node, value=3303","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=3303, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3303","layer":1},{"info":"number node, value=1480","layer":2},{"info":"compute unary expreesion, input=1480, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4440","layer":1},{"info":"compute binary expreesion, left_input=3303, right_input=4440, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6922","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4550⨎≴∭⊉12426)⪮%⊝(≴∭⊉4213∷)=≴∭⊉26116","reverse_text":"≴∭⊉26116=(≴∭⊉4550⨎≴∭⊉12426)⪮%⊝(≴∭⊉4213∷)","cot":[{"info":"≴∭⊉4550⨎≴∭⊉12426=≴∭⊉12426","layer":1},{"info":"≴∭⊉4213∷=≴∭⊉15642","layer":1},{"info":"≴∭⊉12426⪮%⊝≴∭⊉15642=≴∭⊉26116","layer":0}]}
+{"id":512,"expression_no_base_symbol":"($1389$⪄$1247$)⇪⋭","expression":"(≴∭⊉4023⪄≴∭⊉3431)⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":125,"operation_count":2,"complexity_ratio":62.5,"tree":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1389,"base":7},"right_expr":{"type":"numeric_atoms","value":1247,"base":7}}},"used_operators":["Z8Yg6dlDSp","SUmda5xLS4"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1389","layer":2},{"info":"number node, value=1247","layer":2},{"info":"compute binary expreesion, left_input=1389, right_input=1247, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-206649","layer":1},{"info":"compute unary expreesion, input=-206649, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4023⪄≴∭⊉3431)⇪⋭=NaN","reverse_text":"NaN=(≴∭⊉4023⪄≴∭⊉3431)⇪⋭","cot":[{"info":"≴∭⊉4023⪄≴∭⊉3431=≴∭⊉-1520322","layer":1},{"info":"≴∭⊉-1520322⇪⋭=NaN","layer":0}]}
+{"id":513,"expression_no_base_symbol":"(⊁⨺$1790$)⨿($5609$⨳⩥⨓$3605$)","expression":"(⊁⨺≴∭⊉5135)⨿(≴∭⊉22232⨳⩥⨓≴∭⊉13340)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":237,"operation_count":3,"complexity_ratio":79.0,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1790,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5609,"base":7},"right_expr":{"type":"numeric_atoms","value":3605,"base":7}}},"used_operators":["abYXlopdE0","PxiHyQbrIp","nCS4ZIUYfx"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉-634","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1790","layer":2},{"info":"compute unary expreesion, input=1790, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"number node, value=5609","layer":2},{"info":"number node, value=3605","layer":2},{"info":"compute binary expreesion, left_input=5609, right_input=3605, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2004","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-2004, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":7,"result_base":7,"text":"(⊁⨺≴∭⊉5135)⨿(≴∭⊉22232⨳⩥⨓≴∭⊉13340)=≴∭⊉-634","reverse_text":"≴∭⊉-634=(⊁⨺≴∭⊉5135)⨿(≴∭⊉22232⨳⩥⨓≴∭⊉13340)","cot":[{"info":"⊁⨺≴∭⊉5135=≴∭⊉316","layer":1},{"info":"≴∭⊉22232⨳⩥⨓≴∭⊉13340=≴∭⊉-5562","layer":1},{"info":"≴∭⊉316⨿≴∭⊉-5562=≴∭⊉-634","layer":0}]}
+{"id":514,"expression_no_base_symbol":"(↨⩢⫨$6812$)⩚⊴⇥$5394$⩧⪆$3374$","expression":"(↨⩢⫨≴∭⊉25601)⩚⊴⇥≴∭⊉21504⩧⪆≴∭⊉12560","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71,"operation_count":3,"complexity_ratio":23.666666666666668,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6812,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5394,"base":7},"right_expr":{"type":"numeric_atoms","value":3374,"base":7}}},"used_operators":["NTOWxs364D","Z5CJsN7DuW","Ikt5ks8PT7"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉12325","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6812","layer":2},{"info":"compute unary expreesion, input=6812, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=5394","layer":2},{"info":"number node, value=3374","layer":2},{"info":"compute binary expreesion, left_input=5394, right_input=3374, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3374","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3374, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3253","layer":0}],"base":7,"result_base":7,"text":"(↨⩢⫨≴∭⊉25601)⩚⊴⇥≴∭⊉21504⩧⪆≴∭⊉12560=≴∭⊉12325","reverse_text":"≴∭⊉12325=(↨⩢⫨≴∭⊉25601)⩚⊴⇥≴∭⊉21504⩧⪆≴∭⊉12560","cot":[{"info":"↨⩢⫨≴∭⊉25601=≴∭⊉0","layer":1},{"info":"≴∭⊉21504⩧⪆≴∭⊉12560=≴∭⊉-12560","layer":1},{"info":"≴∭⊉0⩚⊴⇥≴∭⊉-12560=≴∭⊉12325","layer":0}]}
+{"id":515,"expression_no_base_symbol":"(⨵$3117$)⫑%∭","expression":"(⨵≴∭⊉12042)⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1012,"operation_count":2,"complexity_ratio":506.0,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3117,"base":7}}},"used_operators":["xUx7qlDO4z","Tl3Y52tvF8"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3117","layer":2},{"info":"compute unary expreesion, input=3117, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-26145","layer":1},{"info":"compute unary expreesion, input=-26145, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨵≴∭⊉12042)⫑%∭=NaN","reverse_text":"NaN=(⨵≴∭⊉12042)⫑%∭","cot":[{"info":"⨵≴∭⊉12042=≴∭⊉-136140","layer":1},{"info":"≴∭⊉-136140⫑%∭=NaN","layer":0}]}
+{"id":516,"expression_no_base_symbol":"($7551$⨕⋳)⊠≄⫣","expression":"(≴∭⊉31005⨕⋳)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":96,"operation_count":2,"complexity_ratio":48.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":7551,"base":7}}},"used_operators":["DIvbN7qnHd","4X4GscPmMf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7551","layer":2},{"info":"compute unary expreesion, input=7551, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=584116","layer":1},{"info":"compute unary expreesion, input=584116, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31005⨕⋳)⊠≄⫣=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉31005⨕⋳)⊠≄⫣","cot":[{"info":"≴∭⊉31005⨕⋳=≴���⊉4651651","layer":1},{"info":"≴∭⊉4651651⊠≄⫣=≴∭⊉0","layer":0}]}
+{"id":517,"expression_no_base_symbol":"($3452$∲⫓$1113$)∛(⊥$3905$)","expression":"(≴∭⊉13031∲⫓≴∭⊉3150)∛(⊥≴∭⊉14246)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3452,"base":7},"right_expr":{"type":"numeric_atoms","value":1113,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3905,"base":7}}},"used_operators":["w2537kitQq","i8ToyICDmI","Q3PJZHRvZv"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3452","layer":2},{"info":"number node, value=1113","layer":2},{"info":"compute binary expreesion, left_input=3452, right_input=1113, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3905","layer":2},{"info":"compute unary expreesion, input=3905, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13031∲⫓≴∭⊉3150)∛(⊥≴∭⊉14246)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉13031∲⫓≴∭⊉3150)∛(⊥≴∭⊉14246)","cot":[{"info":"≴∭⊉13031∲⫓≴∭⊉3150=≴∭⊉0","layer":1},{"info":"⊥≴∭⊉14246=NaN","layer":1},{"info":"≴∭⊉0∛NaN=≴∭⊉124","layer":0}]}
+{"id":518,"expression_no_base_symbol":"⇤←(⩷⨜⫀$1419$)","expression":"⇤←(⩷⨜⫀≴∭⊉4065)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3476,"operation_count":2,"complexity_ratio":1738.0,"tree":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1419,"base":7}}},"used_operators":["jfAgQ2OQeM","CDi0ktkjQ4"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","ruOEQAzv1W","nhYeJWJD5X"],"result":"≴∭⊉4415","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1419","layer":2},{"info":"compute unary expreesion, input=1419, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1146","layer":1},{"info":"compute unary expreesion, input=-1146, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1580","layer":0}],"base":7,"result_base":7,"text":"⇤←(⩷⨜⫀≴∭⊉4065)=≴∭⊉4415","reverse_text":"≴∭⊉4415=⇤←(⩷⨜⫀≴∭⊉4065)","cot":[{"info":"⩷⨜⫀≴∭⊉4065=≴∭⊉-3225","layer":1},{"info":"⇤←≴∭⊉-3225=≴∭⊉4415","layer":0}]}
+{"id":519,"expression_no_base_symbol":"(∐⩳⋚$3534$)≚⊃≕($3404$⇴$5574$)","expression":"(∐⩳⋚≴∭⊉13206)≚⊃≕(≴∭⊉12632⇴≴∭⊉22152)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":204,"operation_count":3,"complexity_ratio":68.0,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3534,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3404,"base":7},"right_expr":{"type":"numeric_atoms","value":5574,"base":7}}},"used_operators":["Bmrmz2XGnR","SL6IHkK8vl","4JB6nKBMSY"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":2},{"info":"compute unary expreesion, input=3534, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=515251","layer":1},{"info":"number node, value=3404","layer":2},{"info":"number node, value=5574","layer":2},{"info":"compute binary expreesion, left_input=3404, right_input=5574, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31186","layer":1},{"info":"compute binary expreesion, left_input=515251, right_input=31186, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚≴∭⊉13206)≚⊃≕(≴∭⊉12632⇴≴∭⊉22152)=≴∭⊉124","reverse_text":"≴∭⊉124=(∐⩳⋚≴∭⊉13206)≚⊃≕(≴∭⊉12632⇴≴∭⊉22152)","cot":[{"info":"∐⩳⋚≴∭⊉13206=≴∭⊉4244122","layer":1},{"info":"≴∭⊉12632⇴≴∭⊉22152=≴∭⊉156631","layer":1},{"info":"≴∭⊉4244122≚⊃≕≴∭⊉156631=≴∭⊉124","layer":0}]}
+{"id":520,"expression_no_base_symbol":"⊥($6702$⫒⫫$3962$)","expression":"⊥(≴∭⊉25353⫒⫫≴∭⊉14360)","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":6702,"base":7},"right_expr":{"type":"numeric_atoms","value":3962,"base":7}}},"used_operators":["Q3PJZHRvZv","6Ko8hGgeMq"],"dependent_operators":["fu6greOZ01","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6702","layer":2},{"info":"number node, value=3962","layer":2},{"info":"compute binary expreesion, left_input=6702, right_input=3962, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊥(≴∭⊉25353⫒⫫≴∭⊉14360)=NaN","reverse_text":"NaN=⊥(≴∭⊉25353⫒⫫≴∭⊉14360)","cot":[{"info":"≴∭⊉25353⫒⫫≴∭⊉14360=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":521,"expression_no_base_symbol":"($2306$⨫⇇↔$5622$)⨔⇊($2979$≬⇓$3181$)","expression":"(≴∭⊉6503⨫⇇↔≴∭⊉22251)⨔⇊(≴∭⊉11454≬⇓≴∭⊉12163)","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":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2306,"base":7},"right_expr":{"type":"numeric_atoms","value":5622,"base":7}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2979,"base":7},"right_expr":{"type":"numeric_atoms","value":3181,"base":7}}},"used_operators":["JclMnS0uGI","LXhwmt4mBO","jWTQ2TZYIH"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2306","layer":2},{"info":"number node, value=5622","layer":2},{"info":"compute binary expreesion, left_input=2306, right_input=5622, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=2979","layer":2},{"info":"number node, value=3181","layer":2},{"info":"compute binary expreesion, left_input=2979, right_input=3181, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=-22, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6503⨫⇇↔≴∭⊉22251)⨔⇊(≴∭⊉11454≬⇓≴∭⊉12163)=≴∭⊉-31","reverse_text":"≴∭⊉-31=(≴∭⊉6503⨫⇇↔≴∭⊉22251)⨔⇊(≴∭⊉11454≬⇓≴∭⊉12163)","cot":[{"info":"≴∭⊉6503⨫⇇↔≴∭⊉22251=≴∭⊉-1352","layer":1},{"info":"≴∭⊉11454≬⇓≴∭⊉12163=≴∭⊉-31","layer":1},{"info":"≴∭⊉-1352⨔⇊≴∭⊉-31=≴∭⊉-31","layer":0}]}
+{"id":522,"expression_no_base_symbol":"$6755$⪎↠$2852$⪢(↪⫪⫘$4441$)","expression":"≴∭⊉25460⪎↠≴∭⊉11213⪢(↪⫪⫘≴∭⊉15643)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":245,"operation_count":3,"complexity_ratio":81.66666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6755,"base":7},"right_expr":{"type":"numeric_atoms","value":2852,"base":7}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4441,"base":7}}},"used_operators":["dWAJyo7jo9","3tVxb0NHM4","9dWsAM3GFt"],"dependent_operators":["k8jYdgA6NY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6755","layer":2},{"info":"number node, value=2852","layer":2},{"info":"compute binary expreesion, left_input=6755, right_input=2852, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=4441","layer":2},{"info":"compute unary expreesion, input=4441, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=20, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":7,"result_base":7,"text":"≴∭⊉25460⪎↠≴∭⊉11213⪢(↪⫪⫘≴∭⊉15643)=NaN","reverse_text":"NaN=≴∭⊉25460⪎↠≴∭⊉11213⪢(↪⫪⫘≴∭⊉15643)","cot":[{"info":"≴∭⊉25460⪎↠≴∭⊉11213=≴∭⊉316","layer":1},{"info":"↪⫪⫘≴∭⊉15643=≴∭⊉26","layer":1},{"info":"≴∭⊉316⪢≴∭⊉26=NaN","layer":0}]}
+{"id":523,"expression_no_base_symbol":"$1018$≳⇉$6244$⪡$5677$⨂≜$1169$","expression":"≴∭⊉2653≳⇉≴∭⊉24130⪡≴∭⊉22360⨂≜≴∭⊉3260","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":592416291,"operation_count":3,"complexity_ratio":197472097.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1018,"base":7},"right_expr":{"type":"numeric_atoms","value":6244,"base":7}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5677,"base":7},"right_expr":{"type":"numeric_atoms","value":1169,"base":7}}},"used_operators":["oraRL2iQuh","V0kx6qeWkN","k1SHOSEABc"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1018","layer":2},{"info":"number node, value=6244","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=6244, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=5677","layer":2},{"info":"number node, value=1169","layer":2},{"info":"compute binary expreesion, left_input=5677, right_input=1169, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2653≳⇉≴∭⊉24130⪡≴∭⊉22360⨂≜≴∭⊉3260=NaN","reverse_text":"NaN=≴∭⊉2653≳⇉≴∭⊉24130⪡≴∭⊉22360⨂≜≴∭⊉3260","cot":[{"info":"≴∭⊉2653≳⇉≴∭⊉24130=NaN","layer":1},{"info":"≴∭⊉22360⨂≜≴∭⊉3260=NaN","layer":1},{"info":"NaN⪡NaN=NaN","layer":0}]}
+{"id":524,"expression_no_base_symbol":"(⊑$4562$)⇼⇔∾$4717$⨽$1416$","expression":"(⊑≴∭⊉16205)⇼⇔∾≴∭⊉16516⨽≴∭⊉4062","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5137,"operation_count":3,"complexity_ratio":1712.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":4562,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4717,"base":7},"right_expr":{"type":"numeric_atoms","value":1416,"base":7}}},"used_operators":["tifHPKVTfV","IkUmn0D7oy","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≴∭⊉-1440252210","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4562","layer":2},{"info":"compute unary expreesion, input=4562, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=4717","layer":2},{"info":"number node, value=1416","layer":2},{"info":"compute binary expreesion, left_input=4717, right_input=1416, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66753201","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-66753201, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-66753393","layer":0}],"base":7,"result_base":7,"text":"(⊑≴∭⊉16205)⇼⇔∾≴∭⊉16516⨽≴∭⊉4062=≴∭⊉-1440252210","reverse_text":"≴∭⊉-1440252210=(⊑≴∭⊉16205)⇼⇔∾≴∭⊉16516⨽≴∭⊉4062","cot":[{"info":"⊑≴∭⊉16205=≴∭⊉363","layer":1},{"info":"≴∭⊉16516⨽≴∭⊉4062=≴∭⊉-1440251514","layer":1},{"info":"≴∭⊉363⇼⇔∾≴∭⊉-1440251514=≴∭⊉-1440252210","layer":0}]}
+{"id":525,"expression_no_base_symbol":"(∜⨇$2811$)∑⇟⊟($1516$⫲≸⪮$6879$)","expression":"(∜⨇≴∭⊉11124)∑⇟⊟(≴∭⊉4264⫲≸⪮≴∭⊉26025)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1574,"operation_count":3,"complexity_ratio":524.6666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2811,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1516,"base":7},"right_expr":{"type":"numeric_atoms","value":6879,"base":7}}},"used_operators":["U7g4x0WXJJ","uFPyJr306J","P3lXMJvFrc"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2811","layer":2},{"info":"compute unary expreesion, input=2811, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"number node, value=1516","layer":2},{"info":"number node, value=6879","layer":2},{"info":"compute binary expreesion, left_input=1516, right_input=6879, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1516","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1516, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∜⨇≴∭⊉11124)∑⇟⊟(≴∭⊉4264⫲≸⪮≴∭⊉26025)=NaN","reverse_text":"NaN=(∜⨇≴∭⊉11124)∑⇟⊟(≴∭⊉4264⫲≸⪮≴∭⊉26025)","cot":[{"info":"∜⨇≴∭⊉11124=NaN","layer":1},{"info":"≴∭⊉4264⫲≸⪮≴∭⊉26025=≴∭⊉4264","layer":1},{"info":"NaN∑⇟⊟≴∭⊉4264=NaN","layer":0}]}
+{"id":526,"expression_no_base_symbol":"($1018$⇴∐$7869$)≁↽≥(↣≠⋷$1270$)","expression":"(≴∭⊉2653⇴∐≴∭⊉31641)≁↽≥(↣≠⋷≴∭⊉3463)","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":1018,"base":7},"right_expr":{"type":"numeric_atoms","value":7869,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1270,"base":7}}},"used_operators":["ncHt1X6cMc","HnzytWxmAO","Asc51vEJeQ"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1018","layer":2},{"info":"number node, value=7869","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=7869, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1270","layer":2},{"info":"compute unary expreesion, input=1270, 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 = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2653⇴∐≴∭⊉31641)≁↽≥(↣≠⋷≴∭⊉3463)=NaN","reverse_text":"NaN=(≴∭⊉2653⇴∐≴∭⊉31641)≁↽≥(↣≠⋷≴∭⊉3463)","cot":[{"info":"≴∭⊉2653⇴∐≴∭⊉31641=NaN","layer":1},{"info":"↣≠⋷≴∭⊉3463=NaN","layer":1},{"info":"NaN≁↽≥NaN=NaN","layer":0}]}
+{"id":527,"expression_no_base_symbol":"⨩∲⋌(⇜⊴$1418$)","expression":"⨩∲⋌(⇜⊴≴∭⊉4064)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":81,"operation_count":2,"complexity_ratio":40.5,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1418,"base":7}}},"used_operators":["aSik1wnThz","XwDhCwWbUn"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"≴∭⊉-2503656","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":2},{"info":"compute unary expreesion, input=1418, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-320934","layer":1},{"info":"compute unary expreesion, input=-320934, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-320697","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌(⇜⊴≴∭⊉4064)=≴∭⊉-2503656","reverse_text":"≴∭⊉-2503656=⨩∲⋌(⇜⊴≴∭⊉4064)","cot":[{"info":"⇜⊴≴∭⊉4064=≴∭⊉-2504445","layer":1},{"info":"⨩∲⋌≴∭⊉-2504445=≴∭⊉-2503656","layer":0}]}
+{"id":528,"expression_no_base_symbol":"$5846$≳⇉$4387$⫌⩉⩟$1668$⊕∕$1861$","expression":"≴∭⊉23021≳⇉≴∭⊉15535⫌⩉⩟≴∭⊉4602⊕∕≴∭⊉5266","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":236623212,"operation_count":3,"complexity_ratio":78874404.0,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5846,"base":7},"right_expr":{"type":"numeric_atoms","value":4387,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1668,"base":7},"right_expr":{"type":"numeric_atoms","value":1861,"base":7}}},"used_operators":["XIIwhv8d0m","V0kx6qeWkN","9cloC0Ngie"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5846","layer":2},{"info":"number node, value=4387","layer":2},{"info":"compute binary expreesion, left_input=5846, right_input=4387, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=1668","layer":2},{"info":"number node, value=1861","layer":2},{"info":"compute binary expreesion, left_input=1668, right_input=1861, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1668","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1668, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23021≳⇉≴∭⊉15535⫌⩉⩟≴∭⊉4602⊕∕≴∭⊉5266=≴∭⊉-101","reverse_text":"≴∭⊉-101=≴∭⊉23021≳⇉≴∭⊉15535⫌⩉⩟≴∭⊉4602⊕∕≴∭⊉5266","cot":[{"info":"≴∭⊉23021≳⇉≴∭⊉15535=NaN","layer":1},{"info":"≴∭⊉4602⊕∕≴∭⊉5266=≴∭⊉4602","layer":1},{"info":"NaN⫌⩉⩟≴∭⊉4602=≴∭⊉-101","layer":0}]}
+{"id":529,"expression_no_base_symbol":"(⨰⫟⨤$4208$)↺$1331$⋛$1267$","expression":"(⨰⫟⨤≴∭⊉15161)↺≴∭⊉3611⋛≴∭⊉3460","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16258,"operation_count":3,"complexity_ratio":5419.333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4208,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":1267,"base":7}}},"used_operators":["7j4O788W3g","Tw270M8GLb","YbUVn0Rbpy"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉-1010322","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4208","layer":2},{"info":"compute unary expreesion, input=4208, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1331","layer":2},{"info":"number node, value=1267","layer":2},{"info":"compute binary expreesion, left_input=1331, right_input=1267, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-120213","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-120213, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-120213","layer":0}],"base":7,"result_base":7,"text":"(⨰⫟⨤≴∭⊉15161)↺≴���⊉3611⋛≴∭⊉3460=≴∭⊉-1010322","reverse_text":"≴∭⊉-1010322=(⨰⫟⨤≴∭⊉15161)↺≴∭⊉3611⋛≴∭⊉3460","cot":[{"info":"⨰⫟⨤≴∭⊉15161=NaN","layer":1},{"info":"≴∭⊉3611⋛≴∭⊉3460=≴∭⊉-1010322","layer":1},{"info":"NaN↺≴∭⊉-1010322=≴∭⊉-1010322","layer":0}]}
+{"id":530,"expression_no_base_symbol":"(⊄⩳↩$1244$)↺($1307$⪄$1352$)","expression":"(⊄⩳↩≴∭⊉3425)↺(≴∭⊉3545⪄≴∭⊉3641)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100,"operation_count":3,"complexity_ratio":33.333333333333336,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1244,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1307,"base":7},"right_expr":{"type":"numeric_atoms","value":1352,"base":7}}},"used_operators":["7j4O788W3g","8w2t5hMYqp","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-1441214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":2},{"info":"compute unary expreesion, input=1244, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3732","layer":1},{"info":"number node, value=1307","layer":2},{"info":"number node, value=1352","layer":2},{"info":"compute binary expreesion, left_input=1307, right_input=1352, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-194933","layer":1},{"info":"compute binary expreesion, left_input=-3732, right_input=-194933, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-194933","layer":0}],"base":7,"result_base":7,"text":"(⊄⩳↩≴∭⊉3425)↺(≴∭⊉3545⪄≴∭⊉3641)=≴∭⊉-1441214","reverse_text":"≴∭⊉-1441214=(⊄⩳↩≴∭⊉3425)↺(≴∭⊉3545⪄≴∭⊉3641)","cot":[{"info":"⊄⩳↩≴∭⊉3425=≴∭⊉-13611","layer":1},{"info":"≴∭⊉3545⪄≴∭⊉3641=≴∭⊉-1441214","layer":1},{"info":"≴∭⊉-13611↺≴∭⊉-1441214=≴∭⊉-1441214","layer":0}]}
+{"id":531,"expression_no_base_symbol":"(⇜$3741$)*$6141$⋓$1051$","expression":"(⇜≴∭⊉13623)*≴∭⊉23622⋓≴∭⊉3031","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":334,"operation_count":3,"complexity_ratio":111.33333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3741,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6141,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"used_operators":["9HNa5Wba9A","lFBm8KRb8F","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3741","layer":2},{"info":"compute unary expreesion, input=3741, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-30336","layer":1},{"info":"number node, value=6141","layer":2},{"info":"number node, value=1051","layer":2},{"info":"compute binary expreesion, left_input=6141, right_input=1051, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-30336, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":7,"result_base":7,"text":"(⇜≴∭⊉13623)*≴∭⊉23622⋓≴∭⊉3031=≴∭⊉0","reverse_text":"≴∭⊉0=(⇜≴∭⊉13623)*≴∭⊉23622⋓≴∭⊉3031","cot":[{"info":"⇜≴∭⊉13623=≴∭⊉-154305","layer":1},{"info":"≴∭⊉23622⋓≴∭⊉3031=≴∭⊉0","layer":1},{"info":"≴∭⊉-154305*≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":532,"expression_no_base_symbol":"($1050$⨰$1564$)⫁⪎$3971$≎⪠$1625$","expression":"(≴∭⊉3030⨰≴∭⊉4363)⫁⪎≴∭⊉14402≎⪠≴∭⊉4511","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19120,"operation_count":3,"complexity_ratio":6373.333333333333,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1050,"base":7},"right_expr":{"type":"numeric_atoms","value":1564,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3971,"base":7},"right_expr":{"type":"numeric_atoms","value":1625,"base":7}}},"used_operators":["xRrnTEsQ6j","eewbuw0ToL","aNhz54LH3e"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉-112330","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=1564, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-504","layer":1},{"info":"number node, value=3971","layer":2},{"info":"number node, value=1625","layer":2},{"info":"compute binary expreesion, left_input=3971, right_input=1625, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=-504, right_input=19558, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-20062","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3030⨰≴∭⊉4363)⫁⪎≴∭⊉14402≎⪠≴∭⊉4511=≴∭⊉-112330","reverse_text":"≴∭⊉-112330=(≴∭⊉3030⨰≴∭⊉4363)⫁⪎≴∭⊉14402≎⪠≴∭⊉4511","cot":[{"info":"≴∭⊉3030⨰≴∭⊉4363=≴∭⊉-1320","layer":1},{"info":"≴∭⊉14402≎⪠≴∭⊉4511=≴∭⊉111010","layer":1},{"info":"≴∭⊉-1320⫁⪎≴∭⊉111010=≴∭⊉-112330","layer":0}]}
+{"id":533,"expression_no_base_symbol":"(⇵⪽$2505$)⨑⩅≇($1299$≭$4570$)","expression":"(⇵⪽≴∭⊉10206)⨑⩅≇(≴∭⊉3534≭≴∭⊉16216)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2505,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1299,"base":7},"right_expr":{"type":"numeric_atoms","value":4570,"base":7}}},"used_operators":["h92wMvzauj","ZGCBLdVRRX","rxpJgHHUmx"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","U7g4x0WXJJ","AHs5Up7iyr"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2505","layer":2},{"info":"compute unary expreesion, input=2505, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"number node, value=1299","layer":2},{"info":"number node, value=4570","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=4570, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":7,"result_base":7,"text":"(⇵⪽≴∭⊉10206)⨑⩅≇(≴∭⊉3534≭≴∭⊉16216)=≴∭⊉2504","reverse_text":"≴∭⊉2504=(⇵⪽≴∭⊉10206)⨑⩅≇(≴∭⊉3534≭≴∭⊉16216)","cot":[{"info":"⇵⪽≴∭⊉10206=NaN","layer":1},{"info":"≴∭⊉3534≭≴∭⊉16216=NaN","layer":1},{"info":"NaN⨑⩅≇NaN=≴∭⊉2504","layer":0}]}
+{"id":534,"expression_no_base_symbol":"$1481$⫒⫫$2196$⨓($1056$⪨≂$2222$)","expression":"≴∭⊉4214⫒⫫≴∭⊉6255⨓(≴∭⊉3036⪨≂≴∭⊉6323)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2245,"operation_count":3,"complexity_ratio":748.3333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1481,"base":7},"right_expr":{"type":"numeric_atoms","value":2196,"base":7}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1056,"base":7},"right_expr":{"type":"numeric_atoms","value":2222,"base":7}}},"used_operators":["3ViojmjbAp","6Ko8hGgeMq","sdazOOVcIp"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉6331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":2},{"info":"number node, value=2196","layer":2},{"info":"compute binary expreesion, left_input=1481, right_input=2196, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1056","layer":2},{"info":"number node, value=2222","layer":2},{"info":"compute binary expreesion, left_input=1056, right_input=2222, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2230","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2230, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2227","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4214⫒⫫≴∭⊉6255⨓(≴∭⊉3036⪨≂≴∭⊉6323)=≴∭⊉6331","reverse_text":"≴∭⊉6331=≴∭⊉4214⫒⫫≴∭⊉6255⨓(≴∭⊉3036⪨≂≴∭⊉6323)","cot":[{"info":"≴∭⊉4214⫒⫫≴∭⊉6255=NaN","layer":1},{"info":"≴∭⊉3036⪨≂≴∭⊉6323=≴∭⊉-6334","layer":1},{"info":"NaN⨓≴∭⊉-6334=≴∭⊉6331","layer":0}]}
+{"id":535,"expression_no_base_symbol":"($2062$⇆⨓≜)∽(⇖⫷⫕$3187$)","expression":"(≴∭⊉6004⇆⨓≜)∽(⇖⫷⫕≴∭⊉12202)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":933,"operation_count":3,"complexity_ratio":311.0,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2062,"base":7}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3187,"base":7}}},"used_operators":["y4ImoPnbV5","KvvgdUaMHJ","UHmRx3INFg"],"dependent_operators":["NTOWxs364D","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2062","layer":2},{"info":"compute unary expreesion, input=2062, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"number node, value=3187","layer":2},{"info":"compute unary expreesion, input=3187, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6004⇆⨓≜)∽(⇖⫷⫕≴∭⊉12202)=NaN","reverse_text":"NaN=(≴∭⊉6004⇆⨓≜)∽(⇖⫷⫕≴∭⊉12202)","cot":[{"info":"≴∭⊉6004⇆⨓≜=NaN","layer":1},{"info":"⇖⫷⫕≴∭⊉12202=≴∭⊉11141","layer":1},{"info":"NaN∽≴∭⊉11141=NaN","layer":0}]}
+{"id":536,"expression_no_base_symbol":"($3927$⇪⋭)∠↢(⪛⨧$1678$)","expression":"(≴∭⊉14310⇪⋭)∠↢(⪛⨧≴∭⊉4615)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3927,"base":7}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1678,"base":7}}},"used_operators":["KbjG8mgYpV","Z8Yg6dlDSp","6NJAcO2OWT"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3927","layer":2},{"info":"compute unary expreesion, input=3927, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"number node, value=1678","layer":2},{"info":"compute unary expreesion, input=1678, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4757","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4757, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14310⇪⋭)∠↢(⪛⨧≴∭⊉4615)=NaN","reverse_text":"NaN=(≴∭⊉14310⇪⋭)∠↢(⪛⨧≴∭⊉4615)","cot":[{"info":"≴∭⊉14310⇪⋭=NaN","layer":1},{"info":"⪛⨧≴∭⊉4615=≴∭⊉16604","layer":1},{"info":"NaN∠↢≴∭⊉16604=NaN","layer":0}]}
+{"id":537,"expression_no_base_symbol":"⇜⊴($3738$⪗)","expression":"⇜⊴(≴∭⊉13620⪗)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3818,"operation_count":2,"complexity_ratio":1909.0,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":3738,"base":7}}},"used_operators":["XwDhCwWbUn","VEQNXA0ZBg"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3738","layer":2},{"info":"compute unary expreesion, input=3738, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇜⊴(≴∭⊉13620⪗)=NaN","reverse_text":"NaN=⇜⊴(≴∭⊉13620⪗)","cot":[{"info":"≴∭⊉13620⪗=NaN","layer":1},{"info":"⇜⊴NaN=NaN","layer":0}]}
+{"id":538,"expression_no_base_symbol":"($1612$⫡⨏$1609$)⊝⪿⪼($6396$⫚↹⊑$1241$)","expression":"(≴∭⊉4462⫡⨏≴∭⊉4456)⊝⪿⪼(≴∭⊉24435⫚↹⊑≴∭⊉3422)","highest_n_order":1,"priority_hierarchical_complexity":2,"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":1612,"base":7},"right_expr":{"type":"numeric_atoms","value":1609,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6396,"base":7},"right_expr":{"type":"numeric_atoms","value":1241,"base":7}}},"used_operators":["3Oe9XWJUTD","QMFrweE19q","dfKe02y8D2"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉1265300","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":2},{"info":"number node, value=1609","layer":2},{"info":"compute binary expreesion, left_input=1612, right_input=1609, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12061","layer":1},{"info":"number node, value=6396","layer":2},{"info":"number node, value=1241","layer":2},{"info":"compute binary expreesion, left_input=6396, right_input=1241, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=12061, right_input=-447, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=167531","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4462⫡⨏≴∭⊉4456)⊝⪿⪼(≴∭⊉24435⫚↹⊑≴∭⊉3422)=≴∭⊉1265300","reverse_text":"≴∭⊉1265300=(≴∭⊉4462⫡⨏≴∭⊉4456)⊝⪿⪼(≴∭⊉24435⫚↹⊑≴∭⊉3422)","cot":[{"info":"≴∭⊉4462⫡⨏≴∭⊉4456=≴∭⊉50110","layer":1},{"info":"≴∭⊉24435⫚↹⊑≴∭⊉3422=≴∭⊉-1206","layer":1},{"info":"≴∭⊉50110⊝⪿⪼≴∭⊉-1206=≴∭⊉1265300","layer":0}]}
+{"id":539,"expression_no_base_symbol":"$4713$⨿$3125$↙$6468$⨔≚≋$1583$","expression":"≴∭⊉16512⨿≴∭⊉12053↙≴∭⊉24600⨔≚≋≴∭⊉4421","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":273,"operation_count":3,"complexity_ratio":91.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4713,"base":7},"right_expr":{"type":"numeric_atoms","value":3125,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6468,"base":7},"right_expr":{"type":"numeric_atoms","value":1583,"base":7}}},"used_operators":["yyfyN0ffXY","abYXlopdE0","Z57zeUYC9z"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉-634","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4713","layer":2},{"info":"number node, value=3125","layer":2},{"info":"compute binary expreesion, left_input=4713, right_input=3125, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=6468","layer":2},{"info":"number node, value=1583","layer":2},{"info":"compute binary expreesion, left_input=6468, right_input=1583, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=9872, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-319","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16512⨿≴∭⊉12053↙≴∭⊉24600⨔≚≋≴∭⊉4421=≴∭⊉-634","reverse_text":"≴∭⊉-634=≴∭⊉16512⨿≴∭⊉12053↙≴∭⊉24600⨔≚≋≴∭⊉4421","cot":[{"info":"≴∭⊉16512⨿≴∭⊉12053=≴∭⊉-634","layer":1},{"info":"≴∭⊉24600⨔≚≋≴∭⊉4421=≴∭⊉40532","layer":1},{"info":"≴∭⊉-634↙≴∭⊉40532=≴∭⊉-634","layer":0}]}
+{"id":540,"expression_no_base_symbol":"(-$5364$)⊢(≸≮$1454$)","expression":"(-≴∭⊉21432)⊢(≸≮≴∭⊉4145)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9942,"operation_count":3,"complexity_ratio":3314.0,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5364,"base":7}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1454,"base":7}}},"used_operators":["5twsqlHp2o","t8gj7n24qd","AljMvE3RRm"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"≴∭⊉42365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5364","layer":2},{"info":"compute unary expreesion, input=5364, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5364","layer":1},{"info":"number node, value=1454","layer":2},{"info":"compute unary expreesion, input=1454, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5364, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=10484","layer":0}],"base":7,"result_base":7,"text":"(-≴∭⊉21432)⊢(≸≮≴∭⊉4145)=≴∭⊉42365","reverse_text":"≴∭⊉42365=(-≴∭⊉21432)⊢(≸≮≴∭⊉4145)","cot":[{"info":"-≴∭⊉21432=≴∭⊉-21432","layer":1},{"info":"≸≮≴∭⊉4145=NaN","layer":1},{"info":"≴∭⊉-21432⊢NaN=≴∭⊉42365","layer":0}]}
+{"id":541,"expression_no_base_symbol":"($7736$⫃⨇$3900$)⫞⩸⩒($2574$≚⊃≕$3747$)","expression":"(≴∭⊉31361⫃⨇≴∭⊉14241)⫞⩸⩒(≴∭⊉10335≚⊃≕≴∭⊉13632)","highest_n_order":2,"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":7736,"base":7},"right_expr":{"type":"numeric_atoms","value":3900,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2574,"base":7},"right_expr":{"type":"numeric_atoms","value":3747,"base":7}}},"used_operators":["XGcMNugi78","09Ly4LVMIf","Bmrmz2XGnR"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-63401","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7736","layer":2},{"info":"number node, value=3900","layer":2},{"info":"compute binary expreesion, left_input=7736, right_input=3900, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15632","layer":1},{"info":"number node, value=2574","layer":2},{"info":"number node, value=3747","layer":2},{"info":"compute binary expreesion, left_input=2574, right_input=3747, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-15632, right_input=67, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-15632","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31361⫃⨇≴∭⊉14241)⫞⩸⩒(≴∭⊉10335≚⊃≕≴∭⊉13632)=≴∭⊉-63401","reverse_text":"≴∭⊉-63401=(≴∭⊉31361⫃⨇≴∭⊉14241)⫞⩸⩒(≴∭⊉10335≚⊃≕≴∭⊉13632)","cot":[{"info":"≴∭⊉31361⫃⨇≴∭⊉14241=≴∭⊉-63401","layer":1},{"info":"≴∭⊉10335≚⊃≕≴∭⊉13632=≴∭⊉124","layer":1},{"info":"≴∭⊉-63401⫞⩸⩒≴∭⊉124=≴∭⊉-63401","layer":0}]}
+{"id":542,"expression_no_base_symbol":"($1804$⋫)⫁(⫟$2675$)","expression":"(≴∭⊉5155⋫)⫁(⫟≴∭⊉10541)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23277,"operation_count":3,"complexity_ratio":7759.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1804,"base":7}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2675,"base":7}}},"used_operators":["0ajvFaJAv0","JL8yIekQnl","z4E1FaHLuy"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","tmPS8pqC7x","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":2},{"info":"compute unary expreesion, input=1804, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1804","layer":1},{"info":"number node, value=2675","layer":2},{"info":"compute unary expreesion, input=2675, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-7118","layer":1},{"info":"compute binary expreesion, left_input=1804, right_input=-7118, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5155⋫)⫁(⫟≴∭⊉10541)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉5155⋫)⫁(⫟≴∭⊉10541)","cot":[{"info":"≴∭⊉5155⋫=≴∭⊉5155","layer":1},{"info":"⫟≴∭⊉10541=≴∭⊉-26516","layer":1},{"info":"≴∭⊉5155⫁≴∭⊉-26516=≴∭⊉316","layer":0}]}
+{"id":543,"expression_no_base_symbol":"$4355$⫉⨲⊜$2129$∀⋜↑","expression":"≴∭⊉15461⫉⨲⊜≴∭⊉6131∀⋜↑","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4355,"base":7},"right_expr":{"type":"numeric_atoms","value":2129,"base":7}}},"used_operators":["KipPnG1M2J","WhqkvtTD3t"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉-1261","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4355","layer":2},{"info":"number node, value=2129","layer":2},{"info":"compute binary expreesion, left_input=4355, right_input=2129, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15461⫉⨲⊜≴∭⊉6131∀⋜↑=≴∭⊉-1261","reverse_text":"≴∭⊉-1261=≴∭⊉15461⫉⨲⊜≴∭⊉6131∀⋜↑","cot":[{"info":"≴∭⊉15461⫉⨲⊜≴∭⊉6131=≴∭⊉0","layer":1},{"info":"≴∭⊉0∀⋜↑=≴∭⊉-1261","layer":0}]}
+{"id":544,"expression_no_base_symbol":"($1445$⪘⫢$5486$)⊝⪿⪼($3359$⇼⇔∾$1611$)","expression":"(≴∭⊉4133⪘⫢≴∭⊉21665)⊝⪿⪼(≴∭⊉12536⇼⇔∾≴∭⊉4461)","highest_n_order":2,"priority_hierarchical_complexity":2,"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":1445,"base":7},"right_expr":{"type":"numeric_atoms","value":5486,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3359,"base":7},"right_expr":{"type":"numeric_atoms","value":1611,"base":7}}},"used_operators":["3Oe9XWJUTD","oacrs7FA3X","tifHPKVTfV"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉263504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1445","layer":2},{"info":"number node, value=5486","layer":2},{"info":"compute binary expreesion, left_input=1445, right_input=5486, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2766","layer":1},{"info":"number node, value=3359","layer":2},{"info":"number node, value=1611","layer":2},{"info":"compute binary expreesion, left_input=3359, right_input=1611, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1748","layer":1},{"info":"compute binary expreesion, left_input=2766, right_input=-1748, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=49298","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4133⪘⫢≴∭⊉21665)⊝⪿⪼(≴∭⊉12536⇼⇔∾≴∭⊉4461)=≴∭⊉263504","reverse_text":"≴∭⊉263504=(≴∭⊉4133⪘⫢≴∭⊉21665)⊝⪿⪼(≴∭⊉12536⇼⇔∾≴∭⊉4461)","cot":[{"info":"≴∭⊉4133⪘⫢≴∭⊉21665=≴∭⊉11031","layer":1},{"info":"≴∭⊉12536⇼⇔∾≴∭⊉4461=≴∭⊉-5045","layer":1},{"info":"≴∭⊉11031⊝⪿⪼≴∭⊉-5045=≴∭⊉263504","layer":0}]}
+{"id":545,"expression_no_base_symbol":"⊖(∑⇻≧$1117$)","expression":"⊖(∑⇻≧≴∭⊉3154)","highest_n_order":1,"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":1117,"base":7}}},"used_operators":["U6pG0PXrV3","l1M9WJ3V7u"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"≴∭⊉10311","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":2},{"info":"compute unary expreesion, input=1117, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute unary expreesion, input=-852, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=2556","layer":0}],"base":7,"result_base":7,"text":"⊖(∑⇻≧≴∭⊉3154)=≴∭⊉10311","reverse_text":"≴∭⊉10311=⊖(∑⇻≧≴∭⊉3154)","cot":[{"info":"∑⇻≧≴∭⊉3154=≴∭⊉-2325","layer":1},{"info":"⊖≴∭⊉-2325=≴∭⊉10311","layer":0}]}
+{"id":546,"expression_no_base_symbol":"⊤⊝$1423$⩁⩘$5303$","expression":"⊤⊝≴∭⊉4102⩁⩘≴∭⊉21314","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":1423,"base":7},"right_expr":{"type":"numeric_atoms","value":5303,"base":7}}},"used_operators":["rXAclfmB4M","gub5Cegaqo"],"dependent_operators":["sdazOOVcIp","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉236300","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1423","layer":2},{"info":"number node, value=5303","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=5303, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=22160","layer":1},{"info":"compute unary expreesion, input=22160, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=43022","layer":0}],"base":7,"result_base":7,"text":"⊤⊝≴∭⊉4102⩁⩘≴∭⊉21314=≴∭⊉236300","reverse_text":"≴∭⊉236300=⊤⊝≴∭⊉4102⩁⩘≴∭⊉21314","cot":[{"info":"≴∭⊉4102⩁⩘≴∭⊉21314=≴∭⊉121415","layer":1},{"info":"⊤⊝≴∭⊉121415=≴∭⊉236300","layer":0}]}
+{"id":547,"expression_no_base_symbol":"(⋗⩬⋾$3168$)⋝⋈⪟$1567$⇌⫙⪟$7755$","expression":"(⋗⩬⋾≴∭⊉12144)⋝⋈⪟≴∭⊉4366⇌⫙⪟≴∭⊉31416","highest_n_order":1,"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":3168,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1567,"base":7},"right_expr":{"type":"numeric_atoms","value":7755,"base":7}}},"used_operators":["2DDjHMKMc0","DpFCA1CohY","AFVx7xoS7T"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"≴∭⊉-36465","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3168","layer":2},{"info":"compute unary expreesion, input=3168, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9504","layer":1},{"info":"number node, value=1567","layer":2},{"info":"number node, value=7755","layer":2},{"info":"compute binary expreesion, left_input=1567, right_input=7755, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-9504, right_input=113, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9504","layer":0}],"base":7,"result_base":7,"text":"(⋗⩬⋾≴∭⊉12144)⋝⋈⪟≴∭⊉4366⇌⫙⪟≴∭⊉31416=≴∭⊉-36465","reverse_text":"≴∭⊉-36465=(⋗⩬⋾≴∭⊉12144)⋝⋈⪟≴∭⊉4366⇌⫙⪟≴∭⊉31416","cot":[{"info":"⋗⩬⋾≴∭⊉12144=≴∭⊉-36465","layer":1},{"info":"≴∭⊉4366⇌⫙⪟≴∭⊉31416=≴∭⊉221","layer":1},{"info":"≴∭⊉-36465⋝⋈⪟≴∭⊉221=≴∭⊉-36465","layer":0}]}
+{"id":548,"expression_no_base_symbol":"(⨙⪌$1834$)≁($2424$⊢$1638$)","expression":"(⨙⪌≴∭⊉5230)≁(≴∭⊉10032⊢≴∭⊉4530)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1032,"operation_count":3,"complexity_ratio":344.0,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1834,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2424,"base":7},"right_expr":{"type":"numeric_atoms","value":1638,"base":7}}},"used_operators":["8N2wDY1A35","vEGLkm4Z2k","5twsqlHp2o"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≴∭⊉-1205153","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":2},{"info":"compute unary expreesion, input=1834, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=2424","layer":2},{"info":"number node, value=1638","layer":2},{"info":"compute binary expreesion, left_input=2424, right_input=1638, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5092","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-5092, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-153065","layer":0}],"base":7,"result_base":7,"text":"(⨙⪌≴∭⊉5230)≁(≴∭⊉10032⊢≴∭⊉4530)=≴∭⊉-1205153","reverse_text":"≴∭⊉-1205153=(⨙⪌≴∭⊉5230)≁(≴∭⊉10032⊢≴∭⊉4530)","cot":[{"info":"⨙⪌≴∭⊉5230=≴∭⊉2350","layer":1},{"info":"≴∭⊉10032⊢≴∭⊉4530=≴∭⊉-20563","layer":1},{"info":"≴∭⊉2350≁≴∭⊉-20563=≴∭⊉-1205153","layer":0}]}
+{"id":549,"expression_no_base_symbol":"($1685$⊠≄⫣)⫗⊷⫓($2581$⨐⩸⫘$6600$)","expression":"(≴∭⊉4625⊠≄⫣)⫗⊷⫓(≴∭⊉10345⨐⩸⫘≴∭⊉25146)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":393,"operation_count":3,"complexity_ratio":131.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1685,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2581,"base":7},"right_expr":{"type":"numeric_atoms","value":6600,"base":7}}},"used_operators":["zashukvMKz","DIvbN7qnHd","fu6greOZ01"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1685","layer":2},{"info":"compute unary expreesion, input=1685, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2581","layer":2},{"info":"number node, value=6600","layer":2},{"info":"compute binary expreesion, left_input=2581, right_input=6600, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4625⊠≄⫣)⫗⊷⫓(≴∭⊉10345⨐⩸⫘≴∭⊉25146)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉4625⊠≄⫣)⫗⊷⫓(≴∭⊉10345⨐⩸⫘≴∭⊉25146)","cot":[{"info":"≴∭⊉4625⊠≄⫣=≴∭⊉0","layer":1},{"info":"≴∭⊉10345⨐⩸⫘≴∭⊉25146=NaN","layer":1},{"info":"≴∭⊉0⫗⊷⫓NaN=≴∭⊉-251","layer":0}]}
+{"id":550,"expression_no_base_symbol":"⊽(⋗⩴⪓$2841$)","expression":"⊽(⋗⩴⪓≴∭⊉11166)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2892,"operation_count":2,"complexity_ratio":1446.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2841,"base":7}}},"used_operators":["QxG7OkqoLX","nOKPl9n5zu"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2841","layer":2},{"info":"compute unary expreesion, input=2841, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1928","layer":1},{"info":"compute unary expreesion, input=-1928, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⊽(⋗⩴⪓≴∭⊉11166)=≴∭⊉0","reverse_text":"≴∭⊉0=⊽(⋗⩴⪓≴∭⊉11166)","cot":[{"info":"⋗⩴⪓≴∭⊉11166=≴∭⊉-5423","layer":1},{"info":"⊽≴∭⊉-5423=≴∭⊉0","layer":0}]}
+{"id":551,"expression_no_base_symbol":"($2800$↱$1298$)≓∲(≇⪴$2166$)","expression":"(≴∭⊉11110↱≴∭⊉3533)≓∲(≇⪴≴∭⊉6213)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":237,"operation_count":3,"complexity_ratio":79.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2800,"base":7},"right_expr":{"type":"numeric_atoms","value":1298,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2166,"base":7}}},"used_operators":["s1XTVnmDOJ","SR5kFfdi6N","zoVPnxeHJ3"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2800","layer":2},{"info":"number node, value=1298","layer":2},{"info":"compute binary expreesion, left_input=2800, right_input=1298, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3372","layer":1},{"info":"number node, value=2166","layer":2},{"info":"compute unary expreesion, input=2166, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5158","layer":1},{"info":"compute binary expreesion, left_input=-3372, right_input=-5158, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11110↱≴∭⊉3533)≓∲(≇⪴≴∭⊉6213)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉11110↱≴∭⊉3533)≓∲(≇⪴≴∭⊉6213)","cot":[{"info":"≴∭⊉11110↱≴∭⊉3533=≴∭⊉-12555","layer":1},{"info":"≇⪴≴∭⊉6213=≴∭⊉-21016","layer":1},{"info":"≴∭⊉-12555≓∲≴∭⊉-21016=≴∭⊉124","layer":0}]}
+{"id":552,"expression_no_base_symbol":"($1123$⋻⩜⩜$6489$)⋛$7716$⪪$6265$","expression":"(≴∭⊉3163⋻⩜⩜≴∭⊉24630)⋛≴∭⊉31332⪪≴∭⊉24160","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":114194,"operation_count":3,"complexity_ratio":38064.666666666664,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1123,"base":7},"right_expr":{"type":"numeric_atoms","value":6489,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":7716,"base":7},"right_expr":{"type":"numeric_atoms","value":6265,"base":7}}},"used_operators":["YbUVn0Rbpy","oDCm7WA9JY","xD69zh8xqp"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","FU0Cs4j7VP","JclMnS0uGI"],"result":"≴∭⊉-41414301","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=6489","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=6489, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2246","layer":1},{"info":"number node, value=7716","layer":2},{"info":"number node, value=6265","layer":2},{"info":"compute binary expreesion, left_input=7716, right_input=6265, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-1161205","layer":1},{"info":"compute binary expreesion, left_input=2246, right_input=-1161205, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-3482970","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3163⋻⩜⩜≴∭⊉24630)⋛≴∭⊉31332⪪≴∭⊉24160=≴∭⊉-41414301","reverse_text":"≴∭⊉-41414301=(≴∭⊉3163⋻⩜⩜≴∭⊉24630)⋛≴∭⊉31332⪪≴∭⊉24160","cot":[{"info":"≴∭⊉3163⋻⩜⩜≴∭⊉24630=≴∭⊉6356","layer":1},{"info":"≴∭⊉31332⪪≴∭⊉24160=≴∭⊉-12604303","layer":1},{"info":"≴∭⊉6356⋛≴∭⊉-12604303=≴∭⊉-41414301","layer":0}]}
+{"id":553,"expression_no_base_symbol":"⋗⩴⪓$1075$↹⊜$1106$","expression":"⋗⩴⪓≴∭⊉3064↹⊜≴∭⊉3140","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1075,"base":7},"right_expr":{"type":"numeric_atoms","value":1106,"base":7}}},"used_operators":["nOKPl9n5zu","9bazX3JMtO"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉50164","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":2},{"info":"number node, value=1106","layer":2},{"info":"compute binary expreesion, left_input=1075, right_input=1106, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2370","layer":1},{"info":"compute unary expreesion, input=-2370, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=12100","layer":0}],"base":7,"result_base":7,"text":"⋗⩴⪓≴∭⊉3064↹⊜≴∭⊉3140=≴∭⊉50164","reverse_text":"≴∭⊉50164=⋗⩴⪓≴∭⊉3064↹⊜≴∭⊉3140","cot":[{"info":"≴∭⊉3064↹⊜≴∭⊉3140=≴∭⊉-6624","layer":1},{"info":"⋗⩴⪓≴∭⊉-6624=≴∭⊉50164","layer":0}]}
+{"id":554,"expression_no_base_symbol":"($5392$+$7830$)⊔($1353$∠↢$2995$)","expression":"(≴∭⊉21502+≴∭⊉31554)⊔(≴∭⊉3642∠↢≴∭⊉11506)","highest_n_order":1,"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":5392,"base":7},"right_expr":{"type":"numeric_atoms","value":7830,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1353,"base":7},"right_expr":{"type":"numeric_atoms","value":2995,"base":7}}},"used_operators":["E4l6HwMY31","W4YGzv6Whe","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≴∭⊉136665","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5392","layer":2},{"info":"number node, value=7830","layer":2},{"info":"compute binary expreesion, left_input=5392, right_input=7830, op_id = W4YGzv6Whe binary_op_definition= 'None', output=13222","layer":1},{"info":"number node, value=1353","layer":2},{"info":"number node, value=2995","layer":2},{"info":"compute binary expreesion, left_input=1353, right_input=2995, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-46260","layer":1},{"info":"compute binary expreesion, left_input=13222, right_input=-46260, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26409","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21502+≴∭⊉31554)⊔(≴∭⊉3642∠↢≴∭⊉11506)=≴∭⊉136665","reverse_text":"≴∭⊉136665=(≴∭⊉21502+≴∭⊉31554)⊔(≴∭⊉3642∠↢≴∭⊉11506)","cot":[{"info":"≴∭⊉21502+≴∭⊉31554=≴∭⊉53356","layer":1},{"info":"≴∭⊉3642∠↢≴∭⊉11506=≴∭⊉-251604","layer":1},{"info":"≴∭⊉53356⊔≴∭⊉-251604=≴∭⊉136665","layer":0}]}
+{"id":555,"expression_no_base_symbol":"≤/$8824$≨$1157$","expression":"≤/≴∭⊉34504≨≴∭⊉3242","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":71,"operation_count":2,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":8824,"base":7},"right_expr":{"type":"numeric_atoms","value":1157,"base":7}}},"used_operators":["eLAdDNolq6","0KMCeP1Jsh"],"dependent_operators":["rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≴∭⊉506311","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8824","layer":2},{"info":"number node, value=1157","layer":2},{"info":"compute binary expreesion, left_input=8824, right_input=1157, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-85764","layer":1},{"info":"compute unary expreesion, input=-85764, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=86248","layer":0}],"base":7,"result_base":7,"text":"≤/≴∭⊉34504≨≴∭⊉3242=≴∭⊉506311","reverse_text":"≴∭⊉506311=≤/≴∭⊉34504≨≴∭⊉3242","cot":[{"info":"≴∭⊉34504≨≴∭⊉3242=≴∭⊉-505020","layer":1},{"info":"≤/≴∭⊉-505020=≴∭⊉506311","layer":0}]}
+{"id":556,"expression_no_base_symbol":"($1441$⇣⩺⋵$6321$)⨜⨶($3221$⪔⊥$5093$)","expression":"(≴∭⊉4126⇣⩺⋵≴∭⊉24300)⨜⨶(≴∭⊉12251⪔⊥≴∭⊉20564)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1441,"base":7},"right_expr":{"type":"numeric_atoms","value":6321,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3221,"base":7},"right_expr":{"type":"numeric_atoms","value":5093,"base":7}}},"used_operators":["HiPekx5b7W","F4yD0voBRQ","HJ9erzHUuu"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉-16553","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":2},{"info":"number node, value=6321","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=6321, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-6816","layer":1},{"info":"number node, value=3221","layer":2},{"info":"number node, value=5093","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=5093, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2499","layer":1},{"info":"compute binary expreesion, left_input=-6816, right_input=2499, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4742","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4126⇣⩺⋵≴∭⊉24300)⨜⨶(≴∭⊉12251⪔⊥≴∭⊉20564)=≴∭⊉-16553","reverse_text":"≴∭⊉-16553=(≴∭⊉4126⇣⩺⋵≴∭⊉24300)⨜⨶(≴∭⊉12251⪔⊥≴∭⊉20564)","cot":[{"info":"≴∭⊉4126⇣⩺⋵≴∭⊉24300=≴∭⊉-25605","layer":1},{"info":"≴∭⊉12251⪔⊥≴∭⊉20564=≴∭⊉10200","layer":1},{"info":"≴∭⊉-25605⨜⨶≴∭⊉10200=≴∭⊉-16553","layer":0}]}
+{"id":557,"expression_no_base_symbol":"⋂($1364$⊉≛↸$2232$)","expression":"⋂(≴∭⊉3656⊉≛↸≴∭⊉6336)","highest_n_order":1,"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":1364,"base":7},"right_expr":{"type":"numeric_atoms","value":2232,"base":7}}},"used_operators":["BUOGQAYlQx","DZ8iAZOCBD"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-214416","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"number node, value=2232","layer":2},{"info":"compute binary expreesion, left_input=1364, right_input=2232, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2728","layer":1},{"info":"compute unary expreesion, input=2728, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-37596","layer":0}],"base":7,"result_base":7,"text":"⋂(≴∭⊉3656⊉≛↸≴∭⊉6336)=≴∭⊉-214416","reverse_text":"≴∭⊉-214416=⋂(≴∭⊉3656⊉≛↸≴∭⊉6336)","cot":[{"info":"≴∭⊉3656⊉≛↸���∭⊉6336=≴∭⊉10645","layer":1},{"info":"⋂≴∭⊉10645=≴∭⊉-214416","layer":0}]}
+{"id":558,"expression_no_base_symbol":"($1096$⩵∡$1005$)⩌⋺(⇘$2562$)","expression":"(≴∭⊉3124⩵∡≴∭⊉2634)⩌⋺(⇘≴∭⊉10320)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5183,"operation_count":3,"complexity_ratio":1727.6666666666667,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1096,"base":7},"right_expr":{"type":"numeric_atoms","value":1005,"base":7}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2562,"base":7}}},"used_operators":["g7Hmc5v1ko","Y7wcNGrDQJ","MGuIdZPyUC"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"≴∭⊉-1151216","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=1096, right_input=1005, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1308","layer":1},{"info":"number node, value=2562","layer":2},{"info":"compute unary expreesion, input=2562, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=148102","layer":1},{"info":"compute binary expreesion, left_input=-1308, right_input=148102, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-146915","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3124⩵∡≴∭⊉2634)⩌⋺(⇘≴∭⊉10320)=≴∭⊉-1151216","reverse_text":"≴∭⊉-1151216=(≴∭⊉3124⩵∡≴∭⊉2634)⩌⋺(⇘≴∭⊉10320)","cot":[{"info":"≴∭⊉3124⩵∡≴∭⊉2634=≴∭⊉-3546","layer":1},{"info":"⇘≴∭⊉10320=≴∭⊉1154533","layer":1},{"info":"≴∭⊉-3546⩌⋺≴∭⊉1154533=≴∭⊉-1151216","layer":0}]}
+{"id":559,"expression_no_base_symbol":"⊁⨺($1915$∖$4339$)","expression":"⊁⨺(≴∭⊉5404∖≴∭⊉15436)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":547,"operation_count":2,"complexity_ratio":273.5,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1915,"base":7},"right_expr":{"type":"numeric_atoms","value":4339,"base":7}}},"used_operators":["PxiHyQbrIp","tXD093vOjl"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≴∭⊉5244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1915","layer":2},{"info":"number node, value=4339","layer":2},{"info":"compute binary expreesion, left_input=1915, right_input=4339, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":0}],"base":7,"result_base":7,"text":"⊁⨺(≴∭⊉5404∖≴∭⊉15436)=≴∭⊉5244","reverse_text":"≴∭⊉5244=⊁⨺(≴∭⊉5404∖≴∭⊉15436)","cot":[{"info":"≴∭⊉5404∖≴∭⊉15436=≴∭⊉0","layer":1},{"info":"⊁⨺≴∭⊉0=≴∭⊉5244","layer":0}]}
+{"id":560,"expression_no_base_symbol":"($4274$↡⊰⫅$1043$)∼($6504$⫲≸⪮$2788$)","expression":"(≴∭⊉15314↡⊰⫅≴∭⊉3020)∼(≴∭⊉24651⫲≸⪮≴∭⊉11062)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21163,"operation_count":3,"complexity_ratio":7054.333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4274,"base":7},"right_expr":{"type":"numeric_atoms","value":1043,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6504,"base":7},"right_expr":{"type":"numeric_atoms","value":2788,"base":7}}},"used_operators":["DyGG3AbaNP","VCtxkLNOzz","P3lXMJvFrc"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4274","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=4274, right_input=1043, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2086","layer":1},{"info":"number node, value=6504","layer":2},{"info":"number node, value=2788","layer":2},{"info":"compute binary expreesion, left_input=6504, right_input=2788, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6504","layer":1},{"info":"compute binary expreesion, left_input=2086, right_input=6504, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15314↡⊰⫅≴∭⊉3020)∼(≴∭⊉24651⫲≸⪮≴∭⊉11062)=NaN","reverse_text":"NaN=(≴∭⊉15314↡⊰⫅≴∭⊉3020)∼(≴∭⊉24651⫲≸⪮≴∭⊉11062)","cot":[{"info":"≴∭⊉15314↡⊰⫅≴∭⊉3020=≴∭⊉6040","layer":1},{"info":"≴∭⊉24651⫲≸⪮≴∭⊉11062=≴∭⊉24651","layer":1},{"info":"≴∭⊉6040∼≴∭⊉24651=NaN","layer":0}]}
+{"id":561,"expression_no_base_symbol":"(≋$7254$)⫸⇳$5464$⩷∴$5804$","expression":"(≋≴∭⊉30102)⫸⇳≴∭⊉21634⩷∴≴∭⊉22631","highest_n_order":1,"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":7254,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5464,"base":7},"right_expr":{"type":"numeric_atoms","value":5804,"base":7}}},"used_operators":["gx7XJ7hdpj","61wBmkZwlr","9FxExcQeMw"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","rysDP5nf3Z"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7254","layer":2},{"info":"compute unary expreesion, input=7254, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=7254","layer":1},{"info":"number node, value=5464","layer":2},{"info":"number node, value=5804","layer":2},{"info":"compute binary expreesion, left_input=5464, right_input=5804, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-712","layer":1},{"info":"compute binary expreesion, left_input=7254, right_input=-712, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≋≴∭⊉30102)⫸⇳≴∭⊉21634⩷∴≴∭⊉22631=≴∭⊉0","reverse_text":"≴∭⊉0=(≋≴∭⊉30102)⫸⇳≴∭⊉21634⩷∴≴∭⊉22631","cot":[{"info":"≋≴∭⊉30102=≴∭⊉30102","layer":1},{"info":"≴∭⊉21634⩷∴≴∭⊉22631=≴∭⊉-2035","layer":1},{"info":"≴∭⊉30102⫸⇳≴∭⊉-2035=≴∭⊉0","layer":0}]}
+{"id":562,"expression_no_base_symbol":"(⫡⇟⇯$6534$)⪎⩰","expression":"(⫡⇟⇯≴∭⊉25023)⪎⩰","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":6534,"base":7}}},"used_operators":["2ufhKmSs5H","qWUSsah53b"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o"],"result":"≴∭⊉-46","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6534","layer":2},{"info":"compute unary expreesion, input=6534, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=13936","layer":1},{"info":"compute unary expreesion, input=13936, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":0}],"base":7,"result_base":7,"text":"(⫡⇟⇯≴∭⊉25023)⪎⩰=≴∭⊉-46","reverse_text":"≴∭⊉-46=(⫡⇟⇯≴∭⊉25023)⪎⩰","cot":[{"info":"⫡⇟⇯≴∭⊉25023=≴∭⊉55426","layer":1},{"info":"≴∭⊉55426⪎⩰=≴∭⊉-46","layer":0}]}
+{"id":563,"expression_no_base_symbol":"($3888$⋝⋈⪟$1002$)⊱⇼⊻($7580$+$2164$)","expression":"(≴∭⊉14223⋝⋈⪟≴∭⊉2631)⊱⇼⊻(≴∭⊉31046+≴∭⊉6211)","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":3888,"base":7},"right_expr":{"type":"numeric_atoms","value":1002,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7580,"base":7},"right_expr":{"type":"numeric_atoms","value":2164,"base":7}}},"used_operators":["FyVja0WsTP","2DDjHMKMc0","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉1160","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3888","layer":2},{"info":"number node, value=1002","layer":2},{"info":"compute binary expreesion, left_input=3888, right_input=1002, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3888","layer":1},{"info":"number node, value=7580","layer":2},{"info":"number node, value=2164","layer":2},{"info":"compute binary expreesion, left_input=7580, right_input=2164, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9744","layer":1},{"info":"compute binary expreesion, left_input=3888, right_input=9744, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14223⋝⋈⪟≴∭⊉2631)⊱⇼⊻(≴∭⊉31046+≴∭⊉6211)=≴∭⊉1160","reverse_text":"≴∭⊉1160=(≴∭⊉14223⋝⋈⪟≴∭⊉2631)⊱⇼⊻(≴∭⊉31046+≴∭⊉6211)","cot":[{"info":"≴∭⊉14223⋝⋈⪟≴∭⊉2631=≴∭⊉14223","layer":1},{"info":"≴∭⊉31046+≴∭⊉6211=≴∭⊉40260","layer":1},{"info":"≴∭⊉14223⊱⇼⊻≴∭⊉40260=≴∭⊉1160","layer":0}]}
+{"id":564,"expression_no_base_symbol":"(⫟$3822$)⋅⇍$1975$≹⇙⪍$2506$","expression":"(⫟≴∭⊉14100)⋅⇍≴∭⊉5521≹⇙⪍≴∭⊉10210","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":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3822,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1975,"base":7},"right_expr":{"type":"numeric_atoms","value":2506,"base":7}}},"used_operators":["AdZkA7nFnk","z4E1FaHLuy","AHs5Up7iyr"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9"],"result":"≴∭⊉41054","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3822","layer":2},{"info":"compute unary expreesion, input=3822, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-10559","layer":1},{"info":"number node, value=1975","layer":2},{"info":"number node, value=2506","layer":2},{"info":"compute binary expreesion, left_input=1975, right_input=2506, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-10559, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=9986","layer":0}],"base":7,"result_base":7,"text":"(⫟≴∭⊉14100)⋅⇍≴∭⊉5521≹⇙⪍≴∭⊉10210=≴∭⊉41054","reverse_text":"≴∭⊉41054=(⫟≴∭⊉14100)⋅⇍≴∭⊉5521≹⇙⪍≴∭⊉10210","cot":[{"info":"⫟≴∭⊉14100=≴∭⊉-42533","layer":1},{"info":"≴∭⊉5521≹⇙⪍≴∭⊉10210=NaN","layer":1},{"info":"≴∭⊉-42533⋅⇍NaN=≴∭⊉41054","layer":0}]}
+{"id":565,"expression_no_base_symbol":"⨂⪏⇭$2730$↳∿⪆$3452$","expression":"⨂⪏⇭≴∭⊉10650↳∿⪆≴∭⊉13031","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2445,"operation_count":2,"complexity_ratio":1222.5,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2730,"base":7},"right_expr":{"type":"numeric_atoms","value":3452,"base":7}}},"used_operators":["AYdpE9sXAk","Cw4SuJJGHO"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2730","layer":2},{"info":"number node, value=3452","layer":2},{"info":"compute binary expreesion, left_input=2730, right_input=3452, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨂⪏⇭≴∭⊉10650↳∿⪆≴∭⊉13031=NaN","reverse_text":"NaN=⨂⪏⇭≴∭⊉10650↳∿⪆≴∭⊉13031","cot":[{"info":"≴∭⊉10650↳∿⪆≴∭⊉13031=NaN","layer":1},{"info":"⨂⪏⇭NaN=NaN","layer":0}]}
+{"id":566,"expression_no_base_symbol":"($1676$∐⫣)⫸⇳$1230$⇴$1880$","expression":"(≴∭⊉4613∐⫣)⫸⇳≴∭⊉3405⇴≴∭⊉5324","highest_n_order":1,"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":1676,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1230,"base":7},"right_expr":{"type":"numeric_atoms","value":1880,"base":7}}},"used_operators":["gx7XJ7hdpj","4CyGpkTkEk","4JB6nKBMSY"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":2},{"info":"compute unary expreesion, input=1676, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":1},{"info":"number node, value=1230","layer":2},{"info":"number node, value=1880","layer":2},{"info":"compute binary expreesion, left_input=1230, right_input=1880, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=10754","layer":1},{"info":"compute binary expreesion, left_input=551, right_input=10754, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4613∐⫣)⫸⇳≴∭⊉3405⇴≴∭⊉5324=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉4613∐⫣)⫸⇳≴∭⊉3405⇴≴∭⊉5324","cot":[{"info":"≴∭⊉4613∐⫣=≴∭⊉1415","layer":1},{"info":"≴∭⊉3405⇴≴∭⊉5324=≴∭⊉43232","layer":1},{"info":"≴∭⊉1415⫸⇳≴∭⊉43232=≴∭⊉0","layer":0}]}
+{"id":567,"expression_no_base_symbol":"$2541$⊝⪿⪼$1723$⫲≸⪮$2074$+⪬∐$2250$","expression":"≴∭⊉10260⊝⪿⪼≴∭⊉5011⫲≸⪮≴∭⊉6022+⪬∐≴∭⊉6363","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39458,"operation_count":3,"complexity_ratio":13152.666666666666,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2541,"base":7},"right_expr":{"type":"numeric_atoms","value":1723,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2074,"base":7},"right_expr":{"type":"numeric_atoms","value":2250,"base":7}}},"used_operators":["P3lXMJvFrc","3Oe9XWJUTD","2GS7woTJqF"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2"],"result":"≴∭⊉222650","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":2},{"info":"number node, value=1723","layer":2},{"info":"compute binary expreesion, left_input=2541, right_input=1723, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=39431","layer":1},{"info":"number node, value=2074","layer":2},{"info":"number node, value=2250","layer":2},{"info":"compute binary expreesion, left_input=2074, right_input=2250, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6222","layer":1},{"info":"compute binary expreesion, left_input=39431, right_input=-6222, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=39431","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10260⊝⪿⪼≴∭⊉5011⫲≸⪮≴∭⊉6022+⪬∐≴∭⊉6363=≴∭⊉222650","reverse_text":"≴∭⊉222650=≴∭⊉10260⊝⪿⪼≴∭⊉5011⫲≸⪮≴∭⊉6022+⪬∐≴∭⊉6363","cot":[{"info":"≴∭⊉10260⊝⪿⪼≴∭⊉5011=≴∭⊉222650","layer":1},{"info":"≴∭⊉6022+⪬∐≴∭⊉6363=≴∭⊉-24066","layer":1},{"info":"≴∭⊉222650⫲≸⪮≴∭⊉-24066=≴∭⊉222650","layer":0}]}
+{"id":568,"expression_no_base_symbol":"$1878$↳∿⪆$5301$⋻⩜⩜$1056$≒∊$7902$","expression":"≴∭⊉5322↳∿⪆≴∭⊉21312⋻⩜⩜≴���⊉3036≒∊≴∭⊉32016","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10486,"operation_count":3,"complexity_ratio":3495.3333333333335,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1878,"base":7},"right_expr":{"type":"numeric_atoms","value":5301,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1056,"base":7},"right_expr":{"type":"numeric_atoms","value":7902,"base":7}}},"used_operators":["oDCm7WA9JY","Cw4SuJJGHO","5KTvxBwnZo"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1878","layer":2},{"info":"number node, value=5301","layer":2},{"info":"compute binary expreesion, left_input=1878, right_input=5301, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1056","layer":2},{"info":"number node, value=7902","layer":2},{"info":"compute binary expreesion, left_input=1056, right_input=7902, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-572","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-572, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5322↳∿⪆≴∭⊉21312⋻⩜⩜≴∭⊉3036≒∊≴∭⊉32016=NaN","reverse_text":"NaN=≴∭⊉5322↳∿⪆≴∭⊉21312⋻⩜⩜≴∭⊉3036≒∊≴∭⊉32016","cot":[{"info":"≴∭⊉5322↳∿⪆≴∭⊉21312=NaN","layer":1},{"info":"≴∭⊉3036≒∊≴∭⊉32016=≴∭⊉-1445","layer":1},{"info":"NaN⋻⩜⩜≴∭⊉-1445=NaN","layer":0}]}
+{"id":569,"expression_no_base_symbol":"($2564$≠≀$1214$)+⪬∐(⨵$4346$)","expression":"(≴∭⊉10322≠≀≴∭⊉3353)+⪬∐(⨵≴∭⊉15446)","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":2564,"base":7},"right_expr":{"type":"numeric_atoms","value":1214,"base":7}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4346,"base":7}}},"used_operators":["2GS7woTJqF","IwW236VD4Y","Tl3Y52tvF8"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"≴∭⊉60114","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":2},{"info":"number node, value=1214","layer":2},{"info":"compute binary expreesion, left_input=2564, right_input=1214, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4822","layer":1},{"info":"number node, value=4346","layer":2},{"info":"compute unary expreesion, input=4346, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-35977","layer":1},{"info":"compute binary expreesion, left_input=-4822, right_input=-35977, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=14466","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10322≠≀≴∭⊉3353)+⪬∐(⨵≴∭⊉15446)=≴∭⊉60114","reverse_text":"≴∭⊉60114=(≴∭⊉10322≠≀≴∭⊉3353)+⪬∐(⨵≴∭⊉15446)","cot":[{"info":"≴∭⊉10322≠≀≴∭⊉3353=≴∭⊉-20026","layer":1},{"info":"⨵≴∭⊉15446=≴∭⊉-206614","layer":1},{"info":"≴∭⊉-20026+⪬∐≴∭⊉-206614=≴∭⊉60114","layer":0}]}
+{"id":570,"expression_no_base_symbol":"(⊖$6898$)⪬($6825$⫃⨇$1021$)","expression":"(⊖≴∭⊉26053)⪬(≴∭⊉25620⫃⨇≴∭⊉2656)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":590,"operation_count":3,"complexity_ratio":196.66666666666666,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6898,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6825,"base":7},"right_expr":{"type":"numeric_atoms","value":1021,"base":7}}},"used_operators":["Ez1Nq5fNfI","U6pG0PXrV3","09Ly4LVMIf"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6898","layer":2},{"info":"compute unary expreesion, input=6898, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"number node, value=6825","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=6825, right_input=1021, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4116","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4116, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(⊖≴∭⊉26053)⪬(≴∭⊉25620⫃⨇≴∭⊉2656)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(⊖≴∭⊉26053)⪬(≴∭⊉25620⫃⨇≴∭⊉2656)","cot":[{"info":"⊖≴∭⊉26053=≴∭⊉0","layer":1},{"info":"≴∭⊉25620⫃⨇≴∭⊉2656=≴∭⊉-15000","layer":1},{"info":"≴∭⊉0⪬≴∭⊉-15000=≴∭⊉3412","layer":0}]}
+{"id":571,"expression_no_base_symbol":"($1730$/$1358$)⫑","expression":"(≴∭⊉5021/≴∭⊉3650)⫑","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":124,"operation_count":2,"complexity_ratio":62.0,"tree":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1730,"base":7},"right_expr":{"type":"numeric_atoms","value":1358,"base":7}}},"used_operators":["CgIo77xlM2","XhwjNDsVaA"],"dependent_operators":["cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","rysDP5nf3Z"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1730","layer":2},{"info":"number node, value=1358","layer":2},{"info":"compute binary expreesion, left_input=1730, right_input=1358, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5021/≴∭⊉3650)⫑=≴∭⊉14413","reverse_text":"≴∭⊉14413=(≴∭⊉5021/≴∭⊉3650)⫑","cot":[{"info":"≴∭⊉5021/≴∭⊉3650=≴∭⊉1","layer":1},{"info":"≴∭⊉1⫑=≴∭⊉14413","layer":0}]}
+{"id":572,"expression_no_base_symbol":"($2280$⪕$6483$)∛(⊖$3723$)","expression":"(≴∭⊉6435⪕≴∭⊉24621)∛(⊖≴∭⊉13566)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2280,"base":7},"right_expr":{"type":"numeric_atoms","value":6483,"base":7}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3723,"base":7}}},"used_operators":["w2537kitQq","umQnsF7QlU","U6pG0PXrV3"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2280","layer":2},{"info":"number node, value=6483","layer":2},{"info":"compute binary expreesion, left_input=2280, right_input=6483, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=3723","layer":2},{"info":"compute unary expreesion, input=3723, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=0, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6435⪕≴∭⊉24621)∛(⊖≴∭⊉13566)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉6435⪕≴∭⊉24621)∛(⊖≴∭⊉13566)","cot":[{"info":"≴∭⊉6435⪕≴∭⊉24621=≴∭⊉-106","layer":1},{"info":"⊖≴∭⊉13566=≴∭⊉0","layer":1},{"info":"≴∭⊉-106∛≴∭⊉0=≴∭⊉124","layer":0}]}
+{"id":573,"expression_no_base_symbol":"($1619$⨟⋌⩍$2441$)∓⋝$1080$⨂≜$1223$","expression":"(≴∭⊉4502⨟⋌⩍≴∭⊉10055)∓⋝≴∭⊉3102⨂≜≴∭⊉3365","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1132,"operation_count":3,"complexity_ratio":377.3333333333333,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1619,"base":7},"right_expr":{"type":"numeric_atoms","value":2441,"base":7}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1080,"base":7},"right_expr":{"type":"numeric_atoms","value":1223,"base":7}}},"used_operators":["PoHhknlbAi","rGHVDoGpnC","k1SHOSEABc"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Tcnh7f0tEr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1619","layer":2},{"info":"number node, value=2441","layer":2},{"info":"compute binary expreesion, left_input=1619, right_input=2441, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1080","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=1080, right_input=1223, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4502⨟⋌⩍≴∭⊉10055)∓⋝≴∭⊉3102⨂≜≴∭⊉3365=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉4502⨟⋌⩍≴∭⊉10055)∓⋝≴∭⊉3102⨂≜≴∭⊉3365","cot":[{"info":"≴∭⊉4502⨟⋌⩍≴∭⊉10055=NaN","layer":1},{"info":"≴∭⊉3102⨂≜≴∭⊉3365=NaN","layer":1},{"info":"NaN∓⋝NaN=≴∭⊉124","layer":0}]}
+{"id":574,"expression_no_base_symbol":"($9482$⪠⩆⊳)≌($1311$⨒$1618$)","expression":"(≴∭⊉36434⪠⩆⊳)≌(≴∭⊉3552⨒≴∭⊉4501)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7933,"operation_count":3,"complexity_ratio":2644.3333333333335,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":9482,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1311,"base":7},"right_expr":{"type":"numeric_atoms","value":1618,"base":7}}},"used_operators":["lyWz822IDG","JLbD19bQDL","y75s1iXyHd"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9482","layer":2},{"info":"compute unary expreesion, input=9482, 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=1311","layer":2},{"info":"number node, value=1618","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=1618, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7494","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7494, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉36434⪠⩆⊳)≌(≴∭⊉3552⨒≴∭⊉4501)=NaN","reverse_text":"NaN=(≴∭⊉36434⪠⩆⊳)≌(≴∭⊉3552⨒≴∭⊉4501)","cot":[{"info":"≴∭⊉36434⪠⩆⊳=≴∭⊉0","layer":1},{"info":"≴∭⊉3552⨒≴∭⊉4501=≴∭⊉-30564","layer":1},{"info":"≴∭⊉0≌≴∭⊉-30564=NaN","layer":0}]}
+{"id":575,"expression_no_base_symbol":"($1050$⨚⇆$4754$)⫒⫫(⇖$1806$)","expression":"(≴∭⊉3030⨚⇆≴∭⊉16601)⫒⫫(⇖≴∭⊉5160)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7403,"operation_count":3,"complexity_ratio":2467.6666666666665,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1050,"base":7},"right_expr":{"type":"numeric_atoms","value":4754,"base":7}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1806,"base":7}}},"used_operators":["6Ko8hGgeMq","lwHaAYXP2r","tfWHHpNKUN"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1050","layer":2},{"info":"number node, value=4754","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=4754, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1806","layer":2},{"info":"compute unary expreesion, input=1806, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3030⨚⇆≴∭⊉16601)⫒⫫(⇖≴∭⊉5160)=NaN","reverse_text":"NaN=(≴∭⊉3030⨚⇆≴∭⊉16601)⫒⫫(⇖≴∭⊉5160)","cot":[{"info":"≴∭⊉3030⨚⇆≴∭⊉16601=NaN","layer":1},{"info":"⇖≴∭⊉5160=≴∭⊉316","layer":1},{"info":"NaN⫒⫫≴∭⊉316=NaN","layer":0}]}
+{"id":576,"expression_no_base_symbol":"($4753$⇟⨁⪰)↠","expression":"(≴∭⊉16600⇟⨁⪰)↠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1599,"operation_count":2,"complexity_ratio":799.5,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4753,"base":7}}},"used_operators":["LBdsKIvxzf","BX1lVwlMe0"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","2DDjHMKMc0","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4753","layer":2},{"info":"compute unary expreesion, input=4753, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4927","layer":1},{"info":"compute unary expreesion, input=-4927, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16600⇟⨁⪰)↠=NaN","reverse_text":"NaN=(≴∭⊉16600⇟⨁⪰)↠","cot":[{"info":"≴∭⊉16600⇟⨁⪰=≴∭⊉-20236","layer":1},{"info":"≴∭⊉-20236↠=NaN","layer":0}]}
+{"id":577,"expression_no_base_symbol":"≻⋜($8504$⨓$3894$)","expression":"≻⋜(≴∭⊉33536⨓≴∭⊉14232)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37823,"operation_count":2,"complexity_ratio":18911.5,"tree":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8504,"base":7},"right_expr":{"type":"numeric_atoms","value":3894,"base":7}}},"used_operators":["3tj9sqzovi","3ViojmjbAp"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8504","layer":2},{"info":"number node, value=3894","layer":2},{"info":"compute binary expreesion, left_input=8504, right_input=3894, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3897","layer":1},{"info":"compute unary expreesion, input=-3897, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≻⋜(≴∭⊉33536⨓≴∭⊉14232)=NaN","reverse_text":"NaN=≻⋜(≴∭⊉33536⨓≴∭⊉14232)","cot":[{"info":"≴∭⊉33536⨓≴∭⊉14232=≴∭⊉-14235","layer":1},{"info":"≻⋜≴∭⊉-14235=NaN","layer":0}]}
+{"id":578,"expression_no_base_symbol":"$4338$⫚↹⊑$3692$∪⫐$1103$⪶≀⋏$1214$","expression":"≴∭⊉15435⫚↹⊑≴∭⊉13523∪⫐≴∭⊉3134⪶≀⋏≴∭⊉3353","highest_n_order":2,"priority_hierarchical_complexity":2,"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":4338,"base":7},"right_expr":{"type":"numeric_atoms","value":3692,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1103,"base":7},"right_expr":{"type":"numeric_atoms","value":1214,"base":7}}},"used_operators":["7YooWSwCyH","dfKe02y8D2","zR4jO40bMj"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4338","layer":2},{"info":"number node, value=3692","layer":2},{"info":"compute binary expreesion, left_input=4338, right_input=3692, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1103","layer":2},{"info":"number node, value=1214","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=1214, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-5969","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-5969, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15435⫚↹⊑≴∭⊉13523∪⫐≴∭⊉3134⪶≀⋏≴∭⊉3353=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=≴∭⊉15435⫚↹⊑≴∭⊉13523∪⫐≴∭⊉3134⪶≀⋏≴∭⊉3353","cot":[{"info":"≴∭⊉15435⫚↹⊑≴∭⊉13523=≴∭⊉-1206","layer":1},{"info":"≴∭⊉3134⪶≀⋏≴∭⊉3353=≴∭⊉-23255","layer":1},{"info":"≴∭⊉-1206∪⫐≴∭⊉-23255=≴∭⊉-1206","layer":0}]}
+{"id":579,"expression_no_base_symbol":"($9099$↼⊘⨖$3513$)⨔⇊($6891$⨭⪣$2718$)","expression":"(≴∭⊉35346↼⊘⨖≴∭⊉13146)⨔⇊(≴∭⊉26043⨭⪣≴∭⊉10632)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":9099,"base":7},"right_expr":{"type":"numeric_atoms","value":3513,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6891,"base":7},"right_expr":{"type":"numeric_atoms","value":2718,"base":7}}},"used_operators":["JclMnS0uGI","bPywburJMS","kn8WO9XteQ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≴∭⊉22235","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=9099","layer":2},{"info":"number node, value=3513","layer":2},{"info":"compute binary expreesion, left_input=9099, right_input=3513, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6804","layer":1},{"info":"number node, value=6891","layer":2},{"info":"number node, value=2718","layer":2},{"info":"compute binary expreesion, left_input=6891, right_input=2718, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5612","layer":1},{"info":"compute binary expreesion, left_input=6804, right_input=5612, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5612","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉35346↼⊘⨖≴∭⊉13146)⨔⇊(≴∭⊉26043⨭⪣≴∭⊉10632)=≴∭⊉22235","reverse_text":"≴∭⊉22235=(≴∭⊉35346↼⊘⨖≴∭⊉13146)⨔⇊(≴∭⊉26043⨭⪣≴∭⊉10632)","cot":[{"info":"≴∭⊉35346↼⊘⨖≴∭⊉13146=≴∭⊉25560","layer":1},{"info":"≴∭⊉26043⨭⪣≴∭⊉10632=≴∭⊉22235","layer":1},{"info":"≴∭⊉25560⨔⇊≴∭⊉22235=≴∭⊉22235","layer":0}]}
+{"id":580,"expression_no_base_symbol":"$1012$⋾⨃∁$1503$⫔⩽⩺($7556$-$4610$)","expression":"≴∭⊉2644⋾⨃∁≴∭⊉4245⫔⩽⩺(≴∭⊉31013-≴∭⊉16304)","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":1012,"base":7},"right_expr":{"type":"numeric_atoms","value":1503,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7556,"base":7},"right_expr":{"type":"numeric_atoms","value":4610,"base":7}}},"used_operators":["i9eR4S00cU","212REbPD9h","rysDP5nf3Z"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"number node, value=1503","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=1503, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=22571960","layer":1},{"info":"number node, value=7556","layer":2},{"info":"number node, value=4610","layer":2},{"info":"compute binary expreesion, left_input=7556, right_input=4610, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2946","layer":1},{"info":"compute binary expreesion, left_input=22571960, right_input=2946, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2644⋾⨃∁≴∭⊉4245⫔⩽⩺(≴∭⊉31013-≴∭⊉16304)=NaN","reverse_text":"NaN=≴∭⊉2644⋾⨃∁≴∭⊉4245⫔⩽⩺(≴∭⊉31013-≴∭⊉16304)","cot":[{"info":"≴∭⊉2644⋾⨃∁≴∭⊉4245=≴∭⊉362600315","layer":1},{"info":"≴∭⊉31013-≴∭⊉16304=≴∭⊉11406","layer":1},{"info":"≴∭⊉362600315⫔⩽⩺≴∭⊉11406=NaN","layer":0}]}
+{"id":581,"expression_no_base_symbol":"$8521$⨔≚≋$3335$∖$2552$∝$2133$","expression":"≴∭⊉33562⨔≚≋≴∭⊉12503∖≴∭⊉10304∝≴∭⊉6135","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":446,"operation_count":3,"complexity_ratio":148.66666666666666,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8521,"base":7},"right_expr":{"type":"numeric_atoms","value":3335,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2552,"base":7},"right_expr":{"type":"numeric_atoms","value":2133,"base":7}}},"used_operators":["tXD093vOjl","Z57zeUYC9z","cTDWOvIxvz"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8521","layer":2},{"info":"number node, value=3335","layer":2},{"info":"compute binary expreesion, left_input=8521, right_input=3335, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2552","layer":2},{"info":"number node, value=2133","layer":2},{"info":"compute binary expreesion, left_input=2552, right_input=2133, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2557","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=2557, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉33562⨔≚≋≴∭⊉12503∖≴∭⊉10304∝≴∭⊉6135=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉33562⨔≚≋≴∭⊉12503∖≴∭⊉10304∝≴∭⊉6135","cot":[{"info":"≴∭⊉33562⨔≚≋≴∭⊉12503=≴∭⊉40532","layer":1},{"info":"≴∭⊉10304∝≴∭⊉6135=≴∭⊉10312","layer":1},{"info":"≴∭⊉40532∖≴∭⊉10312=≴∭⊉0","layer":0}]}
+{"id":582,"expression_no_base_symbol":"($6704$↱$1225$)⇣⩺⋵$1104$⨻⩈⩔$2037$","expression":"(≴∭⊉25355↱≴∭⊉3400)⇣⩺⋵≴∭⊉3135⨻⩈⩔≴∭⊉5640","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6704,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1104,"base":7},"right_expr":{"type":"numeric_atoms","value":2037,"base":7}}},"used_operators":["F4yD0voBRQ","SR5kFfdi6N","nEsXyWgiOK"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≴∭⊉-50401","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6704","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=6704, right_input=1225, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3153","layer":1},{"info":"number node, value=1104","layer":2},{"info":"number node, value=2037","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=2037, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-3153, right_input=-174, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-12202","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25355↱≴∭⊉3400)⇣⩺⋵≴∭⊉3135⨻⩈⩔≴∭⊉5640=≴∭⊉-50401","reverse_text":"≴∭⊉-50401=(≴∭⊉25355↱≴∭⊉3400)⇣⩺⋵≴∭⊉3135⨻⩈⩔≴∭⊉5640","cot":[{"info":"≴∭⊉25355↱≴∭⊉3400=≴∭⊉-12123","layer":1},{"info":"≴∭⊉3135⨻⩈⩔≴∭⊉5640=≴∭⊉-336","layer":1},{"info":"≴∭⊉-12123⇣⩺⋵≴∭⊉-336=≴∭⊉-50401","layer":0}]}
+{"id":583,"expression_no_base_symbol":"↣≠⋷(∐⩳⋚$4635$)","expression":"↣≠⋷(∐⩳⋚≴∭⊉16341)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":174,"operation_count":2,"complexity_ratio":87.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":4635,"base":7}}},"used_operators":["Asc51vEJeQ","SL6IHkK8vl"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4635","layer":2},{"info":"compute unary expreesion, input=4635, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=681502","layer":1},{"info":"compute unary expreesion, input=681502, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷(∐⩳⋚≴∭⊉16341)=NaN","reverse_text":"NaN=↣≠⋷(∐⩳⋚≴∭⊉16341)","cot":[{"info":"∐⩳⋚≴∭⊉16341=≴∭⊉5535613","layer":1},{"info":"↣≠⋷≴∭⊉5535613=NaN","layer":0}]}
+{"id":584,"expression_no_base_symbol":"($1088$⊦⊿)≁↽≥($1874$⪷)","expression":"(≴∭⊉3113⊦⊿)≁↽≥(≴∭⊉5315⪷)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1913,"operation_count":3,"complexity_ratio":637.6666666666666,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1088,"base":7}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1874,"base":7}}},"used_operators":["ncHt1X6cMc","14qkJME0vr","Qctrpi3WzA"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":2},{"info":"compute unary expreesion, input=1088, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3343","layer":1},{"info":"number node, value=1874","layer":2},{"info":"compute unary expreesion, input=1874, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3343, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3113⊦⊿)≁↽≥(≴∭⊉5315⪷)=NaN","reverse_text":"NaN=(≴∭⊉3113⊦⊿)≁↽≥(≴∭⊉5315⪷)","cot":[{"info":"≴∭⊉3113⊦⊿=≴∭⊉-12514","layer":1},{"info":"≴∭⊉5315⪷=NaN","layer":1},{"info":"≴∭⊉-12514≁↽≥NaN=NaN","layer":0}]}
+{"id":585,"expression_no_base_symbol":"$1874$⩁⩘$1338$⋘⨑⨽","expression":"≴∭⊉5315⩁⩘≴∭⊉3621⋘⨑⨽","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1874,"base":7},"right_expr":{"type":"numeric_atoms","value":1338,"base":7}}},"used_operators":["WmT3o8z6ya","gub5Cegaqo"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉163056","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1874","layer":2},{"info":"number node, value=1338","layer":2},{"info":"compute binary expreesion, left_input=1874, right_input=1338, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6300","layer":1},{"info":"compute unary expreesion, input=6300, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=32283","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5315⩁⩘≴∭⊉3621⋘⨑⨽=≴∭⊉163056","reverse_text":"≴∭⊉163056=≴∭⊉5315⩁⩘≴∭⊉3621⋘⨑⨽","cot":[{"info":"≴∭⊉5315⩁⩘≴∭⊉3621=≴∭⊉24240","layer":1},{"info":"≴∭⊉24240⋘⨑⨽=≴∭⊉163056","layer":0}]}
+{"id":586,"expression_no_base_symbol":"↘($5781$⪛$4401$)","expression":"↘(≴∭⊉22566⪛≴∭⊉15555)","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":5781,"base":7},"right_expr":{"type":"numeric_atoms","value":4401,"base":7}}},"used_operators":["LdNpr8hQHL","uFcxV4UQCh"],"dependent_operators":["uFcxV4UQCh","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5781","layer":2},{"info":"number node, value=4401","layer":2},{"info":"compute binary expreesion, left_input=5781, right_input=4401, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1380","layer":1},{"info":"compute unary expreesion, input=1380, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=204","layer":0}],"base":7,"result_base":7,"text":"↘(≴∭⊉22566⪛≴∭⊉15555)=≴∭⊉411","reverse_text":"≴∭⊉411=↘(≴∭⊉22566⪛≴∭⊉15555)","cot":[{"info":"≴∭⊉22566⪛≴∭⊉15555=≴∭⊉4011","layer":1},{"info":"↘≴∭⊉4011=≴∭⊉411","layer":0}]}
+{"id":587,"expression_no_base_symbol":"$5774$⇌⫙⪟$7902$⊾⪯⋞$2623$∛$1898$","expression":"≴∭⊉22556⇌⫙⪟≴∭⊉32016⊾⪯⋞≴∭⊉10435∛≴∭⊉5351","highest_n_order":3,"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":5774,"base":7},"right_expr":{"type":"numeric_atoms","value":7902,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2623,"base":7},"right_expr":{"type":"numeric_atoms","value":1898,"base":7}}},"used_operators":["HK0tfVPux8","AFVx7xoS7T","w2537kitQq"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉-2251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5774","layer":2},{"info":"number node, value=7902","layer":2},{"info":"compute binary expreesion, left_input=5774, right_input=7902, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"number node, value=2623","layer":2},{"info":"number node, value=1898","layer":2},{"info":"compute binary expreesion, left_input=2623, right_input=1898, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-670, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22556⇌⫙⪟≴∭⊉32016⊾⪯⋞≴∭⊉10435∛≴∭⊉5351=≴∭⊉-2251","reverse_text":"≴∭⊉-2251=≴∭⊉22556⇌⫙⪟≴∭⊉32016⊾⪯⋞≴∭⊉10435∛≴∭⊉5351","cot":[{"info":"≴∭⊉22556⇌⫙⪟≴∭⊉32016=≴∭⊉221","layer":1},{"info":"≴∭⊉10435∛≴∭⊉5351=≴∭⊉-1645","layer":1},{"info":"≴∭⊉221⊾⪯⋞≴∭⊉-1645=≴∭⊉-2251","layer":0}]}
+{"id":588,"expression_no_base_symbol":"$1762$⨐$6989$⋥⋵⩄($1997$⪮%⊝$1369$)","expression":"≴∭⊉5065⨐≴∭⊉26243⋥⋵⩄(≴∭⊉5552⪮%⊝≴∭⊉3664)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1762,"base":7},"right_expr":{"type":"numeric_atoms","value":6989,"base":7}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1997,"base":7},"right_expr":{"type":"numeric_atoms","value":1369,"base":7}}},"used_operators":["7t3wd0Fuz7","Noe24qw2ks","IWmyXbctLI"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":2},{"info":"number node, value=6989","layer":2},{"info":"compute binary expreesion, left_input=1762, right_input=6989, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3524","layer":1},{"info":"number node, value=1997","layer":2},{"info":"number node, value=1369","layer":2},{"info":"compute binary expreesion, left_input=1997, right_input=1369, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4310","layer":1},{"info":"compute binary expreesion, left_input=-3524, right_input=4310, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5065⨐≴∭⊉26243⋥⋵⩄(≴∭⊉5552⪮%⊝≴∭⊉3664)=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉5065⨐≴∭⊉26243⋥⋵⩄(≴∭⊉5552⪮%⊝≴∭⊉3664)","cot":[{"info":"≴∭⊉5065⨐≴∭⊉26243=≴∭⊉-13163","layer":1},{"info":"≴∭⊉5552⪮%⊝≴∭⊉3664=≴∭⊉15365","layer":1},{"info":"≴∭⊉-13163⋥⋵⩄≴∭⊉15365=≴∭⊉221","layer":0}]}
+{"id":589,"expression_no_base_symbol":"(∂⩏⊆$2887$)↼⊘⨖$1381$⪔⊥$3203$","expression":"(∂⩏⊆≴∭⊉11263)↼⊘⨖≴∭⊉4012⪔⊥≴∭⊉12224","highest_n_order":1,"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":2887,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1381,"base":7},"right_expr":{"type":"numeric_atoms","value":3203,"base":7}}},"used_operators":["bPywburJMS","8WDwsbhb0R","HJ9erzHUuu"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉-6644","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":2},{"info":"compute unary expreesion, input=2887, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-8740","layer":1},{"info":"number node, value=1381","layer":2},{"info":"number node, value=3203","layer":2},{"info":"compute binary expreesion, left_input=1381, right_input=3203, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1081","layer":1},{"info":"compute binary expreesion, left_input=-8740, right_input=-1081, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-2384","layer":0}],"base":7,"result_base":7,"text":"(∂⩏⊆≴∭⊉11263)↼⊘⨖≴∭⊉4012⪔⊥≴∭⊉12224=≴∭⊉-6644","reverse_text":"≴∭⊉-6644=(∂⩏⊆≴∭⊉11263)↼⊘⨖≴∭⊉4012⪔⊥≴∭⊉12224","cot":[{"info":"∂⩏⊆≴∭⊉11263=≴∭⊉-34324","layer":1},{"info":"≴∭⊉4012⪔⊥≴∭⊉12224=≴∭⊉-3103","layer":1},{"info":"≴∭⊉-34324↼⊘⨖≴∭⊉-3103=≴∭⊉-6644","layer":0}]}
+{"id":590,"expression_no_base_symbol":"(-$6175$)⪮%⊝($1674$⪇≇⋚$3650$)","expression":"(-≴∭⊉24001)⪮%⊝(≴∭⊉4611⪇≇⋚≴∭⊉13433)","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":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6175,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1674,"base":7},"right_expr":{"type":"numeric_atoms","value":3650,"base":7}}},"used_operators":["IWmyXbctLI","t8gj7n24qd","3sJ7IOPOlU"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6175","layer":2},{"info":"compute unary expreesion, input=6175, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6175","layer":1},{"info":"number node, value=1674","layer":2},{"info":"number node, value=3650","layer":2},{"info":"compute binary expreesion, left_input=1674, right_input=3650, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-6175, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(-≴∭⊉24001)⪮%⊝(≴∭⊉4611⪇≇⋚≴∭⊉13433)=NaN","reverse_text":"NaN=(-≴∭⊉24001)⪮%⊝(≴∭⊉4611⪇≇⋚≴∭⊉13433)","cot":[{"info":"-≴∭⊉24001=≴∭⊉-24001","layer":1},{"info":"≴∭⊉4611⪇≇⋚≴∭⊉13433=≴∭⊉0","layer":1},{"info":"≴∭⊉-24001⪮%⊝≴∭⊉0=NaN","layer":0}]}
+{"id":591,"expression_no_base_symbol":"($5265$⊴$8620$)⨐($7456$⇩)","expression":"(≴∭⊉21231⊴≴∭⊉34063)⨐(≴∭⊉30511⇩)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8631,"operation_count":3,"complexity_ratio":2877.0,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5265,"base":7},"right_expr":{"type":"numeric_atoms","value":8620,"base":7}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":7456,"base":7}}},"used_operators":["Noe24qw2ks","Nsiff2A1zJ","vRio1gEz1j"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5265","layer":2},{"info":"number node, value=8620","layer":2},{"info":"compute binary expreesion, left_input=5265, right_input=8620, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=7456","layer":2},{"info":"compute unary expreesion, input=7456, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=7549","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7549, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21231⊴≴∭⊉34063)⨐(≴∭⊉30511⇩)=NaN","reverse_text":"NaN=(≴∭⊉21231⊴≴∭⊉34063)⨐(≴∭⊉30511⇩)","cot":[{"info":"≴∭⊉21231⊴≴∭⊉34063=NaN","layer":1},{"info":"≴∭⊉30511⇩=≴∭⊉31003","layer":1},{"info":"NaN⨐≴∭⊉31003=NaN","layer":0}]}
+{"id":592,"expression_no_base_symbol":"$1640$↳≱$1241$⊍⩺⋍$3025$∛$1018$","expression":"≴∭⊉4532↳≱≴∭⊉3422⊍⩺⋍≴∭⊉11551∛≴∭⊉2653","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":367,"operation_count":3,"complexity_ratio":122.33333333333333,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1640,"base":7},"right_expr":{"type":"numeric_atoms","value":1241,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3025,"base":7},"right_expr":{"type":"numeric_atoms","value":1018,"base":7}}},"used_operators":["OXDGMFPWZM","JwTKLfZU96","w2537kitQq"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1640","layer":2},{"info":"number node, value=1241","layer":2},{"info":"compute binary expreesion, left_input=1640, right_input=1241, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=3025","layer":2},{"info":"number node, value=1018","layer":2},{"info":"compute binary expreesion, left_input=3025, right_input=1018, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4532↳≱≴∭⊉3422⊍⩺⋍≴∭⊉11551∛≴∭⊉2653=NaN","reverse_text":"NaN=≴∭⊉4532↳≱≴∭⊉3422⊍⩺⋍≴∭⊉11551∛≴∭⊉2653","cot":[{"info":"≴∭⊉4532↳≱≴∭⊉3422=≴∭⊉0","layer":1},{"info":"≴∭⊉11551∛≴∭⊉2653=≴∭⊉124","layer":1},{"info":"≴∭⊉0⊍⩺⋍≴∭⊉124=NaN","layer":0}]}
+{"id":593,"expression_no_base_symbol":"(∂$1865$)↱$4683$⫉⨲⊜$6349$","expression":"(∂≴∭⊉5303)↱≴∭⊉16440⫉⨲⊜≴∭⊉24340","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1865,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4683,"base":7},"right_expr":{"type":"numeric_atoms","value":6349,"base":7}}},"used_operators":["SR5kFfdi6N","Uaa54Peajs","WhqkvtTD3t"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉63454","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1865","layer":2},{"info":"compute unary expreesion, input=1865, 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=4683","layer":2},{"info":"number node, value=6349","layer":2},{"info":"compute binary expreesion, left_input=4683, right_input=6349, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15670","layer":0}],"base":7,"result_base":7,"text":"(∂≴∭⊉5303)↱≴∭⊉16440⫉⨲⊜≴∭⊉24340=≴∭⊉63454","reverse_text":"≴∭⊉63454=(∂≴∭⊉5303)↱≴∭⊉16440⫉⨲⊜≴∭⊉24340","cot":[{"info":"∂≴∭⊉5303=NaN","layer":1},{"info":"≴∭⊉16440⫉⨲⊜≴∭⊉24340=≴∭⊉0","layer":1},{"info":"NaN↱≴∭⊉0=≴∭⊉63454","layer":0}]}
+{"id":594,"expression_no_base_symbol":"(⪸$3539$)⊔(⊵⊁$3610$)","expression":"(⪸≴∭⊉13214)⊔(⊵⊁≴∭⊉13345)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3539,"base":7}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3610,"base":7}}},"used_operators":["E4l6HwMY31","86A5ENbKR9","AvED76WdY7"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","uBihLCJcMX","k8jYdgA6NY"],"result":"≴∭⊉2356163","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3539","layer":2},{"info":"compute unary expreesion, input=3539, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-59954","layer":1},{"info":"number node, value=3610","layer":2},{"info":"compute unary expreesion, input=3610, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=20590","layer":1},{"info":"compute binary expreesion, left_input=-59954, right_input=20590, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=299876","layer":0}],"base":7,"result_base":7,"text":"(⪸≴∭⊉13214)⊔(⊵⊁≴∭⊉13345)=≴∭⊉2356163","reverse_text":"≴∭⊉2356163=(⪸≴∭⊉13214)⊔(⊵⊁≴∭⊉13345)","cot":[{"info":"⪸≴∭⊉13214=≴∭⊉-336536","layer":1},{"info":"⊵⊁≴∭⊉13345=≴∭⊉114013","layer":1},{"info":"≴∭⊉-336536⊔≴∭⊉114013=≴∭⊉2356163","layer":0}]}
+{"id":595,"expression_no_base_symbol":"∨∊⋏(∂⩏⊆$1249$)","expression":"∨∊⋏(∂⩏⊆≴∭⊉3433)","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":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1249,"base":7}}},"used_operators":["R5aXW34M0v","8WDwsbhb0R"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","14qkJME0vr","eLAdDNolq6"],"result":"≴∭⊉-666623","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":2},{"info":"compute unary expreesion, input=1249, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3826","layer":1},{"info":"compute unary expreesion, input=-3826, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-117617","layer":0}],"base":7,"result_base":7,"text":"∨∊⋏(∂⩏⊆≴∭⊉3433)=≴∭⊉-666623","reverse_text":"≴∭⊉-666623=∨∊⋏(∂⩏⊆≴∭⊉3433)","cot":[{"info":"∂⩏⊆≴∭⊉3433=≴∭⊉-14104","layer":1},{"info":"∨∊⋏≴∭⊉-14104=≴∭⊉-666623","layer":0}]}
+{"id":596,"expression_no_base_symbol":"($2873$⊝⪿⪼$3795$)⨜⨶$2977$⪝$7013$","expression":"(≴∭⊉11243⊝⪿⪼≴∭⊉14031)⨜⨶≴∭⊉11452⪝≴∭⊉26306","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":457,"operation_count":3,"complexity_ratio":152.33333333333334,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2873,"base":7},"right_expr":{"type":"numeric_atoms","value":3795,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2977,"base":7},"right_expr":{"type":"numeric_atoms","value":7013,"base":7}}},"used_operators":["HiPekx5b7W","3Oe9XWJUTD","wicAB68Tmb"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"≴∭⊉4345256","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2873","layer":2},{"info":"number node, value=3795","layer":2},{"info":"compute binary expreesion, left_input=2873, right_input=3795, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=53027","layer":1},{"info":"number node, value=2977","layer":2},{"info":"number node, value=7013","layer":2},{"info":"compute binary expreesion, left_input=2977, right_input=7013, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=53027, right_input=237, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=532475","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11243⊝⪿⪼≴∭⊉14031)⨜⨶≴∭⊉11452⪝≴∭⊉26306=≴∭⊉4345256","reverse_text":"≴∭⊉4345256=(≴∭⊉11243⊝⪿⪼≴∭⊉14031)⨜⨶≴∭⊉11452⪝≴∭⊉26306","cot":[{"info":"≴∭⊉11243⊝⪿⪼≴∭⊉14031=≴∭⊉310412","layer":1},{"info":"≴∭⊉11452⪝≴∭⊉26306=≴∭⊉456","layer":1},{"info":"≴∭⊉310412⨜⨶≴∭⊉456=≴∭⊉4345256","layer":0}]}
+{"id":597,"expression_no_base_symbol":"(⨦⪝$4178$)↳∿⪆($2106$%$1128$)","expression":"(⨦⪝≴∭⊉15116)↳∿⪆(≴∭⊉6066%≴∭⊉3201)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2439,"operation_count":3,"complexity_ratio":813.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":4178,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2106,"base":7},"right_expr":{"type":"numeric_atoms","value":1128,"base":7}}},"used_operators":["Cw4SuJJGHO","SUjycxNXIR","k8jYdgA6NY"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4178","layer":2},{"info":"compute unary expreesion, input=4178, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=2106","layer":2},{"info":"number node, value=1128","layer":2},{"info":"compute binary expreesion, left_input=2106, right_input=1128, op_id = k8jYdgA6NY binary_op_definition= 'None', output=978","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=978, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨦⪝≴∭⊉15116)↳∿⪆(≴∭⊉6066%≴∭⊉3201)=NaN","reverse_text":"NaN=(⨦⪝≴∭⊉15116)↳∿⪆(≴∭⊉6066%≴∭⊉3201)","cot":[{"info":"⨦⪝≴∭⊉15116=≴∭⊉-5331","layer":1},{"info":"≴∭⊉6066%≴∭⊉3201=≴∭⊉2565","layer":1},{"info":"≴∭⊉-5331↳∿⪆≴∭⊉2565=NaN","layer":0}]}
+{"id":598,"expression_no_base_symbol":"⩎⋉($8000$⪟⇏$4919$)","expression":"⩎⋉(≴∭⊉32216⪟⇏≴∭⊉20225)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":101,"operation_count":2,"complexity_ratio":50.5,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":8000,"base":7},"right_expr":{"type":"numeric_atoms","value":4919,"base":7}}},"used_operators":["FlXk3pOYe8","GODebY97qR"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8000","layer":2},{"info":"number node, value=4919","layer":2},{"info":"compute binary expreesion, left_input=8000, right_input=4919, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"⩎⋉(≴∭⊉32216⪟⇏≴∭⊉20225)=≴∭⊉124","reverse_text":"≴∭⊉124=⩎⋉(≴∭��32216⪟⇏≴∭⊉20225)","cot":[{"info":"≴∭⊉32216⪟⇏≴∭⊉20225=≴∭⊉-1","layer":1},{"info":"⩎⋉≴∭⊉-1=≴∭⊉124","layer":0}]}
+{"id":599,"expression_no_base_symbol":"$1855$⫉⨲⊜$1198$-$1927$⋭≵$1312$","expression":"≴∭⊉5260⫉⨲⊜≴∭⊉3331-≴∭⊉5422⋭≵≴∭⊉3553","highest_n_order":2,"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":1855,"base":7},"right_expr":{"type":"numeric_atoms","value":1198,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1927,"base":7},"right_expr":{"type":"numeric_atoms","value":1312,"base":7}}},"used_operators":["rysDP5nf3Z","WhqkvtTD3t","jBncVCNhdl"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉-124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":2},{"info":"number node, value=1198","layer":2},{"info":"compute binary expreesion, left_input=1855, right_input=1198, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=1927","layer":2},{"info":"number node, value=1312","layer":2},{"info":"compute binary expreesion, left_input=1927, right_input=1312, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-67","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5260⫉⨲⊜≴∭⊉3331-≴∭⊉5422⋭≵≴∭⊉3553=≴∭⊉-124","reverse_text":"≴∭⊉-124=≴∭⊉5260⫉⨲⊜≴∭⊉3331-≴∭⊉5422⋭≵≴∭⊉3553","cot":[{"info":"≴∭⊉5260⫉⨲⊜≴∭⊉3331=≴∭⊉0","layer":1},{"info":"≴∭⊉5422⋭≵≴∭⊉3553=≴∭⊉124","layer":1},{"info":"≴∭⊉0-≴∭⊉124=≴∭⊉-124","layer":0}]}
+{"id":600,"expression_no_base_symbol":"($3021$⫌⩹⨱)→⨶⪴$2105$↹⊜$2668$","expression":"(≴∭⊉11544⫌⩹⨱)→⨶⪴≴∭⊉6065↹⊜≴∭⊉10531","highest_n_order":1,"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":3021,"base":7}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2105,"base":7},"right_expr":{"type":"numeric_atoms","value":2668,"base":7}}},"used_operators":["bF6eod5Gvf","EBcxylXtPf","9bazX3JMtO"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉144355","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3021","layer":2},{"info":"compute unary expreesion, input=3021, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7443","layer":1},{"info":"number node, value=2105","layer":2},{"info":"number node, value=2668","layer":2},{"info":"compute binary expreesion, left_input=2105, right_input=2668, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6558","layer":1},{"info":"compute binary expreesion, left_input=7443, right_input=-6558, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=27970","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11544⫌⩹⨱)→⨶⪴≴∭⊉6065↹⊜≴∭⊉10531=≴∭⊉144355","reverse_text":"≴∭⊉144355=(≴∭⊉11544⫌⩹⨱)→⨶⪴≴∭⊉6065↹⊜≴∭⊉10531","cot":[{"info":"≴∭⊉11544⫌⩹⨱=≴∭⊉30462","layer":1},{"info":"≴∭⊉6065↹⊜≴∭⊉10531=≴∭⊉-25056","layer":1},{"info":"≴∭⊉30462→⨶⪴≴∭⊉-25056=≴∭⊉144355","layer":0}]}
+{"id":601,"expression_no_base_symbol":"$3409$⩇∃⫛$1810$∙⊟($1953$⇉⇉)","expression":"≴∭⊉12640⩇∃⫛≴∭⊉5164∙⊟(≴∭⊉5460⇉⇉)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1261,"operation_count":3,"complexity_ratio":420.3333333333333,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3409,"base":7},"right_expr":{"type":"numeric_atoms","value":1810,"base":7}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1953,"base":7}}},"used_operators":["SxTAKzQCrw","1aApVXNlOP","diKm42VcIt"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9"],"result":"≴∭⊉154402","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3409","layer":2},{"info":"number node, value=1810","layer":2},{"info":"compute binary expreesion, left_input=3409, right_input=1810, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1126","layer":1},{"info":"number node, value=1953","layer":2},{"info":"compute unary expreesion, input=1953, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-118060","layer":1},{"info":"compute binary expreesion, left_input=-1126, right_input=-118060, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30382","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12640⩇∃⫛≴∭⊉5164∙⊟(≴∭⊉5460⇉⇉)=≴∭⊉154402","reverse_text":"≴∭⊉154402=≴∭⊉12640⩇∃⫛≴∭⊉5164∙⊟(≴∭⊉5460⇉⇉)","cot":[{"info":"≴∭⊉12640⩇∃⫛≴∭⊉5164=≴∭⊉-3166","layer":1},{"info":"≴∭⊉5460⇉⇉=≴∭⊉-1001125","layer":1},{"info":"≴∭⊉-3166∙⊟≴∭⊉-1001125=≴∭⊉154402","layer":0}]}
+{"id":602,"expression_no_base_symbol":"($4623$⇣⩺⋵$3242$)⨼⩣($2697$⫉⨲⊜$1068$)","expression":"(≴∭⊉16323⇣⩺⋵≴∭⊉12311)⨼⩣(≴∭⊉10602⫉⨲⊜≴∭⊉3054)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":437,"operation_count":3,"complexity_ratio":145.66666666666666,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4623,"base":7},"right_expr":{"type":"numeric_atoms","value":3242,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2697,"base":7},"right_expr":{"type":"numeric_atoms","value":1068,"base":7}}},"used_operators":["JxwMv5le6e","F4yD0voBRQ","WhqkvtTD3t"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4623","layer":2},{"info":"number node, value=3242","layer":2},{"info":"compute binary expreesion, left_input=4623, right_input=3242, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=2697","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=2697, right_input=1068, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16323⇣⩺⋵≴∭⊉12311)⨼⩣(≴∭⊉10602⫉⨲⊜≴∭⊉3054)=NaN","reverse_text":"NaN=(≴∭⊉16323⇣⩺⋵≴∭⊉12311)⨼⩣(≴∭⊉10602⫉⨲⊜≴∭⊉3054)","cot":[{"info":"≴∭⊉16323⇣⩺⋵≴∭⊉12311=≴∭⊉-521","layer":1},{"info":"≴∭⊉10602⫉⨲⊜≴∭⊉3054=≴∭⊉0","layer":1},{"info":"≴∭⊉-521⨼⩣≴∭⊉0=NaN","layer":0}]}
+{"id":603,"expression_no_base_symbol":"$5129$∓⋝$9115$⊓⋫","expression":"≴∭⊉20645∓⋝≴∭⊉35401⊓⋫","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61,"operation_count":2,"complexity_ratio":30.5,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5129,"base":7},"right_expr":{"type":"numeric_atoms","value":9115,"base":7}}},"used_operators":["IqGBaFP0uj","PoHhknlbAi"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"≴∭⊉-366","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5129","layer":2},{"info":"number node, value=9115","layer":2},{"info":"compute binary expreesion, left_input=5129, right_input=9115, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-195","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20645∓⋝≴∭⊉35401⊓⋫=≴∭⊉-366","reverse_text":"≴∭⊉-366=≴∭⊉20645∓⋝≴∭⊉35401⊓⋫","cot":[{"info":"≴∭⊉20645∓⋝≴∭⊉35401=≴∭⊉124","layer":1},{"info":"≴∭⊉124⊓⋫=≴∭⊉-366","layer":0}]}
+{"id":604,"expression_no_base_symbol":"$2957$⪢$1052$⩵∡($1839$⩏)","expression":"≴∭⊉11423⪢≴∭⊉3032⩵∡(≴∭⊉5235⩏)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7521,"operation_count":3,"complexity_ratio":2507.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2957,"base":7},"right_expr":{"type":"numeric_atoms","value":1052,"base":7}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1839,"base":7}}},"used_operators":["Y7wcNGrDQJ","dWAJyo7jo9","iA2gmKZ3Wj"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","k8jYdgA6NY","z6LnFrNh4i","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2957","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=2957, right_input=1052, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1839","layer":2},{"info":"compute unary expreesion, input=1839, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11423⪢≴∭⊉3032⩵∡(≴∭⊉5235⩏)=NaN","reverse_text":"NaN=≴∭⊉11423⪢≴∭⊉3032⩵∡(≴∭⊉5235⩏)","cot":[{"info":"≴∭⊉11423⪢≴∭⊉3032=NaN","layer":1},{"info":"≴∭⊉5235⩏=≴∭⊉0","layer":1},{"info":"NaN⩵∡≴∭⊉0=NaN","layer":0}]}
+{"id":605,"expression_no_base_symbol":"(≅≯⇸$3171$)⨭⪣$2378$≃$5900$","expression":"(≅≯⇸≴∭⊉12150)⨭⪣≴∭⊉6635≃≴∭⊉23126","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3171,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2378,"base":7},"right_expr":{"type":"numeric_atoms","value":5900,"base":7}}},"used_operators":["kn8WO9XteQ","apS25hmuAe","YbVcJGFEVW"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉106430","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3171","layer":2},{"info":"compute unary expreesion, input=3171, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=20361","layer":1},{"info":"number node, value=2378","layer":2},{"info":"number node, value=5900","layer":2},{"info":"compute binary expreesion, left_input=2378, right_input=5900, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9552","layer":1},{"info":"compute binary expreesion, left_input=20361, right_input=-9552, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=19082","layer":0}],"base":7,"result_base":7,"text":"(≅≯⇸≴∭⊉12150)⨭⪣≴∭⊉6635≃≴∭⊉23126=≴∭⊉106430","reverse_text":"≴∭⊉106430=(≅≯⇸≴∭⊉12150)⨭⪣≴∭⊉6635≃≴∭⊉23126","cot":[{"info":"≅≯⇸≴∭⊉12150=≴∭⊉113235","layer":1},{"info":"≴∭⊉6635≃≴∭⊉23126=≴∭⊉-36564","layer":1},{"info":"≴∭⊉113235⨭⪣≴∭⊉-36564=≴∭⊉106430","layer":0}]}
+{"id":606,"expression_no_base_symbol":"$6058$⩒⫫$1102$⫲≸⪮$2155$∇⊂⋱$2687$","expression":"≴∭⊉23443⩒⫫≴∭⊉3133⫲≸⪮≴∭⊉6166∇⊂⋱≴∭⊉10556","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5793,"operation_count":3,"complexity_ratio":1931.0,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6058,"base":7},"right_expr":{"type":"numeric_atoms","value":1102,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2155,"base":7},"right_expr":{"type":"numeric_atoms","value":2687,"base":7}}},"used_operators":["P3lXMJvFrc","KFSx94NKJn","nhYeJWJD5X"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉22532","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6058","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=6058, right_input=1102, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5756","layer":1},{"info":"number node, value=2155","layer":2},{"info":"number node, value=2687","layer":2},{"info":"compute binary expreesion, left_input=2155, right_input=2687, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3764","layer":1},{"info":"compute binary expreesion, left_input=5756, right_input=3764, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5756","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23443⩒⫫≴∭⊉3133⫲≸⪮≴∭⊉6166∇⊂⋱≴∭⊉10556=≴∭⊉22532","reverse_text":"≴∭⊉22532=≴∭⊉23443⩒⫫≴∭⊉3133⫲≸⪮≴∭⊉6166∇⊂⋱≴∭⊉10556","cot":[{"info":"≴∭⊉23443⩒⫫≴∭⊉3133=≴∭⊉22532","layer":1},{"info":"≴∭⊉6166∇⊂⋱≴∭⊉10556=≴∭⊉13655","layer":1},{"info":"≴∭⊉22532⫲≸⪮≴∭⊉13655=≴∭⊉22532","layer":0}]}
+{"id":607,"expression_no_base_symbol":"($2244$≠≀$5004$)⪮%⊝($1409$⨕⋳)","expression":"(≴∭⊉6354≠≀≴∭⊉20406)⪮%⊝(≴∭⊉4052⨕⋳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2244,"base":7},"right_expr":{"type":"numeric_atoms","value":5004,"base":7}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1409,"base":7}}},"used_operators":["IWmyXbctLI","IwW236VD4Y","4X4GscPmMf"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"≴∭⊉-32315","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2244","layer":2},{"info":"number node, value=5004","layer":2},{"info":"compute binary expreesion, left_input=2244, right_input=5004, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4182","layer":1},{"info":"number node, value=1409","layer":2},{"info":"compute unary expreesion, input=1409, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=43620","layer":1},{"info":"compute binary expreesion, left_input=-4182, right_input=43620, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8048","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6354≠≀≴∭⊉20406)⪮%⊝(≴∭⊉4052⨕⋳)=≴∭⊉-32315","reverse_text":"≴∭⊉-32315=(≴∭⊉6354≠≀≴∭⊉20406)⪮%⊝(≴∭⊉4052⨕⋳)","cot":[{"info":"≴∭⊉6354≠≀≴∭⊉20406=≴∭⊉-15123","layer":1},{"info":"≴∭⊉4052⨕⋳=≴∭⊉241113","layer":1},{"info":"≴∭⊉-15123⪮%⊝≴∭⊉241113=≴∭⊉-32315","layer":0}]}
+{"id":608,"expression_no_base_symbol":"⫛⫱⨽$2163$↢$4664$","expression":"⫛⫱⨽≴∭⊉6210↢≴∭⊉16412","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1434,"operation_count":2,"complexity_ratio":717.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2163,"base":7},"right_expr":{"type":"numeric_atoms","value":4664,"base":7}}},"used_operators":["DlLNRPXxWL","WR6HLWljOP"],"dependent_operators":["rGHVDoGpnC","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2163","layer":2},{"info":"number node, value=4664","layer":2},{"info":"compute binary expreesion, left_input=2163, right_input=4664, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1679","layer":1},{"info":"compute unary expreesion, input=1679, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⫛⫱⨽≴∭⊉6210↢≴∭⊉16412=≴∭⊉0","reverse_text":"≴∭⊉0=⫛⫱⨽≴∭⊉6210↢≴∭⊉16412","cot":[{"info":"≴∭⊉6210↢≴∭⊉16412=≴∭⊉4616","layer":1},{"info":"⫛⫱⨽≴∭⊉4616=≴∭⊉0","layer":0}]}
+{"id":609,"expression_no_base_symbol":"(⊿$3237$)≬⋮$2008$≌$1001$","expression":"(⊿≴∭⊉12303)≬⋮≴∭⊉5566≌≴∭⊉2630","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1167,"operation_count":3,"complexity_ratio":389.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3237,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2008,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}}},"used_operators":["kbkesczE7y","DO4fhlbJSI","lyWz822IDG"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3237","layer":2},{"info":"compute unary expreesion, input=3237, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-13686","layer":1},{"info":"number node, value=2008","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=2008, right_input=1001, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13686, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊿≴∭⊉12303)≬⋮≴∭⊉5566≌≴∭⊉2630=NaN","reverse_text":"NaN=(⊿≴∭⊉12303)≬⋮≴∭⊉5566≌≴∭⊉2630","cot":[{"info":"⊿≴∭⊉12303=≴∭⊉-54621","layer":1},{"info":"≴∭⊉5566≌≴∭⊉2630=NaN","layer":1},{"info":"≴∭⊉-54621≬⋮NaN=NaN","layer":0}]}
+{"id":610,"expression_no_base_symbol":"$2114$⇂≾⫗$2360$⪡($4293$⋭≵$2666$)","expression":"≴∭⊉6110⇂≾⫗≴∭⊉6611⪡(≴∭⊉15342⋭≵≴∭⊉10526)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2114,"base":7},"right_expr":{"type":"numeric_atoms","value":2360,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4293,"base":7},"right_expr":{"type":"numeric_atoms","value":2666,"base":7}}},"used_operators":["oraRL2iQuh","aBQ6xLxuTc","jBncVCNhdl"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉6523","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":2},{"info":"number node, value=2360","layer":2},{"info":"compute binary expreesion, left_input=2114, right_input=2360, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=4293","layer":2},{"info":"number node, value=2666","layer":2},{"info":"compute binary expreesion, left_input=4293, right_input=2666, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=67, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2320","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6110⇂≾⫗≴∭⊉6611⪡(≴∭⊉15342⋭≵≴∭⊉10526)=≴∭⊉6523","reverse_text":"≴∭⊉6523=≴∭⊉6110⇂≾⫗≴∭⊉6611⪡(≴∭⊉15342⋭≵≴∭���10526)","cot":[{"info":"≴∭⊉6110⇂≾⫗≴∭⊉6611=≴∭⊉-1654","layer":1},{"info":"≴∭⊉15342⋭≵≴∭⊉10526=≴∭⊉124","layer":1},{"info":"≴∭⊉-1654⪡≴∭⊉124=≴∭⊉6523","layer":0}]}
+{"id":611,"expression_no_base_symbol":"($1001$⋷$3793$)⩌⋺(≘$3095$)","expression":"(≴∭⊉2630⋷≴∭⊉14026)⩌⋺(≘≴∭⊉12011)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":212,"operation_count":3,"complexity_ratio":70.66666666666667,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1001,"base":7},"right_expr":{"type":"numeric_atoms","value":3793,"base":7}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":3095,"base":7}}},"used_operators":["g7Hmc5v1ko","23Mk6UjR3U","tcjXMdvYtA"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"≴∭⊉-112033160","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=3793","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=3793, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6585","layer":1},{"info":"number node, value=3095","layer":2},{"info":"compute unary expreesion, input=3095, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6825259","layer":1},{"info":"compute binary expreesion, left_input=6585, right_input=6825259, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6831965","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2630⋷≴∭⊉14026)⩌⋺(≘≴∭⊉12011)=≴∭⊉-112033160","reverse_text":"≴∭⊉-112033160=(≴∭⊉2630⋷≴∭⊉14026)⩌⋺(≘≴∭⊉12011)","cot":[{"info":"≴∭⊉2630⋷≴∭⊉14026=≴∭⊉25125","layer":1},{"info":"≘≴∭⊉12011=≴∭⊉112004500","layer":1},{"info":"≴∭⊉25125⩌⋺≴∭⊉112004500=≴∭⊉-112033160","layer":0}]}
+{"id":612,"expression_no_base_symbol":"(⫵↿$1944$)⪛⫼$2779$∴$7473$","expression":"(⫵↿≴∭⊉5445)⪛⫼≴∭⊉11050∴≴∭⊉30534","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1944,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2779,"base":7},"right_expr":{"type":"numeric_atoms","value":7473,"base":7}}},"used_operators":["hyuBjUqXlG","ivGwdmUAux","hrf7POJlIJ"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1944","layer":2},{"info":"compute unary expreesion, input=1944, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"number node, value=2779","layer":2},{"info":"number node, value=7473","layer":2},{"info":"compute binary expreesion, left_input=2779, right_input=7473, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7206","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=7206, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(⫵↿≴∭⊉5445)⪛⫼≴∭⊉11050∴≴∭⊉30534=≴∭⊉2552","reverse_text":"≴∭⊉2552=(⫵↿≴∭⊉5445)⪛⫼≴∭⊉11050∴≴∭⊉30534","cot":[{"info":"⫵↿≴∭⊉5445=≴∭⊉254","layer":1},{"info":"≴∭⊉11050∴≴∭⊉30534=≴∭⊉30003","layer":1},{"info":"≴∭⊉254⪛⫼≴∭⊉30003=≴∭⊉2552","layer":0}]}
+{"id":613,"expression_no_base_symbol":"⨭⩧⫛($5406$⋻⩜⩜$2467$)","expression":"⨭⩧⫛(≴∭⊉21522⋻⩜⩜≴∭⊉10123)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34760,"operation_count":2,"complexity_ratio":17380.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5406,"base":7},"right_expr":{"type":"numeric_atoms","value":2467,"base":7}}},"used_operators":["g21JL6JxX7","oDCm7WA9JY"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5406","layer":2},{"info":"number node, value=2467","layer":2},{"info":"compute binary expreesion, left_input=5406, right_input=2467, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10812","layer":1},{"info":"compute unary expreesion, input=10812, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨭⩧⫛(≴∭⊉21522⋻⩜⩜≴∭⊉10123)=NaN","reverse_text":"NaN=⨭⩧⫛(≴∭⊉21522⋻⩜⩜≴∭⊉10123)","cot":[{"info":"≴∭⊉21522⋻⩜⩜≴∭⊉10123=≴∭⊉43344","layer":1},{"info":"⨭⩧⫛≴∭⊉43344=NaN","layer":0}]}
+{"id":614,"expression_no_base_symbol":"$5982$⨥⫆$2530$⇟⨁⪰","expression":"≴∭⊉23304⨥⫆≴∭⊉10243⇟⨁⪰","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5982,"base":7},"right_expr":{"type":"numeric_atoms","value":2530,"base":7}}},"used_operators":["BX1lVwlMe0","yXekIHxTD4"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≴∭⊉-20620","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5982","layer":2},{"info":"number node, value=2530","layer":2},{"info":"compute binary expreesion, left_input=5982, right_input=2530, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4936","layer":1},{"info":"compute unary expreesion, input=4936, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-5110","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23304⨥⫆≴∭⊉10243⇟⨁⪰=≴∭⊉-20620","reverse_text":"≴∭⊉-20620=≴∭⊉23304⨥⫆≴∭⊉10243⇟⨁⪰","cot":[{"info":"≴∭⊉23304⨥⫆≴∭⊉10243=≴∭⊉20251","layer":1},{"info":"≴∭⊉20251⇟⨁⪰=≴∭⊉-20620","layer":0}]}
+{"id":615,"expression_no_base_symbol":"(∐⩳⋚$1008$)⊎←↗","expression":"(∐⩳⋚≴∭⊉2640)⊎←↗","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":182,"operation_count":2,"complexity_ratio":91.0,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1008,"base":7}}},"used_operators":["dwb5p0fa6d","SL6IHkK8vl"],"dependent_operators":["sdazOOVcIp","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"≴∭⊉-2161216","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":2},{"info":"compute unary expreesion, input=1008, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=133825","layer":1},{"info":"compute unary expreesion, input=133825, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-266965","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚≴∭⊉2640)⊎←↗=≴∭⊉-2161216","reverse_text":"≴∭⊉-2161216=(∐⩳⋚≴∭⊉2640)⊎←↗","cot":[{"info":"∐⩳⋚≴∭⊉2640=≴∭⊉1065106","layer":1},{"info":"≴∭⊉1065106⊎←↗=≴∭⊉-2161216","layer":0}]}
+{"id":616,"expression_no_base_symbol":"$6479$⩌⋺$6553$∽$5779$∝$3166$","expression":"≴∭⊉24614⩌⋺≴∭⊉25051∽≴∭⊉22564∝≴∭⊉12142","highest_n_order":1,"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":6479,"base":7},"right_expr":{"type":"numeric_atoms","value":6553,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5779,"base":7},"right_expr":{"type":"numeric_atoms","value":3166,"base":7}}},"used_operators":["y4ImoPnbV5","g7Hmc5v1ko","cTDWOvIxvz"],"dependent_operators":["NTOWxs364D","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉261444","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6479","layer":2},{"info":"number node, value=6553","layer":2},{"info":"compute binary expreesion, left_input=6479, right_input=6553, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-13153","layer":1},{"info":"number node, value=5779","layer":2},{"info":"number node, value=3166","layer":2},{"info":"compute binary expreesion, left_input=5779, right_input=3166, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5784","layer":1},{"info":"compute binary expreesion, left_input=-13153, right_input=5784, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=48591","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24614⩌⋺≴∭⊉25051∽≴∭⊉22564∝≴∭⊉12142=≴∭⊉261444","reverse_text":"≴∭⊉261444=≴∭⊉24614⩌⋺≴∭⊉25051∽≴∭⊉22564∝≴∭⊉12142","cot":[{"info":"≴∭⊉24614⩌⋺≴∭⊉25051=≴∭⊉-53230","layer":1},{"info":"≴∭⊉22564∝≴∭⊉12142=≴∭⊉22602","layer":1},{"info":"≴∭⊉-53230∽≴∭⊉22602=≴∭⊉261444","layer":0}]}
+{"id":617,"expression_no_base_symbol":"$3225$⋾⨃∁$1111$⫸⊐($5847$⪑⩈)","expression":"≴∭⊉12255⋾⨃∁≴∭⊉3145⫸⊐(≴∭⊉23022⪑⩈)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1192,"operation_count":3,"complexity_ratio":397.3333333333333,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3225,"base":7},"right_expr":{"type":"numeric_atoms","value":1111,"base":7}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":5847,"base":7}}},"used_operators":["mqXw5SEYmG","212REbPD9h","C6VvDP6HwP"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"≴∭⊉1305325","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3225","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=3225, right_input=1111, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=12329784","layer":1},{"info":"number node, value=5847","layer":2},{"info":"compute unary expreesion, input=5847, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=42519","layer":1},{"info":"compute binary expreesion, left_input=12329784, right_input=42519, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=169951","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12255⋾⨃∁≴∭⊉3145⫸⊐(≴∭⊉23022⪑⩈)=≴∭⊉1305325","reverse_text":"≴∭⊉1305325=≴∭⊉12255⋾⨃∁≴∭⊉3145⫸⊐(≴∭⊉23022⪑⩈)","cot":[{"info":"≴∭⊉12255⋾⨃∁≴∭⊉3145=≴∭⊉206541615","layer":1},{"info":"≴∭⊉23022⪑⩈=≴∭⊉234651","layer":1},{"info":"≴∭⊉206541615⫸⊐≴∭⊉234651=≴∭⊉1305325","layer":0}]}
+{"id":618,"expression_no_base_symbol":"(≱⇩⩕$3908$)⨂≜($1485$⪥$2504$)","expression":"(≱⇩⩕≴∭⊉14252)⨂≜(≴∭⊉4221⪥≴∭⊉10205)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":3908,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1485,"base":7},"right_expr":{"type":"numeric_atoms","value":2504,"base":7}}},"used_operators":["k1SHOSEABc","3DZMoQKiUl","QbnwKVWMIQ"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3908","layer":2},{"info":"compute unary expreesion, input=3908, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=1485","layer":2},{"info":"number node, value=2504","layer":2},{"info":"compute binary expreesion, left_input=1485, right_input=2504, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10592","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=10592, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≱⇩⩕≴∭⊉14252)⨂≜(≴∭⊉4221⪥≴∭⊉10205)=NaN","reverse_text":"NaN=(≱⇩⩕≴∭⊉14252)⨂≜(≴∭⊉4221⪥≴∭⊉10205)","cot":[{"info":"≱⇩⩕≴∭⊉14252=≴∭⊉221","layer":1},{"info":"≴∭⊉4221⪥≴∭⊉10205=≴∭⊉42611","layer":1},{"info":"≴∭⊉221⨂≜≴∭⊉42611=NaN","layer":0}]}
+{"id":619,"expression_no_base_symbol":"($1128$⇍⊗$3105$)∴($2881$⪍↜⋙$1529$)","expression":"(≴∭⊉3201⇍⊗≴∭⊉12024)∴(≴∭⊉11254⪍↜⋙≴∭⊉4313)","highest_n_order":5,"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":1128,"base":7},"right_expr":{"type":"numeric_atoms","value":3105,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2881,"base":7},"right_expr":{"type":"numeric_atoms","value":1529,"base":7}}},"used_operators":["hrf7POJlIJ","5uvYHDjeKN","L05ObWFQCd"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉3245","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1128","layer":2},{"info":"number node, value=3105","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=3105, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2881","layer":2},{"info":"number node, value=1529","layer":2},{"info":"compute binary expreesion, left_input=2881, right_input=1529, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2704","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=2704, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3201⇍⊗≴∭⊉12024)∴(≴∭⊉11254⪍↜⋙≴∭⊉4313)=≴∭⊉3245","reverse_text":"≴∭⊉3245=(≴∭⊉3201⇍⊗≴∭⊉12024)∴(≴∭⊉11254⪍↜⋙≴∭⊉4313)","cot":[{"info":"≴∭⊉3201⇍⊗≴∭⊉12024=≴∭⊉-466","layer":1},{"info":"≴∭⊉11254⪍↜⋙≴∭⊉4313=≴∭⊉10612","layer":1},{"info":"≴∭⊉-466∴≴∭⊉10612=≴∭⊉3245","layer":0}]}
+{"id":620,"expression_no_base_symbol":"($1798$∽$4339$)⪒$5024$⊕∕$4173$","expression":"(≴∭⊉5146∽≴∭⊉15436)⪒≴∭⊉20435⊕∕≴∭⊉15111","highest_n_order":3,"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":1798,"base":7},"right_expr":{"type":"numeric_atoms","value":4339,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5024,"base":7},"right_expr":{"type":"numeric_atoms","value":4173,"base":7}}},"used_operators":["f6k1SAg4EE","y4ImoPnbV5","9cloC0Ngie"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉66665","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1798","layer":2},{"info":"number node, value=4339","layer":2},{"info":"compute binary expreesion, left_input=1798, right_input=4339, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-21829","layer":1},{"info":"number node, value=5024","layer":2},{"info":"number node, value=4173","layer":2},{"info":"compute binary expreesion, left_input=5024, right_input=4173, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5024","layer":1},{"info":"compute binary expreesion, left_input=-21829, right_input=5024, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=16805","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5146∽≴∭⊉15436)⪒≴∭⊉20435⊕∕≴∭⊉15111=≴∭⊉66665","reverse_text":"≴∭⊉66665=(≴∭⊉5146∽≴∭⊉15436)⪒≴∭⊉20435⊕∕≴∭⊉15111","cot":[{"info":"≴∭⊉5146∽≴∭⊉15436=≴∭⊉-120433","layer":1},{"info":"≴∭⊉20435⊕∕≴∭⊉15111=≴∭⊉20435","layer":1},{"info":"≴∭⊉-120433⪒≴∭⊉20435=≴∭⊉66665","layer":0}]}
+{"id":621,"expression_no_base_symbol":"($5536$↬$1672$)⩇∃⫛($6632$⋅⇍$2039$)","expression":"(≴∭⊉22066↬≴∭⊉4606)⩇∃⫛(≴∭⊉25223⋅⇍≴∭⊉5642)","highest_n_order":5,"priority_hierarchical_complexity":2,"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":5536,"base":7},"right_expr":{"type":"numeric_atoms","value":1672,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6632,"base":7},"right_expr":{"type":"numeric_atoms","value":2039,"base":7}}},"used_operators":["1aApVXNlOP","B5M0gjZbta","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rGHVDoGpnC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5536","layer":2},{"info":"number node, value=1672","layer":2},{"info":"compute binary expreesion, left_input=5536, right_input=1672, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6632","layer":2},{"info":"number node, value=2039","layer":2},{"info":"compute binary expreesion, left_input=6632, right_input=2039, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22066↬≴∭⊉4606)⩇∃⫛(≴∭⊉25223⋅⇍≴∭⊉5642)=NaN","reverse_text":"NaN=(≴∭⊉22066↬≴∭⊉4606)⩇∃⫛(≴∭⊉25223⋅⇍≴∭⊉5642)","cot":[{"info":"≴∭⊉22066↬≴∭⊉4606=NaN","layer":1},{"info":"≴∭⊉25223⋅⇍≴∭⊉5642=≴∭⊉-31","layer":1},{"info":"NaN⩇∃⫛≴∭⊉-31=NaN","layer":0}]}
+{"id":622,"expression_no_base_symbol":"($6105$≬⇓$1650$)∺≝⩲(⋃$3971$)","expression":"(≴∭⊉23541≬⇓≴∭⊉4545)∺≝⩲(⋃≴∭⊉14402)","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":6105,"base":7},"right_expr":{"type":"numeric_atoms","value":1650,"base":7}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3971,"base":7}}},"used_operators":["KPf6cnQVty","jWTQ2TZYIH","3mBM5G4a3l"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","g55IO6H4Gj"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6105","layer":2},{"info":"number node, value=1650","layer":2},{"info":"compute binary expreesion, left_input=6105, right_input=1650, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=3971","layer":2},{"info":"compute unary expreesion, input=3971, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=8044","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=8044, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23541≬⇓≴∭⊉4545)∺≝⩲(⋃≴∭⊉14402)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉23541≬⇓≴∭⊉4545)∺≝⩲(⋃≴∭⊉14402)","cot":[{"info":"≴∭⊉23541≬⇓≴∭⊉4545=≴∭⊉-31","layer":1},{"info":"⋃≴∭⊉14402=≴∭⊉32311","layer":1},{"info":"≴∭⊉-31∺≝⩲≴∭⊉32311=≴∭⊉316","layer":0}]}
+{"id":623,"expression_no_base_symbol":"∷≠($2620$⪐)","expression":"∷≠(≴∭⊉10432⪐)","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":2620,"base":7}}},"used_operators":["QiR2Oyf5Xj","eH2TOUuTDT"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉21164","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2620","layer":2},{"info":"compute unary expreesion, input=2620, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5240","layer":1},{"info":"compute unary expreesion, input=5240, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5240","layer":0}],"base":7,"result_base":7,"text":"∷≠(≴∭⊉10432⪐)=≴∭⊉21164","reverse_text":"≴∭⊉21164=∷≠(≴∭⊉10432⪐)","cot":[{"info":"≴∭⊉10432⪐=≴∭⊉21164","layer":1},{"info":"∷≠≴∭⊉21164=≴∭⊉21164","layer":0}]}
+{"id":624,"expression_no_base_symbol":"($3075$↺$2158$)≥⨤⩑$6042$⪶≀⋏$1286$","expression":"(≴∭⊉11652↺≴∭⊉6202)≥⨤⩑≴∭⊉23421⪶≀⋏≴∭⊉3515","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":293062,"operation_count":3,"complexity_ratio":97687.33333333333,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3075,"base":7},"right_expr":{"type":"numeric_atoms","value":2158,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6042,"base":7},"right_expr":{"type":"numeric_atoms","value":1286,"base":7}}},"used_operators":["gJLn6v0xnP","7j4O788W3g","zR4jO40bMj"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉15404","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3075","layer":2},{"info":"number node, value=2158","layer":2},{"info":"compute binary expreesion, left_input=3075, right_input=2158, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2158","layer":1},{"info":"number node, value=6042","layer":2},{"info":"number node, value=1286","layer":2},{"info":"compute binary expreesion, left_input=6042, right_input=1286, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-20930","layer":1},{"info":"compute binary expreesion, left_input=2158, right_input=-20930, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=4316","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11652↺≴∭⊉6202)≥⨤⩑≴∭⊉23421⪶≀⋏≴∭⊉3515=≴∭⊉15404","reverse_text":"≴∭⊉15404=(≴∭⊉11652↺≴∭⊉6202)≥⨤⩑≴∭⊉23421⪶≀⋏≴∭⊉3515","cot":[{"info":"≴∭⊉11652↺≴∭⊉6202=≴∭⊉6202","layer":1},{"info":"≴∭⊉23421⪶≀⋏≴∭⊉3515=≴∭⊉-115010","layer":1},{"info":"≴∭⊉6202≥⨤⩑≴∭⊉-115010=≴∭⊉15404","layer":0}]}
+{"id":625,"expression_no_base_symbol":"($6856$↙$1090$)≝⊿($1570$⩌⋺$1084$)","expression":"(≴∭⊉25663↙≴∭⊉3115)≝⊿(≴∭⊉4402⩌⋺≴∭⊉3106)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1114,"operation_count":3,"complexity_ratio":371.3333333333333,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6856,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1570,"base":7},"right_expr":{"type":"numeric_atoms","value":1084,"base":7}}},"used_operators":["OKKcZfAt5B","yyfyN0ffXY","g7Hmc5v1ko"],"dependent_operators":["12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉33106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6856","layer":2},{"info":"number node, value=1090","layer":2},{"info":"compute binary expreesion, left_input=6856, right_input=1090, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3270","layer":1},{"info":"number node, value=1570","layer":2},{"info":"number node, value=1084","layer":2},{"info":"compute binary expreesion, left_input=1570, right_input=1084, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2775","layer":1},{"info":"compute binary expreesion, left_input=-3270, right_input=-2775, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=8287","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25663↙≴∭⊉3115)≝⊿(≴∭⊉4402⩌⋺≴∭⊉3106)=≴∭⊉33106","reverse_text":"≴∭⊉33106=(≴∭⊉25663↙≴∭⊉3115)≝⊿(≴∭⊉4402⩌⋺≴∭⊉3106)","cot":[{"info":"≴∭⊉25663↙≴∭⊉3115=≴∭⊉-12351","layer":1},{"info":"≴∭⊉4402⩌⋺≴∭⊉3106=≴∭⊉-11043","layer":1},{"info":"≴∭⊉-12351≝⊿≴∭⊉-11043=≴∭⊉33106","layer":0}]}
+{"id":626,"expression_no_base_symbol":"⇾⩊⇾($2757$⊓⋫)","expression":"⇾⩊⇾(≴∭⊉11016⊓⋫)","highest_n_order":1,"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":2757,"base":7}}},"used_operators":["bx9Z9DAK5y","IqGBaFP0uj"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉110535","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2757","layer":2},{"info":"compute unary expreesion, input=2757, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-2885","layer":1},{"info":"compute unary expreesion, input=-2885, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=19479","layer":0}],"base":7,"result_base":7,"text":"⇾⩊⇾(≴∭⊉11016⊓⋫)=≴∭⊉110535","reverse_text":"≴∭⊉110535=⇾⩊⇾(≴∭⊉11016⊓⋫)","cot":[{"info":"≴∭⊉11016⊓⋫=≴∭⊉-11261","layer":1},{"info":"⇾⩊⇾≴∭⊉-11261=≴∭⊉110535","layer":0}]}
+{"id":627,"expression_no_base_symbol":"→⩰(⊊≼∋$4277$)","expression":"→⩰(⊊≼∋≴∭⊉15320)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4928,"operation_count":2,"complexity_ratio":2464.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":4277,"base":7}}},"used_operators":["o8Pngz0Tml","FWz7pXsQhA"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4277","layer":2},{"info":"compute unary expreesion, input=4277, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"→⩰(⊊≼∋≴∭⊉15320)=NaN","reverse_text":"NaN=→⩰(⊊≼∋≴∭⊉15320)","cot":[{"info":"⊊≼∋≴∭⊉15320=≴∭⊉-1206","layer":1},{"info":"→⩰≴∭⊉-1206=NaN","layer":0}]}
+{"id":628,"expression_no_base_symbol":"($9012$≬⋮$1165$)⇌⫙⪟($4597$⊨$5857$)","expression":"(≴∭⊉35163≬⋮≴∭⊉3253)⇌⫙⪟(≴∭⊉16255⊨≴∭⊉23035)","highest_n_order":1,"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":9012,"base":7},"right_expr":{"type":"numeric_atoms","value":1165,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4597,"base":7},"right_expr":{"type":"numeric_atoms","value":5857,"base":7}}},"used_operators":["AFVx7xoS7T","kbkesczE7y","vg4gO5BX6G"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9012","layer":2},{"info":"number node, value=1165","layer":2},{"info":"compute binary expreesion, left_input=9012, right_input=1165, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4597","layer":2},{"info":"number node, value=5857","layer":2},{"info":"compute binary expreesion, left_input=4597, right_input=5857, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19419","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=19419, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉35163≬⋮≴∭⊉3253)⇌⫙⪟(≴∭⊉16255⊨≴∭⊉23035)=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉35163≬⋮≴∭⊉3253)⇌⫙⪟(≴∭⊉16255⊨≴∭⊉23035)","cot":[{"info":"≴∭⊉35163≬⋮≴∭⊉3253=≴∭⊉2350","layer":1},{"info":"≴∭⊉16255⊨≴∭⊉23035=≴∭⊉110421","layer":1},{"info":"≴∭⊉2350⇌⫙⪟≴∭⊉110421=≴∭⊉221","layer":0}]}
+{"id":629,"expression_no_base_symbol":"⋂$2664$⨽∌$1705$","expression":"⋂≴∭⊉10524⨽∌≴∭⊉4654","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":73,"operation_count":2,"complexity_ratio":36.5,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2664,"base":7},"right_expr":{"type":"numeric_atoms","value":1705,"base":7}}},"used_operators":["BUOGQAYlQx","9samAPKr6k"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≴∭⊉1511","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2664","layer":2},{"info":"number node, value=1705","layer":2},{"info":"compute binary expreesion, left_input=2664, right_input=1705, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=596","layer":0}],"base":7,"result_base":7,"text":"⋂≴∭⊉10524⨽∌≴∭⊉4654=≴∭⊉1511","reverse_text":"≴∭⊉1511=⋂≴∭⊉10524⨽∌≴∭⊉4654","cot":[{"info":"≴∭⊉10524⨽∌≴∭⊉4654=≴∭⊉0","layer":1},{"info":"⋂≴∭⊉0=≴∭⊉1511","layer":0}]}
+{"id":630,"expression_no_base_symbol":"($2433$∌↝$3916$)→⨶⪴(∤↝$6712$)","expression":"(≴∭⊉10044∌↝≴∭⊉14263)→⨶⪴(∤↝≴∭⊉25366)","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":2433,"base":7},"right_expr":{"type":"numeric_atoms","value":3916,"base":7}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":6712,"base":7}}},"used_operators":["bF6eod5Gvf","9Isq31Ruls","3UMq87Qwqg"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≴∭⊉-112464","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2433","layer":2},{"info":"number node, value=3916","layer":2},{"info":"compute binary expreesion, left_input=2433, right_input=3916, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=6712","layer":2},{"info":"compute unary expreesion, input=6712, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=6712","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6712, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20136","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10044∌↝≴∭⊉14263)→⨶⪴(∤↝≴∭⊉25366)=≴∭⊉-112464","reverse_text":"≴∭⊉-112464=(≴∭⊉10044∌↝≴∭⊉14263)→⨶⪴(∤↝≴∭⊉25366)","cot":[{"info":"≴∭⊉10044∌↝≴∭⊉14263=≴∭⊉0","layer":1},{"info":"∤↝≴∭⊉25366=≴∭⊉25366","layer":1},{"info":"≴∭⊉0→⨶⪴≴∭⊉25366=≴∭⊉-112464","layer":0}]}
+{"id":631,"expression_no_base_symbol":"$1629$↞⋁$2224$⫒⫫$1228$≴⪞⇿$3912$","expression":"≴∭⊉4515↞⋁≴∭⊉6325⫒⫫≴∭⊉3403≴⪞⇿≴∭⊉14256","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1185,"operation_count":3,"complexity_ratio":395.0,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1629,"base":7},"right_expr":{"type":"numeric_atoms","value":2224,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1228,"base":7},"right_expr":{"type":"numeric_atoms","value":3912,"base":7}}},"used_operators":["6Ko8hGgeMq","RqrPlJkxDo","lvlrscuwVU"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1629","layer":2},{"info":"number node, value=2224","layer":2},{"info":"compute binary expreesion, left_input=1629, right_input=2224, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1228","layer":2},{"info":"number node, value=3912","layer":2},{"info":"compute binary expreesion, left_input=1228, right_input=3912, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1824284","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1824284, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4515↞⋁≴∭⊉6325⫒⫫≴∭⊉3403≴⪞⇿≴∭⊉14256=NaN","reverse_text":"NaN=≴∭⊉4515↞⋁≴∭⊉6325⫒⫫≴∭⊉3403≴⪞⇿≴∭⊉14256","cot":[{"info":"≴∭⊉4515↞⋁≴∭⊉6325=NaN","layer":1},{"info":"≴∭⊉3403≴⪞⇿≴∭⊉14256=≴∭⊉21335420","layer":1},{"info":"NaN⫒⫫≴∭⊉21335420=NaN","layer":0}]}
+{"id":632,"expression_no_base_symbol":"$6250$⨫⇇↔$3291$∟","expression":"≴∭⊉24136⨫⇇↔≴∭⊉12411∟","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1634,"operation_count":2,"complexity_ratio":817.0,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6250,"base":7},"right_expr":{"type":"numeric_atoms","value":3291,"base":7}}},"used_operators":["hTbEZDJLEm","LXhwmt4mBO"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6250","layer":2},{"info":"number node, value=3291","layer":2},{"info":"compute binary expreesion, left_input=6250, right_input=3291, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24136⨫⇇↔≴∭⊉12411∟=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉24136⨫⇇↔≴∭⊉12411∟","cot":[{"info":"≴∭⊉24136⨫⇇↔≴∭⊉12411=≴∭⊉-1352","layer":1},{"info":"≴∭⊉-1352∟=≴∭⊉221","layer":0}]}
+{"id":633,"expression_no_base_symbol":"$3649$→⨶⪴$1657$⪭($3700$⫍⨯↯)","expression":"≴∭⊉13432→⨶⪴≴∭⊉4555⪭(≴∭⊉13534⫍⨯↯)","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":3649,"base":7},"right_expr":{"type":"numeric_atoms","value":1657,"base":7}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":3700,"base":7}}},"used_operators":["j9kHMeSvPp","bF6eod5Gvf","ZcwmYACASQ"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","8w2t5hMYqp","9FxExcQeMw","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"≴∭⊉16662","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3649","layer":2},{"info":"number node, value=1657","layer":2},{"info":"compute binary expreesion, left_input=3649, right_input=1657, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4971","layer":1},{"info":"number node, value=3700","layer":2},{"info":"compute unary expreesion, input=3700, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=3667","layer":1},{"info":"compute binary expreesion, left_input=-4971, right_input=3667, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=4797","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13432→⨶⪴≴∭⊉4555⪭(≴∭⊉13534⫍⨯↯)=≴∭⊉16662","reverse_text":"≴∭⊉16662=≴∭⊉13432→⨶⪴≴∭⊉4555⪭(≴∭⊉13534⫍⨯↯)","cot":[{"info":"≴∭⊉13432→⨶⪴≴∭⊉4555=≴∭⊉-20331","layer":1},{"info":"≴∭⊉13534⫍⨯↯=≴∭⊉13456","layer":1},{"info":"≴∭⊉-20331⪭≴∭⊉13456=≴∭⊉16662","layer":0}]}
+{"id":634,"expression_no_base_symbol":"⩒∊($1310$∼$1210$)","expression":"⩒∊(≴∭⊉3551∼≴∭⊉3346)","highest_n_order":4,"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":1310,"base":7},"right_expr":{"type":"numeric_atoms","value":1210,"base":7}}},"used_operators":["qazvmhNBbN","DyGG3AbaNP"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1310","layer":2},{"info":"number node, value=1210","layer":2},{"info":"compute binary expreesion, left_input=1310, right_input=1210, 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 = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩒∊(≴∭⊉3551∼≴∭⊉3346)=NaN","reverse_text":"NaN=⩒∊(≴∭⊉3551∼≴∭⊉3346)","cot":[{"info":"≴∭⊉3551∼≴∭⊉3346=NaN","layer":1},{"info":"⩒∊NaN=NaN","layer":0}]}
+{"id":635,"expression_no_base_symbol":"($1360$⊢$3480$)⪃⊛⇣(⋗⩬⋾$1499$)","expression":"(≴∭⊉3652⊢≴∭⊉13101)⪃⊛⇣(⋗⩬⋾≴∭⊉4241)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":599,"operation_count":3,"complexity_ratio":199.66666666666666,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1360,"base":7},"right_expr":{"type":"numeric_atoms","value":3480,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1499,"base":7}}},"used_operators":["rrgAzCduG9","5twsqlHp2o","DpFCA1CohY"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":2},{"info":"number node, value=3480","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=3480, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2964","layer":1},{"info":"number node, value=1499","layer":2},{"info":"compute unary expreesion, input=1499, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4497","layer":1},{"info":"compute binary expreesion, left_input=-2964, right_input=-4497, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3652⊢≴∭⊉13101)⪃⊛⇣(⋗⩬⋾≴∭⊉4241)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉3652⊢≴∭⊉13101)⪃⊛⇣(⋗⩬⋾≴∭⊉4241)","cot":[{"info":"≴∭⊉3652⊢≴∭⊉13101=≴∭⊉-11433","layer":1},{"info":"⋗⩬⋾≴∭⊉4241=≴∭⊉-16053","layer":1},{"info":"≴∭⊉-11433⪃⊛⇣≴∭⊉-16053=≴∭⊉3412","layer":0}]}
+{"id":636,"expression_no_base_symbol":"⇐(⇈$5562$)","expression":"⇐(⇈≴∭⊉22134)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1060,"operation_count":2,"complexity_ratio":530.0,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5562,"base":7}}},"used_operators":["nmZMaaE0Q9","SLLxy00UIr"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"≴∭⊉-3652","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5562","layer":2},{"info":"compute unary expreesion, input=5562, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1360","layer":0}],"base":7,"result_base":7,"text":"⇐(⇈≴∭⊉22134)=≴∭⊉-3652","reverse_text":"≴∭⊉-3652=⇐(⇈≴∭⊉22134)","cot":[{"info":"⇈≴∭⊉22134=≴∭⊉-1206","layer":1},{"info":"⇐≴∭⊉-1206=≴∭⊉-3652","layer":0}]}
+{"id":637,"expression_no_base_symbol":"$1831$⪛$1322$≬⋮$2167$⇴∐$1883$","expression":"≴∭⊉5224⪛≴∭⊉3566≬⋮≴∭⊉6214⇴∐≴∭⊉5330","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1831,"base":7},"right_expr":{"type":"numeric_atoms","value":1322,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2167,"base":7},"right_expr":{"type":"numeric_atoms","value":1883,"base":7}}},"used_operators":["kbkesczE7y","uFcxV4UQCh","HnzytWxmAO"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1831","layer":2},{"info":"number node, value=1322","layer":2},{"info":"compute binary expreesion, left_input=1831, right_input=1322, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=509","layer":1},{"info":"number node, value=2167","layer":2},{"info":"number node, value=1883","layer":2},{"info":"compute binary expreesion, left_input=2167, right_input=1883, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=509, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5224⪛≴∭⊉3566≬⋮≴∭⊉6214⇴∐≴∭⊉5330=NaN","reverse_text":"NaN=≴∭⊉5224⪛≴∭⊉3566≬⋮≴∭⊉6214⇴∐≴∭⊉5330","cot":[{"info":"≴∭⊉5224⪛≴∭⊉3566=≴∭⊉1325","layer":1},{"info":"≴∭⊉6214⇴∐≴∭⊉5330=NaN","layer":1},{"info":"≴∭⊉1325≬⋮NaN=NaN","layer":0}]}
+{"id":638,"expression_no_base_symbol":"⩩($4453$⊴⇁⪶)","expression":"⩩(≴∭⊉15661⊴⇁⪶)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":95832,"operation_count":2,"complexity_ratio":47916.0,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":4453,"base":7}}},"used_operators":["kMhfGuqI2H","oo9mF6JIpo"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4453","layer":2},{"info":"compute unary expreesion, input=4453, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=90288","layer":1},{"info":"compute unary expreesion, input=90288, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩩(≴∭⊉15661⊴⇁⪶)=NaN","reverse_text":"NaN=⩩(≴∭⊉15661⊴⇁⪶)","cot":[{"info":"≴∭⊉15661⊴⇁⪶=≴∭⊉524142","layer":1},{"info":"⩩≴∭⊉524142=NaN","layer":0}]}
+{"id":639,"expression_no_base_symbol":"($4914$⪡$4124$)⪥($1126$⪛⫼$2066$)","expression":"(≴∭⊉20220⪡≴∭⊉15011)⪥(≴∭⊉3166⪛⫼≴∭⊉6011)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":139,"operation_count":3,"complexity_ratio":46.333333333333336,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4914,"base":7},"right_expr":{"type":"numeric_atoms","value":4124,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1126,"base":7},"right_expr":{"type":"numeric_atoms","value":2066,"base":7}}},"used_operators":["QbnwKVWMIQ","oraRL2iQuh","hyuBjUqXlG"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"≴∭⊉20545","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4914","layer":2},{"info":"number node, value=4124","layer":2},{"info":"compute binary expreesion, left_input=4914, right_input=4124, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=1126","layer":2},{"info":"number node, value=2066","layer":2},{"info":"compute binary expreesion, left_input=1126, right_input=2066, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=968, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=5080","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20220⪡≴∭⊉15011)⪥(≴∭⊉3166⪛⫼≴∭⊉6011)=≴∭⊉20545","reverse_text":"≴∭⊉20545=(≴∭⊉20220⪡≴∭⊉15011)⪥(≴∭⊉3166⪛⫼≴∭⊉6011)","cot":[{"info":"≴∭⊉20220⪡≴∭⊉15011=≴∭⊉212","layer":1},{"info":"≴∭⊉3166⪛⫼≴∭⊉6011=≴∭⊉2552","layer":1},{"info":"≴∭⊉212⪥≴∭⊉2552=≴∭⊉20545","layer":0}]}
+{"id":640,"expression_no_base_symbol":"↣≠⋷($1845$⪔$4256$)","expression":"↣≠⋷(≴∭⊉5244⪔≴∭⊉15260)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":206854,"operation_count":2,"complexity_ratio":103427.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1845,"base":7},"right_expr":{"type":"numeric_atoms","value":4256,"base":7}}},"used_operators":["Asc51vEJeQ","GjBEYRfMaF"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1845","layer":2},{"info":"number node, value=4256","layer":2},{"info":"compute binary expreesion, left_input=1845, right_input=4256, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute unary expreesion, input=450, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷(≴∭⊉5244⪔≴∭⊉15260)=NaN","reverse_text":"NaN=↣≠⋷(≴∭⊉5244⪔≴∭⊉15260)","cot":[{"info":"≴∭⊉5244⪔≴∭⊉15260=≴∭⊉1212","layer":1},{"info":"↣≠⋷≴∭⊉1212=NaN","layer":0}]}
+{"id":641,"expression_no_base_symbol":"($3417$⋭≵$2892$)≁↽≥(⋎⨆$2626$)","expression":"(≴∭⊉12651⋭≵≴∭⊉11301)≁↽≥(⋎⨆≴∭⊉10441)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":111,"operation_count":3,"complexity_ratio":37.0,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3417,"base":7},"right_expr":{"type":"numeric_atoms","value":2892,"base":7}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2626,"base":7}}},"used_operators":["ncHt1X6cMc","jBncVCNhdl","E64sFOc4tB"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3417","layer":2},{"info":"number node, value=2892","layer":2},{"info":"compute binary expreesion, left_input=3417, right_input=2892, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=2626","layer":2},{"info":"compute unary expreesion, input=2626, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12651⋭≵≴∭⊉11301)≁↽≥(⋎⨆≴∭⊉10441)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉12651⋭≵≴∭⊉11301)≁↽≥(⋎⨆≴∭⊉10441)","cot":[{"info":"≴∭⊉12651⋭≵≴∭⊉11301=≴∭⊉124","layer":1},{"info":"⋎⨆≴∭⊉10441=≴∭⊉0","layer":1},{"info":"≴∭⊉124≁↽≥≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":642,"expression_no_base_symbol":"($6865$⪉⨛$5391$)⪡$1098$⊕∕$2760$","expression":"(≴∭⊉26005⪉⨛≴∭⊉21501)⪡≴∭⊉3126⊕∕≴∭⊉11022","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6865,"base":7},"right_expr":{"type":"numeric_atoms","value":5391,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1098,"base":7},"right_expr":{"type":"numeric_atoms","value":2760,"base":7}}},"used_operators":["oraRL2iQuh","EWw2JM7wp4","9cloC0Ngie"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉212","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6865","layer":2},{"info":"number node, value=5391","layer":2},{"info":"compute binary expreesion, left_input=6865, right_input=5391, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=15419","layer":1},{"info":"number node, value=1098","layer":2},{"info":"number node, value=2760","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=2760, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1098","layer":1},{"info":"compute binary expreesion, left_input=15419, right_input=1098, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26005⪉⨛≴∭⊉21501)⪡≴∭⊉3126⊕∕≴∭⊉11022=≴∭⊉212","reverse_text":"≴∭⊉212=(≴∭⊉26005⪉⨛≴∭⊉21501)⪡≴∭⊉3126⊕∕≴∭⊉11022","cot":[{"info":"≴∭⊉26005⪉⨛≴∭⊉21501=≴∭⊉62645","layer":1},{"info":"≴∭⊉3126⊕∕≴∭⊉11022=≴∭⊉3126","layer":1},{"info":"≴∭⊉62645⪡≴∭⊉3126=≴∭⊉212","layer":0}]}
+{"id":643,"expression_no_base_symbol":"$5487$⊢$2113$∠⫱($1464$∙∹∝$3419$)","expression":"≴∭⊉21666⊢≴∭⊉6106∠⫱(≴∭⊉4161∙∹∝≴∭⊉12653)","highest_n_order":1,"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":5487,"base":7},"right_expr":{"type":"numeric_atoms","value":2113,"base":7}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1464,"base":7},"right_expr":{"type":"numeric_atoms","value":3419,"base":7}}},"used_operators":["QvoQhV0rrE","5twsqlHp2o","HmxsFra2vL"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"≴∭⊉-44464","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5487","layer":2},{"info":"number node, value=2113","layer":2},{"info":"compute binary expreesion, left_input=5487, right_input=2113, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-11218","layer":1},{"info":"number node, value=1464","layer":2},{"info":"number node, value=3419","layer":2},{"info":"compute binary expreesion, left_input=1464, right_input=3419, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-11218, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-11218","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21666⊢≴∭⊉6106∠⫱(≴∭⊉4161∙∹∝≴∭⊉12653)=≴∭⊉-44464","reverse_text":"≴∭⊉-44464=≴∭⊉21666⊢≴∭⊉6106∠⫱(≴∭⊉4161∙∹∝≴∭⊉12653)","cot":[{"info":"≴∭⊉21666⊢≴∭⊉6106=≴∭⊉-44464","layer":1},{"info":"≴∭⊉4161∙∹∝≴∭⊉12653=≴∭⊉0","layer":1},{"info":"≴∭⊉-44464∠⫱≴∭⊉0=≴∭⊉-44464","layer":0}]}
+{"id":644,"expression_no_base_symbol":"(⨂⪏⇭$2723$)↙(+⊝⨔$2038$)","expression":"(⨂⪏⇭≴∭⊉10640)↙(+⊝⨔≴∭⊉5641)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1581,"operation_count":3,"complexity_ratio":527.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2723,"base":7}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2038,"base":7}}},"used_operators":["yyfyN0ffXY","AYdpE9sXAk","DhbWaqg5eL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≴∭⊉-16212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2723","layer":2},{"info":"compute unary expreesion, input=2723, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7190","layer":1},{"info":"number node, value=2038","layer":2},{"info":"compute unary expreesion, input=2038, 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=7190, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4566","layer":0}],"base":7,"result_base":7,"text":"(⨂⪏⇭≴∭⊉10640)↙(+⊝⨔≴∭⊉5641)=≴∭⊉-16212","reverse_text":"≴∭⊉-16212=(⨂⪏⇭≴∭⊉10640)↙(+⊝⨔≴∭⊉5641)","cot":[{"info":"⨂⪏⇭≴∭⊉10640=≴∭⊉26651","layer":1},{"info":"+⊝⨔≴∭⊉5641=≴∭⊉4303","layer":1},{"info":"≴∭⊉26651↙≴∭⊉4303=≴∭⊉-16212","layer":0}]}
+{"id":645,"expression_no_base_symbol":"⊢≑≆(⇘$2523$)","expression":"⊢≑≆(⇘≴∭⊉10233)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5103,"operation_count":2,"complexity_ratio":2551.5,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2523,"base":7}}},"used_operators":["27wFxooxGf","MGuIdZPyUC"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"≴∭⊉4650111","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2523","layer":2},{"info":"compute unary expreesion, input=2523, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=145762","layer":1},{"info":"compute unary expreesion, input=145762, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=583500","layer":0}],"base":7,"result_base":7,"text":"⊢≑≆(⇘≴∭⊉10233)=≴∭⊉4650111","reverse_text":"≴∭⊉4650111=⊢≑≆(⇘≴∭⊉10233)","cot":[{"info":"⇘≴∭⊉10233=≴∭⊉1144651","layer":1},{"info":"⊢≑≆≴∭⊉1144651=≴∭⊉4650111","layer":0}]}
+{"id":646,"expression_no_base_symbol":"∂(≛$7809$)","expression":"∂(≛≴∭⊉31524)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":440,"operation_count":2,"complexity_ratio":220.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":7809,"base":7}}},"used_operators":["Uaa54Peajs","W7eaUhjymW"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"≴∭⊉-512","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7809","layer":2},{"info":"compute unary expreesion, input=7809, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"compute unary expreesion, input=-10, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-254","layer":0}],"base":7,"result_base":7,"text":"∂(≛≴∭⊉31524)=≴∭⊉-512","reverse_text":"≴∭⊉-512=∂(≛≴∭⊉31524)","cot":[{"info":"≛≴∭⊉31524=≴∭⊉-13","layer":1},{"info":"∂≴∭⊉-13=≴∭⊉-512","layer":0}]}
+{"id":647,"expression_no_base_symbol":"($3846$↺$2997$)≄⊠($2787$⨘⋶⪀)","expression":"(≴∭⊉14133↺≴∭⊉11511)≄⊠(≴∭⊉11061⨘⋶⪀)","highest_n_order":5,"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":3846,"base":7},"right_expr":{"type":"numeric_atoms","value":2997,"base":7}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":2787,"base":7}}},"used_operators":["vXNesLlMH1","7j4O788W3g","XVKwrhznBb"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3846","layer":2},{"info":"number node, value=2997","layer":2},{"info":"compute binary expreesion, left_input=3846, right_input=2997, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2997","layer":1},{"info":"number node, value=2787","layer":2},{"info":"compute unary expreesion, input=2787, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶�� = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2997, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14133↺≴∭⊉11511)≄⊠(≴∭⊉11061⨘⋶⪀)=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉14133↺≴∭⊉11511)≄⊠(≴∭⊉11061⨘⋶⪀)","cot":[{"info":"≴∭⊉14133↺≴∭⊉11511=≴∭⊉11511","layer":1},{"info":"≴∭⊉11061⨘⋶⪀=NaN","layer":1},{"info":"≴∭⊉11511≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":648,"expression_no_base_symbol":"$1423$⪟⇏$4960$≦↸($1850$↼⊘⨖$5892$)","expression":"≴∭⊉4102⪟⇏≴∭⊉20314≦↸(≴∭⊉5252↼⊘⨖≴∭⊉23115)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1423,"base":7},"right_expr":{"type":"numeric_atoms","value":4960,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1850,"base":7},"right_expr":{"type":"numeric_atoms","value":5892,"base":7}}},"used_operators":["RygbFNSyEJ","GODebY97qR","bPywburJMS"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≴∭⊉-122266","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1423","layer":2},{"info":"number node, value=4960","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=4960, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1850","layer":2},{"info":"number node, value=5892","layer":2},{"info":"compute binary expreesion, left_input=1850, right_input=5892, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=11562","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=11562, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-22441","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4102⪟⇏≴∭⊉20314≦↸(≴∭⊉5252↼⊘⨖≴∭⊉23115)=≴∭⊉-122266","reverse_text":"≴∭⊉-122266=≴∭⊉4102⪟⇏≴∭⊉20314≦↸(≴∭⊉5252↼⊘⨖≴∭⊉23115)","cot":[{"info":"≴∭⊉4102⪟⇏≴∭⊉20314=≴∭⊉-1","layer":1},{"info":"≴∭⊉5252↼⊘⨖≴∭⊉23115=≴∭⊉45465","layer":1},{"info":"≴∭⊉-1≦↸≴∭⊉45465=≴∭⊉-122266","layer":0}]}
+{"id":649,"expression_no_base_symbol":"$2048$⪮%⊝$1608$∪⫐$4984$⨔≚≋$8313$","expression":"≴∭⊉5654⪮%⊝≴∭⊉4455∪⫐≴∭⊉20350⨔≚≋≴∭⊉33144","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2048,"base":7},"right_expr":{"type":"numeric_atoms","value":1608,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4984,"base":7},"right_expr":{"type":"numeric_atoms","value":8313,"base":7}}},"used_operators":["7YooWSwCyH","IWmyXbctLI","Z57zeUYC9z"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉15602","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2048","layer":2},{"info":"number node, value=1608","layer":2},{"info":"compute binary expreesion, left_input=2048, right_input=1608, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4412","layer":1},{"info":"number node, value=4984","layer":2},{"info":"number node, value=8313","layer":2},{"info":"compute binary expreesion, left_input=4984, right_input=8313, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=4412, right_input=9872, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4412","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5654⪮%⊝≴∭⊉4455∪⫐≴∭⊉20350⨔≚≋≴∭⊉33144=≴∭⊉15602","reverse_text":"≴∭⊉15602=≴∭⊉5654⪮%⊝≴∭⊉4455∪⫐≴∭⊉20350⨔≚≋≴∭⊉33144","cot":[{"info":"≴∭⊉5654⪮%⊝≴∭⊉4455=≴∭⊉15602","layer":1},{"info":"≴∭⊉20350⨔≚≋≴∭⊉33144=≴∭⊉40532","layer":1},{"info":"≴∭⊉15602∪⫐≴∭⊉40532=≴∭⊉15602","layer":0}]}
+{"id":650,"expression_no_base_symbol":"($1779$⪕$1360$)⩦($4064$⇄$2479$)","expression":"(≴∭⊉5121⪕≴∭⊉3652)⩦(≴∭⊉14564⇄≴∭⊉10141)","highest_n_order":1,"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":1779,"base":7},"right_expr":{"type":"numeric_atoms","value":1360,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4064,"base":7},"right_expr":{"type":"numeric_atoms","value":2479,"base":7}}},"used_operators":["0kmYd0q39Y","umQnsF7QlU","3EYGwJThht"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≴∭⊉24033","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":2},{"info":"number node, value=1360","layer":2},{"info":"compute binary expreesion, left_input=1779, right_input=1360, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3099","layer":1},{"info":"number node, value=4064","layer":2},{"info":"number node, value=2479","layer":2},{"info":"compute binary expreesion, left_input=4064, right_input=2479, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3099, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6198","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5121⪕≴∭⊉3652)⩦(≴∭⊉14564⇄≴∭⊉10141)=≴∭⊉24033","reverse_text":"≴∭⊉24033=(≴∭⊉5121⪕≴∭⊉3652)⩦(≴∭⊉14564⇄≴∭⊉10141)","cot":[{"info":"≴∭⊉5121⪕≴∭⊉3652=≴∭⊉12015","layer":1},{"info":"≴∭⊉14564⇄≴∭⊉10141=≴∭⊉0","layer":1},{"info":"≴∭⊉12015⩦≴∭⊉0=≴∭⊉24033","layer":0}]}
+{"id":651,"expression_no_base_symbol":"(⫯$3882$)⊴($3563$↙$1063$)","expression":"(⫯≴∭⊉14214)⊴(≴∭⊉13250↙≴∭⊉3046)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16121,"operation_count":3,"complexity_ratio":5373.666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3882,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3563,"base":7},"right_expr":{"type":"numeric_atoms","value":1063,"base":7}}},"used_operators":["Nsiff2A1zJ","H6BK1Evt7c","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3882","layer":2},{"info":"compute unary expreesion, input=3882, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-148256","layer":1},{"info":"number node, value=3563","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=3563, right_input=1063, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3189","layer":1},{"info":"compute binary expreesion, left_input=-148256, right_input=-3189, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⫯≴∭⊉14214)⊴(≴∭⊉13250↙≴∭⊉3046)=NaN","reverse_text":"NaN=(⫯≴∭⊉14214)⊴(≴∭⊉13250↙≴∭⊉3046)","cot":[{"info":"⫯≴∭⊉14214=≴∭⊉-1155143","layer":1},{"info":"≴∭⊉13250↙≴∭⊉3046=≴∭⊉-12204","layer":1},{"info":"≴∭⊉-1155143⊴≴∭⊉-12204=NaN","layer":0}]}
+{"id":652,"expression_no_base_symbol":"($5090$⊾⪯⋞$3452$)⇡","expression":"(≴∭⊉20561⊾⪯⋞≴∭⊉13031)⇡","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":129,"operation_count":2,"complexity_ratio":64.5,"tree":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5090,"base":7},"right_expr":{"type":"numeric_atoms","value":3452,"base":7}}},"used_operators":["UqFzSgLMvQ","HK0tfVPux8"],"dependent_operators":["3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-11335","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5090","layer":2},{"info":"number node, value=3452","layer":2},{"info":"compute binary expreesion, left_input=5090, right_input=3452, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6478","layer":1},{"info":"compute unary expreesion, input=6478, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20561⊾⪯⋞≴∭⊉13031)⇡=≴∭⊉-11335","reverse_text":"≴∭⊉-11335=(≴∭⊉20561⊾⪯⋞≴∭⊉13031)⇡","cot":[{"info":"≴∭⊉20561⊾⪯⋞≴∭⊉13031=≴∭⊉24613","layer":1},{"info":"≴∭⊉24613⇡=≴∭⊉-11335","layer":0}]}
+{"id":653,"expression_no_base_symbol":"$2680$∳⫺$4196$↼⊘⨖($2425$⫸⊐$5922$)","expression":"≴∭⊉10546∳⫺≴∭⊉15143↼⊘⨖(≴∭⊉10033⫸⊐≴∭⊉23160)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87,"operation_count":3,"complexity_ratio":29.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2680,"base":7},"right_expr":{"type":"numeric_atoms","value":4196,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2425,"base":7},"right_expr":{"type":"numeric_atoms","value":5922,"base":7}}},"used_operators":["bPywburJMS","AzXXKTstlj","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉253514","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2680","layer":2},{"info":"number node, value=4196","layer":2},{"info":"compute binary expreesion, left_input=2680, right_input=4196, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=2425","layer":2},{"info":"number node, value=5922","layer":2},{"info":"compute binary expreesion, left_input=2425, right_input=5922, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23563","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=23563, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=46904","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10546∳⫺≴∭⊉15143↼⊘⨖(≴∭⊉10033⫸⊐≴∭⊉23160)=≴∭⊉253514","reverse_text":"≴∭⊉253514=≴∭⊉10546∳⫺≴∭⊉15143↼⊘⨖(≴∭⊉10033⫸⊐≴∭⊉23160)","cot":[{"info":"≴∭⊉10546∳⫺≴∭⊉15143=≴∭⊉-521","layer":1},{"info":"≴∭⊉10033⫸⊐≴∭⊉23160=≴∭⊉125461","layer":1},{"info":"≴∭⊉-521↼⊘⨖≴∭⊉125461=≴∭⊉253514","layer":0}]}
+{"id":654,"expression_no_base_symbol":"$1038$⨭⪣$4028$⪉⨛($1214$⫔⩽⩺$4250$)","expression":"≴∭⊉3012⨭⪣≴∭⊉14513⪉⨛(≴∭⊉3353⫔⩽⩺≴∭⊉15251)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1038,"base":7},"right_expr":{"type":"numeric_atoms","value":4028,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1214,"base":7},"right_expr":{"type":"numeric_atoms","value":4250,"base":7}}},"used_operators":["EWw2JM7wp4","kn8WO9XteQ","i9eR4S00cU"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1038","layer":2},{"info":"number node, value=4028","layer":2},{"info":"compute binary expreesion, left_input=1038, right_input=4028, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-241","layer":1},{"info":"number node, value=1214","layer":2},{"info":"number node, value=4250","layer":2},{"info":"compute binary expreesion, left_input=1214, right_input=4250, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-241, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3012⨭⪣≴∭⊉14513⪉⨛(≴∭⊉3353⫔⩽⩺≴∭⊉15251)=NaN","reverse_text":"NaN=≴∭⊉3012⨭⪣≴∭⊉14513⪉⨛(≴∭⊉3353⫔⩽⩺≴∭⊉15251)","cot":[{"info":"≴∭⊉3012⨭⪣≴∭⊉14513=≴∭⊉-463","layer":1},{"info":"≴∭⊉3353⫔⩽⩺≴∭⊉15251=NaN","layer":1},{"info":"≴∭⊉-463⪉⨛NaN=NaN","layer":0}]}
+{"id":655,"expression_no_base_symbol":"($1804$↓$3067$)⊍","expression":"(≴∭⊉5155↓≴∭⊉11641)⊍","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43252,"operation_count":2,"complexity_ratio":21626.0,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1804,"base":7},"right_expr":{"type":"numeric_atoms","value":3067,"base":7}}},"used_operators":["3nqY3DE9mg","Af076pWI7l"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-20160","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":2},{"info":"number node, value=3067","layer":2},{"info":"compute binary expreesion, left_input=1804, right_input=3067, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4893","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5155↓≴∭⊉11641)⊍=≴∭⊉-20160","reverse_text":"≴∭⊉-20160=(≴∭⊉5155↓≴∭⊉11641)⊍","cot":[{"info":"≴∭⊉5155↓≴∭⊉11641=≴∭⊉-251","layer":1},{"info":"≴∭⊉-251⊍=≴∭⊉-20160","layer":0}]}
+{"id":656,"expression_no_base_symbol":"⨈⪑($1525$⪕$1246$)","expression":"⨈⪑(≴∭⊉4306⪕≴∭⊉3430)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":91,"operation_count":2,"complexity_ratio":45.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1525,"base":7},"right_expr":{"type":"numeric_atoms","value":1246,"base":7}}},"used_operators":["mp94q5OcYM","umQnsF7QlU"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1525","layer":2},{"info":"number node, value=1246","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=1246, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2705","layer":1},{"info":"compute unary expreesion, input=2705, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"⨈⪑(≴∭⊉4306⪕≴∭⊉3430)=≴∭⊉2350","reverse_text":"≴∭⊉2350=⨈⪑(≴∭⊉4306⪕≴∭⊉3430)","cot":[{"info":"≴∭⊉4306⪕≴∭⊉3430=≴∭⊉10613","layer":1},{"info":"⨈⪑≴∭⊉10613=≴∭⊉2350","layer":0}]}
+{"id":657,"expression_no_base_symbol":"$4597$⫁$1010$∌($2249$⨝⩣∺)","expression":"≴∭⊉16255⫁≴∭⊉2642∌(≴∭⊉6362⨝⩣∺)","highest_n_order":4,"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":4597,"base":7},"right_expr":{"type":"numeric_atoms","value":1010,"base":7}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2249,"base":7}}},"used_operators":["8cLx32lpNA","0ajvFaJAv0","ancx8kZcWl"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","DZ8iAZOCBD","t8gj7n24qd"],"result":"≴∭⊉16054","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4597","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=4597, right_input=1010, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2249","layer":2},{"info":"compute unary expreesion, input=2249, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-4498","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-4498, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=4498","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16255⫁≴∭⊉2642∌(≴∭⊉6362⨝⩣∺)=≴∭⊉16054","reverse_text":"≴∭⊉16054=≴∭⊉16255⫁≴∭⊉2642∌(≴∭⊉6362⨝⩣∺)","cot":[{"info":"≴∭⊉16255⫁≴∭⊉2642=≴∭⊉316","layer":1},{"info":"≴∭⊉6362⨝⩣∺=≴∭⊉-16054","layer":1},{"info":"≴∭⊉316∌≴∭⊉-16054=≴∭⊉16054","layer":0}]}
+{"id":658,"expression_no_base_symbol":"($9212$⪊≅)≦↸(⇁⨣⪵$2346$)","expression":"(≴∭⊉35600⪊≅)≦↸(⇁⨣⪵≴∭⊉6561)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":9212,"base":7}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2346,"base":7}}},"used_operators":["RygbFNSyEJ","bjFbhXSADs","inkyxCbjAn"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=9212","layer":2},{"info":"compute unary expreesion, input=9212, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":1},{"info":"number node, value=2346","layer":2},{"info":"compute unary expreesion, input=2346, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉35600⪊≅)≦↸(⇁⨣⪵≴∭⊉6561)=NaN","reverse_text":"NaN=(≴∭⊉35600⪊≅)≦↸(⇁⨣⪵≴∭⊉6561)","cot":[{"info":"≴∭⊉35600⪊≅=≴∭⊉0","layer":1},{"info":"⇁⨣⪵≴∭⊉6561=NaN","layer":1},{"info":"≴∭⊉0≦↸NaN=NaN","layer":0}]}
+{"id":659,"expression_no_base_symbol":"($7109$⇞)∌↝($2979$⊬⫿⊭)","expression":"(≴∭⊉26504⇞)∌↝(≴∭⊉11454⊬⫿⊭)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":7109,"base":7}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2979,"base":7}}},"used_operators":["9Isq31Ruls","5JYyxRJd4f","v0DYgG9ikt"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉324205","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7109","layer":2},{"info":"compute unary expreesion, input=7109, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=28349","layer":1},{"info":"number node, value=2979","layer":2},{"info":"compute unary expreesion, input=2979, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-8937","layer":1},{"info":"compute binary expreesion, left_input=28349, right_input=-8937, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=56698","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26504⇞)∌↝(≴∭⊉11454⊬⫿⊭)=≴∭⊉324205","reverse_text":"≴∭⊉324205=(≴∭⊉26504⇞)∌↝(≴∭⊉11454⊬⫿⊭)","cot":[{"info":"≴∭⊉26504⇞=≴∭⊉145436","layer":1},{"info":"≴∭⊉11454⊬⫿⊭=≴∭⊉-35025","layer":1},{"info":"≴∭⊉145436∌↝≴∭⊉-35025=≴∭⊉324205","layer":0}]}
+{"id":660,"expression_no_base_symbol":"$6855$⋾⨃∁$1067$∠↢$1709$∠↢$1174$","expression":"≴∭⊉25662⋾⨃∁≴∭⊉3053∠↢≴∭⊉4661∠↢≴∭⊉3265","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1122,"operation_count":3,"complexity_ratio":374.0,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":6855,"base":7},"right_expr":{"type":"numeric_atoms","value":1067,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1709,"base":7},"right_expr":{"type":"numeric_atoms","value":1174,"base":7}}},"used_operators":["KbjG8mgYpV","212REbPD9h"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉-1055664054","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6855","layer":2},{"info":"number node, value=1067","layer":2},{"info":"compute binary expreesion, left_input=6855, right_input=1067, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11371992","layer":1},{"info":"number node, value=1709","layer":2},{"info":"number node, value=1174","layer":2},{"info":"compute binary expreesion, left_input=1709, right_input=1174, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-22190","layer":1},{"info":"compute binary expreesion, left_input=11371992, right_input=-22190, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-45176226","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉25662⋾⨃∁≴∭⊉3053∠↢≴∭⊉4661∠↢≴∭⊉3265=≴∭⊉-1055664054","reverse_text":"≴∭⊉-1055664054=≴∭⊉25662⋾⨃∁≴∭⊉3053∠↢≴∭⊉4661∠↢≴∭⊉3265","cot":[{"info":"≴∭⊉25662⋾⨃∁≴∭⊉3053=≴∭⊉165442332","layer":1},{"info":"≴∭⊉4661∠↢≴∭⊉3265=≴∭⊉-121460","layer":1},{"info":"≴∭⊉165442332∠↢≴∭⊉-121460=≴∭⊉-1055664054","layer":0}]}
+{"id":661,"expression_no_base_symbol":"$1355$⪘⫢$1751$⋫","expression":"≴∭⊉3644⪘⫢≴∭⊉5051⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2601,"operation_count":2,"complexity_ratio":1300.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1355,"base":7},"right_expr":{"type":"numeric_atoms","value":1751,"base":7}}},"used_operators":["JL8yIekQnl","oacrs7FA3X"],"dependent_operators":["tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≴∭⊉10353","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":2},{"info":"number node, value=1751","layer":2},{"info":"compute binary expreesion, left_input=1355, right_input=1751, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2586","layer":1},{"info":"compute unary expreesion, input=2586, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2586","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3644⪘⫢≴∭⊉5051⋫=≴∭⊉10353","reverse_text":"≴∭⊉10353=≴∭⊉3644⪘⫢≴∭⊉5051⋫","cot":[{"info":"≴∭⊉3644⪘⫢≴∭⊉5051=≴∭⊉10353","layer":1},{"info":"≴∭⊉10353⋫=≴∭⊉10353","layer":0}]}
+{"id":662,"expression_no_base_symbol":"($1083$⨒$2794$)⪎↠($3131$∣$1652$)","expression":"(≴∭⊉3105⨒≴∭⊉11101)⪎↠(≴∭⊉12062∣≴∭⊉4550)","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":1083,"base":7},"right_expr":{"type":"numeric_atoms","value":2794,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3131,"base":7},"right_expr":{"type":"numeric_atoms","value":1652,"base":7}}},"used_operators":["3tVxb0NHM4","y75s1iXyHd","PPChnnnBFF"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=2794","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=2794, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-6126","layer":1},{"info":"number node, value=3131","layer":2},{"info":"number node, value=1652","layer":2},{"info":"compute binary expreesion, left_input=3131, right_input=1652, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3131","layer":1},{"info":"compute binary expreesion, left_input=-6126, right_input=3131, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3105⨒≴∭⊉11101)⪎↠(≴∭⊉12062∣≴∭⊉4550)=≴∭⊉-106","reverse_text":"≴∭⊉-106=(≴∭⊉3105⨒≴∭⊉11101)⪎↠(≴∭⊉12062∣≴∭⊉4550)","cot":[{"info":"≴∭⊉3105⨒≴∭⊉11101=≴∭⊉-23601","layer":1},{"info":"≴∭⊉12062∣≴∭⊉4550=≴∭⊉12062","layer":1},{"info":"≴∭⊉-23601⪎↠≴∭⊉12062=≴∭⊉-106","layer":0}]}
+{"id":663,"expression_no_base_symbol":"($1403$⨑≵⋬$7555$)⩅⪻⪻","expression":"(≴∭⊉4043⨑≵⋬≴∭⊉31012)⩅⪻⪻","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44631,"operation_count":2,"complexity_ratio":22315.5,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1403,"base":7},"right_expr":{"type":"numeric_atoms","value":7555,"base":7}}},"used_operators":["kHoXpA7yos","XnXgA4xnOs"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1403","layer":2},{"info":"number node, value=7555","layer":2},{"info":"compute binary expreesion, left_input=1403, right_input=7555, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-44491","layer":1},{"info":"compute unary expreesion, input=-44491, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4043⨑≵⋬≴∭⊉31012)⩅⪻⪻=≴∭⊉14413","reverse_text":"≴∭⊉14413=(≴∭⊉4043⨑≵⋬≴∭⊉31012)⩅⪻⪻","cot":[{"info":"≴∭⊉4043⨑≵⋬≴∭⊉31012=≴∭⊉-243466","layer":1},{"info":"≴∭⊉-243466⩅⪻⪻=≴∭⊉14413","layer":0}]}
+{"id":664,"expression_no_base_symbol":"⇉-⫰($6664$⋆⋳)","expression":"⇉-⫰(≴∭⊉25300⋆⋳)","highest_n_order":1,"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":6664,"base":7}}},"used_operators":["IGFM8TAlm9","6MpZysEj17"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6664","layer":2},{"info":"compute unary expreesion, input=6664, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-13360","layer":1},{"info":"compute unary expreesion, input=-13360, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰(≴∭⊉25300⋆⋳)=≴∭⊉26","reverse_text":"≴∭⊉26=⇉-⫰(≴∭⊉25300⋆⋳)","cot":[{"info":"≴∭⊉25300⋆⋳=≴∭⊉-53644","layer":1},{"info":"⇉-⫰≴∭⊉-53644=≴∭⊉26","layer":0}]}
+{"id":665,"expression_no_base_symbol":"($1360$⇣⩺⋵$4025$)⨑⩅≇($1076$≳⇉$1474$)","expression":"(≴∭⊉3652⇣⩺⋵≴∭⊉14510)⨑⩅≇(≴∭⊉3065≳⇉≴∭⊉4204)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":937577,"operation_count":3,"complexity_ratio":312525.6666666667,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1360,"base":7},"right_expr":{"type":"numeric_atoms","value":4025,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1076,"base":7},"right_expr":{"type":"numeric_atoms","value":1474,"base":7}}},"used_operators":["h92wMvzauj","F4yD0voBRQ","V0kx6qeWkN"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":2},{"info":"number node, value=4025","layer":2},{"info":"compute binary expreesion, left_input=1360, right_input=4025, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2548","layer":1},{"info":"number node, value=1076","layer":2},{"info":"number node, value=1474","layer":2},{"info":"compute binary expreesion, left_input=1076, right_input=1474, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2548, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3652⇣⩺⋵≴∭⊉14510)⨑⩅≇(≴∭⊉3065≳⇉≴∭⊉4204)=≴∭⊉2504","reverse_text":"≴∭⊉2504=(≴∭⊉3652⇣⩺⋵≴∭⊉14510)⨑⩅≇(≴∭⊉3065≳⇉≴∭⊉4204)","cot":[{"info":"≴∭⊉3652⇣⩺⋵≴∭⊉14510=≴∭⊉-10300","layer":1},{"info":"≴∭⊉3065≳⇉≴∭⊉4204=NaN","layer":1},{"info":"≴∭⊉-10300⨑⩅≇NaN=≴∭⊉2504","layer":0}]}
+{"id":666,"expression_no_base_symbol":"($1713$⩒⫫$1426$)⇂≾⫗($7901$⨸⪁$1275$)","expression":"(≴∭⊉4665⩒⫫≴∭⊉4105)⇂≾⫗(≴∭⊉32015⨸⪁≴∭⊉3501)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1713,"base":7},"right_expr":{"type":"numeric_atoms","value":1426,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7901,"base":7},"right_expr":{"type":"numeric_atoms","value":1275,"base":7}}},"used_operators":["aBQ6xLxuTc","KFSx94NKJn","g55IO6H4Gj"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe"],"result":"≴∭⊉-1654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1713","layer":2},{"info":"number node, value=1426","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=1426, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1411","layer":1},{"info":"number node, value=7901","layer":2},{"info":"number node, value=1275","layer":2},{"info":"compute binary expreesion, left_input=7901, right_input=1275, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18352","layer":1},{"info":"compute binary expreesion, left_input=1411, right_input=18352, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4665⩒⫫≴∭⊉4105)⇂≾⫗(≴∭⊉32015⨸⪁≴∭⊉3501)=≴∭⊉-1654","reverse_text":"≴∭⊉-1654=(≴∭⊉4665⩒⫫≴∭⊉4105)⇂≾⫗(≴∭⊉32015⨸⪁≴∭⊉3501)","cot":[{"info":"≴∭⊉4665⩒⫫≴∭⊉4105=≴∭⊉4054","layer":1},{"info":"≴∭⊉32015⨸⪁≴∭⊉3501=≴∭⊉104335","layer":1},{"info":"≴∭⊉4054⇂≾⫗≴∭⊉104335=≴∭⊉-1654","layer":0}]}
+{"id":667,"expression_no_base_symbol":"(⇈$1321$)≭$1755$⇡⇂$2011$","expression":"(⇈≴∭⊉3565)≭≴∭⊉5055⇡⇂≴∭⊉5602","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11235,"operation_count":3,"complexity_ratio":3745.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1321,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1755,"base":7},"right_expr":{"type":"numeric_atoms","value":2011,"base":7}}},"used_operators":["rxpJgHHUmx","SLLxy00UIr","UMwdvZNt44"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1321","layer":2},{"info":"compute unary expreesion, input=1321, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=1755","layer":2},{"info":"number node, value=2011","layer":2},{"info":"compute binary expreesion, left_input=1755, right_input=2011, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, 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":7,"result_base":7,"text":"(⇈≴∭⊉3565)≭≴∭⊉5055⇡⇂≴∭⊉5602=NaN","reverse_text":"NaN=(��≴∭⊉3565)≭≴∭⊉5055⇡⇂≴∭⊉5602","cot":[{"info":"⇈≴∭⊉3565=≴∭⊉-1206","layer":1},{"info":"≴∭⊉5055⇡⇂≴∭⊉5602=NaN","layer":1},{"info":"≴∭⊉-1206≭NaN=NaN","layer":0}]}
+{"id":668,"expression_no_base_symbol":"($3671$⋷$3903$)↯⫤","expression":"(≴∭⊉13463⋷≴∭⊉14244)↯⫤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3671,"base":7},"right_expr":{"type":"numeric_atoms","value":3903,"base":7}}},"used_operators":["VwlE7vj6HS","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3671","layer":2},{"info":"number node, value=3903","layer":2},{"info":"compute binary expreesion, left_input=3671, right_input=3903, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4135","layer":1},{"info":"compute unary expreesion, input=4135, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13463⋷≴∭⊉14244)↯⫤=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉13463⋷≴∭⊉14244)↯⫤","cot":[{"info":"≴∭⊉13463⋷≴∭⊉14244=≴∭⊉15025","layer":1},{"info":"≴∭⊉15025↯⫤=≴∭⊉0","layer":0}]}
+{"id":669,"expression_no_base_symbol":"($2024$⫘$6190$)⨀⨒","expression":"(≴∭⊉5621⫘≴∭⊉24022)⨀⨒","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2288,"operation_count":2,"complexity_ratio":1144.0,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2024,"base":7},"right_expr":{"type":"numeric_atoms","value":6190,"base":7}}},"used_operators":["j6NVkjMzuk","48vC8HMD2b"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"≴∭⊉553511161","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":2},{"info":"number node, value=6190","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=6190, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2384629","layer":1},{"info":"compute unary expreesion, input=2384629, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=33381538","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5621⫘≴∭⊉24022)⨀⨒=≴∭⊉553511161","reverse_text":"≴∭⊉553511161=(≴∭⊉5621⫘≴∭⊉24022)⨀⨒","cot":[{"info":"≴∭⊉5621⫘≴∭⊉24022=≴∭⊉26161162","layer":1},{"info":"≴∭⊉26161162⨀⨒=≴∭⊉553511161","layer":0}]}
+{"id":670,"expression_no_base_symbol":"($4756$↹⊜$1205$)⨘","expression":"(≴∭⊉16603↹⊜≴∭⊉3341)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4632,"operation_count":2,"complexity_ratio":2316.0,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4756,"base":7},"right_expr":{"type":"numeric_atoms","value":1205,"base":7}}},"used_operators":["ljcfZBUpm8","9bazX3JMtO"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉-165025","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4756","layer":2},{"info":"number node, value=1205","layer":2},{"info":"compute binary expreesion, left_input=4756, right_input=1205, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4596","layer":1},{"info":"compute unary expreesion, input=4596, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-32947","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16603↹⊜≴∭⊉3341)⨘=≴∭⊉-165025","reverse_text":"≴∭⊉-165025=(≴∭⊉16603↹⊜≴∭⊉3341)⨘","cot":[{"info":"≴∭⊉16603↹⊜≴∭⊉3341=≴∭⊉16254","layer":1},{"info":"≴∭⊉16254⨘=≴∭⊉-165025","layer":0}]}
+{"id":671,"expression_no_base_symbol":"($4451$≬⋮$5397$)⨎$1872$≚⊃≕$7030$","expression":"(≴∭⊉15656≬���≴∭⊉21510)⨎≴∭⊉5313≚⊃≕≴∭⊉26332","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":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4451,"base":7},"right_expr":{"type":"numeric_atoms","value":5397,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1872,"base":7},"right_expr":{"type":"numeric_atoms","value":7030,"base":7}}},"used_operators":["rJVOvQCfKK","kbkesczE7y","Bmrmz2XGnR"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-114523","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4451","layer":2},{"info":"number node, value=5397","layer":2},{"info":"compute binary expreesion, left_input=4451, right_input=5397, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1872","layer":2},{"info":"number node, value=7030","layer":2},{"info":"compute binary expreesion, left_input=1872, right_input=7030, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-20842","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-20842, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-20842","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15656≬⋮≴∭⊉21510)⨎≴∭⊉5313≚⊃≕≴∭⊉26332=≴∭⊉-114523","reverse_text":"≴∭⊉-114523=(≴∭⊉15656≬⋮≴∭⊉21510)⨎≴∭⊉5313≚⊃≕≴∭⊉26332","cot":[{"info":"≴∭⊉15656≬⋮≴∭⊉21510=≴∭⊉2350","layer":1},{"info":"≴∭⊉5313≚⊃≕≴∭⊉26332=≴∭⊉-114523","layer":1},{"info":"≴∭⊉2350⨎≴∭⊉-114523=≴∭⊉-114523","layer":0}]}
+{"id":672,"expression_no_base_symbol":"($3298$↬$2647$)⨚⇆$1190$⪎↠$1715$","expression":"(≴∭⊉12421↬≴∭⊉10501)⨚⇆≴∭⊉3320⪎↠≴∭⊉5000","highest_n_order":5,"priority_hierarchical_complexity":2,"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":3298,"base":7},"right_expr":{"type":"numeric_atoms","value":2647,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1190,"base":7},"right_expr":{"type":"numeric_atoms","value":1715,"base":7}}},"used_operators":["lwHaAYXP2r","B5M0gjZbta","3tVxb0NHM4"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rGHVDoGpnC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3298","layer":2},{"info":"number node, value=2647","layer":2},{"info":"compute binary expreesion, left_input=3298, right_input=2647, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1190","layer":2},{"info":"number node, value=1715","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=1715, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12421↬≴∭⊉10501)⨚⇆≴∭⊉3320⪎↠≴∭⊉5000=NaN","reverse_text":"NaN=(≴∭⊉12421↬≴∭⊉10501)⨚⇆≴∭⊉3320⪎↠≴∭⊉5000","cot":[{"info":"≴∭⊉12421↬≴∭⊉10501=NaN","layer":1},{"info":"≴∭⊉3320⪎↠≴∭⊉5000=≴∭⊉316","layer":1},{"info":"NaN⨚⇆≴∭⊉316=NaN","layer":0}]}
+{"id":673,"expression_no_base_symbol":"$4374$⨸$1721$∙⊟$4335$⪛⫼$2564$","expression":"≴∭⊉15516⨸≴∭⊉5006∙⊟≴∭⊉15432⪛⫼≴∭⊉10322","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13469,"operation_count":3,"complexity_ratio":4489.666666666667,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4374,"base":7},"right_expr":{"type":"numeric_atoms","value":1721,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4335,"base":7},"right_expr":{"type":"numeric_atoms","value":2564,"base":7}}},"used_operators":["SxTAKzQCrw","KmoU8R5UQR","hyuBjUqXlG"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"≴∭⊉1023156","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4374","layer":2},{"info":"number node, value=1721","layer":2},{"info":"compute binary expreesion, left_input=4374, right_input=1721, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=8748","layer":1},{"info":"number node, value=4335","layer":2},{"info":"number node, value=2564","layer":2},{"info":"compute binary expreesion, left_input=4335, right_input=2564, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=8748, right_input=968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=123570","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15516⨸≴∭⊉5006∙⊟≴∭⊉15432⪛⫼≴∭⊉10322=≴∭⊉1023156","reverse_text":"≴∭⊉1023156=≴∭⊉15516⨸≴∭⊉5006∙⊟≴∭⊉15432⪛⫼≴∭⊉10322","cot":[{"info":"≴∭⊉15516⨸≴∭⊉5006=≴∭⊉34335","layer":1},{"info":"≴∭⊉15432⪛⫼≴∭⊉10322=≴∭⊉2552","layer":1},{"info":"≴∭⊉34335∙⊟≴∭⊉2552=≴∭⊉1023156","layer":0}]}
+{"id":674,"expression_no_base_symbol":"∂$5007$→⨶⪴$2325$","expression":"∂≴∭⊉20412→⨶⪴≴∭⊉6531","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":5007,"base":7},"right_expr":{"type":"numeric_atoms","value":2325,"base":7}}},"used_operators":["Uaa54Peajs","bF6eod5Gvf"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","9FxExcQeMw"],"result":"≴∭⊉25365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5007","layer":2},{"info":"number node, value=2325","layer":2},{"info":"compute binary expreesion, left_input=5007, right_input=2325, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6975","layer":1},{"info":"compute unary expreesion, input=-6975, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=6711","layer":0}],"base":7,"result_base":7,"text":"∂≴∭⊉20412→⨶⪴≴∭⊉6531=≴∭⊉25365","reverse_text":"≴∭⊉25365=∂≴∭⊉20412→⨶⪴≴∭⊉6531","cot":[{"info":"≴∭⊉20412→⨶⪴≴∭⊉6531=≴∭⊉-26223","layer":1},{"info":"∂≴∭⊉-26223=≴∭⊉25365","layer":0}]}
+{"id":675,"expression_no_base_symbol":"$1593$⫔⩽⩺$1185$⩨$2389$⫲≸⪮$4172$","expression":"≴∭⊉4434⫔⩽⩺≴∭⊉3312⩨≴∭⊉6652⫲≸⪮≴∭⊉15110","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2423,"operation_count":3,"complexity_ratio":807.6666666666666,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1593,"base":7},"right_expr":{"type":"numeric_atoms","value":1185,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2389,"base":7},"right_expr":{"type":"numeric_atoms","value":4172,"base":7}}},"used_operators":["2DlMacCsIx","i9eR4S00cU","P3lXMJvFrc"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tw270M8GLb","fu6greOZ01","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1593","layer":2},{"info":"number node, value=1185","layer":2},{"info":"compute binary expreesion, left_input=1593, right_input=1185, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2389","layer":2},{"info":"number node, value=4172","layer":2},{"info":"compute binary expreesion, left_input=2389, right_input=4172, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2389","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2389, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4434⫔⩽⩺≴∭⊉3312⩨≴∭⊉6652⫲≸⪮≴∭⊉15110=NaN","reverse_text":"NaN=≴∭⊉4434⫔⩽⩺≴∭⊉3312⩨≴∭⊉6652⫲≸⪮≴∭⊉15110","cot":[{"info":"≴∭⊉4434⫔⩽⩺≴∭⊉3312=NaN","layer":1},{"info":"≴∭⊉6652⫲≸⪮≴∭⊉15110=≴∭⊉6652","layer":1},{"info":"NaN⩨≴∭⊉6652=NaN","layer":0}]}
+{"id":676,"expression_no_base_symbol":"↨⩢⫨(∡$5015$)","expression":"↨⩢⫨(∡≴∭⊉20423)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":2,"complexity_ratio":29.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5015,"base":7}}},"used_operators":["Z5CJsN7DuW","pRsWfj4Fpp"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5015","layer":2},{"info":"compute unary expreesion, input=5015, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5015","layer":1},{"info":"compute unary expreesion, input=-5015, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":7,"result_base":7,"text":"↨⩢⫨(∡≴∭⊉20423)=≴∭⊉0","reverse_text":"≴∭⊉0=↨⩢⫨(∡≴∭⊉20423)","cot":[{"info":"∡≴∭⊉20423=≴∭⊉-20423","layer":1},{"info":"↨⩢⫨≴∭⊉-20423=≴∭⊉0","layer":0}]}
+{"id":677,"expression_no_base_symbol":"$4215$∌$1028$⊍⩺⋍($1169$↛⩡⫤)","expression":"≴∭⊉15201∌≴∭⊉2666⊍⩺⋍(≴∭⊉3260↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3857,"operation_count":3,"complexity_ratio":1285.6666666666667,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4215,"base":7},"right_expr":{"type":"numeric_atoms","value":1028,"base":7}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1169,"base":7}}},"used_operators":["OXDGMFPWZM","8cLx32lpNA","FU0Cs4j7VP"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4215","layer":2},{"info":"number node, value=1028","layer":2},{"info":"compute binary expreesion, left_input=4215, right_input=1028, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1028","layer":1},{"info":"number node, value=1169","layer":2},{"info":"compute unary expreesion, input=1169, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-172608","layer":1},{"info":"compute binary expreesion, left_input=-1028, right_input=-172608, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15201∌≴∭⊉2666⊍⩺⋍(≴∭⊉3260↛⩡⫤)=NaN","reverse_text":"NaN=≴∭⊉15201∌≴∭⊉2666⊍⩺⋍(≴∭⊉3260↛⩡⫤)","cot":[{"info":"≴∭⊉15201∌≴∭⊉2666=≴∭⊉-2666","layer":1},{"info":"≴∭⊉3260↛⩡⫤=≴∭⊉-1316142","layer":1},{"info":"≴∭⊉-2666⊍⩺⋍≴∭⊉-1316142=NaN","layer":0}]}
+{"id":678,"expression_no_base_symbol":"⊄⩳↩(⊤⊝$4033$)","expression":"⊄⩳↩(⊤⊝≴∭⊉14521)","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":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":4033,"base":7}}},"used_operators":["8w2t5hMYqp","rXAclfmB4M"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp"],"result":"≴∭⊉-113124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":2},{"info":"compute unary expreesion, input=4033, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6768","layer":1},{"info":"compute unary expreesion, input=6768, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20304","layer":0}],"base":7,"result_base":7,"text":"⊄⩳↩(⊤⊝≴∭⊉14521)=≴∭⊉-113124","reverse_text":"≴∭⊉-113124=⊄⩳↩(⊤⊝≴∭⊉14521)","cot":[{"info":"⊤⊝≴∭⊉14521=≴∭⊉25506","layer":1},{"info":"⊄⩳↩≴∭⊉25506=≴∭⊉-113124","layer":0}]}
+{"id":679,"expression_no_base_symbol":"⋎⨆(∓⪦$2309$)","expression":"⋎⨆(∓⪦≴∭⊉6506)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":54,"operation_count":2,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2309,"base":7}}},"used_operators":["E64sFOc4tB","D309nIvmXG"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2309","layer":2},{"info":"compute unary expreesion, input=2309, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1901","layer":1},{"info":"compute unary expreesion, input=1901, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⋎⨆(∓⪦≴∭⊉6506)=≴∭⊉0","reverse_text":"≴∭⊉0=⋎⨆(∓⪦≴∭⊉6506)","cot":[{"info":"∓⪦≴∭⊉6506=≴∭⊉5354","layer":1},{"info":"⋎⨆≴∭⊉5354=≴∭⊉0","layer":0}]}
+{"id":680,"expression_no_base_symbol":"$1897$∼$1255$⪍↜⋙$1699$⩼⇪↪$6901$","expression":"≴∭⊉5350∼≴∭⊉3442⪍↜⋙≴∭⊉4645⩼⇪↪≴∭⊉26056","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1897,"base":7},"right_expr":{"type":"numeric_atoms","value":1255,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1699,"base":7},"right_expr":{"type":"numeric_atoms","value":6901,"base":7}}},"used_operators":["L05ObWFQCd","DyGG3AbaNP","ocnLzx9CaJ"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=1897, right_input=1255, 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=1699","layer":2},{"info":"number node, value=6901","layer":2},{"info":"compute binary expreesion, left_input=1699, right_input=6901, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-45692","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-45692, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5350∼≴∭⊉3442⪍↜⋙≴∭⊉4645⩼⇪↪≴∭⊉26056=NaN","reverse_text":"NaN=≴∭⊉5350∼≴∭⊉3442⪍↜⋙≴∭⊉4645⩼⇪↪≴∭⊉26056","cot":[{"info":"≴∭⊉5350∼≴∭⊉3442=NaN","layer":1},{"info":"≴∭⊉4645⩼⇪↪≴∭⊉26056=≴∭⊉-250133","layer":1},{"info":"NaN⪍↜⋙≴∭⊉-250133=NaN","layer":0}]}
+{"id":681,"expression_no_base_symbol":"($3641$+$1120$)⊹∫⫚$4036$⇻⋧≁$2234$","expression":"(≴∭⊉13421+≴∭⊉3160)⊹∫⫚≴∭⊉14524⇻⋧≁≴∭⊉6341","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4076,"operation_count":3,"complexity_ratio":1358.6666666666667,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3641,"base":7},"right_expr":{"type":"numeric_atoms","value":1120,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4036,"base":7},"right_expr":{"type":"numeric_atoms","value":2234,"base":7}}},"used_operators":["uWAJUKEvyW","W4YGzv6Whe","jCPkEVoL5K"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉-411","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3641","layer":2},{"info":"number node, value=1120","layer":2},{"info":"compute binary expreesion, left_input=3641, right_input=1120, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4761","layer":1},{"info":"number node, value=4036","layer":2},{"info":"number node, value=2234","layer":2},{"info":"compute binary expreesion, left_input=4036, right_input=2234, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=4761, right_input=-447, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-204","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13421+≴∭⊉3160)⊹∫⫚≴∭⊉14524⇻⋧≁≴∭⊉6341=≴∭⊉-411","reverse_text":"≴∭⊉-411=(≴∭⊉13421+≴∭⊉3160)⊹∫⫚≴∭⊉14524⇻⋧≁≴∭⊉6341","cot":[{"info":"≴∭⊉13421+≴∭⊉3160=≴∭⊉16611","layer":1},{"info":"≴∭⊉14524⇻⋧≁≴∭⊉6341=≴∭⊉-1206","layer":1},{"info":"≴∭⊉16611⊹∫⫚≴∭⊉-1206=≴∭⊉-411","layer":0}]}
+{"id":682,"expression_no_base_symbol":"($6842$⫌⩉⩟$8155$)⪟⇏($1506$⨸$1809$)","expression":"(≴∭⊉25643⫌⩉⩟≴∭⊉32530)⪟⇏(≴∭⊉4251⨸≴∭⊉5163)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44500,"operation_count":3,"complexity_ratio":14833.333333333334,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6842,"base":7},"right_expr":{"type":"numeric_atoms","value":8155,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1506,"base":7},"right_expr":{"type":"numeric_atoms","value":1809,"base":7}}},"used_operators":["GODebY97qR","XIIwhv8d0m","KmoU8R5UQR"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6842","layer":2},{"info":"number node, value=8155","layer":2},{"info":"compute binary expreesion, left_input=6842, right_input=8155, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1506","layer":2},{"info":"number node, value=1809","layer":2},{"info":"compute binary expreesion, left_input=1506, right_input=1809, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3012","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=3012, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25643⫌⩉⩟≴∭⊉32530)⪟⇏(≴∭⊉4251⨸≴∭⊉5163)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉25643⫌⩉⩟≴∭⊉32530)⪟⇏(≴∭⊉4251⨸≴∭⊉5163)","cot":[{"info":"≴∭⊉25643⫌⩉⩟≴∭⊉32530=≴∭⊉-101","layer":1},{"info":"≴∭⊉4251⨸≴∭⊉5163=≴∭⊉11532","layer":1},{"info":"≴∭⊉-101⪟⇏≴∭⊉11532=≴∭⊉0","layer":0}]}
+{"id":683,"expression_no_base_symbol":"$2914$↬$7817$⨭⪣($3205$⨳⩥⨓$3177$)","expression":"≴∭⊉11332↬≴∭⊉31535⨭⪣(≴∭⊉12226⨳⩥⨓≴∭⊉12156)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2914,"base":7},"right_expr":{"type":"numeric_atoms","value":7817,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3205,"base":7},"right_expr":{"type":"numeric_atoms","value":3177,"base":7}}},"used_operators":["kn8WO9XteQ","B5M0gjZbta","nCS4ZIUYfx"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2914","layer":2},{"info":"number node, value=7817","layer":2},{"info":"compute binary expreesion, left_input=2914, right_input=7817, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3205","layer":2},{"info":"number node, value=3177","layer":2},{"info":"compute binary expreesion, left_input=3205, right_input=3177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-28","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-28, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11332↬≴∭⊉31535⨭⪣(≴∭⊉12226⨳⩥⨓≴∭⊉12156)=NaN","reverse_text":"NaN=≴∭⊉11332↬≴∭⊉31535⨭⪣(≴∭⊉12226⨳⩥⨓≴∭⊉12156)","cot":[{"info":"≴∭⊉11332↬≴∭⊉31535=NaN","layer":1},{"info":"≴∭⊉12226⨳⩥⨓≴∭⊉12156=≴∭⊉-40","layer":1},{"info":"NaN⨭⪣≴∭⊉-40=NaN","layer":0}]}
+{"id":684,"expression_no_base_symbol":"∐⩳⋚($3304$⨼⩣$5119$)","expression":"∐⩳⋚(≴∭⊉12430⨼⩣≴∭⊉20632)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":397,"operation_count":2,"complexity_ratio":198.5,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3304,"base":7},"right_expr":{"type":"numeric_atoms","value":5119,"base":7}}},"used_operators":["SL6IHkK8vl","JxwMv5le6e"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3304","layer":2},{"info":"number node, value=5119","layer":2},{"info":"compute binary expreesion, left_input=3304, right_input=5119, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∐⩳⋚(≴∭⊉12430⨼⩣≴∭⊉20632)=NaN","reverse_text":"NaN=∐⩳⋚(≴∭⊉12430⨼⩣≴∭⊉20632)","cot":[{"info":"≴∭⊉12430⨼⩣≴∭⊉20632=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
+{"id":685,"expression_no_base_symbol":"($1192$⨪↰⇹$3663$)⪚($2250$⊍⩺⋍$3222$)","expression":"(≴∭⊉3322⨪↰⇹≴∭⊉13452)⪚(≴∭⊉6363⊍⩺⋍≴∭⊉12252)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1420,"operation_count":3,"complexity_ratio":473.3333333333333,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1192,"base":7},"right_expr":{"type":"numeric_atoms","value":3663,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2250,"base":7},"right_expr":{"type":"numeric_atoms","value":3222,"base":7}}},"used_operators":["HrjLwUk87U","tmPS8pqC7x","OXDGMFPWZM"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1192","layer":2},{"info":"number node, value=3663","layer":2},{"info":"compute binary expreesion, left_input=1192, right_input=3663, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1192","layer":1},{"info":"number node, value=2250","layer":2},{"info":"number node, value=3222","layer":2},{"info":"compute binary expreesion, left_input=2250, right_input=3222, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1192, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3322⨪↰⇹≴∭⊉13452)⪚(≴∭⊉6363⊍⩺⋍≴∭⊉12252)=NaN","reverse_text":"NaN=(≴∭⊉3322⨪↰⇹≴∭⊉13452)⪚(≴∭⊉6363⊍⩺⋍≴∭⊉12252)","cot":[{"info":"≴∭⊉3322⨪↰⇹≴∭⊉13452=≴∭⊉3322","layer":1},{"info":"≴∭⊉6363⊍⩺⋍≴∭⊉12252=NaN","layer":1},{"info":"≴∭⊉3322⪚NaN=NaN","layer":0}]}
+{"id":686,"expression_no_base_symbol":"(⊑$1204$)⨰($1128$↙$3024$)","expression":"(⊑≴∭⊉3340)⨰(≴∭⊉3201↙≴∭⊉11550)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3442,"operation_count":3,"complexity_ratio":1147.3333333333333,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1204,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1128,"base":7},"right_expr":{"type":"numeric_atoms","value":3024,"base":7}}},"used_operators":["eewbuw0ToL","IkUmn0D7oy","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","tmPS8pqC7x","DpFCA1CohY"],"result":"≴∭⊉36016","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":2},{"info":"compute unary expreesion, input=1204, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1128","layer":2},{"info":"number node, value=3024","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=3024, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9072","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=-9072, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9274","layer":0}],"base":7,"result_base":7,"text":"(⊑≴∭⊉3340)⨰(≴∭⊉3201↙≴∭⊉11550)=≴∭⊉36016","reverse_text":"≴∭⊉36016=(⊑≴∭⊉3340)⨰(≴∭⊉3201↙≴∭⊉11550)","cot":[{"info":"⊑≴∭⊉3340=≴∭⊉363","layer":1},{"info":"≴∭⊉3201↙≴∭⊉11550=≴∭⊉-35310","layer":1},{"info":"≴∭⊉363⨰≴∭⊉-35310=≴∭⊉36016","layer":0}]}
+{"id":687,"expression_no_base_symbol":"(⨈⪑$2523$)⨐⩸⫘$4212$⇴$1564$","expression":"(⨈⪑≴∭⊉10233)⨐⩸⫘≴∭⊉15165⇴≴∭⊉4363","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":95,"operation_count":3,"complexity_ratio":31.666666666666668,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2523,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4212,"base":7},"right_expr":{"type":"numeric_atoms","value":1564,"base":7}}},"used_operators":["fu6greOZ01","mp94q5OcYM","4JB6nKBMSY"],"dependent_operators":["3ViojmjbAp","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2523","layer":2},{"info":"compute unary expreesion, input=2523, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=4212","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=4212, right_input=1564, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=28014","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=28014, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":7,"result_base":7,"text":"(⨈⪑≴∭⊉10233)⨐⩸⫘≴∭⊉15165⇴≴∭⊉4363=NaN","reverse_text":"NaN=(⨈⪑≴∭⊉10233)⨐⩸⫘≴∭⊉15165⇴≴∭⊉4363","cot":[{"info":"⨈⪑≴∭⊉10233=≴∭⊉2350","layer":1},{"info":"≴∭⊉15165⇴≴∭⊉4363=≴∭⊉144450","layer":1},{"info":"≴∭⊉2350⨐⩸⫘≴∭⊉144450=NaN","layer":0}]}
+{"id":688,"expression_no_base_symbol":"($3653$⪇≇⋚$4607$)⨥⫆($2745$⊬⨰$7459$)","expression":"(≴∭⊉13436⪇≇⋚≴∭⊉16301)⨥⫆(≴∭⊉11001⊬⨰≴∭⊉30514)","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":3653,"base":7},"right_expr":{"type":"numeric_atoms","value":4607,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2745,"base":7},"right_expr":{"type":"numeric_atoms","value":7459,"base":7}}},"used_operators":["yXekIHxTD4","3sJ7IOPOlU","s3Fd5m9Dh2"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3653","layer":2},{"info":"number node, value=4607","layer":2},{"info":"compute binary expreesion, left_input=3653, right_input=4607, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2745","layer":2},{"info":"number node, value=7459","layer":2},{"info":"compute binary expreesion, left_input=2745, right_input=7459, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=31525","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=31525, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13436⪇≇⋚≴∭⊉16301)⨥⫆(≴∭⊉11001⊬⨰≴∭⊉30514)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉13436⪇≇⋚≴∭⊉16301)⨥⫆(≴∭⊉11001⊬⨰≴∭⊉30514)","cot":[{"info":"≴∭⊉13436⪇≇⋚≴∭⊉16301=≴∭⊉0","layer":1},{"info":"≴∭⊉11001⊬⨰≴∭⊉30514=≴∭⊉160624","layer":1},{"info":"≴∭⊉0⨥⫆≴∭⊉160624=≴∭⊉0","layer":0}]}
+{"id":689,"expression_no_base_symbol":"(⩦⊞$2208$)≒∊(⇐$3135$)","expression":"(⩦⊞≴∭⊉6303)≒∊(⇐≴∭⊉12066)","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":2208,"base":7}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3135,"base":7}}},"used_operators":["5KTvxBwnZo","u7fv1HBiaC","nmZMaaE0Q9"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"≴∭⊉10024","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2208","layer":2},{"info":"compute unary expreesion, input=2208, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1935","layer":1},{"info":"number node, value=3135","layer":2},{"info":"compute unary expreesion, input=3135, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6036","layer":1},{"info":"compute binary expreesion, left_input=-1935, right_input=6036, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=2419","layer":0}],"base":7,"result_base":7,"text":"(⩦⊞≴∭⊉6303)≒∊(⇐≴∭⊉12066)=≴∭⊉10024","reverse_text":"≴∭⊉10024=(⩦⊞≴∭⊉6303)≒∊(⇐≴∭⊉12066)","cot":[{"info":"⩦⊞≴∭⊉6303=≴∭⊉-5433","layer":1},{"info":"⇐≴∭⊉12066=≴∭⊉23412","layer":1},{"info":"≴∭⊉-5433≒∊≴∭⊉23412=≴∭⊉10024","layer":0}]}
+{"id":690,"expression_no_base_symbol":"($3540$+$4926$)⪒⊣⊆($4411$≎⊠⪸$5760$)","expression":"(≴∭⊉13215+≴∭⊉20235)⪒⊣⊆(≴∭⊉15601≎⊠⪸≴∭⊉22536)","highest_n_order":2,"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":3540,"base":7},"right_expr":{"type":"numeric_atoms","value":4926,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4411,"base":7},"right_expr":{"type":"numeric_atoms","value":5760,"base":7}}},"used_operators":["eRqsBgTDFp","W4YGzv6Whe","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≴∭⊉100236","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3540","layer":2},{"info":"number node, value=4926","layer":2},{"info":"compute binary expreesion, left_input=3540, right_input=4926, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8466","layer":1},{"info":"number node, value=4411","layer":2},{"info":"number node, value=5760","layer":2},{"info":"compute binary expreesion, left_input=4411, right_input=5760, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1141976","layer":1},{"info":"compute binary expreesion, left_input=8466, right_input=1141976, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=16932","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13215+≴∭⊉20235)⪒⊣⊆(≴∭⊉15601≎⊠⪸≴∭⊉22536)=≴∭⊉100236","reverse_text":"≴∭⊉100236=(≴∭⊉13215+≴∭⊉20235)⪒⊣⊆(≴∭⊉15601≎⊠⪸≴∭⊉22536)","cot":[{"info":"≴∭⊉13215+≴∭⊉20235=≴∭⊉33453","layer":1},{"info":"≴∭⊉15601≎⊠⪸≴∭⊉22536=≴∭⊉12464243","layer":1},{"info":"≴∭⊉33453⪒⊣⊆≴∭⊉12464243=≴∭⊉100236","layer":0}]}
+{"id":691,"expression_no_base_symbol":"$1922$⨚⇆$8621$+($5524$⪣⫩)","expression":"≴∭⊉5414⨚⇆≴∭⊉34064+(≴∭⊉22051⪣⫩)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13494,"operation_count":3,"complexity_ratio":4498.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1922,"base":7},"right_expr":{"type":"numeric_atoms","value":8621,"base":7}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":5524,"base":7}}},"used_operators":["W4YGzv6Whe","lwHaAYXP2r","iuk5sVOGFA"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1922","layer":2},{"info":"number node, value=8621","layer":2},{"info":"compute binary expreesion, left_input=1922, right_input=8621, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=5524","layer":2},{"info":"compute unary expreesion, input=5524, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=16539","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16539, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5414⨚⇆≴∭⊉34064+(≴∭⊉22051⪣⫩)=NaN","reverse_text":"NaN=≴∭⊉5414⨚⇆≴∭⊉34064+(≴∭⊉22051⪣⫩)","cot":[{"info":"≴∭⊉5414⨚⇆≴∭⊉34064=NaN","layer":1},{"info":"≴∭⊉22051⪣⫩=≴∭⊉66135","layer":1},{"info":"NaN+≴∭⊉66135=NaN","layer":0}]}
+{"id":692,"expression_no_base_symbol":"$3030$⪔⊥$1279$↳∿⪆($4973$⫸⊐$1091$)","expression":"≴∭⊉11556⪔⊥≴∭⊉3505↳∿⪆(≴∭⊉20333⫸⊐≴∭⊉3116)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2491,"operation_count":3,"complexity_ratio":830.3333333333334,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3030,"base":7},"right_expr":{"type":"numeric_atoms","value":1279,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4973,"base":7},"right_expr":{"type":"numeric_atoms","value":1091,"base":7}}},"used_operators":["Cw4SuJJGHO","HJ9erzHUuu","mqXw5SEYmG"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3030","layer":2},{"info":"number node, value=1279","layer":2},{"info":"compute binary expreesion, left_input=3030, right_input=1279, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9363","layer":1},{"info":"number node, value=4973","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=4973, right_input=1091, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4239","layer":1},{"info":"compute binary expreesion, left_input=9363, right_input=4239, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11556⪔⊥≴∭⊉3505↳∿⪆(≴∭⊉20333⫸⊐≴∭⊉3116)=NaN","reverse_text":"NaN=≴∭⊉11556⪔⊥≴∭⊉3505↳∿⪆(≴∭⊉20333⫸⊐≴∭⊉3116)","cot":[{"info":"≴∭⊉11556⪔⊥≴∭⊉3505=≴∭⊉36204","layer":1},{"info":"≴∭⊉20333⫸⊐≴∭⊉3116=≴∭⊉15234","layer":1},{"info":"≴∭⊉36204↳∿⪆≴∭⊉15234=NaN","layer":0}]}
+{"id":693,"expression_no_base_symbol":"(⨙⪌$3420$)⋅⇍($5115$⪒$1038$)","expression":"(⨙⪌≴∭⊉12654)⋅⇍(≴∭⊉20625⪒≴∭⊉3012)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":917,"operation_count":3,"complexity_ratio":305.6666666666667,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3420,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5115,"base":7},"right_expr":{"type":"numeric_atoms","value":1038,"base":7}}},"used_operators":["AdZkA7nFnk","vEGLkm4Z2k","f6k1SAg4EE"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-4126","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":2},{"info":"compute unary expreesion, input=3420, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"number node, value=5115","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=5115, right_input=1038, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6153","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-6153, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1441","layer":0}],"base":7,"result_base":7,"text":"(⨙⪌≴∭⊉12654)⋅⇍(≴∭⊉20625⪒≴∭⊉3012)=≴∭⊉-4126","reverse_text":"≴∭⊉-4126=(⨙⪌≴∭⊉12654)⋅⇍(≴∭⊉20625⪒≴∭⊉3012)","cot":[{"info":"⨙⪌≴∭⊉12654=≴∭⊉2350","layer":1},{"info":"≴∭⊉20625⪒≴∭⊉3012=≴∭⊉-23640","layer":1},{"info":"≴∭⊉2350⋅⇍≴∭⊉-23640=≴∭⊉-4126","layer":0}]}
+{"id":694,"expression_no_base_symbol":"$1337$⪔⊥$5678$⨽($1473$⨵⪆$1779$)","expression":"≴∭⊉3620⪔⊥≴∭⊉22361⨽(≴∭⊉4203⨵⪆≴∭⊉5121)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6236,"operation_count":3,"complexity_ratio":2078.6666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1337,"base":7},"right_expr":{"type":"numeric_atoms","value":5678,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1473,"base":7},"right_expr":{"type":"numeric_atoms","value":1779,"base":7}}},"used_operators":["8HhzD0ZcuI","HJ9erzHUuu","2DQ55sFlQl"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-2602261044","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":2},{"info":"number node, value=5678","layer":2},{"info":"compute binary expreesion, left_input=1337, right_input=5678, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-6207","layer":1},{"info":"number node, value=1473","layer":2},{"info":"number node, value=1779","layer":2},{"info":"compute binary expreesion, left_input=1473, right_input=1779, 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=-6207, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-115579713","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3620⪔⊥≴∭⊉22361⨽(≴∭⊉4203⨵⪆≴∭⊉5121)=≴∭⊉-2602261044","reverse_text":"≴∭⊉-2602261044=≴∭⊉3620⪔⊥≴∭⊉22361⨽(≴∭⊉4203⨵⪆≴∭⊉5121)","cot":[{"info":"≴∭⊉3620⪔⊥≴∭⊉22361=≴∭⊉-24045","layer":1},{"info":"≴∭⊉4203⨵⪆≴∭⊉5121=≴∭⊉316","layer":1},{"info":"≴∭⊉-24045⨽≴∭⊉316=≴∭⊉-2602261044","layer":0}]}
+{"id":695,"expression_no_base_symbol":"($3432$∕⩚$2188$)⨐⩸⫘$5533$⋾⨃∁$1095$","expression":"(≴∭⊉13002∕⩚≴∭⊉6244)⨐⩸⫘≴∭⊉22063⋾⨃∁≴∭⊉3123","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4572,"operation_count":3,"complexity_ratio":1524.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3432,"base":7},"right_expr":{"type":"numeric_atoms","value":2188,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5533,"base":7},"right_expr":{"type":"numeric_atoms","value":1095,"base":7}}},"used_operators":["fu6greOZ01","z9ffQ9n5Zr","212REbPD9h"],"dependent_operators":["3ViojmjbAp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3432","layer":2},{"info":"number node, value=2188","layer":2},{"info":"compute binary expreesion, left_input=3432, right_input=2188, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3435","layer":1},{"info":"number node, value=5533","layer":2},{"info":"number node, value=1095","layer":2},{"info":"compute binary expreesion, left_input=5533, right_input=1095, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11977016","layer":1},{"info":"compute binary expreesion, left_input=-3435, right_input=11977016, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":7,"result_base":7,"text":"(≴∭⊉13002∕⩚≴∭⊉6244)⨐⩸⫘≴∭⊉22063⋾⨃∁≴∭⊉3123=NaN","reverse_text":"NaN=(≴∭⊉13002∕⩚≴∭⊉6244)⨐⩸⫘≴∭⊉22063⋾⨃∁≴∭⊉3123","cot":[{"info":"≴∭⊉13002∕⩚≴∭⊉6244=≴∭⊉-13005","layer":1},{"info":"≴∭⊉22063⋾⨃∁≴∭⊉3123=≴∭⊉203542262","layer":1},{"info":"≴∭⊉-13005⨐⩸⫘≴∭⊉203542262=NaN","layer":0}]}
+{"id":696,"expression_no_base_symbol":"$2990$⨂≜$2410$⇷(⇁⨣⪵$6406$)","expression":"≴∭⊉11501⨂≜≴∭⊉10012⇷(⇁⨣⪵≴∭⊉24451)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3031,"operation_count":3,"complexity_ratio":1010.3333333333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2990,"base":7},"right_expr":{"type":"numeric_atoms","value":2410,"base":7}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6406,"base":7}}},"used_operators":["mp7IySMOzn","k1SHOSEABc","inkyxCbjAn"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2990","layer":2},{"info":"number node, value=2410","layer":2},{"info":"compute binary expreesion, left_input=2990, right_input=2410, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=6406","layer":2},{"info":"compute unary expreesion, input=6406, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11501⨂≜≴∭⊉10012⇷(⇁⨣⪵≴∭⊉24451)=NaN","reverse_text":"NaN=≴∭⊉11501⨂≜≴∭⊉10012⇷(⇁⨣⪵≴∭⊉24451)","cot":[{"info":"≴∭⊉11501⨂≜≴∭⊉10012=NaN","layer":1},{"info":"⇁⨣⪵≴∭⊉24451=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
+{"id":697,"expression_no_base_symbol":"⨑⩽⪐$3838$∴$1150$","expression":"⨑⩽⪐≴∭⊉14122∴≴∭⊉3232","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":3838,"base":7},"right_expr":{"type":"numeric_atoms","value":1150,"base":7}}},"used_operators":["AF7qkfDlqP","hrf7POJlIJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉-35250","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3838","layer":2},{"info":"number node, value=1150","layer":2},{"info":"compute binary expreesion, left_input=3838, right_input=1150, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9324","layer":1},{"info":"compute unary expreesion, input=9324, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-9051","layer":0}],"base":7,"result_base":7,"text":"⨑⩽⪐≴∭⊉14122∴≴∭⊉3232=≴∭⊉-35250","reverse_text":"≴∭⊉-35250=⨑⩽⪐≴∭⊉14122∴≴∭⊉3232","cot":[{"info":"≴∭⊉14122∴≴∭⊉3232=≴∭⊉36120","layer":1},{"info":"⨑⩽⪐≴∭⊉36120=≴∭⊉-35250","layer":0}]}
+{"id":698,"expression_no_base_symbol":"$1546$≌$1425$⪔⊥($1330$*$4321$)","expression":"≴∭⊉4336≌≴∭⊉4104⪔⊥(≴∭⊉3610*≴∭⊉15412)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2905,"operation_count":3,"complexity_ratio":968.3333333333334,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":1425,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1330,"base":7},"right_expr":{"type":"numeric_atoms","value":4321,"base":7}}},"used_operators":["HJ9erzHUuu","lyWz822IDG","9HNa5Wba9A"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":2},{"info":"number node, value=1425","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=1425, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1330","layer":2},{"info":"number node, value=4321","layer":2},{"info":"compute binary expreesion, left_input=1330, right_input=4321, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5746930","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5746930, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4336≌≴∭⊉4104⪔⊥(≴∭⊉3610*≴∭⊉15412)=NaN","reverse_text":"NaN=≴∭⊉4336≌≴∭⊉4104⪔⊥(≴∭⊉3610*≴∭⊉15412)","cot":[{"info":"≴∭⊉4336≌≴∭⊉4104=NaN","layer":1},{"info":"≴∭⊉3610*≴∭⊉15412=≴∭⊉66563620","layer":1},{"info":"NaN⪔⊥≴∭⊉66563620=NaN","layer":0}]}
+{"id":699,"expression_no_base_symbol":"($1879$≒∊$2016$)⨚($2154$⨕⋳)","expression":"(≴∭⊉5323≒∊≴∭⊉5610)⨚(≴∭⊉6165⨕⋳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":116,"operation_count":3,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1879,"base":7},"right_expr":{"type":"numeric_atoms","value":2016,"base":7}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":2154,"base":7}}},"used_operators":["nREPSIbpBE","5KTvxBwnZo","4X4GscPmMf"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"≴∭⊉-3504435","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1879","layer":2},{"info":"number node, value=2016","layer":2},{"info":"compute binary expreesion, left_input=1879, right_input=2016, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1395","layer":1},{"info":"number node, value=2154","layer":2},{"info":"compute unary expreesion, input=2154, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=109180","layer":1},{"info":"compute binary expreesion, left_input=-1395, right_input=109180, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-438576","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5323≒∊≴∭⊉5610)⨚(≴∭⊉6165⨕⋳)=≴∭⊉-3504435","reverse_text":"≴∭⊉-3504435=(≴∭⊉5323≒∊≴∭⊉5610)⨚(≴∭⊉6165⨕⋳)","cot":[{"info":"≴∭⊉5323≒∊≴∭⊉5610=≴∭⊉-4032","layer":1},{"info":"≴∭⊉6165⨕⋳=≴∭⊉633211","layer":1},{"info":"≴∭⊉-4032⨚≴∭⊉633211=≴∭⊉-3504435","layer":0}]}
+{"id":700,"expression_no_base_symbol":"$2070$⪚$1462$⊋$5287$≝⊿$5420$","expression":"≴∭⊉6015⪚≴∭⊉4156⊋≴∭⊉21262≝⊿≴∭⊉21542","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":110,"operation_count":3,"complexity_ratio":36.666666666666664,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2070,"base":7},"right_expr":{"type":"numeric_atoms","value":1462,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5287,"base":7},"right_expr":{"type":"numeric_atoms","value":5420,"base":7}}},"used_operators":["W4tP9CfskL","HrjLwUk87U","OKKcZfAt5B"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","12rbrZMWeM"],"result":"≴∭⊉-2610221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2070","layer":2},{"info":"number node, value=1462","layer":2},{"info":"compute binary expreesion, left_input=2070, right_input=1462, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=860","layer":1},{"info":"number node, value=5287","layer":2},{"info":"number node, value=5420","layer":2},{"info":"compute binary expreesion, left_input=5287, right_input=5420, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16660","layer":1},{"info":"compute binary expreesion, left_input=860, right_input=-16660, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-338654","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6015⪚≴∭⊉4156⊋≴∭⊉21262≝⊿≴∭⊉21542=≴∭⊉-2610221","reverse_text":"≴∭⊉-2610221=≴∭⊉6015⪚≴∭⊉4156⊋≴∭⊉21262≝⊿≴∭⊉21542","cot":[{"info":"≴∭⊉6015⪚≴∭⊉4156=≴∭⊉2336","layer":1},{"info":"≴∭⊉21262≝⊿≴∭⊉21542=≴∭⊉-66400","layer":1},{"info":"≴∭⊉2336⊋≴∭⊉-66400=≴∭⊉-2610221","layer":0}]}
+{"id":701,"expression_no_base_symbol":"$8046$⩘$6296$⋣⋖($5812$⫒⫫$7110$)","expression":"≴∭⊉32313⩘≴∭⊉24233⋣⋖(≴∭⊉22642⫒⫫≴∭⊉26505)","highest_n_order":4,"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":8046,"base":7},"right_expr":{"type":"numeric_atoms","value":6296,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5812,"base":7},"right_expr":{"type":"numeric_atoms","value":7110,"base":7}}},"used_operators":["J0M6qkBnIM","cHh1gJQ2o6","6Ko8hGgeMq"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8046","layer":2},{"info":"number node, value=6296","layer":2},{"info":"compute binary expreesion, left_input=8046, right_input=6296, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=5812","layer":2},{"info":"number node, value=7110","layer":2},{"info":"compute binary expreesion, left_input=5812, right_input=7110, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉32313⩘≴∭⊉24233⋣⋖(≴∭⊉22642⫒⫫≴∭⊉26505)=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉32313⩘≴∭⊉24233⋣⋖(≴∭⊉22642⫒⫫≴∭⊉26505)","cot":[{"info":"≴∭⊉32313⩘≴∭⊉24233=≴∭⊉316","layer":1},{"info":"≴∭⊉22642⫒⫫≴∭⊉26505=NaN","layer":1},{"info":"≴∭⊉316⋣⋖NaN=≴∭⊉316","layer":0}]}
+{"id":702,"expression_no_base_symbol":"($2045$≦↸$1025$)⩦($2846$⫦⪉$1963$)","expression":"(≴∭⊉5651≦↸≴∭⊉2663)⩦(≴∭⊉11204⫦⪉≴∭⊉5503)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2045,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2846,"base":7},"right_expr":{"type":"numeric_atoms","value":1963,"base":7}}},"used_operators":["0kmYd0q39Y","RygbFNSyEJ","wscyQdcy20"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉-305504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2045","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=2045, right_input=1025, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5459","layer":1},{"info":"number node, value=2846","layer":2},{"info":"number node, value=1963","layer":2},{"info":"compute binary expreesion, left_input=2846, right_input=1963, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-792","layer":1},{"info":"compute binary expreesion, left_input=-5459, right_input=-792, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-52385","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5651≦↸≴∭⊉2663)⩦(≴∭⊉11204⫦⪉≴∭⊉5503)=≴∭⊉-305504","reverse_text":"≴∭⊉-305504=(≴∭⊉5651≦���≴∭⊉2663)⩦(≴∭⊉11204⫦⪉≴∭⊉5503)","cot":[{"info":"≴∭⊉5651≦↸≴∭⊉2663=≴∭⊉-21626","layer":1},{"info":"≴∭⊉11204⫦⪉≴∭⊉5503=≴∭⊉-2211","layer":1},{"info":"≴∭⊉-21626⩦≴∭⊉-2211=≴∭⊉-305504","layer":0}]}
+{"id":703,"expression_no_base_symbol":"(⨝⨆$1998$)↫","expression":"(⨝⨆≴∭⊉5553)↫","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":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1998,"base":7}}},"used_operators":["uPb5QRN0te","bQ67fsrMVf"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","tifHPKVTfV"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1998","layer":2},{"info":"compute unary expreesion, input=1998, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1789","layer":1},{"info":"compute unary expreesion, input=1789, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⨝⨆≴∭⊉5553)↫=≴∭⊉316","reverse_text":"≴∭⊉316=(⨝⨆≴∭⊉5553)↫","cot":[{"info":"⨝⨆≴∭⊉5553=≴∭⊉5134","layer":1},{"info":"≴∭⊉5134↫=≴∭⊉316","layer":0}]}
+{"id":704,"expression_no_base_symbol":"⫛⫱⨽($5142$⇍⊗$7036$)","expression":"⫛⫱⨽(≴∭⊉20664⇍⊗≴∭⊉26341)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1195,"operation_count":2,"complexity_ratio":597.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5142,"base":7},"right_expr":{"type":"numeric_atoms","value":7036,"base":7}}},"used_operators":["DlLNRPXxWL","5uvYHDjeKN"],"dependent_operators":["rGHVDoGpnC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5142","layer":2},{"info":"number node, value=7036","layer":2},{"info":"compute binary expreesion, left_input=5142, right_input=7036, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⫛⫱⨽(≴∭⊉20664⇍⊗≴∭⊉26341)=≴∭⊉0","reverse_text":"≴∭⊉0=⫛⫱⨽(≴∭⊉20664⇍⊗≴∭⊉26341)","cot":[{"info":"≴∭⊉20664⇍⊗≴∭⊉26341=≴∭⊉-466","layer":1},{"info":"⫛⫱⨽≴∭⊉-466=≴∭⊉0","layer":0}]}
+{"id":705,"expression_no_base_symbol":"⋠∜($1535$↺$1511$)","expression":"⋠∜(≴∭⊉4322↺≴∭⊉4256)","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":1535,"base":7},"right_expr":{"type":"numeric_atoms","value":1511,"base":7}}},"used_operators":["ZJpFhNJr3x","7j4O788W3g"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉33165","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1535","layer":2},{"info":"number node, value=1511","layer":2},{"info":"compute binary expreesion, left_input=1535, right_input=1511, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1511","layer":1},{"info":"compute unary expreesion, input=1511, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=8328","layer":0}],"base":7,"result_base":7,"text":"⋠∜(≴∭⊉4322↺≴∭⊉4256)=≴∭⊉33165","reverse_text":"≴∭⊉33165=⋠∜(≴∭⊉4322↺≴∭⊉4256)","cot":[{"info":"≴∭⊉4322↺≴∭⊉4256=≴∭⊉4256","layer":1},{"info":"⋠∜≴∭⊉4256=≴∭⊉33165","layer":0}]}
+{"id":706,"expression_no_base_symbol":"-$1708$↡⊰⫅$4167$","expression":"-≴∭⊉4660↡⊰⫅≴∭⊉15102","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":58354,"operation_count":2,"complexity_ratio":29177.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1708,"base":7},"right_expr":{"type":"numeric_atoms","value":4167,"base":7}}},"used_operators":["t8gj7n24qd","VCtxkLNOzz"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≴∭⊉-33204","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":2},{"info":"number node, value=4167","layer":2},{"info":"compute binary expreesion, left_input=1708, right_input=4167, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8334","layer":1},{"info":"compute unary expreesion, input=8334, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8334","layer":0}],"base":7,"result_base":7,"text":"-≴∭⊉4660↡⊰⫅≴∭⊉15102=≴∭⊉-33204","reverse_text":"≴∭⊉-33204=-≴∭⊉4660↡⊰⫅≴∭⊉15102","cot":[{"info":"≴∭⊉4660↡⊰⫅≴∭⊉15102=≴∭⊉33204","layer":1},{"info":"-≴∭⊉33204=≴∭⊉-33204","layer":0}]}
+{"id":707,"expression_no_base_symbol":"$3054$⪝$3843$∝($3774$∕⩚$5196$)","expression":"≴∭⊉11622⪝≴∭⊉14130∝(≴∭⊉14001∕⩚≴∭⊉21102)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4214,"operation_count":3,"complexity_ratio":1404.6666666666667,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3054,"base":7},"right_expr":{"type":"numeric_atoms","value":3843,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3774,"base":7},"right_expr":{"type":"numeric_atoms","value":5196,"base":7}}},"used_operators":["cTDWOvIxvz","wicAB68Tmb","z9ffQ9n5Zr"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉464","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3054","layer":2},{"info":"number node, value=3843","layer":2},{"info":"compute binary expreesion, left_input=3054, right_input=3843, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=3774","layer":2},{"info":"number node, value=5196","layer":2},{"info":"compute binary expreesion, left_input=3774, right_input=5196, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3777","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=-3777, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=242","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11622⪝≴∭⊉14130∝(≴∭⊉14001∕⩚≴∭⊉21102)=≴∭⊉464","reverse_text":"≴∭⊉464=≴∭⊉11622⪝≴∭⊉14130∝(≴∭⊉14001∕⩚≴∭⊉21102)","cot":[{"info":"≴∭⊉11622⪝≴∭⊉14130=≴∭⊉456","layer":1},{"info":"≴∭⊉14001∕⩚≴∭⊉21102=≴∭⊉-14004","layer":1},{"info":"≴∭⊉456∝≴∭⊉-14004=≴∭⊉464","layer":0}]}
+{"id":708,"expression_no_base_symbol":"(↨⩢⫨$1153$)↞⋁($1230$⨒$1178$)","expression":"(↨⩢⫨≴∭⊉3235)↞⋁(≴∭⊉3405⨒≴∭⊉3302)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1153,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1230,"base":7},"right_expr":{"type":"numeric_atoms","value":1178,"base":7}}},"used_operators":["RqrPlJkxDo","Z5CJsN7DuW","y75s1iXyHd"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"compute unary expreesion, input=1153, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1230","layer":2},{"info":"number node, value=1178","layer":2},{"info":"compute binary expreesion, left_input=1230, right_input=1178, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7008","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7008, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(↨⩢⫨≴∭⊉3235)↞⋁(≴∭⊉3405⨒≴∭⊉3302)=≴∭⊉0","reverse_text":"≴∭⊉0=(↨⩢⫨≴∭⊉3235)↞⋁(≴∭⊉3405⨒≴∭⊉3302)","cot":[{"info":"↨⩢⫨≴∭⊉3235=≴∭⊉0","layer":1},{"info":"≴∭⊉3405⨒≴∭⊉3302=≴∭⊉-26301","layer":1},{"info":"≴∭⊉0↞⋁≴∭⊉-26301=≴∭⊉0","layer":0}]}
+{"id":709,"expression_no_base_symbol":"($1232$⇉⇱⇎)∌($1139$⋭≵$5524$)","expression":"(≴∭⊉3410⇉⇱⇎)∌(≴∭⊉3215⋭≵≴∭⊉22051)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72,"operation_count":3,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1232,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1139,"base":7},"right_expr":{"type":"numeric_atoms","value":5524,"base":7}}},"used_operators":["8cLx32lpNA","MRPaB8lBjK","jBncVCNhdl"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉-2646","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":2},{"info":"compute unary expreesion, input=1232, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1014","layer":1},{"info":"number node, value=1139","layer":2},{"info":"number node, value=5524","layer":2},{"info":"compute binary expreesion, left_input=1139, right_input=5524, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=5799","layer":1},{"info":"compute binary expreesion, left_input=-1014, right_input=5799, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1014","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3410⇉⇱⇎)∌(≴∭⊉3215⋭≵≴∭⊉22051)=≴∭⊉-2646","reverse_text":"≴∭⊉-2646=(≴∭⊉3410⇉⇱⇎)∌(≴∭⊉3215⋭≵≴∭⊉22051)","cot":[{"info":"≴∭⊉3410⇉⇱⇎=≴∭⊉-2646","layer":1},{"info":"≴∭⊉3215⋭≵≴∭⊉22051=≴∭⊉22623","layer":1},{"info":"≴∭⊉-2646∌≴∭⊉22623=≴∭⊉-2646","layer":0}]}
+{"id":710,"expression_no_base_symbol":"($7829$↡⊰⫅$8770$)⪡$1225$⊴$1212$","expression":"(≴∭⊉31553↡⊰⫅≴∭⊉34366)⪡≴∭⊉3400⊴≴∭⊉3351","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":125751,"operation_count":3,"complexity_ratio":41917.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":7829,"base":7},"right_expr":{"type":"numeric_atoms","value":8770,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1225,"base":7},"right_expr":{"type":"numeric_atoms","value":1212,"base":7}}},"used_operators":["oraRL2iQuh","VCtxkLNOzz","Nsiff2A1zJ"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7829","layer":2},{"info":"number node, value=8770","layer":2},{"info":"compute binary expreesion, left_input=7829, right_input=8770, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=17540","layer":1},{"info":"number node, value=1225","layer":2},{"info":"number node, value=1212","layer":2},{"info":"compute binary expreesion, left_input=1225, right_input=1212, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17540, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31553↡⊰⫅≴∭⊉34366)⪡≴∭⊉3400⊴≴∭⊉3351=NaN","reverse_text":"NaN=(≴∭⊉31553↡⊰⫅≴∭⊉34366)⪡≴∭⊉3400⊴≴∭⊉3351","cot":[{"info":"≴∭⊉31553↡⊰⫅≴∭⊉34366=≴∭⊉102065","layer":1},{"info":"≴∭⊉3400⊴≴∭⊉3351=NaN","layer":1},{"info":"≴∭⊉102065⪡NaN=NaN","layer":0}]}
+{"id":711,"expression_no_base_symbol":"($1034$⫔⩽⩺$6201$)≁↽≥($1870$/$1161$)","expression":"(≴∭⊉3005⫔⩽⩺≴∭⊉24036)≁↽≥(≴∭⊉5311/≴∭⊉3246)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1034,"base":7},"right_expr":{"type":"numeric_atoms","value":6201,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1870,"base":7},"right_expr":{"type":"numeric_atoms","value":1161,"base":7}}},"used_operators":["ncHt1X6cMc","i9eR4S00cU","XhwjNDsVaA"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1034","layer":2},{"info":"number node, value=6201","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=6201, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1870","layer":2},{"info":"number node, value=1161","layer":2},{"info":"compute binary expreesion, left_input=1870, right_input=1161, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3005⫔⩽⩺≴∭⊉24036)≁↽≥(≴∭⊉5311/≴∭⊉3246)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉3005⫔⩽⩺≴∭⊉24036)≁↽≥(≴∭⊉5311/≴∭⊉3246)","cot":[{"info":"≴∭⊉3005⫔⩽⩺≴∭⊉24036=NaN","layer":1},{"info":"≴∭⊉5311/≴∭⊉3246=≴∭⊉1","layer":1},{"info":"NaN≁↽≥≴∭⊉1=≴∭⊉0","layer":0}]}
+{"id":712,"expression_no_base_symbol":"(⨵≀≌$4028$)≎⪠($5067$⨀⨒)","expression":"(⨵≀≌≴∭⊉14513)≎⪠(≴∭⊉20526⨀⨒)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19155,"operation_count":3,"complexity_ratio":6385.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4028,"base":7}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":5067,"base":7}}},"used_operators":["aNhz54LH3e","srAu1WTS94","j6NVkjMzuk"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4028","layer":2},{"info":"compute unary expreesion, input=4028, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12084","layer":1},{"info":"number node, value=5067","layer":2},{"info":"compute unary expreesion, input=5067, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=67670","layer":1},{"info":"compute binary expreesion, left_input=-12084, right_input=67670, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(⨵≀≌≴∭⊉14513)≎⪠(≴∭⊉20526⨀⨒)=≴∭⊉111010","reverse_text":"≴∭⊉111010=(⨵≀≌≴∭⊉14513)≎⪠(≴∭⊉20526⨀⨒)","cot":[{"info":"⨵≀≌≴∭⊉14513=≴∭⊉-50142","layer":1},{"info":"≴∭⊉20526⨀⨒=≴∭⊉401201","layer":1},{"info":"≴∭⊉-50142≎⪠≴∭⊉401201=≴∭⊉111010","layer":0}]}
+{"id":713,"expression_no_base_symbol":"⨩∲⋌($1211$∳⫺$4881$)","expression":"⨩∲⋌(≴∭⊉3350∳⫺≴∭⊉20142)","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":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1211,"base":7},"right_expr":{"type":"numeric_atoms","value":4881,"base":7}}},"used_operators":["aSik1wnThz","AzXXKTstlj"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"≴∭⊉-16316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":2},{"info":"number node, value=4881","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=4881, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-4856","layer":1},{"info":"compute unary expreesion, input=-4856, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4619","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌(≴∭⊉3350∳⫺≴∭⊉20142)=≴∭⊉-16316","reverse_text":"≴∭⊉-16316=⨩∲⋌(≴∭⊉3350∳⫺≴∭⊉20142)","cot":[{"info":"≴∭⊉3350∳⫺≴∭⊉20142=≴∭⊉-20105","layer":1},{"info":"⨩∲⋌≴∭⊉-20105=≴∭⊉-16316","layer":0}]}
+{"id":714,"expression_no_base_symbol":"(⇖⫷⫕$4944$)⫒⫫($4327$⪄$3080$)","expression":"(⇖⫷⫕≴∭⊉20262)⫒⫫(≴∭⊉15421⪄≴∭⊉11660)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":901,"operation_count":3,"complexity_ratio":300.3333333333333,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":4944,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4327,"base":7},"right_expr":{"type":"numeric_atoms","value":3080,"base":7}}},"used_operators":["6Ko8hGgeMq","UHmRx3INFg","SUmda5xLS4"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":2},{"info":"compute unary expreesion, input=4944, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=4327","layer":2},{"info":"number node, value=3080","layer":2},{"info":"compute binary expreesion, left_input=4327, right_input=3080, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-648805","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-648805, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕≴∭⊉20262)⫒⫫(≴∭⊉15421⪄≴∭⊉11660)=NaN","reverse_text":"NaN=(⇖⫷⫕≴∭⊉20262)⫒⫫(≴∭⊉15421⪄≴∭⊉11660)","cot":[{"info":"⇖⫷⫕≴∭⊉20262=≴∭⊉11141","layer":1},{"info":"≴∭⊉15421⪄≴∭⊉11660=≴∭⊉-5341363","layer":1},{"info":"≴∭⊉11141⫒⫫≴∭⊉-5341363=NaN","layer":0}]}
+{"id":715,"expression_no_base_symbol":"($5386$≎⊠⪸$4429$)⩣⫁∢(⩏⊷≩$1239$)","expression":"(≴∭⊉21463≎⊠⪸≴∭⊉15625)⩣⫁∢(⩏⊷≩≴∭⊉3420)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":305,"operation_count":3,"complexity_ratio":101.66666666666667,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5386,"base":7},"right_expr":{"type":"numeric_atoms","value":4429,"base":7}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1239,"base":7}}},"used_operators":["JDUIKTTSIa","bJkvcejdHO","uOZ1tnYMDE"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","12rbrZMWeM"],"result":"≴∭⊉-32463506","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5386","layer":2},{"info":"number node, value=4429","layer":2},{"info":"compute binary expreesion, left_input=5386, right_input=4429, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1394501","layer":1},{"info":"number node, value=1239","layer":2},{"info":"compute unary expreesion, input=1239, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2177","layer":1},{"info":"compute binary expreesion, left_input=1394501, right_input=2177, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2788841","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21463≎⊠⪸≴∭⊉15625)⩣⫁∢(⩏⊷≩≴∭⊉3420)=≴∭⊉-32463506","reverse_text":"≴∭⊉-32463506=(≴∭⊉21463≎⊠⪸≴∭⊉15625)⩣⫁∢(⩏⊷≩≴∭⊉3420)","cot":[{"info":"≴∭⊉21463≎⊠⪸≴∭⊉15625=≴∭⊉14565413","layer":1},{"info":"⩏⊷≩≴∭⊉3420=≴∭⊉6230","layer":1},{"info":"≴∭⊉14565413⩣⫁∢≴∭⊉6230=≴∭⊉-32463506","layer":0}]}
+{"id":716,"expression_no_base_symbol":"⋗⩴⪓($4862$⪒$5126$)","expression":"⋗⩴⪓(≴∭⊉20114⪒≴∭⊉20642)","highest_n_order":3,"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":4862,"base":7},"right_expr":{"type":"numeric_atoms","value":5126,"base":7}}},"used_operators":["nOKPl9n5zu","f6k1SAg4EE"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉235055","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4862","layer":2},{"info":"number node, value=5126","layer":2},{"info":"compute binary expreesion, left_input=4862, right_input=5126, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9988","layer":1},{"info":"compute unary expreesion, input=-9988, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=42572","layer":0}],"base":7,"result_base":7,"text":"⋗⩴⪓(≴∭⊉20114⪒≴∭⊉20642)=≴∭⊉235055","reverse_text":"≴∭⊉235055=⋗⩴⪓(≴∭⊉20114⪒≴∭⊉20642)","cot":[{"info":"≴∭⊉20114⪒≴∭⊉20642=≴∭⊉-41056","layer":1},{"info":"⋗⩴⪓≴∭⊉-41056=≴∭⊉235055","layer":0}]}
+{"id":717,"expression_no_base_symbol":"$1836$⩵∡$1961$↱(⇨$8487$)","expression":"≴∭⊉5232⩵∡≴∭⊉5501↱(⇨≴∭⊉33513)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1836,"base":7},"right_expr":{"type":"numeric_atoms","value":1961,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":8487,"base":7}}},"used_operators":["SR5kFfdi6N","Y7wcNGrDQJ","G9tJMlZ94a"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","NTOWxs364D","glklzrTFfD","tifHPKVTfV","k8jYdgA6NY"],"result":"≴∭⊉63454","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1836","layer":2},{"info":"number node, value=1961","layer":2},{"info":"compute binary expreesion, left_input=1836, right_input=1961, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1832","layer":1},{"info":"number node, value=8487","layer":2},{"info":"compute unary expreesion, input=8487, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1832, right_input=0, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15670","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5232⩵∡≴∭⊉5501↱(⇨≴∭⊉33513)=≴∭⊉63454","reverse_text":"≴∭⊉63454=≴∭⊉5232⩵∡≴∭⊉5501↱(⇨≴∭⊉33513)","cot":[{"info":"≴∭⊉5232⩵∡≴∭⊉5501=≴∭⊉-5225","layer":1},{"info":"⇨≴∭⊉33513=≴∭⊉0","layer":1},{"info":"≴∭⊉-5225↱≴∭⊉0=≴∭⊉63454","layer":0}]}
+{"id":718,"expression_no_base_symbol":"($4201$⫦⪉$1986$)∳⫺($3334$⫸⊐$1883$)","expression":"(≴∭⊉15151⫦⪉≴∭⊉5535)∳⫺(≴∭⊉12502⫸⊐≴∭⊉5330)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4201,"base":7},"right_expr":{"type":"numeric_atoms","value":1986,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3334,"base":7},"right_expr":{"type":"numeric_atoms","value":1883,"base":7}}},"used_operators":["AzXXKTstlj","wscyQdcy20","mqXw5SEYmG"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉-146564","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4201","layer":2},{"info":"number node, value=1986","layer":2},{"info":"compute binary expreesion, left_input=4201, right_input=1986, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3502","layer":1},{"info":"number node, value=3334","layer":2},{"info":"number node, value=1883","layer":2},{"info":"compute binary expreesion, left_input=3334, right_input=1883, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7407","layer":1},{"info":"compute binary expreesion, left_input=-3502, right_input=7407, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-28760","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15151⫦⪉≴∭⊉5535)∳⫺(≴∭⊉12502⫸⊐≴∭⊉5330)=≴∭⊉-146564","reverse_text":"≴∭⊉-146564=(≴∭⊉15151⫦⪉≴∭⊉5535)∳⫺(≴∭⊉12502⫸⊐≴∭⊉5330)","cot":[{"info":"≴∭⊉15151⫦⪉≴∭⊉5535=≴∭⊉-13132","layer":1},{"info":"≴∭⊉12502⫸⊐≴∭⊉5330=≴∭⊉30411","layer":1},{"info":"≴∭⊉-13132∳⫺≴∭⊉30411=≴∭⊉-146564","layer":0}]}
+{"id":719,"expression_no_base_symbol":"($2669$⊭↱$2417$)⨸($1030$⊉≛↸$1447$)","expression":"(≴∭⊉10532⊭↱≴∭⊉10022)⨸(≴∭⊉3001⊉≛↸≴∭⊉4135)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":618,"operation_count":3,"complexity_ratio":206.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2669,"base":7},"right_expr":{"type":"numeric_atoms","value":2417,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":1447,"base":7}}},"used_operators":["KmoU8R5UQR","COABgblf1C","DZ8iAZOCBD"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉2624","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2669","layer":2},{"info":"number node, value=2417","layer":2},{"info":"compute binary expreesion, left_input=2669, right_input=2417, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-499","layer":1},{"info":"number node, value=1030","layer":2},{"info":"number node, value=1447","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=1447, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2060","layer":1},{"info":"compute binary expreesion, left_input=-499, right_input=2060, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=998","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10532⊭↱≴∭⊉10022)⨸(≴∭⊉3001⊉≛↸≴∭⊉4135)=≴∭⊉2624","reverse_text":"≴∭⊉2624=(≴∭⊉10532⊭↱≴∭⊉10022)⨸(≴∭⊉3001⊉≛↸≴∭⊉4135)","cot":[{"info":"≴∭⊉10532⊭↱≴∭⊉10022=≴∭⊉-1312","layer":1},{"info":"≴∭⊉3001⊉≛↸≴∭⊉4135=≴∭⊉6002","layer":1},{"info":"≴∭⊉-1312⨸≴∭⊉6002=≴∭⊉2624","layer":0}]}
+{"id":720,"expression_no_base_symbol":"($2101$⋷$3396$)⋾⨃∁$4065$↤⩊$3738$","expression":"(≴∭⊉6061⋷≴∭⊉12621)⋾⨃∁≴∭⊉14565↤⩊≴∭⊉13620","highest_n_order":4,"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":2101,"base":7},"right_expr":{"type":"numeric_atoms","value":3396,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4065,"base":7},"right_expr":{"type":"numeric_atoms","value":3738,"base":7}}},"used_operators":["212REbPD9h","23Mk6UjR3U","13rbtpv6ld"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2101","layer":2},{"info":"number node, value=3396","layer":2},{"info":"compute binary expreesion, left_input=2101, right_input=3396, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4691","layer":1},{"info":"number node, value=4065","layer":2},{"info":"number node, value=3738","layer":2},{"info":"compute binary expreesion, left_input=4065, right_input=3738, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4691, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6061⋷≴∭⊉12621)⋾⨃∁≴∭⊉14565↤⩊≴∭⊉13620=NaN","reverse_text":"NaN=(≴∭⊉6061⋷≴∭⊉12621)⋾⨃∁≴∭⊉14565↤⩊≴∭⊉13620","cot":[{"info":"≴∭⊉6061⋷≴∭⊉12621=≴∭⊉16451","layer":1},{"info":"≴∭⊉14565↤⩊≴∭⊉13620=NaN","layer":1},{"info":"≴∭⊉16451⋾⨃∁NaN=NaN","layer":0}]}
+{"id":721,"expression_no_base_symbol":"($8652$⨔≚≋$1663$)⋥⋵⩄(⩒∊$2894$)","expression":"(≴∭⊉34140⨔≚≋≴∭⊉4564)⋥⋵⩄(⩒∊≴∭⊉11303)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8652,"base":7},"right_expr":{"type":"numeric_atoms","value":1663,"base":7}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2894,"base":7}}},"used_operators":["7t3wd0Fuz7","Z57zeUYC9z","qazvmhNBbN"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8652","layer":2},{"info":"number node, value=1663","layer":2},{"info":"compute binary expreesion, left_input=8652, right_input=1663, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2894","layer":2},{"info":"compute unary expreesion, input=2894, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5031","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=5031, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉34140⨔≚≋≴∭⊉4564)⋥⋵⩄(⩒∊≴∭⊉11303)=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉34140⨔≚≋≴∭⊉4564)⋥⋵⩄(⩒∊≴∭⊉11303)","cot":[{"info":"≴∭⊉34140⨔≚≋≴∭⊉4564=≴∭⊉40532","layer":1},{"info":"⩒∊≴∭⊉11303=≴∭⊉20445","layer":1},{"info":"≴∭⊉40532⋥⋵⩄≴∭⊉20445=≴∭⊉221","layer":0}]}
+{"id":722,"expression_no_base_symbol":"($3328$⊧↖)⨿(⪸$2024$)","expression":"(≴∭⊉12463⊧↖)⨿(⪸≴∭⊉5621)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3626,"operation_count":3,"complexity_ratio":1208.6666666666667,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":3328,"base":7}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2024,"base":7}}},"used_operators":["abYXlopdE0","EKiFHuOFxO","86A5ENbKR9"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉-634","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3328","layer":2},{"info":"compute unary expreesion, input=3328, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=66470600","layer":1},{"info":"number node, value=2024","layer":2},{"info":"compute unary expreesion, input=2024, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-34199","layer":1},{"info":"compute binary expreesion, left_input=66470600, right_input=-34199, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12463⊧↖)⨿(⪸≴∭⊉5621)=≴∭⊉-634","reverse_text":"≴∭⊉-634=(≴∭⊉12463⊧↖)⨿(⪸≴∭⊉5621)","cot":[{"info":"≴∭⊉12463⊧↖=≴∭⊉1434663560","layer":1},{"info":"⪸≴∭⊉5621=≴∭⊉-201464","layer":1},{"info":"≴∭⊉1434663560⨿≴∭⊉-201464=≴∭⊉-634","layer":0}]}
+{"id":723,"expression_no_base_symbol":"↨(↩⪖$1923$)","expression":"↨(↩⪖≴∭⊉5415)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":168,"operation_count":2,"complexity_ratio":84.0,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1923,"base":7}}},"used_operators":["jiX4gk2v2Q","fG6uBQFnGz"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1923","layer":2},{"info":"compute unary expreesion, input=1923, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-14520","layer":1},{"info":"compute unary expreesion, input=-14520, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↨(↩⪖≴∭⊉5415)=NaN","reverse_text":"NaN=↨(↩⪖≴∭⊉5415)","cot":[{"info":"↩⪖≴∭⊉5415=≴∭⊉-60222","layer":1},{"info":"↨≴∭⊉-60222=NaN","layer":0}]}
+{"id":724,"expression_no_base_symbol":"⨛$4802$⪨⊡$4094$","expression":"⨛≴∭⊉20000⪨⊡≴∭⊉14636","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":4802,"base":7},"right_expr":{"type":"numeric_atoms","value":4094,"base":7}}},"used_operators":["CoMdbyAt7R","kuIXHzHcAH"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4802","layer":2},{"info":"number node, value=4094","layer":2},{"info":"compute binary expreesion, left_input=4802, right_input=4094, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨛≴∭⊉20000⪨⊡≴∭⊉14636=NaN","reverse_text":"NaN=⨛≴∭⊉20000⪨⊡≴∭⊉14636","cot":[{"info":"≴∭⊉20000⪨⊡≴∭⊉14636=≴∭⊉0","layer":1},{"info":"⨛≴∭⊉0=NaN","layer":0}]}
+{"id":725,"expression_no_base_symbol":"(⪲⇎$2076$)⊾⪯⋞$2286$⋛$8516$","expression":"(⪲⇎≴∭⊉6024)⊾⪯⋞≴∭⊉6444⋛≴∭⊉33554","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":320,"operation_count":3,"complexity_ratio":106.66666666666667,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2076,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2286,"base":7},"right_expr":{"type":"numeric_atoms","value":8516,"base":7}}},"used_operators":["HK0tfVPux8","XPYlsWDdGa","YbUVn0Rbpy"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉-2251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":2},{"info":"compute unary expreesion, input=2076, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4152","layer":1},{"info":"number node, value=2286","layer":2},{"info":"number node, value=8516","layer":2},{"info":"compute binary expreesion, left_input=2286, right_input=8516, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-111618","layer":1},{"info":"compute binary expreesion, left_input=4152, right_input=-111618, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎≴∭⊉6024)⊾⪯⋞≴∭⊉6444⋛≴∭⊉33554=≴∭⊉-2251","reverse_text":"≴∭⊉-2251=(⪲⇎≴∭⊉6024)⊾⪯⋞≴∭⊉6444⋛≴∭⊉33554","cot":[{"info":"⪲⇎≴∭⊉6024=≴∭⊉15051","layer":1},{"info":"≴∭⊉6444⋛≴∭⊉33554=≴∭⊉-643263","layer":1},{"info":"≴∭⊉15051⊾⪯⋞≴∭⊉-643263=≴∭⊉-2251","layer":0}]}
+{"id":726,"expression_no_base_symbol":"$1277$⪛$3500$⩢≌","expression":"≴∭⊉3503⪛≴∭⊉13130⩢≌","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":236,"operation_count":2,"complexity_ratio":118.0,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1277,"base":7},"right_expr":{"type":"numeric_atoms","value":3500,"base":7}}},"used_operators":["D617RFjZIq","uFcxV4UQCh"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1277","layer":2},{"info":"number node, value=3500","layer":2},{"info":"compute binary expreesion, left_input=1277, right_input=3500, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1277","layer":1},{"info":"compute unary expreesion, input=1277, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3503⪛≴∭⊉13130⩢≌=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉3503⪛≴∭⊉13130⩢≌","cot":[{"info":"≴∭⊉3503⪛≴∭⊉13130=≴∭⊉3503","layer":1},{"info":"≴∭⊉3503⩢≌=≴∭⊉221","layer":0}]}
+{"id":727,"expression_no_base_symbol":"($5232$⨔≚≋$1341$)⨑⩅≇(⋠∜$5177$)","expression":"(≴∭⊉21153⨔≚≋≴∭⊉3624)⨑⩅≇(⋠∜≴∭⊉21044)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23115,"operation_count":3,"complexity_ratio":7705.0,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5232,"base":7},"right_expr":{"type":"numeric_atoms","value":1341,"base":7}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":5177,"base":7}}},"used_operators":["h92wMvzauj","Z57zeUYC9z","ZJpFhNJr3x"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"≴∭⊉-152226","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5232","layer":2},{"info":"number node, value=1341","layer":2},{"info":"compute binary expreesion, left_input=5232, right_input=1341, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=5177","layer":2},{"info":"compute unary expreesion, input=5177, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=22992","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=22992, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-29616","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21153⨔≚≋≴∭⊉3624)⨑⩅≇(⋠∜≴∭⊉21044)=≴∭⊉-152226","reverse_text":"≴∭⊉-152226=(≴∭⊉21153⨔≚≋≴∭⊉3624)⨑⩅≇(⋠∜≴∭⊉21044)","cot":[{"info":"≴∭⊉21153⨔≚≋≴∭⊉3624=≴∭⊉40532","layer":1},{"info":"⋠∜≴∭⊉21044=≴∭⊉124014","layer":1},{"info":"≴∭⊉40532⨑⩅≇≴∭⊉124014=≴∭⊉-152226","layer":0}]}
+{"id":728,"expression_no_base_symbol":"$3790$⪥$2708$*(∓⪦$1089$)","expression":"≴∭⊉14023⪥≴∭⊉10616*(∓⪦≴∭⊉3114)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":731,"operation_count":3,"complexity_ratio":243.66666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3790,"base":7},"right_expr":{"type":"numeric_atoms","value":2708,"base":7}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1089,"base":7}}},"used_operators":["9HNa5Wba9A","QbnwKVWMIQ","D309nIvmXG"],"dependent_operators":["W4YGzv6Whe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≴∭⊉222452124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":2},{"info":"number node, value=2708","layer":2},{"info":"compute binary expreesion, left_input=3790, right_input=2708, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19812","layer":1},{"info":"number node, value=1089","layer":2},{"info":"compute unary expreesion, input=1089, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=681","layer":1},{"info":"compute binary expreesion, left_input=19812, right_input=681, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13491972","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14023⪥≴∭⊉10616*(∓⪦≴∭⊉3114)=≴∭⊉222452124","reverse_text":"≴∭⊉222452124=≴∭⊉14023⪥≴∭⊉10616*(∓⪦≴∭⊉3114)","cot":[{"info":"≴∭⊉14023⪥≴∭⊉10616=≴∭⊉111522","layer":1},{"info":"∓⪦≴∭⊉3114=≴∭⊉1662","layer":1},{"info":"≴∭⊉111522*≴∭⊉1662=≴∭⊉222452124","layer":0}]}
+{"id":729,"expression_no_base_symbol":"$2057$⫣⪄⊒$2834$∴($1538$∖$3857$)","expression":"≴∭⊉5666⫣⪄⊒≴∭⊉11156∴(≴∭⊉4325∖≴∭⊉14150)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":526,"operation_count":3,"complexity_ratio":175.33333333333334,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2057,"base":7},"right_expr":{"type":"numeric_atoms","value":2834,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1538,"base":7},"right_expr":{"type":"numeric_atoms","value":3857,"base":7}}},"used_operators":["hrf7POJlIJ","RabNbG55vr","tXD093vOjl"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≴∭⊉-133225","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":2},{"info":"number node, value=2834","layer":2},{"info":"compute binary expreesion, left_input=2057, right_input=2834, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13402","layer":1},{"info":"number node, value=1538","layer":2},{"info":"number node, value=3857","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=3857, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-13402, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-25156","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5666⫣⪄⊒≴∭⊉11156∴(≴∭⊉4325∖≴∭⊉14150)=≴∭⊉-133225","reverse_text":"≴∭⊉-133225=≴∭⊉5666⫣⪄⊒≴∭⊉11156∴(≴∭⊉4325∖≴∭⊉14150)","cot":[{"info":"≴∭⊉5666⫣⪄⊒≴∭⊉11156=≴∭⊉-54034","layer":1},{"info":"≴∭⊉4325∖≴∭⊉14150=≴∭⊉0","layer":1},{"info":"≴∭⊉-54034∴≴∭⊉0=≴∭⊉-133225","layer":0}]}
+{"id":730,"expression_no_base_symbol":"↣≠⋷($4195$⨑≵⋬$1336$)","expression":"↣≠⋷(≴∭⊉15142⨑≵⋬≴∭⊉3616)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4195,"base":7},"right_expr":{"type":"numeric_atoms","value":1336,"base":7}}},"used_operators":["Asc51vEJeQ","XnXgA4xnOs"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4195","layer":2},{"info":"number node, value=1336","layer":2},{"info":"compute binary expreesion, left_input=4195, right_input=1336, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=13002","layer":1},{"info":"compute unary expreesion, input=13002, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷(≴∭⊉15142⨑≵⋬≴∭⊉3616)=NaN","reverse_text":"NaN=↣≠⋷(≴∭⊉15142⨑≵⋬≴∭⊉3616)","cot":[{"info":"≴∭⊉15142⨑≵⋬≴∭⊉3616=≴∭⊉52623","layer":1},{"info":"↣≠⋷≴∭⊉52623=NaN","layer":0}]}
+{"id":731,"expression_no_base_symbol":"(⇾⩊⇾$3209$)⨰$6746$⫁$6348$","expression":"(⇾⩊⇾≴∭⊉12233)⨰≴∭⊉25445⫁≴∭⊉24336","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":115,"operation_count":3,"complexity_ratio":38.333333333333336,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3209,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6746,"base":7},"right_expr":{"type":"numeric_atoms","value":6348,"base":7}}},"used_operators":["eewbuw0ToL","bx9Z9DAK5y","0ajvFaJAv0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≴∭⊉-205356","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":2},{"info":"compute unary expreesion, input=3209, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-35367","layer":1},{"info":"number node, value=6746","layer":2},{"info":"number node, value=6348","layer":2},{"info":"compute binary expreesion, left_input=6746, right_input=6348, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-35367, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-35517","layer":0}],"base":7,"result_base":7,"text":"(⇾⩊⇾≴∭⊉12233)⨰≴∭⊉25445⫁≴∭⊉24336=≴∭⊉-205356","reverse_text":"≴∭⊉-205356=(⇾⩊⇾≴∭⊉12233)⨰≴∭⊉25445⫁≴∭⊉24336","cot":[{"info":"⇾⩊⇾≴∭⊉12233=≴∭⊉-205053","layer":1},{"info":"≴∭⊉25445⫁≴∭⊉24336=≴∭⊉316","layer":1},{"info":"≴∭⊉-205053⨰≴∭⊉316=≴∭⊉-205356","layer":0}]}
+{"id":732,"expression_no_base_symbol":"⊈($2711$+⪬∐$7603$)","expression":"⊈(≴∭⊉10622+⪬∐≴∭⊉31111)","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":2711,"base":7},"right_expr":{"type":"numeric_atoms","value":7603,"base":7}}},"used_operators":["RHru8klgy8","2GS7woTJqF"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","D4vGDi5EA2"],"result":"≴∭⊉32130","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":2},{"info":"number node, value=7603","layer":2},{"info":"compute binary expreesion, left_input=2711, right_input=7603, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-8133","layer":1},{"info":"compute unary expreesion, input=-8133, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=7959","layer":0}],"base":7,"result_base":7,"text":"⊈(≴∭⊉10622+⪬∐≴∭⊉31111)=≴∭⊉32130","reverse_text":"≴∭⊉32130=⊈(≴∭⊉10622+⪬∐≴∭⊉31111)","cot":[{"info":"≴∭⊉10622+⪬∐≴∭⊉31111=≴∭⊉-32466","layer":1},{"info":"⊈≴∭⊉-32466=≴∭⊉32130","layer":0}]}
+{"id":733,"expression_no_base_symbol":"$1743$↤⩊$3046$∊∟⩊($3419$⇤$6711$)","expression":"≴∭⊉5040↤⩊≴∭⊉11611∊∟⩊(≴∭⊉12653⇤≴∭⊉25365)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":192,"operation_count":3,"complexity_ratio":64.0,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1743,"base":7},"right_expr":{"type":"numeric_atoms","value":3046,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3419,"base":7},"right_expr":{"type":"numeric_atoms","value":6711,"base":7}}},"used_operators":["ddLRYrp01A","13rbtpv6ld","YSKBFp38Pu"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉-256236","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=1743, right_input=3046, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=3419","layer":2},{"info":"number node, value=6711","layer":2},{"info":"compute binary expreesion, left_input=3419, right_input=6711, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-47802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-47802, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-47802","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5040↤⩊≴∭⊉11611∊∟⩊(≴∭⊉12653⇤≴∭⊉25365)=≴∭⊉-256236","reverse_text":"≴∭⊉-256236=≴∭⊉5040↤⩊≴∭⊉11611∊∟⩊(≴∭⊉12653⇤≴∭⊉25365)","cot":[{"info":"≴∭⊉5040↤⩊≴∭⊉11611=NaN","layer":1},{"info":"≴∭⊉12653⇤≴∭⊉25365=≴∭⊉-256236","layer":1},{"info":"NaN∊∟⩊≴∭⊉-256236=≴∭⊉-256236","layer":0}]}
+{"id":734,"expression_no_base_symbol":"(⩪∧⨌$2383$)⨽(⇵⪽$1472$)","expression":"(⩪∧⨌≴∭⊉6643)⨽(⇵⪽≴∭⊉4202)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23848,"operation_count":3,"complexity_ratio":7949.333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2383,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1472,"base":7}}},"used_operators":["8HhzD0ZcuI","6iOiAJX1F8","ZGCBLdVRRX"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2383","layer":2},{"info":"compute unary expreesion, input=2383, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=23830","layer":1},{"info":"number node, value=1472","layer":2},{"info":"compute unary expreesion, input=1472, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=23830, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩪∧⨌≴∭⊉6643)⨽(⇵⪽≴∭⊉4202)=NaN","reverse_text":"NaN=(⩪∧⨌≴∭⊉6643)⨽(⇵⪽≴∭⊉4202)","cot":[{"info":"⩪∧⨌≴∭⊉6643=≴∭⊉126322","layer":1},{"info":"⇵⪽≴∭⊉4202=NaN","layer":1},{"info":"≴∭⊉126322⨽NaN=NaN","layer":0}]}
+{"id":735,"expression_no_base_symbol":"$1520$⋳⪒$5000$⩹$2403$⪟⇏$2453$","expression":"≴∭⊉4301⋳⪒≴∭⊉20402⩹≴∭⊉10002⪟⇏≴∭⊉10103","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1520,"base":7},"right_expr":{"type":"numeric_atoms","value":5000,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2403,"base":7},"right_expr":{"type":"numeric_atoms","value":2453,"base":7}}},"used_operators":["2Wsdkap16l","12rbrZMWeM","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≴∭⊉-3","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1520","layer":2},{"info":"number node, value=5000","layer":2},{"info":"compute binary expreesion, left_input=1520, right_input=5000, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2247","layer":1},{"info":"number node, value=2403","layer":2},{"info":"number node, value=2453","layer":2},{"info":"compute binary expreesion, left_input=2403, right_input=2453, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-2247, right_input=-1, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-3","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4301⋳⪒≴∭⊉20402⩹≴∭⊉10002⪟⇏≴∭⊉10103=≴∭⊉-3","reverse_text":"≴∭⊉-3=≴∭⊉4301⋳⪒≴∭⊉20402⩹≴∭⊉10002⪟⇏≴∭⊉10103","cot":[{"info":"≴∭⊉4301⋳⪒≴∭⊉20402=≴∭⊉-6360","layer":1},{"info":"≴∭⊉10002⪟⇏≴∭⊉10103=≴∭⊉-1","layer":1},{"info":"≴∭⊉-6360⩹≴∭⊉-1=≴∭⊉-3","layer":0}]}
+{"id":736,"expression_no_base_symbol":"$1219$⪬$3857$≎⪠($5949$⫦⪉$2361$)","expression":"≴∭⊉3361⪬≴∭⊉14150≎⪠(≴∭⊉23226⫦⪉≴∭⊉6612)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19697,"operation_count":3,"complexity_ratio":6565.666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1219,"base":7},"right_expr":{"type":"numeric_atoms","value":3857,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5949,"base":7},"right_expr":{"type":"numeric_atoms","value":2361,"base":7}}},"used_operators":["aNhz54LH3e","Ez1Nq5fNfI","wscyQdcy20"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"number node, value=3857","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=3857, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=5949","layer":2},{"info":"number node, value=2361","layer":2},{"info":"compute binary expreesion, left_input=5949, right_input=2361, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6998","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-6998, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3361⪬≴∭⊉14150≎⪠(≴∭⊉23226⫦⪉≴∭⊉6612)=≴∭⊉111010","reverse_text":"≴∭⊉111010=≴∭⊉3361⪬≴∭⊉14150≎⪠(≴∭⊉23226⫦⪉≴∭⊉6612)","cot":[{"info":"≴∭⊉3361⪬≴∭⊉14150=≴∭⊉3412","layer":1},{"info":"≴∭⊉23226⫦⪉≴∭⊉6612=≴∭⊉-26255","layer":1},{"info":"≴∭⊉3412≎⪠≴∭⊉-26255=≴∭⊉111010","layer":0}]}
+{"id":737,"expression_no_base_symbol":"($1338$⨟⋌⩍$7188$)⋛$3188$≦↸$1395$","expression":"(≴∭⊉3621⨟⋌⩍≴∭⊉26646)⋛≴∭⊉12203≦↸≴∭⊉4032","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1338,"base":7},"right_expr":{"type":"numeric_atoms","value":7188,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3188,"base":7},"right_expr":{"type":"numeric_atoms","value":1395,"base":7}}},"used_operators":["YbUVn0Rbpy","rGHVDoGpnC","RygbFNSyEJ"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Tcnh7f0tEr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉-132222","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1338","layer":2},{"info":"number node, value=7188","layer":2},{"info":"compute binary expreesion, left_input=1338, right_input=7188, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3188","layer":2},{"info":"number node, value=1395","layer":2},{"info":"compute binary expreesion, left_input=3188, right_input=1395, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8485","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8485, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-24810","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3621⨟⋌⩍≴∭⊉26646)⋛≴∭⊉12203≦↸≴∭⊉4032=≴∭⊉-132222","reverse_text":"≴∭⊉-132222=(≴∭⊉3621⨟⋌⩍≴∭⊉26646)⋛≴∭⊉12203≦↸≴∭⊉4032","cot":[{"info":"≴∭⊉3621⨟⋌⩍≴∭⊉26646=NaN","layer":1},{"info":"≴∭⊉12203≦↸≴∭⊉4032=≴∭⊉-33511","layer":1},{"info":"NaN⋛≴∭⊉-33511=≴∭⊉-132222","layer":0}]}
+{"id":738,"expression_no_base_symbol":"($1994$⩖⊿$2175$)∴($1839$⨘)","expression":"(≴∭⊉5546⩖⊿≴∭⊉6225)∴(≴∭⊉5235⨘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1890,"operation_count":3,"complexity_ratio":630.0,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1994,"base":7},"right_expr":{"type":"numeric_atoms","value":2175,"base":7}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1839,"base":7}}},"used_operators":["hrf7POJlIJ","RZ5CV9rWsJ","ljcfZBUpm8"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"≴∭⊉113164","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":2},{"info":"number node, value=2175","layer":2},{"info":"compute binary expreesion, left_input=1994, right_input=2175, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9342","layer":1},{"info":"number node, value=1839","layer":2},{"info":"compute unary expreesion, input=1839, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-13648","layer":1},{"info":"compute binary expreesion, left_input=9342, right_input=-13648, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=20332","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5546⩖⊿≴∭⊉6225)∴(≴∭⊉5235⨘)=≴∭⊉113164","reverse_text":"≴∭⊉113164=(≴∭⊉5546⩖⊿≴∭⊉6225)∴(≴∭⊉5235⨘)","cot":[{"info":"≴∭⊉5546⩖⊿≴∭⊉6225=≴∭⊉36144","layer":1},{"info":"≴∭⊉5235⨘=≴∭⊉-54535","layer":1},{"info":"≴∭⊉36144∴≴∭⊉-54535=≴∭⊉113164","layer":0}]}
+{"id":739,"expression_no_base_symbol":"($2530$/$1961$)≎⊠⪸$3061$⨑⩅≇$4905$","expression":"(≴∭⊉10243/≴∭⊉5501)≎⊠⪸≴∭⊉11632⨑⩅≇≴∭⊉20205","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4969,"operation_count":3,"complexity_ratio":1656.3333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2530,"base":7},"right_expr":{"type":"numeric_atoms","value":1961,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3061,"base":7},"right_expr":{"type":"numeric_atoms","value":4905,"base":7}}},"used_operators":["bJkvcejdHO","XhwjNDsVaA","h92wMvzauj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":2},{"info":"number node, value=1961","layer":2},{"info":"compute binary expreesion, left_input=2530, right_input=1961, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=3061","layer":2},{"info":"number node, value=4905","layer":2},{"info":"compute binary expreesion, left_input=3061, right_input=4905, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9183","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-9183, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10243/≴∭⊉5501)≎⊠⪸≴∭⊉11632⨑⩅≇≴∭⊉20205=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉10243/≴∭⊉5501)≎⊠⪸≴∭⊉11632⨑⩅≇≴∭⊉20205","cot":[{"info":"≴∭⊉10243/≴∭⊉5501=≴∭⊉1","layer":1},{"info":"≴∭⊉11632⨑⩅≇≴∭⊉20205=≴∭⊉-35526","layer":1},{"info":"≴∭⊉1≎⊠⪸≴∭⊉-35526=≴∭⊉124","layer":0}]}
+{"id":740,"expression_no_base_symbol":"($2590$∖$1231$)⩣⫁∢(⩦⊞$2350$)","expression":"(≴∭⊉10360∖≴∭⊉3406)⩣⫁∢(⩦⊞≴∭⊉6565)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":305,"operation_count":3,"complexity_ratio":101.66666666666667,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2590,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2350,"base":7}}},"used_operators":["JDUIKTTSIa","tXD093vOjl","u7fv1HBiaC"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"≴∭⊉320","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2590","layer":2},{"info":"number node, value=1231","layer":2},{"info":"compute binary expreesion, left_input=2590, right_input=1231, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=2350","layer":2},{"info":"compute unary expreesion, input=2350, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2077","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2077, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10360∖≴∭⊉3406)⩣⫁∢(⩦⊞≴∭⊉6565)=≴∭⊉320","reverse_text":"≴∭⊉320=(≴∭⊉10360∖≴∭⊉3406)⩣⫁∢(⩦⊞≴∭⊉6565)","cot":[{"info":"≴∭⊉10360∖≴∭⊉3406=≴∭⊉0","layer":1},{"info":"⩦⊞≴∭⊉6565=≴∭⊉-6025","layer":1},{"info":"≴∭⊉0⩣⫁∢≴∭⊉-6025=≴∭⊉320","layer":0}]}
+{"id":741,"expression_no_base_symbol":"(⋎⨆$7469$)⨑⩅≇($2776$⊔$4519$)","expression":"(⋎⨆≴∭⊉30530)⨑⩅≇(≴∭⊉11044⊔≴∭⊉16114)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25843,"operation_count":3,"complexity_ratio":8614.333333333334,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":7469,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2776,"base":7},"right_expr":{"type":"numeric_atoms","value":4519,"base":7}}},"used_operators":["h92wMvzauj","E64sFOc4tB","E4l6HwMY31"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7469","layer":2},{"info":"compute unary expreesion, input=7469, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=2776","layer":2},{"info":"number node, value=4519","layer":2},{"info":"compute binary expreesion, left_input=2776, right_input=4519, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25747","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=25747, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⋎⨆≴∭⊉30530)⨑⩅≇(≴∭⊉11044⊔≴∭⊉16114)=≴∭⊉0","reverse_text":"≴∭⊉0=(⋎⨆≴∭⊉30530)⨑⩅≇(≴∭⊉11044⊔≴∭⊉16114)","cot":[{"info":"⋎⨆≴∭⊉30530=≴∭⊉0","layer":1},{"info":"≴∭⊉11044⊔≴∭⊉16114=≴∭⊉135031","layer":1},{"info":"≴∭⊉0⨑⩅≇≴∭⊉135031=≴∭⊉0","layer":0}]}
+{"id":742,"expression_no_base_symbol":"($2912$≥⨤⩑$7731$)∣($8704$⇷$7459$)","expression":"(≴∭⊉11330≥⨤⩑≴∭⊉31353)∣(≴∭⊉34243⇷≴∭⊉30514)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121872,"operation_count":3,"complexity_ratio":40624.0,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2912,"base":7},"right_expr":{"type":"numeric_atoms","value":7731,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8704,"base":7},"right_expr":{"type":"numeric_atoms","value":7459,"base":7}}},"used_operators":["PPChnnnBFF","gJLn6v0xnP","mp7IySMOzn"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2912","layer":2},{"info":"number node, value=7731","layer":2},{"info":"compute binary expreesion, left_input=2912, right_input=7731, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=8704","layer":2},{"info":"number node, value=7459","layer":2},{"info":"compute binary expreesion, left_input=8704, right_input=7459, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14918","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=14918, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11330≥⨤⩑≴∭⊉31353)∣(≴∭⊉34243⇷≴∭⊉30514)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉11330≥⨤⩑≴∭⊉31353)∣(≴∭⊉34243⇷≴∭⊉30514)","cot":[{"info":"≴∭⊉11330≥⨤⩑≴∭⊉31353=≴∭⊉3412","layer":1},{"info":"≴∭⊉34243⇷≴∭⊉30514=≴∭⊉61331","layer":1},{"info":"≴∭⊉3412∣≴∭⊉61331=≴∭⊉3412","layer":0}]}
+{"id":743,"expression_no_base_symbol":"≱⇩⩕($4060$⩹$2785$)","expression":"≱⇩⩕(≴∭⊉14560⩹≴∭⊉11056)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4060,"base":7},"right_expr":{"type":"numeric_atoms","value":2785,"base":7}}},"used_operators":["3DZMoQKiUl","2Wsdkap16l"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4060","layer":2},{"info":"number node, value=2785","layer":2},{"info":"compute binary expreesion, left_input=4060, right_input=2785, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2783","layer":1},{"info":"compute unary expreesion, input=2783, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":7,"result_base":7,"text":"≱⇩⩕(≴∭⊉14560⩹≴∭⊉11056)=≴∭⊉221","reverse_text":"≴∭⊉221=≱⇩⩕(≴∭⊉14560⩹≴∭⊉11056)","cot":[{"info":"≴∭⊉14560⩹≴∭⊉11056=≴∭⊉11054","layer":1},{"info":"≱⇩⩕≴∭⊉11054=≴∭⊉221","layer":0}]}
+{"id":744,"expression_no_base_symbol":"(⩷$3960$)↹⊜($1153$⊱⇼⊻$1775$)","expression":"(⩷≴∭⊉14355)↹⊜(≴∭⊉3235⊱⇼⊻≴∭⊉5114)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3960,"base":7}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1153,"base":7},"right_expr":{"type":"numeric_atoms","value":1775,"base":7}}},"used_operators":["9bazX3JMtO","1h0rLqGiFr","FyVja0WsTP"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉-13255","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":2},{"info":"compute unary expreesion, input=3960, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-47599","layer":1},{"info":"number node, value=1153","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=1775, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute binary expreesion, left_input=-47599, right_input=434, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-3568","layer":0}],"base":7,"result_base":7,"text":"(⩷≴∭⊉14355)↹⊜(≴∭⊉3235⊱⇼⊻≴∭⊉5114)=≴∭⊉-13255","reverse_text":"≴∭⊉-13255=(⩷≴∭⊉14355)↹⊜(≴∭⊉3235⊱⇼⊻≴∭⊉5114)","cot":[{"info":"⩷≴∭⊉14355=≴∭⊉-255526","layer":1},{"info":"≴∭⊉3235⊱⇼⊻≴∭⊉5114=≴∭⊉1160","layer":1},{"info":"≴∭⊉-255526↹⊜≴∭⊉1160=≴∭⊉-13255","layer":0}]}
+{"id":745,"expression_no_base_symbol":"↔($1591$≀⩗∶$1846$)","expression":"↔(≴∭⊉4432≀⩗∶≴∭⊉5245)","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":1591,"base":7},"right_expr":{"type":"numeric_atoms","value":1846,"base":7}}},"used_operators":["ruOEQAzv1W","8INZBEW696"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"≴∭⊉2214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":2},{"info":"number node, value=1846","layer":2},{"info":"compute binary expreesion, left_input=1591, right_input=1846, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=795","layer":0}],"base":7,"result_base":7,"text":"↔(≴∭⊉4432≀⩗∶≴∭⊉5245)=≴∭⊉2214","reverse_text":"≴∭⊉2214=↔(≴∭⊉4432≀⩗∶≴∭⊉5245)","cot":[{"info":"≴∭⊉4432≀⩗∶≴∭⊉5245=≴∭⊉-3","layer":1},{"info":"↔≴∭⊉-3=≴∭⊉2214","layer":0}]}
+{"id":746,"expression_no_base_symbol":"(⨞⊢$6950$)⩚⊴⇥$3221$⊔$5058$","expression":"(⨞⊢≴∭⊉26156)⩚⊴⇥≴∭⊉12251⊔≴∭⊉20514","highest_n_order":1,"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":6950,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3221,"base":7},"right_expr":{"type":"numeric_atoms","value":5058,"base":7}}},"used_operators":["NTOWxs364D","xUOZtlo3hN","E4l6HwMY31"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-122046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6950","layer":2},{"info":"compute unary expreesion, input=6950, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7124","layer":1},{"info":"number node, value=3221","layer":2},{"info":"number node, value=5058","layer":2},{"info":"compute binary expreesion, left_input=3221, right_input=5058, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=29332","layer":1},{"info":"compute binary expreesion, left_input=-7124, right_input=29332, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-22329","layer":0}],"base":7,"result_base":7,"text":"(⨞⊢≴∭⊉26156)⩚⊴⇥≴∭⊉12251⊔≴∭⊉20514=≴∭⊉-122046","reverse_text":"≴∭⊉-122046=(⨞⊢≴∭⊉26156)⩚⊴⇥≴∭⊉12251⊔≴∭⊉20514","cot":[{"info":"⨞⊢≴∭⊉26156=≴∭⊉-26525","layer":1},{"info":"≴∭⊉12251⊔≴∭⊉20514=≴∭⊉151342","layer":1},{"info":"≴∭⊉-26525⩚⊴⇥≴∭⊉151342=≴∭⊉-122046","layer":0}]}
+{"id":747,"expression_no_base_symbol":"≪(⇺⋃$1292$)","expression":"≪(⇺⋃≴∭⊉3524)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":99,"operation_count":2,"complexity_ratio":49.5,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1292,"base":7}}},"used_operators":["Qtd6bqUJcN","E5v5B3UAjG"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1292","layer":2},{"info":"compute unary expreesion, input=1292, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"≪(⇺⋃≴∭⊉3524)=≴∭⊉2443","reverse_text":"≴∭⊉2443=≪(⇺⋃≴∭⊉3524)","cot":[{"info":"⇺⋃≴∭⊉3524=NaN","layer":1},{"info":"≪NaN=≴∭⊉2443","layer":0}]}
+{"id":748,"expression_no_base_symbol":"(⊬↢$4429$)⊲⩕⊾$8139$∺≝⩲$2285$","expression":"(⊬↢≴∭⊉15625)⊲⩕⊾≴∭⊉32505∺≝⩲≴∭⊉6443","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4515,"operation_count":3,"complexity_ratio":1505.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":4429,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":8139,"base":7},"right_expr":{"type":"numeric_atoms","value":2285,"base":7}}},"used_operators":["DmTXOeWf9t","WPoGxAaPR1","KPf6cnQVty"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≴∭⊉-5003","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4429","layer":2},{"info":"compute unary expreesion, input=4429, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=8139","layer":2},{"info":"number node, value=2285","layer":2},{"info":"compute binary expreesion, left_input=8139, right_input=2285, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-1718","layer":0}],"base":7,"result_base":7,"text":"(⊬↢≴∭⊉15625)⊲⩕⊾≴∭⊉32505∺≝⩲≴∭⊉6443=≴∭⊉-5003","reverse_text":"≴∭⊉-5003=(⊬↢≴∭⊉15625)⊲⩕⊾≴∭⊉32505∺≝⩲≴∭⊉6443","cot":[{"info":"⊬↢≴∭⊉15625=≴∭⊉431","layer":1},{"info":"≴∭⊉32505∺≝⩲≴∭⊉6443=≴∭⊉316","layer":1},{"info":"≴∭⊉431⊲⩕⊾≴∭⊉316=≴∭⊉-5003","layer":0}]}
+{"id":749,"expression_no_base_symbol":"(⋣$2384$)⩘($7352$⨪↰⇹$3229$)","expression":"(⋣≴∭⊉6644)⩘(≴∭⊉30302⨪↰⇹≴∭⊉12262)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2110007,"operation_count":3,"complexity_ratio":703335.6666666666,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2384,"base":7}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7352,"base":7},"right_expr":{"type":"numeric_atoms","value":3229,"base":7}}},"used_operators":["cHh1gJQ2o6","zQWRhDnn8F","tmPS8pqC7x"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rJVOvQCfKK"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2384","layer":2},{"info":"compute unary expreesion, input=2384, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-700801","layer":1},{"info":"number node, value=7352","layer":2},{"info":"number node, value=3229","layer":2},{"info":"compute binary expreesion, left_input=7352, right_input=3229, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7352","layer":1},{"info":"compute binary expreesion, left_input=-700801, right_input=7352, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⋣≴∭⊉6644)⩘(≴∭⊉30302⨪↰⇹≴∭⊉12262)=≴∭⊉316","reverse_text":"≴∭⊉316=(⋣≴∭⊉6644)⩘(≴∭⊉30302⨪↰⇹≴∭⊉12262)","cot":[{"info":"⋣≴∭⊉6644=≴∭⊉-5646103","layer":1},{"info":"≴∭⊉30302⨪↰⇹≴∭⊉12262=≴∭⊉30302","layer":1},{"info":"≴∭⊉-5646103⩘≴∭⊉30302=≴∭⊉316","layer":0}]}
+{"id":750,"expression_no_base_symbol":"$1168$⇄$2435$≓∲$1940$⩧⪆$2005$","expression":"≴∭⊉3256⇄≴∭⊉10046≓∲≴∭⊉5441⩧⪆≴∭⊉5563","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1168,"base":7},"right_expr":{"type":"numeric_atoms","value":2435,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1940,"base":7},"right_expr":{"type":"numeric_atoms","value":2005,"base":7}}},"used_operators":["s1XTVnmDOJ","3EYGwJThht","Ikt5ks8PT7"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉334153","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"number node, value=2435","layer":2},{"info":"compute binary expreesion, left_input=1168, right_input=2435, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1940","layer":2},{"info":"number node, value=2005","layer":2},{"info":"compute binary expreesion, left_input=1940, right_input=2005, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2005","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2005, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=59083","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3256⇄≴∭⊉10046≓∲≴∭⊉5441⩧⪆≴∭⊉5563=≴∭⊉334153","reverse_text":"≴∭⊉334153=≴∭⊉3256⇄≴∭⊉10046≓∲≴∭⊉5441⩧⪆≴∭⊉5563","cot":[{"info":"≴∭⊉3256⇄≴∭⊉10046=≴∭⊉0","layer":1},{"info":"≴∭⊉5441⩧⪆≴∭⊉5563=≴∭⊉-5563","layer":1},{"info":"≴∭⊉0≓∲≴∭⊉-5563=≴∭⊉334153","layer":0}]}
+{"id":751,"expression_no_base_symbol":"($2071$≎⊠⪸$2110$)⫁(+⊝⨔$1680$)","expression":"(≴∭⊉6016≎⊠⪸≴∭⊉6103)⫁(+⊝⨔≴∭⊉4620)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":406,"operation_count":3,"complexity_ratio":135.33333333333334,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2071,"base":7},"right_expr":{"type":"numeric_atoms","value":2110,"base":7}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1680,"base":7}}},"used_operators":["0ajvFaJAv0","bJkvcejdHO","DhbWaqg5eL"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2071","layer":2},{"info":"number node, value=2110","layer":2},{"info":"compute binary expreesion, left_input=2071, right_input=2110, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=535916","layer":1},{"info":"number node, value=1680","layer":2},{"info":"compute unary expreesion, input=1680, 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=535916, right_input=1522, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6016≎⊠⪸≴∭⊉6103)⫁(+⊝⨔≴∭⊉4620)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉6016≎⊠⪸≴∭⊉6103)⫁(+⊝⨔≴∭⊉4620)","cot":[{"info":"≴∭⊉6016≎⊠⪸≴∭⊉6103=≴∭⊉4361303","layer":1},{"info":"+⊝⨔≴∭⊉4620=≴∭⊉4303","layer":1},{"info":"≴∭⊉4361303⫁≴∭⊉4303=≴∭⊉316","layer":0}]}
+{"id":752,"expression_no_base_symbol":"($7904$⫚⫇)⩣⫁∢(⊗$5608$)","expression":"(≴∭⊉32021⫚⫇)⩣⫁∢(⊗≴∭⊉22231)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":7904,"base":7}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":5608,"base":7}}},"used_operators":["JDUIKTTSIa","SdCjLnB6rR","RhiyfpczSx"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"≴∭⊉-146101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7904","layer":2},{"info":"compute unary expreesion, input=7904, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=14340","layer":1},{"info":"number node, value=5608","layer":2},{"info":"compute unary expreesion, input=5608, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-11216","layer":1},{"info":"compute binary expreesion, left_input=14340, right_input=-11216, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-28519","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32021⫚⫇)⩣⫁∢(⊗≴∭⊉22231)=≴∭⊉-146101","reverse_text":"≴∭⊉-146101=(≴∭⊉32021⫚⫇)⩣⫁∢(⊗≴∭⊉22231)","cot":[{"info":"≴∭⊉32021⫚⫇=≴∭⊉56544","layer":1},{"info":"⊗≴∭⊉22231=≴∭⊉-44462","layer":1},{"info":"≴∭⊉56544⩣⫁∢≴∭⊉-44462=≴∭⊉-146101","layer":0}]}
+{"id":753,"expression_no_base_symbol":"(↯⪼$2484$)∌↝(↨$5394$)","expression":"(↯⪼≴∭⊉10146)∌↝(↨≴∭⊉21504)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2484,"base":7}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5394,"base":7}}},"used_operators":["9Isq31Ruls","8jW3W4yZS5","jiX4gk2v2Q"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","oZj3VtZNQx"],"result":"≴∭⊉-60","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2484","layer":2},{"info":"compute unary expreesion, input=2484, 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=5394","layer":2},{"info":"compute unary expreesion, input=5394, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-42","layer":0}],"base":7,"result_base":7,"text":"(↯⪼≴∭⊉10146)∌↝(↨≴∭⊉21504)=≴∭⊉-60","reverse_text":"≴∭⊉-60=(↯⪼≴∭⊉10146)∌↝(↨≴∭⊉21504)","cot":[{"info":"↯⪼≴∭⊉10146=≴∭⊉-30","layer":1},{"info":"↨≴∭⊉21504=NaN","layer":1},{"info":"≴∭⊉-30∌↝NaN=≴∭⊉-60","layer":0}]}
+{"id":754,"expression_no_base_symbol":"$5650$∑⇟⊟$1154$⇣⩺⋵$1469$∊∟⩊$1004$","expression":"≴∭⊉22321∑⇟⊟≴∭⊉3236⇣⩺⋵≴∭⊉4166∊∟⩊≴∭⊉2633","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5650,"base":7},"right_expr":{"type":"numeric_atoms","value":1154,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1469,"base":7},"right_expr":{"type":"numeric_atoms","value":1004,"base":7}}},"used_operators":["F4yD0voBRQ","U7g4x0WXJJ","ddLRYrp01A"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"≴∭⊉-521","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5650","layer":2},{"info":"number node, value=1154","layer":2},{"info":"compute binary expreesion, left_input=5650, right_input=1154, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1469","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=1004, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=41","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=41, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22321∑⇟⊟≴∭⊉3236⇣⩺⋵≴∭⊉4166∊∟⩊≴∭⊉2633=≴∭⊉-521","reverse_text":"≴∭⊉-521=≴∭⊉22321∑⇟⊟≴∭⊉3236⇣⩺⋵≴∭⊉4166∊∟⩊≴∭⊉2633","cot":[{"info":"≴∭⊉22321∑⇟⊟≴∭⊉3236=NaN","layer":1},{"info":"≴∭⊉4166∊∟⩊≴∭⊉2633=≴∭⊉56","layer":1},{"info":"NaN⇣⩺⋵≴∭⊉56=≴∭⊉-521","layer":0}]}
+{"id":755,"expression_no_base_symbol":"$3060$≝⊿$3445$⪪(⫇$2739$)","expression":"≴∭⊉11631≝⊿≴∭⊉13021⪪(⫇≴∭⊉10662)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":49599,"operation_count":3,"complexity_ratio":16533.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3060,"base":7},"right_expr":{"type":"numeric_atoms","value":3445,"base":7}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2739,"base":7}}},"used_operators":["xD69zh8xqp","OKKcZfAt5B","YjI8oCXuph"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","12rbrZMWeM","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"≴∭⊉-30050541","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3060","layer":2},{"info":"number node, value=3445","layer":2},{"info":"compute binary expreesion, left_input=3060, right_input=3445, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10483","layer":1},{"info":"number node, value=2739","layer":2},{"info":"compute unary expreesion, input=2739, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4264","layer":1},{"info":"compute binary expreesion, left_input=-10483, right_input=-4264, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-2482908","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11631≝⊿≴∭⊉13021⪪(⫇≴∭⊉10662)=≴∭⊉-30050541","reverse_text":"≴∭⊉-30050541=≴∭⊉11631≝⊿≴∭⊉13021⪪(⫇≴∭⊉10662)","cot":[{"info":"≴∭⊉11631≝⊿≴∭⊉13021=≴∭⊉-42364","layer":1},{"info":"⫇≴∭⊉10662=≴∭⊉-15301","layer":1},{"info":"≴∭⊉-42364⪪≴∭⊉-15301=≴∭⊉-30050541","layer":0}]}
+{"id":756,"expression_no_base_symbol":"($3060$⩨$3952$)≝⊿($1573$↙$3107$)","expression":"(≴∭⊉11631⩨≴∭⊉14344)≝⊿(≴∭⊉4405↙≴∭⊉12026)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3128,"operation_count":3,"complexity_ratio":1042.6666666666667,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3060,"base":7},"right_expr":{"type":"numeric_atoms","value":3952,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1573,"base":7},"right_expr":{"type":"numeric_atoms","value":3107,"base":7}}},"used_operators":["OKKcZfAt5B","2DlMacCsIx","yyfyN0ffXY"],"dependent_operators":["12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","DpFCA1CohY"],"result":"≴∭⊉103543","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3060","layer":2},{"info":"number node, value=3952","layer":2},{"info":"compute binary expreesion, left_input=3060, right_input=3952, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1573","layer":2},{"info":"number node, value=3107","layer":2},{"info":"compute binary expreesion, left_input=1573, right_input=3107, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9321","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=-9321, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=18112","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11631⩨≴∭⊉14344)≝⊿(≴∭⊉4405↙≴∭⊉12026)=≴∭⊉103543","reverse_text":"≴∭⊉103543=(≴∭⊉11631⩨≴∭⊉14344)≝⊿(≴∭⊉4405↙≴∭⊉12026)","cot":[{"info":"≴∭⊉11631⩨≴∭⊉14344=≴∭⊉-3","layer":1},{"info":"≴∭⊉4405↙≴∭⊉12026=≴∭⊉-36114","layer":1},{"info":"≴∭⊉-3≝⊿≴∭⊉-36114=≴∭⊉103543","layer":0}]}
+{"id":757,"expression_no_base_symbol":"($6088$∝$4333$)⪥($6139$⇪⋭)","expression":"(≴∭⊉23515∝≴∭⊉15430)⪥(≴∭⊉23620⇪⋭)","highest_n_order":5,"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":6088,"base":7},"right_expr":{"type":"numeric_atoms","value":4333,"base":7}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6139,"base":7}}},"used_operators":["QbnwKVWMIQ","cTDWOvIxvz","Z8Yg6dlDSp"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"≴∭⊉150422","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6088","layer":2},{"info":"number node, value=4333","layer":2},{"info":"compute binary expreesion, left_input=6088, right_input=4333, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6093","layer":1},{"info":"number node, value=6139","layer":2},{"info":"compute unary expreesion, input=6139, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6093, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29024","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23515∝≴∭⊉15430)⪥(≴∭⊉23620⇪⋭)=≴∭⊉150422","reverse_text":"≴∭⊉150422=(≴∭⊉23515∝≴∭⊉15430)⪥(≴∭⊉23620⇪⋭)","cot":[{"info":"≴∭⊉23515∝≴∭⊉15430=≴∭⊉23523","layer":1},{"info":"≴∭⊉23620⇪⋭=NaN","layer":1},{"info":"≴∭⊉23523⪥NaN=≴∭⊉150422","layer":0}]}
+{"id":758,"expression_no_base_symbol":"(⫶⊄≣$2413$)*($5452$≬⋮$1188$)","expression":"(⫶⊄≣≴∭⊉10015)*(≴∭⊉21616≬⋮≴∭⊉3315)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3321,"operation_count":3,"complexity_ratio":1107.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2413,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5452,"base":7},"right_expr":{"type":"numeric_atoms","value":1188,"base":7}}},"used_operators":["9HNa5Wba9A","wxb3vTeyAj","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"compute unary expreesion, input=2413, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=104846365","layer":1},{"info":"number node, value=5452","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=5452, right_input=1188, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=104846365, right_input=868, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":0}],"base":7,"result_base":7,"text":"(⫶⊄≣≴∭⊉10015)*(≴∭⊉21616≬⋮≴∭⊉3315)=Inf","reverse_text":"Inf=(⫶⊄≣≴∭⊉10015)*(≴∭⊉21616≬⋮≴∭⊉3315)","cot":[{"info":"⫶⊄≣≴∭⊉10015=≴∭⊉2412115351","layer":1},{"info":"≴∭⊉21616≬⋮≴∭⊉3315=≴∭⊉2350","layer":1},{"info":"≴∭⊉2412115351*≴∭⊉2350=Inf","layer":0}]}
+{"id":759,"expression_no_base_symbol":"(↓⇌$2211$)⪛(⋂$4156$)","expression":"(↓⇌≴∭⊉6306)⪛(⋂≴∭⊉15055)","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":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2211,"base":7}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":4156,"base":7}}},"used_operators":["uFcxV4UQCh","PxpmPgHHJV","BUOGQAYlQx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"≴∭⊉-320310","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2211","layer":2},{"info":"compute unary expreesion, input=2211, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2211","layer":1},{"info":"number node, value=4156","layer":2},{"info":"compute unary expreesion, input=4156, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-57588","layer":1},{"info":"compute binary expreesion, left_input=2211, right_input=-57588, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-55377","layer":0}],"base":7,"result_base":7,"text":"(↓⇌≴∭⊉6306)⪛(⋂≴∭⊉15055)=≴∭⊉-320310","reverse_text":"≴∭⊉-320310=(↓⇌≴∭⊉6306)⪛(⋂≴∭⊉15055)","cot":[{"info":"↓⇌≴∭⊉6306=≴∭⊉6306","layer":1},{"info":"⋂≴∭⊉15055=≴∭⊉-326616","layer":1},{"info":"≴∭⊉6306⪛≴∭⊉-326616=≴∭⊉-320310","layer":0}]}
+{"id":760,"expression_no_base_symbol":"⫓⪴($1592$⋩≍≻)","expression":"⫓⪴(≴∭⊉4433⋩≍≻)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1592,"base":7}}},"used_operators":["eLxqMNBOBk","WYd1w68Nbz"],"dependent_operators":["9HNa5Wba9A","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"≴∭⊉11551","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":2},{"info":"compute unary expreesion, input=1592, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3025","layer":0}],"base":7,"result_base":7,"text":"⫓⪴(≴∭⊉4433⋩≍≻)=≴∭⊉11551","reverse_text":"≴∭⊉11551=⫓⪴(≴∭⊉4433⋩≍≻)","cot":[{"info":"≴∭⊉4433⋩≍≻=≴∭⊉-106","layer":1},{"info":"⫓⪴≴∭⊉-106=≴∭⊉11551","layer":0}]}
+{"id":761,"expression_no_base_symbol":"$1065$⊨$2606$⪭≯$4953$⪢$1110$","expression":"≴∭⊉3051⊨≴∭⊉10412⪭≯≴∭⊉20304⪢≴∭⊉3144","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1653,"operation_count":3,"complexity_ratio":551.0,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1065,"base":7},"right_expr":{"type":"numeric_atoms","value":2606,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4953,"base":7},"right_expr":{"type":"numeric_atoms","value":1110,"base":7}}},"used_operators":["XAx5wpdLa6","vg4gO5BX6G","dWAJyo7jo9"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"number node, value=2606","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=2606, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5291","layer":1},{"info":"number node, value=4953","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=4953, right_input=1110, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5291, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3051⊨≴∭⊉10412⪭≯≴∭⊉20304⪢≴∭⊉3144=NaN","reverse_text":"NaN=≴∭⊉3051⊨≴∭⊉10412⪭≯≴∭⊉20304⪢≴∭⊉3144","cot":[{"info":"≴∭⊉3051⊨≴∭⊉10412=≴∭⊉21266","layer":1},{"info":"≴∭⊉20304⪢≴∭⊉3144=NaN","layer":1},{"info":"≴∭⊉21266⪭≯NaN=NaN","layer":0}]}
+{"id":762,"expression_no_base_symbol":"(⇘$1526$)⨜⨶$1064$⊕∕$1142$","expression":"(⇘≴∭���4310)⨜⨶≴∭⊉3050⊕∕≴∭⊉3221","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3124,"operation_count":3,"complexity_ratio":1041.3333333333333,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1526,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1064,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}},"used_operators":["HiPekx5b7W","MGuIdZPyUC","9cloC0Ngie"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉-5313","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":2},{"info":"compute unary expreesion, input=1526, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=85942","layer":1},{"info":"number node, value=1064","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=1064, right_input=1142, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1064","layer":1},{"info":"compute binary expreesion, left_input=85942, right_input=1064, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1872","layer":0}],"base":7,"result_base":7,"text":"(⇘≴∭⊉4310)⨜⨶≴∭⊉3050⊕∕≴∭⊉3221=≴∭⊉-5313","reverse_text":"≴∭⊉-5313=(⇘≴∭⊉4310)⨜⨶≴∭⊉3050⊕∕≴∭⊉3221","cot":[{"info":"⇘≴∭⊉4310=≴∭⊉505363","layer":1},{"info":"≴∭⊉3050⊕∕≴∭⊉3221=≴∭⊉3050","layer":1},{"info":"≴∭⊉505363⨜⨶≴∭⊉3050=≴∭⊉-5313","layer":0}]}
+{"id":763,"expression_no_base_symbol":"($3680$⋳⪒$1385$)⩧⪆$4742$∛$2996$","expression":"(≴∭⊉13505⋳⪒≴∭⊉4016)⩧⪆≴∭⊉16553∛≴∭⊉11510","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3680,"base":7},"right_expr":{"type":"numeric_atoms","value":1385,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4742,"base":7},"right_expr":{"type":"numeric_atoms","value":2996,"base":7}}},"used_operators":["Ikt5ks8PT7","12rbrZMWeM","w2537kitQq"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉1645","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3680","layer":2},{"info":"number node, value=1385","layer":2},{"info":"compute binary expreesion, left_input=3680, right_input=1385, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5688","layer":1},{"info":"number node, value=4742","layer":2},{"info":"number node, value=2996","layer":2},{"info":"compute binary expreesion, left_input=4742, right_input=2996, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=5688, right_input=-670, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=670","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13505⋳⪒≴∭⊉4016)⩧⪆≴∭⊉16553∛≴∭⊉11510=≴∭⊉1645","reverse_text":"≴∭⊉1645=(≴∭⊉13505⋳⪒≴∭⊉4016)⩧⪆≴∭⊉16553∛≴∭⊉11510","cot":[{"info":"≴∭⊉13505⋳⪒≴∭⊉4016=≴∭⊉22404","layer":1},{"info":"≴∭⊉16553∛≴∭⊉11510=≴∭⊉-1645","layer":1},{"info":"≴∭⊉22404⩧⪆≴∭⊉-1645=≴∭⊉1645","layer":0}]}
+{"id":764,"expression_no_base_symbol":"⨰⫟⨤($1577$⪕$5220$)","expression":"⨰⫟⨤(≴∭⊉4412⪕≴∭⊉21135)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1122,"operation_count":2,"complexity_ratio":561.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1577,"base":7},"right_expr":{"type":"numeric_atoms","value":5220,"base":7}}},"used_operators":["Tw270M8GLb","umQnsF7QlU"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1577","layer":2},{"info":"number node, value=5220","layer":2},{"info":"compute binary expreesion, left_input=1577, right_input=5220, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨰⫟⨤(≴∭⊉4412⪕≴∭⊉21135)=NaN","reverse_text":"NaN=⨰⫟⨤(≴∭⊉4412⪕≴∭⊉21135)","cot":[{"info":"≴∭⊉4412⪕≴∭⊉21135=≴∭⊉-106","layer":1},{"info":"⨰⫟⨤≴∭⊉-106=NaN","layer":0}]}
+{"id":765,"expression_no_base_symbol":"($1236$⨹)⫌⩉⩟(⋼∭⪍$1880$)","expression":"(≴∭⊉3414⨹)⫌⩉⩟(⋼∭⪍≴∭⊉5324)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45186,"operation_count":3,"complexity_ratio":15062.0,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1236,"base":7}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1880,"base":7}}},"used_operators":["XIIwhv8d0m","UnCoSGIALn","DbCuESL50I"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","mp7IySMOzn","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1236","layer":2},{"info":"compute unary expreesion, input=1236, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2472","layer":1},{"info":"number node, value=1880","layer":2},{"info":"compute unary expreesion, input=1880, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-5780","layer":1},{"info":"compute binary expreesion, left_input=2472, right_input=-5780, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3414⨹)⫌⩉⩟(⋼∭⪍≴∭⊉5324)=≴∭⊉-101","reverse_text":"≴∭⊉-101=(≴∭⊉3414⨹)⫌⩉⩟(⋼∭⪍≴∭⊉5324)","cot":[{"info":"≴∭⊉3414⨹=≴∭⊉10131","layer":1},{"info":"⋼∭⪍≴∭⊉5324=≴∭⊉-22565","layer":1},{"info":"≴∭⊉10131⫌⩉⩟≴∭⊉-22565=≴∭⊉-101","layer":0}]}
+{"id":766,"expression_no_base_symbol":"($1896$≭$2030$)⪛($1824$⇌⫙⪟$6252$)","expression":"(≴∭⊉5346≭≴∭⊉5630)⪛(≴∭⊉5214⇌⫙⪟≴∭⊉24141)","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":1896,"base":7},"right_expr":{"type":"numeric_atoms","value":2030,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1824,"base":7},"right_expr":{"type":"numeric_atoms","value":6252,"base":7}}},"used_operators":["uFcxV4UQCh","rxpJgHHUmx","AFVx7xoS7T"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1896","layer":2},{"info":"number node, value=2030","layer":2},{"info":"compute binary expreesion, left_input=1896, right_input=2030, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1824","layer":2},{"info":"number node, value=6252","layer":2},{"info":"compute binary expreesion, left_input=1824, right_input=6252, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5346≭≴∭⊉5630)⪛(≴∭⊉5214⇌⫙⪟≴∭⊉24141)=NaN","reverse_text":"NaN=(≴∭⊉5346≭≴∭⊉5630)⪛(≴∭⊉5214⇌⫙⪟≴∭⊉24141)","cot":[{"info":"≴∭⊉5346≭≴∭⊉5630=NaN","layer":1},{"info":"≴∭⊉5214⇌⫙⪟≴∭⊉24141=≴∭⊉221","layer":1},{"info":"NaN⪛≴∭⊉221=NaN","layer":0}]}
+{"id":767,"expression_no_base_symbol":"($2939$+⇶⊼$2609$)⪕($1102$-$7192$)","expression":"(≴∭⊉11366+⇶⊼≴∭⊉10415)⪕(≴∭⊉3133-≴∭⊉26653)","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":2939,"base":7},"right_expr":{"type":"numeric_atoms","value":2609,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1102,"base":7},"right_expr":{"type":"numeric_atoms","value":7192,"base":7}}},"used_operators":["umQnsF7QlU","TpPTUOHfaN","rysDP5nf3Z"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AHs5Up7iyr"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":2},{"info":"number node, value=2609","layer":2},{"info":"compute binary expreesion, left_input=2939, right_input=2609, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1102","layer":2},{"info":"number node, value=7192","layer":2},{"info":"compute binary expreesion, left_input=1102, right_input=7192, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6090","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6090, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11366+⇶⊼≴∭⊉10415)⪕(≴∭⊉3133-≴∭⊉26653)=≴∭⊉2504","reverse_text":"≴∭⊉2504=(≴∭⊉11366+⇶⊼≴∭⊉10415)⪕(≴∭⊉3133-≴∭⊉26653)","cot":[{"info":"≴∭⊉11366+⇶⊼≴∭⊉10415=NaN","layer":1},{"info":"≴∭⊉3133-≴∭⊉26653=≴∭⊉-23520","layer":1},{"info":"NaN⪕≴∭⊉-23520=≴∭⊉2504","layer":0}]}
+{"id":768,"expression_no_base_symbol":"$1111$∇⊂⋱$4452$⋾⨃∁$1578$⨚⇆$2207$","expression":"≴∭⊉3145∇⊂⋱≴∭⊉15660⋾⨃∁≴∭⊉4413⨚⇆≴∭⊉6302","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11119,"operation_count":3,"complexity_ratio":3706.3333333333335,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1111,"base":7},"right_expr":{"type":"numeric_atoms","value":4452,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1578,"base":7},"right_expr":{"type":"numeric_atoms","value":2207,"base":7}}},"used_operators":["212REbPD9h","nhYeJWJD5X","lwHaAYXP2r"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"number node, value=4452","layer":2},{"info":"compute binary expreesion, left_input=1111, right_input=4452, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1676","layer":1},{"info":"number node, value=1578","layer":2},{"info":"number node, value=2207","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=2207, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1676, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3145∇⊂⋱≴∭⊉15660⋾⨃∁≴∭⊉4413⨚⇆≴∭⊉6302=NaN","reverse_text":"NaN=≴∭⊉3145∇⊂⋱≴∭⊉15660⋾⨃∁≴∭⊉4413⨚⇆≴∭⊉6302","cot":[{"info":"≴∭⊉3145∇⊂⋱≴∭⊉15660=≴∭⊉4613","layer":1},{"info":"≴∭⊉4413⨚⇆≴∭⊉6302=NaN","layer":1},{"info":"≴∭⊉4613⋾⨃∁NaN=NaN","layer":0}]}
+{"id":769,"expression_no_base_symbol":"$7153$⫗⊷⫓$5902$∋($7232$∽$2388$)","expression":"≴∭⊉26566⫗⊷⫓≴∭⊉23131∋(≴∭⊉30041∽≴∭⊉6651)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":763,"operation_count":3,"complexity_ratio":254.33333333333334,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7153,"base":7},"right_expr":{"type":"numeric_atoms","value":5902,"base":7}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7232,"base":7},"right_expr":{"type":"numeric_atoms","value":2388,"base":7}}},"used_operators":["ukq6epAj5P","zashukvMKz","y4ImoPnbV5"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","QMFrweE19q"],"result":"≴∭⊉-313456","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7153","layer":2},{"info":"number node, value=5902","layer":2},{"info":"compute binary expreesion, left_input=7153, right_input=5902, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=7232","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=7232, right_input=2388, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-43146","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-43146, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54088","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉26566⫗⊷⫓≴∭⊉23131∋(≴∭⊉30041∽≴∭⊉6651)=≴∭⊉-313456","reverse_text":"≴∭⊉-313456=≴∭⊉26566⫗⊷⫓≴∭⊉23131∋(≴∭⊉30041∽≴∭⊉6651)","cot":[{"info":"≴∭⊉26566⫗⊷⫓≴∭⊉23131=≴∭⊉-251","layer":1},{"info":"≴∭⊉30041∽≴∭⊉6651=≴∭⊉-236535","layer":1},{"info":"≴∭⊉-251∋≴∭⊉-236535=≴∭⊉-313456","layer":0}]}
+{"id":770,"expression_no_base_symbol":"($1055$⪔⊥$1479$)⨔⇊($7593$⊢$1036$)","expression":"(≴∭⊉3035⪔⊥≴∭⊉4212)⨔⇊(≴∭⊉31065⊢≴∭⊉3010)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1055,"base":7},"right_expr":{"type":"numeric_atoms","value":1479,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":7593,"base":7},"right_expr":{"type":"numeric_atoms","value":1036,"base":7}}},"used_operators":["JclMnS0uGI","HJ9erzHUuu","5twsqlHp2o"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":2},{"info":"number node, value=1479","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=1479, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1063","layer":1},{"info":"number node, value=7593","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=7593, right_input=1036, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-15430","layer":1},{"info":"compute binary expreesion, left_input=1063, right_input=-15430, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3035⪔⊥≴∭⊉4212)⨔⇊(≴∭⊉31065⊢≴∭⊉3010)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉3035⪔⊥≴∭⊉4212)⨔⇊(≴∭⊉31065⊢≴∭⊉3010)","cot":[{"info":"≴∭⊉3035⪔⊥≴∭⊉4212=≴∭⊉3046","layer":1},{"info":"≴∭⊉31065⊢≴∭⊉3010=≴∭⊉-62662","layer":1},{"info":"≴∭⊉3046⨔⇊≴∭⊉-62662=≴∭⊉124","layer":0}]}
+{"id":771,"expression_no_base_symbol":"$3422$∴$8622$⫲≸⪮(⨣⨃⇪$2195$)","expression":"≴∭⊉12656∴≴∭⊉34065⫲≸⪮(⨣⨃⇪≴∭⊉6254)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8515,"operation_count":3,"complexity_ratio":2838.3333333333335,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3422,"base":7},"right_expr":{"type":"numeric_atoms","value":8622,"base":7}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2195,"base":7}}},"used_operators":["P3lXMJvFrc","hrf7POJlIJ","AcOhelriW5"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"≴∭⊉33521","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3422","layer":2},{"info":"number node, value=8622","layer":2},{"info":"compute binary expreesion, left_input=3422, right_input=8622, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8492","layer":1},{"info":"number node, value=2195","layer":2},{"info":"compute unary expreesion, input=2195, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=8492, right_input=1405, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8492","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12656∴≴∭⊉34065⫲≸⪮(⨣⨃⇪≴∭⊉6254)=≴∭⊉33521","reverse_text":"≴∭⊉33521=≴∭⊉12656∴≴∭⊉34065⫲≸⪮(⨣⨃⇪≴∭⊉6254)","cot":[{"info":"≴∭⊉12656∴≴∭⊉34065=≴∭⊉33521","layer":1},{"info":"⨣⨃⇪≴∭⊉6254=≴∭⊉4045","layer":1},{"info":"≴∭⊉33521⫲≸⪮≴∭⊉4045=≴∭⊉33521","layer":0}]}
+{"id":772,"expression_no_base_symbol":"(⫛⫱⨽$2256$)⪎↠(⩏⊷≩$3232$)","expression":"(⫛⫱⨽≴∭⊉6402)⪎↠(⩏⊷≩≴∭⊉12265)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1445,"operation_count":3,"complexity_ratio":481.6666666666667,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2256,"base":7}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3232,"base":7}}},"used_operators":["3tVxb0NHM4","DlLNRPXxWL","uOZ1tnYMDE"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","23Mk6UjR3U","12rbrZMWeM"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2256","layer":2},{"info":"compute unary expreesion, input=2256, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3232","layer":2},{"info":"compute unary expreesion, input=3232, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6163","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6163, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":7,"result_base":7,"text":"(⫛⫱⨽≴∭⊉6402)⪎↠(⩏⊷≩≴∭⊉12265)=≴∭⊉2350","reverse_text":"≴∭⊉2350=(⫛⫱⨽≴∭⊉6402)⪎↠(⩏⊷≩≴∭⊉12265)","cot":[{"info":"⫛⫱⨽≴∭⊉6402=≴∭⊉0","layer":1},{"info":"⩏⊷≩≴∭⊉12265=≴∭⊉23653","layer":1},{"info":"≴∭⊉0⪎↠≴∭⊉23653=≴∭⊉2350","layer":0}]}
+{"id":773,"expression_no_base_symbol":"(↯⪼$1820$)⊝⪿⪼(≇⪴$2511$)","expression":"(↯⪼≴∭⊉5210)⊝⪿⪼(≇⪴≴∭⊉10215)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1820,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2511,"base":7}}},"used_operators":["3Oe9XWJUTD","8jW3W4yZS5","zoVPnxeHJ3"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"≴∭⊉121005","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":2},{"info":"compute unary expreesion, input=1820, 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=2511","layer":2},{"info":"compute unary expreesion, input=2511, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6193","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-6193, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=21957","layer":0}],"base":7,"result_base":7,"text":"(↯⪼≴∭⊉5210)⊝⪿⪼(≇⪴≴∭⊉10215)=≴∭⊉121005","reverse_text":"≴∭⊉121005=(↯⪼≴∭⊉5210)⊝⪿⪼(≇⪴≴∭⊉10215)","cot":[{"info":"↯⪼≴∭⊉5210=≴∭⊉-30","layer":1},{"info":"≇⪴≴∭⊉10215=≴∭⊉-24025","layer":1},{"info":"≴∭⊉-30⊝⪿⪼≴∭⊉-24025=≴∭���121005","layer":0}]}
+{"id":774,"expression_no_base_symbol":"⇋⊎⋝($4149$⊋≦⊧$1621$)","expression":"⇋⊎⋝(≴∭⊉15045⊋≦⊧≴∭⊉4504)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3023,"operation_count":2,"complexity_ratio":1511.5,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4149,"base":7},"right_expr":{"type":"numeric_atoms","value":1621,"base":7}}},"used_operators":["CzM2PEoXns","oRDoc9rAEX"],"dependent_operators":["dWAJyo7jo9","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4149","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=4149, right_input=1621, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3002","layer":1},{"info":"compute unary expreesion, input=-3002, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝(≴∭⊉15045⊋≦⊧≴∭⊉4504)=NaN","reverse_text":"NaN=⇋⊎⋝(≴∭⊉15045⊋≦⊧≴∭⊉4504)","cot":[{"info":"≴∭⊉15045⊋≦⊧≴∭⊉4504=≴∭⊉-11516","layer":1},{"info":"⇋⊎⋝≴∭⊉-11516=NaN","layer":0}]}
+{"id":775,"expression_no_base_symbol":"(↨$1066$)⫡⨏$2497$∺≝⩲$3975$","expression":"(↨≴∭⊉3052)⫡⨏≴∭⊉10165∺≝⩲≴∭⊉14406","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":150,"operation_count":3,"complexity_ratio":50.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1066,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2497,"base":7},"right_expr":{"type":"numeric_atoms","value":3975,"base":7}}},"used_operators":["QMFrweE19q","jiX4gk2v2Q","KPf6cnQVty"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1066","layer":2},{"info":"compute unary expreesion, input=1066, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=2497","layer":2},{"info":"number node, value=3975","layer":2},{"info":"compute binary expreesion, left_input=2497, right_input=3975, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↨≴∭⊉3052)⫡⨏≴∭⊉10165∺≝⩲≴∭⊉14406=NaN","reverse_text":"NaN=(↨≴∭⊉3052)⫡⨏≴∭⊉10165∺≝⩲≴∭⊉14406","cot":[{"info":"↨≴∭⊉3052=NaN","layer":1},{"info":"≴∭⊉10165∺≝⩲≴∭⊉14406=≴∭⊉316","layer":1},{"info":"NaN⫡⨏≴∭⊉316=NaN","layer":0}]}
+{"id":776,"expression_no_base_symbol":"($2962$⇞)∲⫓$1153$⇄$1623$","expression":"(≴∭⊉11431⇞)∲⫓≴∭⊉3235⇄≴∭⊉4506","highest_n_order":1,"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":2962,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1153,"base":7},"right_expr":{"type":"numeric_atoms","value":1623,"base":7}}},"used_operators":["i8ToyICDmI","5JYyxRJd4f","3EYGwJThht"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≴∭⊉46201","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2962","layer":2},{"info":"compute unary expreesion, input=2962, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=11761","layer":1},{"info":"number node, value=1153","layer":2},{"info":"number node, value=1623","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=1623, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=11761, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=11761","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11431⇞)∲⫓≴∭⊉3235⇄≴∭⊉4506=≴∭⊉46201","reverse_text":"≴∭⊉46201=(≴∭⊉11431⇞)∲⫓≴∭⊉3235⇄≴∭⊉4506","cot":[{"info":"≴∭⊉11431⇞=≴∭⊉46201","layer":1},{"info":"≴∭⊉3235⇄≴∭⊉4506=≴∭⊉0","layer":1},{"info":"≴∭⊉46201∲⫓≴∭⊉0=≴∭⊉46201","layer":0}]}
+{"id":777,"expression_no_base_symbol":"$1279$⪇≇⋚$4609$⩵∡$3409$≥⨤⩑$1490$","expression":"≴∭⊉3505⪇≇⋚≴∭⊉16303⩵∡≴∭⊉12640≥⨤⩑≴∭⊉4226","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":4609,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3409,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}}},"used_operators":["Y7wcNGrDQJ","3sJ7IOPOlU","gJLn6v0xnP"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≴∭⊉3150","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1279","layer":2},{"info":"number node, value=4609","layer":2},{"info":"compute binary expreesion, left_input=1279, right_input=4609, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3409","layer":2},{"info":"number node, value=1490","layer":2},{"info":"compute binary expreesion, left_input=3409, right_input=1490, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3505⪇≇⋚≴∭⊉16303⩵∡≴∭⊉12640≥⨤⩑≴∭⊉4226=≴∭⊉3150","reverse_text":"≴∭⊉3150=≴∭⊉3505⪇≇⋚≴∭⊉16303⩵∡≴∭⊉12640≥⨤⩑≴∭⊉4226","cot":[{"info":"≴∭⊉3505⪇≇⋚≴∭⊉16303=≴∭⊉0","layer":1},{"info":"≴∭⊉12640≥⨤⩑≴∭⊉4226=≴∭⊉3412","layer":1},{"info":"≴∭⊉0⩵∡≴∭⊉3412=≴∭⊉3150","layer":0}]}
+{"id":778,"expression_no_base_symbol":"$1080$∣$2459$⋅⇍($1812$⪘⨀)","expression":"≴∭⊉3102∣≴∭⊉10112⋅⇍(≴∭⊉5166⪘⨀)","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":1080,"base":7},"right_expr":{"type":"numeric_atoms","value":2459,"base":7}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1812,"base":7}}},"used_operators":["AdZkA7nFnk","PPChnnnBFF","aA7tF3KVD3"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"≴∭⊉-4551","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":2},{"info":"number node, value=2459","layer":2},{"info":"compute binary expreesion, left_input=1080, right_input=2459, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1080","layer":1},{"info":"number node, value=1812","layer":2},{"info":"compute unary expreesion, input=1812, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-4205","layer":1},{"info":"compute binary expreesion, left_input=1080, right_input=-4205, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1653","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3102∣≴∭⊉10112⋅⇍(≴∭⊉5166⪘⨀)=≴∭⊉-4551","reverse_text":"≴∭⊉-4551=≴∭⊉3102∣≴∭⊉10112⋅⇍(≴∭⊉5166⪘⨀)","cot":[{"info":"≴∭⊉3102∣≴∭⊉10112=≴∭⊉3102","layer":1},{"info":"≴∭⊉5166⪘⨀=≴∭⊉-15155","layer":1},{"info":"≴∭⊉3102⋅⇍≴∭⊉-15155=≴∭⊉-4551","layer":0}]}
+{"id":779,"expression_no_base_symbol":"$1500$-$1843$⪁$7314$⪍↜⋙$3199$","expression":"≴∭⊉4242-≴∭⊉5242⪁≴∭⊉30216⪍↜⋙≴∭⊉12220","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8627,"operation_count":3,"complexity_ratio":2875.6666666666665,"tree":{"type":"binary","operator":"���","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1500,"base":7},"right_expr":{"type":"numeric_atoms","value":1843,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":7314,"base":7},"right_expr":{"type":"numeric_atoms","value":3199,"base":7}}},"used_operators":["I7sXao9hZE","rysDP5nf3Z","L05ObWFQCd"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":2},{"info":"number node, value=1843","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=1843, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-343","layer":1},{"info":"number node, value=7314","layer":2},{"info":"number node, value=3199","layer":2},{"info":"compute binary expreesion, left_input=7314, right_input=3199, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8230","layer":1},{"info":"compute binary expreesion, left_input=-343, right_input=8230, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4242-≴∭⊉5242⪁≴∭⊉30216⪍↜⋙≴∭⊉12220=NaN","reverse_text":"NaN=≴∭⊉4242-≴∭⊉5242⪁≴∭⊉30216⪍↜⋙≴∭⊉12220","cot":[{"info":"≴∭⊉4242-≴∭⊉5242=≴∭⊉-1000","layer":1},{"info":"≴∭⊉30216⪍↜⋙≴∭⊉12220=≴∭⊉32665","layer":1},{"info":"≴∭⊉-1000⪁≴∭⊉32665=NaN","layer":0}]}
+{"id":780,"expression_no_base_symbol":"⇵⪽($1589$⪇≇⋚$4473$)","expression":"⇵⪽(≴∭⊉4430⪇≇⋚≴∭⊉16020)","highest_n_order":4,"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":1589,"base":7},"right_expr":{"type":"numeric_atoms","value":4473,"base":7}}},"used_operators":["ZGCBLdVRRX","3sJ7IOPOlU"],"dependent_operators":["U7g4x0WXJJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1589","layer":2},{"info":"number node, value=4473","layer":2},{"info":"compute binary expreesion, left_input=1589, right_input=4473, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⇵⪽(≴∭⊉4430⪇≇⋚≴∭⊉16020)=≴∭⊉0","reverse_text":"≴∭⊉0=⇵⪽(≴∭⊉4430⪇≇⋚≴∭⊉16020)","cot":[{"info":"≴∭⊉4430⪇≇⋚≴∭⊉16020=≴∭⊉0","layer":1},{"info":"⇵⪽≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":781,"expression_no_base_symbol":"$5403$⨿$1001$⊬⨰(⊲⪭$6927$)","expression":"≴∭⊉21516⨿≴∭⊉2630⊬⨰(⊲⪭≴∭⊉26124)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":233,"operation_count":3,"complexity_ratio":77.66666666666667,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5403,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":6927,"base":7}}},"used_operators":["s3Fd5m9Dh2","abYXlopdE0","k7HXdKtiEU"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","i8ToyICDmI","xUOZtlo3hN"],"result":"≴∭⊉-150446","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5403","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=5403, right_input=1001, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=6927","layer":2},{"info":"compute unary expreesion, input=6927, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-7101","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=-7101, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-29042","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21516⨿≴∭⊉2630⊬⨰(⊲⪭≴∭⊉26124)=≴∭⊉-150446","reverse_text":"≴∭⊉-150446=≴∭⊉21516⨿≴∭⊉2630⊬⨰(⊲⪭≴∭⊉26124)","cot":[{"info":"≴∭⊉21516⨿≴∭⊉2630=≴∭⊉-634","layer":1},{"info":"⊲⪭≴∭⊉26124=≴∭⊉-26463","layer":1},{"info":"≴∭⊉-634⊬⨰≴∭⊉-26463=≴∭⊉-150446","layer":0}]}
+{"id":782,"expression_no_base_symbol":"$4189$∳⫺$1289$⊾⪯⋞($2584$∕⩚$2290$)","expression":"≴∭⊉15133∳⫺≴∭⊉3521⊾⪯⋞(≴∭⊉10351∕⩚≴∭⊉6451)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2710,"operation_count":3,"complexity_ratio":903.3333333333334,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4189,"base":7},"right_expr":{"type":"numeric_atoms","value":1289,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2584,"base":7},"right_expr":{"type":"numeric_atoms","value":2290,"base":7}}},"used_operators":["HK0tfVPux8","AzXXKTstlj","z9ffQ9n5Zr"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉-2251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4189","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=4189, right_input=1289, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=2584","layer":2},{"info":"number node, value=2290","layer":2},{"info":"compute binary expreesion, left_input=2584, right_input=2290, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2587","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-2587, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15133∳⫺≴∭⊉3521⊾⪯⋞(≴∭⊉10351∕⩚≴∭⊉6451)=≴∭⊉-2251","reverse_text":"≴∭⊉-2251=≴∭⊉15133∳⫺≴∭⊉3521⊾⪯⋞(≴∭⊉10351∕⩚≴∭⊉6451)","cot":[{"info":"≴∭⊉15133∳⫺≴∭⊉3521=≴∭⊉-521","layer":1},{"info":"≴∭⊉10351∕⩚≴∭⊉6451=≴∭⊉-10354","layer":1},{"info":"≴∭⊉-521⊾⪯⋞≴∭⊉-10354=≴∭⊉-2251","layer":0}]}
+{"id":783,"expression_no_base_symbol":"$4427$↞⋁$1778$⋥≓≎$1825$⇷$3072$","expression":"≴∭⊉15623↞⋁≴∭⊉5120⋥≓≎≴∭⊉5215⇷≴∭⊉11646","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25732,"operation_count":3,"complexity_ratio":8577.333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4427,"base":7},"right_expr":{"type":"numeric_atoms","value":1778,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1825,"base":7},"right_expr":{"type":"numeric_atoms","value":3072,"base":7}}},"used_operators":["Qy55tPpLXF","RqrPlJkxDo","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4427","layer":2},{"info":"number node, value=1778","layer":2},{"info":"compute binary expreesion, left_input=4427, right_input=1778, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1825","layer":2},{"info":"number node, value=3072","layer":2},{"info":"compute binary expreesion, left_input=1825, right_input=3072, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6144","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6144, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15623↞⋁≴∭⊉5120⋥≓≎≴∭⊉5215⇷≴∭⊉11646=≴∭⊉124","reverse_text":"≴∭⊉124=≴∭⊉15623↞⋁≴∭⊉5120⋥≓≎≴∭⊉5215⇷≴∭⊉11646","cot":[{"info":"≴∭⊉15623↞⋁≴∭⊉5120=NaN","layer":1},{"info":"≴∭⊉5215⇷≴∭⊉11646=≴∭⊉23625","layer":1},{"info":"NaN⋥≓≎≴∭⊉23625=≴∭⊉124","layer":0}]}
+{"id":784,"expression_no_base_symbol":"$4171$→⨶⪴$8104$⇌⫙⪟(⊖∈$2238$)","expression":"≴∭⊉15106→⨶⪴≴∭⊉32425⇌⫙⪟(⊖∈≴∭⊉6345)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72,"operation_count":3,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4171,"base":7},"right_expr":{"type":"numeric_atoms","value":8104,"base":7}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2238,"base":7}}},"used_operators":["AFVx7xoS7T","bF6eod5Gvf","YFxL8Sc2Zy"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4171","layer":2},{"info":"number node, value=8104","layer":2},{"info":"compute binary expreesion, left_input=4171, right_input=8104, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-24312","layer":1},{"info":"number node, value=2238","layer":2},{"info":"compute unary expreesion, input=2238, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=39166","layer":1},{"info":"compute binary expreesion, left_input=-24312, right_input=39166, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15106→⨶⪴≴∭⊉32425⇌⫙⪟(⊖∈≴∭⊉6345)=≴∭⊉221","reverse_text":"≴∭⊉221=≴∭⊉15106→⨶⪴≴∭⊉32425⇌⫙⪟(⊖∈≴∭⊉6345)","cot":[{"info":"≴∭⊉15106→⨶⪴≴∭⊉32425=≴∭⊉-130611","layer":1},{"info":"⊖∈≴∭⊉6345=≴∭⊉222121","layer":1},{"info":"≴∭⊉-130611⇌⫙⪟≴∭⊉222121=≴∭⊉221","layer":0}]}
+{"id":785,"expression_no_base_symbol":"($1624$⋥≓≎$5311$)⇌⫙⪟($6899$/$2265$)","expression":"(≴∭⊉4510⋥≓≎≴∭⊉21325)⇌⫙⪟(≴∭⊉26054/≴∭⊉6414)","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":1624,"base":7},"right_expr":{"type":"numeric_atoms","value":5311,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6899,"base":7},"right_expr":{"type":"numeric_atoms","value":2265,"base":7}}},"used_operators":["AFVx7xoS7T","Qy55tPpLXF","XhwjNDsVaA"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1624","layer":2},{"info":"number node, value=5311","layer":2},{"info":"compute binary expreesion, left_input=1624, right_input=5311, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9031","layer":1},{"info":"number node, value=6899","layer":2},{"info":"number node, value=2265","layer":2},{"info":"compute binary expreesion, left_input=6899, right_input=2265, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"compute binary expreesion, left_input=9031, right_input=3, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4510⋥≓≎≴∭⊉21325)⇌⫙⪟(≴∭⊉26054/≴∭⊉6414)=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉4510⋥≓≎≴∭⊉21325)⇌⫙⪟(≴∭⊉26054/≴∭⊉6414)","cot":[{"info":"≴∭⊉4510⋥≓≎≴∭⊉21325=≴∭⊉35221","layer":1},{"info":"≴∭⊉26054/≴∭⊉6414=≴∭⊉3","layer":1},{"info":"≴∭⊉35221⇌⫙⪟≴∭⊉3=≴∭⊉221","layer":0}]}
+{"id":786,"expression_no_base_symbol":"($1885$∀⇚≩$5446$)⨔⇊($1598$⊬⨰$3271$)","expression":"(≴∭⊉5332∀⇚≩≴∭⊉21610)⨔⇊(≴∭⊉4442⊬⨰≴∭⊉12352)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13205,"operation_count":3,"complexity_ratio":4401.666666666667,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1885,"base":7},"right_expr":{"type":"numeric_atoms","value":5446,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1598,"base":7},"right_expr":{"type":"numeric_atoms","value":3271,"base":7}}},"used_operators":["JclMnS0uGI","LRNGc0VcxI","s3Fd5m9Dh2"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","X99M06cbEe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉54504","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1885","layer":2},{"info":"number node, value=5446","layer":2},{"info":"compute binary expreesion, left_input=1885, right_input=5446, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1598","layer":2},{"info":"number node, value=3271","layer":2},{"info":"compute binary expreesion, left_input=1598, right_input=3271, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13626","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13626, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=13626","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5332∀⇚≩≴∭⊉21610)⨔⇊(≴∭⊉4442⊬⨰≴∭⊉12352)=≴∭⊉54504","reverse_text":"≴∭⊉54504=(≴∭⊉5332∀⇚≩≴∭⊉21610)⨔⇊(≴∭⊉4442⊬⨰≴∭⊉12352)","cot":[{"info":"≴∭⊉5332∀⇚≩≴∭⊉21610=NaN","layer":1},{"info":"≴∭⊉4442⊬⨰≴∭⊉12352=≴∭⊉54504","layer":1},{"info":"NaN⨔⇊≴∭⊉54504=≴∭⊉54504","layer":0}]}
+{"id":787,"expression_no_base_symbol":"($1206$∘$5685$)≁($3592$≀⩗∶$6701$)","expression":"(≴∭⊉3342∘≴∭⊉22401)≁(≴∭⊉13321≀⩗∶≴∭⊉25352)","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":1206,"base":7},"right_expr":{"type":"numeric_atoms","value":5685,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3592,"base":7},"right_expr":{"type":"numeric_atoms","value":6701,"base":7}}},"used_operators":["8N2wDY1A35","Z5m6OM72h2","8INZBEW696"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eH2TOUuTDT","rysDP5nf3Z","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"≴∭⊉-35465","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":2},{"info":"number node, value=5685","layer":2},{"info":"compute binary expreesion, left_input=1206, right_input=5685, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2412","layer":1},{"info":"number node, value=3592","layer":2},{"info":"number node, value=6701","layer":2},{"info":"compute binary expreesion, left_input=3592, right_input=6701, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=2412, right_input=-3, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-9161","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3342∘≴∭⊉22401)≁(≴∭⊉13321≀⩗∶≴∭⊉25352)=≴∭⊉-35465","reverse_text":"≴∭⊉-35465=(≴∭⊉3342∘≴∭⊉22401)≁(≴∭⊉13321≀⩗∶≴∭⊉25352)","cot":[{"info":"≴∭⊉3342∘≴∭⊉22401=≴∭⊉10014","layer":1},{"info":"≴∭⊉13321≀⩗∶≴∭⊉25352=≴∭⊉-3","layer":1},{"info":"≴∭⊉10014≁≴∭⊉-3=≴∭⊉-35465","layer":0}]}
+{"id":788,"expression_no_base_symbol":"($1837$∷$4016$)⨪↰⇹$2601$≦↸$1475$","expression":"(≴∭⊉5233∷≴∭⊉14465)⨪↰⇹≴∭⊉10404≦↸≴∭⊉4205","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4039,"operation_count":3,"complexity_ratio":1346.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1837,"base":7},"right_expr":{"type":"numeric_atoms","value":4016,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2601,"base":7},"right_expr":{"type":"numeric_atoms","value":1475,"base":7}}},"used_operators":["tmPS8pqC7x","D3AQDKkPcf","RygbFNSyEJ"],"dependent_operators":["rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉14465","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1837","layer":2},{"info":"number node, value=4016","layer":2},{"info":"compute binary expreesion, left_input=1837, right_input=4016, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4016","layer":1},{"info":"number node, value=2601","layer":2},{"info":"number node, value=1475","layer":2},{"info":"compute binary expreesion, left_input=2601, right_input=1475, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7471","layer":1},{"info":"compute binary expreesion, left_input=4016, right_input=-7471, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4016","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5233∷≴∭⊉14465)⨪↰⇹≴∭⊉10404≦↸≴∭⊉4205=≴∭⊉14465","reverse_text":"≴∭⊉14465=(≴∭⊉5233∷≴∭⊉14465)⨪↰⇹≴∭⊉10404≦↸≴∭⊉4205","cot":[{"info":"≴∭⊉5233∷≴∭⊉14465=≴∭⊉14465","layer":1},{"info":"≴∭⊉10404≦↸≴∭⊉4205=≴∭⊉-30532","layer":1},{"info":"≴∭⊉14465⨪↰⇹≴∭⊉-30532=≴∭⊉14465","layer":0}]}
+{"id":789,"expression_no_base_symbol":"($8069$⊿∆)≀⫉(⨴⫝$1079$)","expression":"(≴∭⊉32345⊿∆)≀⫉(⨴⫝≴∭⊉3101)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1984,"operation_count":3,"complexity_ratio":661.3333333333334,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":8069,"base":7}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1079,"base":7}}},"used_operators":["oZj3VtZNQx","fv3ZujxkQL","SVb2v531z1"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","NTOWxs364D","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8069","layer":2},{"info":"compute unary expreesion, input=8069, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-16259","layer":1},{"info":"number node, value=1079","layer":2},{"info":"compute unary expreesion, input=1079, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"compute binary expreesion, left_input=-16259, right_input=2828198, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32345⊿∆)≀⫉(⨴⫝≴∭⊉3101)=≴∭⊉11141","reverse_text":"≴∭⊉11141=(≴∭⊉32345⊿∆)≀⫉(⨴⫝≴∭⊉3101)","cot":[{"info":"≴∭⊉32345⊿∆=≴∭⊉-65255","layer":1},{"info":"⨴⫝≴∭⊉3101=≴∭⊉33016322","layer":1},{"info":"≴∭⊉-65255≀⫉≴∭⊉33016322=≴∭⊉11141","layer":0}]}
+{"id":790,"expression_no_base_symbol":"↞≼($3726$-$7504$)","expression":"↞≼(≴∭⊉13602-≴∭⊉30610)","highest_n_order":1,"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":3726,"base":7},"right_expr":{"type":"numeric_atoms","value":7504,"base":7}}},"used_operators":["DE7zCoGJt9","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"≴∭⊉-155216","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3726","layer":2},{"info":"number node, value=7504","layer":2},{"info":"compute binary expreesion, left_input=3726, right_input=7504, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3778","layer":1},{"info":"compute unary expreesion, input=-3778, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-30638","layer":0}],"base":7,"result_base":7,"text":"↞≼(≴∭⊉13602-≴∭⊉30610)=≴∭⊉-155216","reverse_text":"≴∭⊉-155216=↞≼(≴∭⊉13602-≴∭⊉30610)","cot":[{"info":"≴∭⊉13602-≴∭⊉30610=≴∭⊉-14005","layer":1},{"info":"↞≼≴∭⊉-14005=≴∭⊉-155216","layer":0}]}
+{"id":791,"expression_no_base_symbol":"$4357$∺≝⩲$1300$⪉⨛($2368$+$2926$)","expression":"≴∭⊉15463∺≝⩲≴∭⊉3535⪉⨛(≴∭⊉6622+≴∭⊉11350)","highest_n_order":1,"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":4357,"base":7},"right_expr":{"type":"numeric_atoms","value":1300,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2368,"base":7},"right_expr":{"type":"numeric_atoms","value":2926,"base":7}}},"used_operators":["EWw2JM7wp4","KPf6cnQVty","W4YGzv6Whe"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≴∭⊉-62164","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4357","layer":2},{"info":"number node, value=1300","layer":2},{"info":"compute binary expreesion, left_input=4357, right_input=1300, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2368","layer":2},{"info":"number node, value=2926","layer":2},{"info":"compute binary expreesion, left_input=2368, right_input=2926, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5294","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5294, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-15187","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15463∺≝⩲≴∭⊉3535⪉⨛(≴∭⊉6622+≴∭⊉11350)=≴∭⊉-62164","reverse_text":"≴∭⊉-62164=≴∭⊉15463∺≝⩲≴∭⊉3535⪉⨛(≴∭⊉6622+≴∭⊉11350)","cot":[{"info":"≴∭⊉15463∺≝⩲≴∭⊉3535=≴∭⊉316","layer":1},{"info":"≴∭⊉6622+≴∭⊉11350=≴∭⊉21302","layer":1},{"info":"≴∭⊉316⪉⨛≴∭⊉21302=≴∭⊉-62164","layer":0}]}
+{"id":792,"expression_no_base_symbol":"($5065$⩷∴$6072$)⊴⇁⪶","expression":"(≴∭⊉20524⩷∴≴∭⊉23463)⊴⇁⪶","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8336,"operation_count":2,"complexity_ratio":4168.0,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5065,"base":7},"right_expr":{"type":"numeric_atoms","value":6072,"base":7}}},"used_operators":["oo9mF6JIpo","9FxExcQeMw"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z"],"result":"≴∭⊉-306421","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5065","layer":2},{"info":"number node, value=6072","layer":2},{"info":"compute binary expreesion, left_input=5065, right_input=6072, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2046","layer":1},{"info":"compute unary expreesion, input=-2046, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-52690","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20524⩷∴≴∭⊉23463)⊴⇁⪶=≴∭⊉-306421","reverse_text":"≴∭⊉-306421=(≴∭⊉20524⩷∴≴∭⊉23463)⊴⇁⪶","cot":[{"info":"≴∭⊉20524⩷∴≴∭⊉23463=≴∭⊉-5652","layer":1},{"info":"≴∭⊉-5652⊴⇁⪶=≴∭⊉-306421","layer":0}]}
+{"id":793,"expression_no_base_symbol":"$1596$⪝$4867$⊭∹↮","expression":"≴∭⊉4440⪝≴∭⊉20122⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":417,"operation_count":2,"complexity_ratio":208.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1596,"base":7},"right_expr":{"type":"numeric_atoms","value":4867,"base":7}}},"used_operators":["xNBdhnnwKq","wicAB68Tmb"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"≴∭⊉456","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1596","layer":2},{"info":"number node, value=4867","layer":2},{"info":"compute binary expreesion, left_input=1596, right_input=4867, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute unary expreesion, input=237, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=237","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4440⪝≴∭⊉20122⊭∹↮=≴∭⊉456","reverse_text":"≴∭⊉456=≴∭⊉4440⪝≴∭⊉20122⊭∹↮","cot":[{"info":"≴∭⊉4440⪝≴∭⊉20122=≴∭⊉456","layer":1},{"info":"≴∭⊉456⊭∹↮=≴∭⊉456","layer":0}]}
+{"id":794,"expression_no_base_symbol":"$3108$⫞⩸⩒$1454$⩺⪪(⊁⨺$8704$)","expression":"≴∭⊉12030⫞⩸⩒≴∭⊉4145⩺⪪(⊁⨺≴∭⊉34243)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3108,"base":7},"right_expr":{"type":"numeric_atoms","value":1454,"base":7}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":8704,"base":7}}},"used_operators":["uvdQJvN4PV","XGcMNugi78","PxiHyQbrIp"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-116660","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3108","layer":2},{"info":"number node, value=1454","layer":2},{"info":"compute binary expreesion, left_input=3108, right_input=1454, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1454","layer":1},{"info":"number node, value=8704","layer":2},{"info":"compute unary expreesion, input=8704, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1454, right_input=160, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-21602","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12030⫞⩸⩒≴∭⊉4145⩺⪪(⊁⨺≴∭⊉34243)=≴∭⊉-116660","reverse_text":"≴∭⊉-116660=≴∭⊉12030⫞⩸⩒≴∭⊉4145⩺⪪(⊁⨺≴∭⊉34243)","cot":[{"info":"≴∭⊉12030⫞⩸⩒≴∭⊉4145=≴∭⊉4145","layer":1},{"info":"⊁⨺≴∭⊉34243=≴∭⊉316","layer":1},{"info":"≴∭⊉4145⩺⪪≴∭⊉316=≴∭⊉-116660","layer":0}]}
+{"id":795,"expression_no_base_symbol":"$4556$⊲⩕⊾$3898$⊹∫⫚(⊙↵-$2674$)","expression":"≴∭⊉16166⊲⩕⊾≴∭⊉14236⊹∫⫚(⊙↵-≴∭⊉10540)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2754,"operation_count":3,"complexity_ratio":918.0,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4556,"base":7},"right_expr":{"type":"numeric_atoms","value":3898,"base":7}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2674,"base":7}}},"used_operators":["uWAJUKEvyW","DmTXOeWf9t","oWn0xqSxBt"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≴∭⊉-4","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4556","layer":2},{"info":"number node, value=3898","layer":2},{"info":"compute binary expreesion, left_input=4556, right_input=3898, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-108506","layer":1},{"info":"number node, value=2674","layer":2},{"info":"compute unary expreesion, input=2674, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-108506, right_input=-1, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-4","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16166⊲⩕⊾≴∭⊉14236⊹∫⫚(⊙↵-≴∭⊉10540)=≴∭⊉-4","reverse_text":"≴∭⊉-4=≴∭⊉16166⊲⩕⊾≴∭⊉14236⊹∫⫚(⊙↵-≴∭⊉10540)","cot":[{"info":"≴∭⊉16166⊲⩕⊾≴∭⊉14236=≴∭⊉-631226","layer":1},{"info":"⊙↵-≴∭⊉10540=≴∭⊉-1","layer":1},{"info":"≴∭⊉-631226⊹∫⫚≴∭⊉-1=≴∭⊉-4","layer":0}]}
+{"id":796,"expression_no_base_symbol":"$2993$∥⊢⊲$4826$⇮⋭($5547$⫭)","expression":"≴∭⊉11504∥⊢⊲≴∭⊉20033⇮⋭(≴∭⊉22113⫭)","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":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2993,"base":7},"right_expr":{"type":"numeric_atoms","value":4826,"base":7}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":5547,"base":7}}},"used_operators":["vkpjKywKVM","v1UQAVDJRr","t4WUHVGj7f"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2993","layer":2},{"info":"number node, value=4826","layer":2},{"info":"compute binary expreesion, left_input=2993, right_input=4826, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=5547","layer":2},{"info":"compute unary expreesion, input=5547, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=16882","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16882, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11504∥⊢⊲≴∭⊉20033⇮⋭(≴∭⊉22113⫭)=≴∭⊉124","reverse_text":"≴∭⊉124=≴∭⊉11504∥⊢⊲≴∭⊉20033⇮⋭(≴∭⊉22113⫭)","cot":[{"info":"≴∭⊉11504∥⊢⊲≴∭⊉20033=NaN","layer":1},{"info":"≴∭⊉22113⫭=≴∭⊉100135","layer":1},{"info":"NaN⇮⋭≴∭⊉100135=≴∭⊉124","layer":0}]}
+{"id":797,"expression_no_base_symbol":"$1729$⫗⊷⫓$5207$⩷∴($3546$⩒⫫$5026$)","expression":"≴∭⊉5020⫗⊷⫓≴∭⊉21116⩷∴(≴∭⊉13224⩒⫫≴∭⊉20440)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":675,"operation_count":3,"complexity_ratio":225.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1729,"base":7},"right_expr":{"type":"numeric_atoms","value":5207,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3546,"base":7},"right_expr":{"type":"numeric_atoms","value":5026,"base":7}}},"used_operators":["9FxExcQeMw","zashukvMKz","KFSx94NKJn"],"dependent_operators":["rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉-25535","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1729","layer":2},{"info":"number node, value=5207","layer":2},{"info":"compute binary expreesion, left_input=1729, right_input=5207, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"number node, value=3546","layer":2},{"info":"number node, value=5026","layer":2},{"info":"compute binary expreesion, left_input=3546, right_input=5026, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3244","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=3244, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6788","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5020⫗⊷⫓≴∭⊉21116⩷∴(≴∭⊉13224⩒⫫≴∭⊉20440)=≴∭⊉-25535","reverse_text":"≴∭⊉-25535=≴∭⊉5020⫗⊷⫓≴∭⊉21116⩷∴(≴∭⊉13224⩒⫫≴∭⊉20440)","cot":[{"info":"≴∭⊉5020⫗⊷⫓≴∭⊉21116=≴∭⊉-251","layer":1},{"info":"≴∭⊉13224⩒⫫≴∭⊉20440=≴∭⊉12313","layer":1},{"info":"≴∭⊉-251⩷∴≴∭⊉12313=≴∭⊉-25535","layer":0}]}
+{"id":798,"expression_no_base_symbol":"$4704$⋣⋖$1912$≭($1960$⨎$5473$)","expression":"≴∭⊉16500⋣⋖≴∭⊉5401≭(≴∭⊉5500⨎≴∭⊉21646)","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":4704,"base":7},"right_expr":{"type":"numeric_atoms","value":1912,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1960,"base":7},"right_expr":{"type":"numeric_atoms","value":5473,"base":7}}},"used_operators":["rxpJgHHUmx","J0M6qkBnIM","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4704","layer":2},{"info":"number node, value=1912","layer":2},{"info":"compute binary expreesion, left_input=4704, right_input=1912, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4704","layer":1},{"info":"number node, value=1960","layer":2},{"info":"number node, value=5473","layer":2},{"info":"compute binary expreesion, left_input=1960, right_input=5473, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5473","layer":1},{"info":"compute binary expreesion, left_input=4704, right_input=5473, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":7,"result_base":7,"text":"≴∭⊉16500⋣⋖≴∭⊉5401≭(≴∭⊉5500⨎≴∭⊉21646)=NaN","reverse_text":"NaN=≴∭⊉16500⋣⋖≴∭⊉5401≭(≴∭⊉5500⨎≴∭⊉21646)","cot":[{"info":"≴∭⊉16500⋣⋖≴∭⊉5401=≴∭⊉16500","layer":1},{"info":"≴∭⊉5500⨎≴∭⊉21646=≴∭⊉21646","layer":1},{"info":"≴∭⊉16500≭≴∭⊉21646=NaN","layer":0}]}
+{"id":799,"expression_no_base_symbol":"($3047$⇷$3291$)⪢($1024$⩇∃⫛$2859$)","expression":"(≴∭⊉11612⇷≴∭⊉12411)⪢(≴∭⊉2662⩇∃⫛≴∭⊉11223)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46394,"operation_count":3,"complexity_ratio":15464.666666666666,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3047,"base":7},"right_expr":{"type":"numeric_atoms","value":3291,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1024,"base":7},"right_expr":{"type":"numeric_atoms","value":2859,"base":7}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","1aApVXNlOP"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3047","layer":2},{"info":"number node, value=3291","layer":2},{"info":"compute binary expreesion, left_input=3047, right_input=3291, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6582","layer":1},{"info":"number node, value=1024","layer":2},{"info":"number node, value=2859","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=2859, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2308","layer":1},{"info":"compute binary expreesion, left_input=6582, right_input=2308, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":7,"result_base":7,"text":"(≴∭⊉11612⇷≴∭⊉12411)⪢(≴∭⊉2662⩇∃⫛≴∭⊉11223)=NaN","reverse_text":"NaN=(≴∭⊉11612⇷≴∭⊉12411)⪢(≴∭⊉2662⩇∃⫛≴∭⊉11223)","cot":[{"info":"≴∭⊉11612⇷≴∭⊉12411=≴∭⊉25122","layer":1},{"info":"≴∭⊉2662⩇∃⫛≴∭⊉11223=≴∭⊉6505","layer":1},{"info":"≴∭⊉25122⪢≴∭⊉6505=NaN","layer":0}]}
+{"id":800,"expression_no_base_symbol":"(⇜$5518$)+(⇠$1608$)","expression":"(⇜≴∭⊉22042)+(⇠≴∭⊉4455)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":330,"operation_count":3,"complexity_ratio":110.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":5518,"base":7}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1608,"base":7}}},"used_operators":["W4YGzv6Whe","lFBm8KRb8F","18saOjeKKm"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"≴∭⊉-250605","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5518","layer":2},{"info":"compute unary expreesion, input=5518, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-44552","layer":1},{"info":"number node, value=1608","layer":2},{"info":"compute unary expreesion, input=1608, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1366","layer":1},{"info":"compute binary expreesion, left_input=-44552, right_input=-1366, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-45918","layer":0}],"base":7,"result_base":7,"text":"(⇜≴∭⊉22042)+(⇠≴∭⊉4455)=≴∭⊉-250605","reverse_text":"≴∭⊉-250605=(⇜≴∭⊉22042)+(⇠≴∭⊉4455)","cot":[{"info":"⇜≴∭⊉22042=≴∭⊉-243614","layer":1},{"info":"⇠≴∭⊉4455=≴∭⊉-3661","layer":1},{"info":"≴∭⊉-243614+≴���⊉-3661=≴∭⊉-250605","layer":0}]}
+{"id":801,"expression_no_base_symbol":"(↘$2697$)-$2108$⊾⪯⋞$6841$","expression":"(↘≴∭⊉10602)-≴∭⊉6101⊾⪯⋞≴∭⊉25642","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2697,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2108,"base":7},"right_expr":{"type":"numeric_atoms","value":6841,"base":7}}},"used_operators":["rysDP5nf3Z","LdNpr8hQHL","HK0tfVPux8"],"dependent_operators":["uFcxV4UQCh","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-52433","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2697","layer":2},{"info":"compute unary expreesion, input=2697, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=345","layer":1},{"info":"number node, value=2108","layer":2},{"info":"number node, value=6841","layer":2},{"info":"compute binary expreesion, left_input=2108, right_input=6841, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=13256","layer":1},{"info":"compute binary expreesion, left_input=345, right_input=13256, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-12911","layer":0}],"base":7,"result_base":7,"text":"(↘≴∭⊉10602)-≴∭⊉6101⊾⪯⋞≴∭⊉25642=≴∭⊉-52433","reverse_text":"≴∭⊉-52433=(↘≴∭⊉10602)-≴∭⊉6101⊾⪯⋞≴∭⊉25642","cot":[{"info":"↘≴∭⊉10602=≴∭⊉1002","layer":1},{"info":"≴∭⊉6101⊾⪯⋞≴∭⊉25642=≴∭⊉53435","layer":1},{"info":"≴∭⊉1002-≴∭⊉53435=≴∭⊉-52433","layer":0}]}
+{"id":802,"expression_no_base_symbol":"↪⫪⫘($2649$∙⊟$5912$)","expression":"↪⫪⫘(≴∭⊉10503∙⊟≴∭⊉23144)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4490,"operation_count":2,"complexity_ratio":2245.0,"tree":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2649,"base":7},"right_expr":{"type":"numeric_atoms","value":5912,"base":7}}},"used_operators":["9dWsAM3GFt","SxTAKzQCrw"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":2},{"info":"number node, value=5912","layer":2},{"info":"compute binary expreesion, left_input=2649, right_input=5912, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=44283","layer":1},{"info":"compute unary expreesion, input=44283, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":7,"result_base":7,"text":"↪⫪⫘(≴∭⊉10503∙⊟≴∭⊉23144)=≴∭⊉26","reverse_text":"≴∭⊉26=↪⫪⫘(≴∭⊉10503∙⊟≴∭⊉23144)","cot":[{"info":"≴∭⊉10503∙⊟≴∭⊉23144=≴∭⊉243051","layer":1},{"info":"↪⫪⫘≴∭⊉243051=≴∭⊉26","layer":0}]}
+{"id":803,"expression_no_base_symbol":"($3286$⇪⋭)⨘","expression":"(≴∭⊉12403⇪⋭)⨘","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":3286,"base":7}}},"used_operators":["ljcfZBUpm8","Z8Yg6dlDSp"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3286","layer":2},{"info":"compute unary expreesion, input=3286, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12403⇪⋭)⨘=NaN","reverse_text":"NaN=(≴∭⊉12403⇪⋭)⨘","cot":[{"info":"≴∭⊉12403⇪⋭=NaN","layer":1},{"info":"NaN⨘=NaN","layer":0}]}
+{"id":804,"expression_no_base_symbol":"$8691$⨻⩈⩔$8289$⨴∎","expression":"≴∭⊉34224⨻⩈⩔≴∭⊉33111⨴∎","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":61278,"operation_count":2,"complexity_ratio":30639.0,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8691,"base":7},"right_expr":{"type":"numeric_atoms","value":8289,"base":7}}},"used_operators":["CpSg5vQTgA","nEsXyWgiOK"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8691","layer":2},{"info":"number node, value=8289","layer":2},{"info":"compute binary expreesion, left_input=8691, right_input=8289, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=61127","layer":1},{"info":"compute unary expreesion, input=61127, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉34224⨻⩈⩔≴∭⊉33111⨴∎=NaN","reverse_text":"NaN=≴∭⊉34224⨻⩈⩔≴∭⊉33111⨴∎","cot":[{"info":"≴∭⊉34224⨻⩈⩔≴∭⊉33111=≴∭⊉343133","layer":1},{"info":"≴∭⊉343133⨴∎=NaN","layer":0}]}
+{"id":805,"expression_no_base_symbol":"($2519$∙⊟$3304$)⨐(∓$1043$)","expression":"(≴∭⊉10226∙⊟≴∭⊉12430)⨐(∓≴∭⊉3020)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2614,"operation_count":3,"complexity_ratio":871.3333333333334,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2519,"base":7},"right_expr":{"type":"numeric_atoms","value":3304,"base":7}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1043,"base":7}}},"used_operators":["Noe24qw2ks","SxTAKzQCrw","OwUj7dcsQK"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-503233","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2519","layer":2},{"info":"number node, value=3304","layer":2},{"info":"compute binary expreesion, left_input=2519, right_input=3304, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=42593","layer":1},{"info":"number node, value=1043","layer":2},{"info":"compute unary expreesion, input=1043, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-20517","layer":1},{"info":"compute binary expreesion, left_input=42593, right_input=-20517, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-85186","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10226∙⊟≴∭⊉12430)⨐(∓≴∭⊉3020)=≴∭⊉-503233","reverse_text":"≴∭⊉-503233=(≴∭⊉10226∙⊟≴∭⊉12430)⨐(∓≴∭⊉3020)","cot":[{"info":"≴∭⊉10226∙⊟≴∭⊉12430=≴∭⊉235115","layer":1},{"info":"∓≴∭⊉3020=≴∭⊉-113550","layer":1},{"info":"≴∭⊉235115⨐≴∭⊉-113550=≴∭⊉-503233","layer":0}]}
+{"id":806,"expression_no_base_symbol":"(→⩰$2334$)≬⇓(↓⇌$4595$)","expression":"(→⩰≴∭⊉6543)≬⇓(↓⇌≴∭⊉16253)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2723,"operation_count":3,"complexity_ratio":907.6666666666666,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2334,"base":7}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":4595,"base":7}}},"used_operators":["jWTQ2TZYIH","o8Pngz0Tml","PxpmPgHHJV"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2334","layer":2},{"info":"compute unary expreesion, input=2334, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=4595","layer":2},{"info":"compute unary expreesion, input=4595, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4595","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4595, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(→⩰≴∭⊉6543)≬⇓(↓⇌≴∭⊉16253)=≴∭⊉-31","reverse_text":"≴∭⊉-31=(→⩰≴∭⊉6543)≬⇓(↓⇌≴∭⊉16253)","cot":[{"info":"→⩰≴∭⊉6543=NaN","layer":1},{"info":"↓⇌≴∭⊉16253=≴∭⊉16253","layer":1},{"info":"NaN≬⇓≴∭⊉16253=≴∭⊉-31","layer":0}]}
+{"id":807,"expression_no_base_symbol":"(⫎≠⋺$2757$)↬(⨩∲⋌$6412$)","expression":"(⫎≠⋺≴∭⊉11016)↬(⨩∲⋌≴∭⊉24460)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2757,"base":7}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":6412,"base":7}}},"used_operators":["B5M0gjZbta","LYeZOJ0nQG","aSik1wnThz"],"dependent_operators":["rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"≴∭⊉-26135","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2757","layer":2},{"info":"compute unary expreesion, input=2757, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"number node, value=6412","layer":2},{"info":"compute unary expreesion, input=6412, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6935","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6935, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-6935","layer":0}],"base":7,"result_base":7,"text":"(⫎≠⋺≴∭⊉11016)↬(⨩∲⋌≴∭⊉24460)=≴∭⊉-26135","reverse_text":"≴∭⊉-26135=(⫎≠⋺≴∭⊉11016)↬(⨩∲⋌≴∭⊉24460)","cot":[{"info":"⫎≠⋺≴∭⊉11016=≴∭⊉0","layer":1},{"info":"⨩∲⋌≴∭⊉24460=≴∭⊉-26135","layer":1},{"info":"≴∭⊉0↬≴∭⊉-26135=≴∭⊉-26135","layer":0}]}
+{"id":808,"expression_no_base_symbol":"$2744$⫯⪬∳$5620$∠↢(↞≼$4787$)","expression":"≴∭⊉11000⫯⪬∳≴∭⊉22246∠↢(↞≼≴∭⊉16646)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2744,"base":7},"right_expr":{"type":"numeric_atoms","value":5620,"base":7}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4787,"base":7}}},"used_operators":["KbjG8mgYpV","d7ASUq0ydm","DE7zCoGJt9"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"≴∭⊉-4526616","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2744","layer":2},{"info":"number node, value=5620","layer":2},{"info":"compute binary expreesion, left_input=2744, right_input=5620, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8133","layer":1},{"info":"number node, value=4787","layer":2},{"info":"compute unary expreesion, input=4787, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=37882","layer":1},{"info":"compute binary expreesion, left_input=8133, right_input=37882, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-561798","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11000⫯⪬∳≴∭⊉22246∠↢(↞≼≴∭⊉16646)=≴∭⊉-4526616","reverse_text":"≴∭⊉-4526616=≴∭⊉11000⫯⪬∳≴∭⊉22246∠↢(↞≼≴∭⊉16646)","cot":[{"info":"≴∭⊉11000⫯⪬∳≴∭⊉22246=≴∭⊉32466","layer":1},{"info":"↞≼≴∭⊉16646=≴∭⊉215305","layer":1},{"info":"≴∭⊉32466∠↢≴∭⊉215305=≴∭⊉-4526616","layer":0}]}
+{"id":809,"expression_no_base_symbol":"($2555$⩘)⩹$1376$⫸⊐$1588$","expression":"(≴∭⊉10310⩘)⩹≴∭⊉4004⫸⊐≴∭⊉4426","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2555,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1376,"base":7},"right_expr":{"type":"numeric_atoms","value":1588,"base":7}}},"used_operators":["2Wsdkap16l","wvHyciQT5X","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9ICcGScMcE","dfKe02y8D2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉24102","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":2},{"info":"compute unary expreesion, input=2555, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=1376","layer":2},{"info":"number node, value=1588","layer":2},{"info":"compute binary expreesion, left_input=1376, right_input=1588, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6227","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=6227, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=6225","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10310⩘)⩹≴∭⊉4004⫸⊐≴∭⊉4426=≴∭⊉24102","reverse_text":"≴∭⊉24102=(≴∭⊉10310⩘)⩹≴∭⊉4004⫸⊐≴∭⊉4426","cot":[{"info":"≴∭⊉10310⩘=≴∭⊉124","layer":1},{"info":"≴∭⊉4004⫸⊐≴∭⊉4426=≴∭⊉24104","layer":1},{"info":"≴∭⊉124⩹≴∭⊉24104=≴∭⊉24102","layer":0}]}
+{"id":810,"expression_no_base_symbol":"($1348$⩤)⪡($3932$≳⇉$3144$)","expression":"(≴∭⊉3634⩤)⪡(≴∭⊉14315≳⇉≴∭⊉12111)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":159182038,"operation_count":3,"complexity_ratio":53060679.333333336,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1348,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3932,"base":7},"right_expr":{"type":"numeric_atoms","value":3144,"base":7}}},"used_operators":["oraRL2iQuh","Z2TMIBDE3Q","V0kx6qeWkN"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"≴∭⊉13453","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1348","layer":2},{"info":"compute unary expreesion, input=1348, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1348","layer":1},{"info":"number node, value=3932","layer":2},{"info":"number node, value=3144","layer":2},{"info":"compute binary expreesion, left_input=3932, right_input=3144, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1348, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=3664","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3634⩤)⪡(≴∭⊉14315≳⇉≴∭⊉12111)=≴∭⊉13453","reverse_text":"≴∭⊉13453=(≴∭⊉3634⩤)⪡(≴∭⊉14315≳⇉≴∭⊉12111)","cot":[{"info":"≴∭⊉3634⩤=≴∭⊉-3634","layer":1},{"info":"≴∭⊉14315≳⇉≴∭⊉12111=NaN","layer":1},{"info":"≴∭⊉-3634⪡NaN=≴∭⊉13453","layer":0}]}
+{"id":811,"expression_no_base_symbol":"($1715$⪛⫼$1166$)⪮%⊝(⩒∊$7917$)","expression":"(≴∭⊉5000⪛⫼≴∭⊉3254)⪮%⊝(⩒∊≴∭⊉32040)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":127,"operation_count":3,"complexity_ratio":42.333333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1715,"base":7},"right_expr":{"type":"numeric_atoms","value":1166,"base":7}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":7917,"base":7}}},"used_operators":["IWmyXbctLI","hyuBjUqXlG","qazvmhNBbN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"≴∭⊉6365","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1715","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=1715, right_input=1166, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"number node, value=7917","layer":2},{"info":"compute unary expreesion, input=7917, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=15077","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=15077, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2252","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5000⪛⫼≴∭⊉3254)⪮%⊝(⩒∊≴∭⊉32040)=≴∭⊉6365","reverse_text":"≴∭⊉6365=(≴∭⊉5000⪛⫼≴∭⊉3254)⪮%⊝(⩒∊≴∭⊉32040)","cot":[{"info":"≴∭⊉5000⪛⫼≴∭⊉3254=≴∭⊉2552","layer":1},{"info":"⩒∊≴∭⊉32040=≴∭⊉61646","layer":1},{"info":"≴∭⊉2552⪮%⊝≴∭⊉61646=≴∭⊉6365","layer":0}]}
+{"id":812,"expression_no_base_symbol":"$2583$↹⊜$4663$≓∲$3246$⋭≵$1142$","expression":"≴∭⊉10350↹⊜≴∭⊉16411≓∲≴∭⊉12315⋭≵≴∭⊉3221","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":603,"operation_count":3,"complexity_ratio":201.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2583,"base":7},"right_expr":{"type":"numeric_atoms","value":4663,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3246,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}},"used_operators":["s1XTVnmDOJ","9bazX3JMtO","jBncVCNhdl"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2583","layer":2},{"info":"number node, value=4663","layer":2},{"info":"compute binary expreesion, left_input=2583, right_input=4663, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13582","layer":1},{"info":"number node, value=3246","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=3246, right_input=1142, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-13582, right_input=67, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10350↹⊜≴∭⊉16411≓∲≴∭⊉12315⋭≵≴∭⊉3221=≴∭⊉124","reverse_text":"≴∭⊉124=≴∭⊉10350↹⊜≴∭⊉16411≓∲≴∭⊉12315⋭≵≴∭⊉3221","cot":[{"info":"≴∭⊉10350↹⊜≴∭⊉16411=≴∭⊉-54412","layer":1},{"info":"≴∭⊉12315⋭≵≴∭⊉3221=≴∭⊉124","layer":1},{"info":"≴∭⊉-54412≓∲≴∭⊉124=≴∭⊉124","layer":0}]}
+{"id":813,"expression_no_base_symbol":"($4320$∖$2446$)≳⇉($2076$↙$2492$)","expression":"(≴∭⊉15411∖≴∭⊉10063)≳⇉(≴∭⊉6024↙≴∭⊉10160)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17887,"operation_count":3,"complexity_ratio":5962.333333333333,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4320,"base":7},"right_expr":{"type":"numeric_atoms","value":2446,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2076,"base":7},"right_expr":{"type":"numeric_atoms","value":2492,"base":7}}},"used_operators":["V0kx6qeWkN","tXD093vOjl","yyfyN0ffXY"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4320","layer":2},{"info":"number node, value=2446","layer":2},{"info":"compute binary expreesion, left_input=4320, right_input=2446, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"number node, value=2076","layer":2},{"info":"number node, value=2492","layer":2},{"info":"compute binary expreesion, left_input=2076, right_input=2492, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7476","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7476, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15411∖≴∭⊉10063)≳⇉(≴∭⊉6024↙≴∭⊉10160)=NaN","reverse_text":"NaN=(≴∭⊉15411∖≴∭⊉10063)≳⇉(≴∭⊉6024↙≴∭⊉10160)","cot":[{"info":"≴∭⊉15411∖≴∭⊉10063=≴∭⊉0","layer":1},{"info":"≴∭⊉6024↙≴∭⊉10160=≴∭⊉-30540","layer":1},{"info":"≴∭⊉0≳⇉≴∭⊉-30540=NaN","layer":0}]}
+{"id":814,"expression_no_base_symbol":"($4877$⊵↤)∴($1525$⫥∨⫟$1983$)","expression":"(≴∭⊉20135⊵↤)∴(≴∭⊉4306⫥∨⫟≴∭⊉5532)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":192,"operation_count":3,"complexity_ratio":64.0,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":4877,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1525,"base":7},"right_expr":{"type":"numeric_atoms","value":1983,"base":7}}},"used_operators":["hrf7POJlIJ","7IPrd9c3lf","KYD54nUTWz"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≴∭⊉5124","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4877","layer":2},{"info":"compute unary expreesion, input=4877, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"number node, value=1525","layer":2},{"info":"number node, value=1983","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=1983, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1782","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20135⊵↤)∴(≴∭⊉4306⫥∨⫟≴∭⊉5532)=≴∭⊉5124","reverse_text":"≴∭⊉5124=(≴∭⊉20135⊵↤)∴(≴∭⊉4306⫥∨⫟≴∭⊉5532)","cot":[{"info":"≴∭⊉20135⊵↤=≴∭⊉124","layer":1},{"info":"≴∭⊉4306⫥∨⫟≴∭⊉5532=NaN","layer":1},{"info":"≴∭⊉124∴NaN=≴∭⊉5124","layer":0}]}
+{"id":815,"expression_no_base_symbol":"($1111$⫭)⊋$3454$+⪬∐$7909$","expression":"(≴∭⊉3145⫭)⊋≴∭⊉13033+⪬∐≴∭⊉32026","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":89,"operation_count":3,"complexity_ratio":29.666666666666668,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1111,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3454,"base":7},"right_expr":{"type":"numeric_atoms","value":7909,"base":7}}},"used_operators":["W4tP9CfskL","t4WUHVGj7f","2GS7woTJqF"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2"],"result":"≴∭⊉-1544046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"compute unary expreesion, input=1111, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3574","layer":1},{"info":"number node, value=3454","layer":2},{"info":"number node, value=7909","layer":2},{"info":"compute binary expreesion, left_input=3454, right_input=7909, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10362","layer":1},{"info":"compute binary expreesion, left_input=3574, right_input=-10362, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-212694","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3145⫭)⊋≴∭⊉13033+⪬∐≴∭⊉32026=≴∭⊉-1544046","reverse_text":"≴∭⊉-1544046=(≴∭⊉3145⫭)⊋≴∭⊉13033+⪬∐≴∭⊉32026","cot":[{"info":"≴∭⊉3145⫭=≴∭⊉13264","layer":1},{"info":"≴∭⊉13033+⪬∐≴∭⊉32026=≴∭⊉-42132","layer":1},{"info":"≴∭⊉13264⊋≴∭⊉-42132=≴∭⊉-1544046","layer":0}]}
+{"id":816,"expression_no_base_symbol":"(∟⋨$1395$)⫯⪬∳($5468$≃$1062$)","expression":"(∟⋨≴∭⊉4032)⫯⪬∳(≴∭⊉21641≃≴∭⊉3045)","highest_n_order":3,"priority_hierarchical_complexity":2,"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":1395,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5468,"base":7},"right_expr":{"type":"numeric_atoms","value":1062,"base":7}}},"used_operators":["d7ASUq0ydm","ctOc4cKSDt","YbVcJGFEVW"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉6406","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1395","layer":2},{"info":"compute unary expreesion, input=1395, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-911","layer":1},{"info":"number node, value=5468","layer":2},{"info":"number node, value=1062","layer":2},{"info":"compute binary expreesion, left_input=5468, right_input=1062, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-21912","layer":1},{"info":"compute binary expreesion, left_input=-911, right_input=-21912, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2260","layer":0}],"base":7,"result_base":7,"text":"(∟⋨≴∭⊉4032)⫯⪬∳(≴∭⊉21641≃≴∭⊉3045)=≴∭⊉6406","reverse_text":"≴∭⊉6406=(∟⋨≴∭⊉4032)⫯⪬∳(≴∭⊉21641≃≴∭⊉3045)","cot":[{"info":"∟⋨≴∭⊉4032=≴∭⊉-2441","layer":1},{"info":"≴∭⊉21641≃≴∭⊉3045=≴∭⊉-120612","layer":1},{"info":"≴∭⊉-2441⫯⪬∳≴∭⊉-120612=≴∭⊉6406","layer":0}]}
+{"id":817,"expression_no_base_symbol":"($2811$∙∹∝$8655$)⪎↠($1768$∙⊟$2159$)","expression":"(≴∭⊉11124∙∹∝≴∭⊉34143)⪎↠(≴∭⊉5104∙⊟≴∭⊉6203)","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":2811,"base":7},"right_expr":{"type":"numeric_atoms","value":8655,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1768,"base":7},"right_expr":{"type":"numeric_atoms","value":2159,"base":7}}},"used_operators":["3tVxb0NHM4","HmxsFra2vL","SxTAKzQCrw"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2811","layer":2},{"info":"number node, value=8655","layer":2},{"info":"compute binary expreesion, left_input=2811, right_input=8655, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1768","layer":2},{"info":"number node, value=2159","layer":2},{"info":"compute binary expreesion, left_input=1768, right_input=2159, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32830","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=32830, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11124∙∹∝≴∭⊉34143)⪎↠(≴∭⊉5104∙⊟≴∭⊉6203)=≴∭⊉2350","reverse_text":"≴∭⊉2350=(≴∭⊉11124∙∹∝≴∭⊉34143)⪎↠(≴∭⊉5104∙⊟≴∭⊉6203)","cot":[{"info":"≴∭⊉11124∙∹∝≴∭⊉34143=≴∭⊉0","layer":1},{"info":"≴∭⊉5104∙⊟≴∭⊉6203=≴∭⊉164500","layer":1},{"info":"≴∭⊉0⪎↠≴∭⊉164500=≴∭⊉2350","layer":0}]}
+{"id":818,"expression_no_base_symbol":"⨛$3733$⇷$1524$","expression":"⨛≴∭⊉13612⇷≴∭⊉4305","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52313,"operation_count":2,"complexity_ratio":26156.5,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3733,"base":7},"right_expr":{"type":"numeric_atoms","value":1524,"base":7}}},"used_operators":["CoMdbyAt7R","mp7IySMOzn"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3733","layer":2},{"info":"number node, value=1524","layer":2},{"info":"compute binary expreesion, left_input=3733, right_input=1524, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3048","layer":1},{"info":"compute unary expreesion, input=3048, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨛≴∭⊉13612⇷≴∭⊉4305=NaN","reverse_text":"NaN=⨛≴∭⊉13612⇷≴∭⊉4305","cot":[{"info":"≴∭⊉13612⇷≴∭⊉4305=≴∭⊉11613","layer":1},{"info":"⨛≴∭⊉11613=NaN","layer":0}]}
+{"id":819,"expression_no_base_symbol":"($2784$⫃⨇$1047$)⪨⊡(∑⇻≧$2353$)","expression":"(≴∭⊉11055⫃⨇≴∭⊉3024)⪨⊡(∑⇻≧≴∭⊉6601)","highest_n_order":1,"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":2784,"base":7},"right_expr":{"type":"numeric_atoms","value":1047,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2353,"base":7}}},"used_operators":["kuIXHzHcAH","09Ly4LVMIf","l1M9WJ3V7u"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"≴∭⊉15144","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=2784, right_input=1047, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4220","layer":1},{"info":"number node, value=2353","layer":2},{"info":"compute unary expreesion, input=2353, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=-4220, right_input=-852, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=4197","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11055⫃⨇≴∭⊉3024)⪨⊡(∑⇻≧≴∭⊉6601)=≴∭⊉15144","reverse_text":"≴∭⊉15144=(≴∭⊉11055⫃⨇≴∭⊉3024)⪨⊡(∑⇻≧≴∭⊉6601)","cot":[{"info":"≴∭⊉11055⫃⨇≴∭⊉3024=≴∭⊉-15206","layer":1},{"info":"∑⇻≧≴∭⊉6601=≴∭⊉-2325","layer":1},{"info":"≴∭⊉-15206⪨⊡≴∭⊉-2325=≴∭⊉15144","layer":0}]}
+{"id":820,"expression_no_base_symbol":"(≸$5142$)⋾⨃∁(↯⪼$4611$)","expression":"(≸≴∭⊉20664)⋾⨃∁(↯⪼≴∭⊉16305)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":140,"operation_count":3,"complexity_ratio":46.666666666666664,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":5142,"base":7}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4611,"base":7}}},"used_operators":["212REbPD9h","eOf03JbCpp","8jW3W4yZS5"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"≴∭⊉16214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5142","layer":2},{"info":"compute unary expreesion, input=5142, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":1},{"info":"number node, value=4611","layer":2},{"info":"compute unary expreesion, input=4611, 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=58, right_input=-21, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=4568","layer":0}],"base":7,"result_base":7,"text":"(≸≴∭⊉20664)⋾⨃∁(↯⪼≴∭⊉16305)=≴∭⊉16214","reverse_text":"≴∭⊉16214=(≸≴∭⊉20664)⋾⨃∁(↯⪼≴∭⊉16305)","cot":[{"info":"≸≴∭⊉20664=≴∭⊉112","layer":1},{"info":"↯⪼≴∭⊉16305=≴∭⊉-30","layer":1},{"info":"≴∭⊉112⋾⨃∁≴∭⊉-30=≴∭⊉16214","layer":0}]}
+{"id":821,"expression_no_base_symbol":"($4003$∀⋜↑)∑⇟⊟($1429$∠⫱$4985$)","expression":"(≴∭⊉14446∀⋜↑)∑⇟⊟(≴∭⊉4111∠⫱≴∭⊉20351)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4003,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1429,"base":7},"right_expr":{"type":"numeric_atoms","value":4985,"base":7}}},"used_operators":["U7g4x0WXJJ","KipPnG1M2J","QvoQhV0rrE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4003","layer":2},{"info":"compute unary expreesion, input=4003, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"number node, value=1429","layer":2},{"info":"number node, value=4985","layer":2},{"info":"compute binary expreesion, left_input=1429, right_input=4985, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=1234, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14446∀⋜↑)∑⇟⊟(≴∭⊉4111∠⫱≴∭⊉20351)=NaN","reverse_text":"NaN=(≴∭⊉14446∀⋜↑)∑⇟⊟(≴∭⊉4111∠⫱≴∭⊉20351)","cot":[{"info":"≴∭⊉14446∀⋜↑=≴∭⊉-1261","layer":1},{"info":"≴∭⊉4111∠⫱≴∭⊉20351=≴∭⊉3412","layer":1},{"info":"≴∭⊉-1261∑⇟⊟≴∭⊉3412=NaN","layer":0}]}
+{"id":822,"expression_no_base_symbol":"(⨆≐≲$2907$)⨂≜(⋣$1215$)","expression":"(⨆≐≲≴∭⊉11322)⨂≜(⋣≴∭⊉3354)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31481048,"operation_count":3,"complexity_ratio":10493682.666666666,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2907,"base":7}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1215,"base":7}}},"used_operators":["k1SHOSEABc","Bi9z9uYZqW","zQWRhDnn8F"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2907","layer":2},{"info":"compute unary expreesion, input=2907, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=31480728","layer":1},{"info":"number node, value=1215","layer":2},{"info":"compute unary expreesion, input=1215, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-357115","layer":1},{"info":"compute binary expreesion, left_input=31480728, right_input=-357115, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨆≐≲≴∭⊉11322)⨂≜(⋣≴∭⊉3354)=NaN","reverse_text":"NaN=(⨆≐≲≴∭⊉11322)⨂≜(⋣≴∭⊉3354)","cot":[{"info":"⨆≐≲≴∭⊉11322=≴∭⊉531403356","layer":1},{"info":"⋣≴∭⊉3354=≴∭⊉-3015103","layer":1},{"info":"≴∭⊉531403356⨂≜≴∭⊉-3015103=NaN","layer":0}]}
+{"id":823,"expression_no_base_symbol":"⇺⋃($3200$⩼⇪↪$3068$)","expression":"⇺⋃(≴∭⊉12221⩼⇪↪≴∭⊉11642)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67,"operation_count":2,"complexity_ratio":33.5,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3200,"base":7},"right_expr":{"type":"numeric_atoms","value":3068,"base":7}}},"used_operators":["E5v5B3UAjG","ocnLzx9CaJ"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3200","layer":2},{"info":"number node, value=3068","layer":2},{"info":"compute binary expreesion, left_input=3200, right_input=3068, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15859","layer":1},{"info":"compute unary expreesion, input=-15859, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇺⋃(≴∭⊉12221⩼⇪↪≴∭⊉11642)=NaN","reverse_text":"NaN=⇺⋃(≴∭⊉12221⩼⇪↪≴∭⊉11642)","cot":[{"info":"≴∭⊉12221⩼⇪↪≴∭⊉11642=≴∭⊉-64144","layer":1},{"info":"⇺⋃≴∭⊉-64144=NaN","layer":0}]}
+{"id":824,"expression_no_base_symbol":"(⇜$1075$)↸$2692$⇴$1393$","expression":"(⇜≴∭⊉3064)↸≴∭⊉10564⇴≴∭⊉4030","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9345,"operation_count":3,"complexity_ratio":3115.0,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1075,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2692,"base":7},"right_expr":{"type":"numeric_atoms","value":1393,"base":7}}},"used_operators":["1eCjFl0mb9","lFBm8KRb8F","4JB6nKBMSY"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≴∭⊉-35156","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":2},{"info":"compute unary expreesion, input=1075, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-9008","layer":1},{"info":"number node, value=2692","layer":2},{"info":"number node, value=1393","layer":2},{"info":"compute binary expreesion, left_input=2692, right_input=1393, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18552","layer":1},{"info":"compute binary expreesion, left_input=-9008, right_input=18552, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-9008","layer":0}],"base":7,"result_base":7,"text":"(⇜≴∭⊉3064)↸≴∭⊉10564⇴≴∭⊉4030=≴∭⊉-35156","reverse_text":"≴∭⊉-35156=(⇜≴∭⊉3064)↸≴∭⊉10564⇴≴∭⊉4030","cot":[{"info":"⇜≴∭⊉3064=≴∭⊉-35156","layer":1},{"info":"≴∭⊉10564⇴≴∭⊉4030=≴∭⊉105042","layer":1},{"info":"≴∭⊉-35156↸≴∭⊉105042=≴∭⊉-35156","layer":0}]}
+{"id":825,"expression_no_base_symbol":"($6152$⫑%∭)+⪬∐($5371$⨚$4938$)","expression":"(≴∭⊉23636⫑%∭)+⪬∐(≴∭⊉21442⨚≴∭⊉20253)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":988,"operation_count":3,"complexity_ratio":329.3333333333333,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":6152,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":5371,"base":7},"right_expr":{"type":"numeric_atoms","value":4938,"base":7}}},"used_operators":["2GS7woTJqF","xUx7qlDO4z","nREPSIbpBE"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6152","layer":2},{"info":"compute unary expreesion, input=6152, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"number node, value=5371","layer":2},{"info":"number node, value=4938","layer":2},{"info":"compute binary expreesion, left_input=5371, right_input=4938, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-8076","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8076, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23636⫑%∭)+⪬∐(≴∭⊉21442⨚≴∭⊉20253)=NaN","reverse_text":"NaN=(≴∭⊉23636⫑%∭)+⪬∐(≴∭⊉21442⨚≴∭⊉20253)","cot":[{"info":"≴∭⊉23636⫑%∭=NaN","layer":1},{"info":"≴∭⊉21442⨚≴∭⊉20253=≴∭⊉-32355","layer":1},{"info":"NaN+⪬∐≴∭⊉-32355=NaN","layer":0}]}
+{"id":826,"expression_no_base_symbol":"($1726$↸$4683$)↢($1489$∷$1521$)","expression":"(≴∭⊉5014↸≴∭⊉16440)↢(≴∭⊉4225∷≴∭⊉4302)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1743,"operation_count":3,"complexity_ratio":581.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1726,"base":7},"right_expr":{"type":"numeric_atoms","value":4683,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1489,"base":7},"right_expr":{"type":"numeric_atoms","value":1521,"base":7}}},"used_operators":["WR6HLWljOP","1eCjFl0mb9","D3AQDKkPcf"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≴∭⊉3423","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1726","layer":2},{"info":"number node, value=4683","layer":2},{"info":"compute binary expreesion, left_input=1726, right_input=4683, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1726","layer":1},{"info":"number node, value=1489","layer":2},{"info":"number node, value=1521","layer":2},{"info":"compute binary expreesion, left_input=1489, right_input=1521, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1521","layer":1},{"info":"compute binary expreesion, left_input=1726, right_input=1521, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1242","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5014↸≴∭⊉16440)↢(≴∭⊉4225∷≴∭⊉4302)=≴∭⊉3423","reverse_text":"≴∭⊉3423=(≴∭⊉5014↸≴∭⊉16440)↢(≴∭⊉4225∷≴∭⊉4302)","cot":[{"info":"≴∭⊉5014↸≴∭⊉16440=≴∭⊉5014","layer":1},{"info":"≴∭⊉4225∷≴∭⊉4302=≴∭⊉4302","layer":1},{"info":"≴∭⊉5014↢≴∭⊉4302=≴∭⊉3423","layer":0}]}
+{"id":827,"expression_no_base_symbol":"$1897$⊱⇼⊻$4552$≀⩗∶$2090$∝$1113$","expression":"≴∭⊉5350⊱⇼⊻≴∭⊉16162≀⩗∶≴∭⊉6044∝≴∭⊉3150","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":1897,"base":7},"right_expr":{"type":"numeric_atoms","value":4552,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2090,"base":7},"right_expr":{"type":"numeric_atoms","value":1113,"base":7}}},"used_operators":["8INZBEW696","FyVja0WsTP","cTDWOvIxvz"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉-15","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1897","layer":2},{"info":"number node, value=4552","layer":2},{"info":"compute binary expreesion, left_input=1897, right_input=4552, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=2090","layer":2},{"info":"number node, value=1113","layer":2},{"info":"compute binary expreesion, left_input=2090, right_input=1113, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2095","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=2095, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-12","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5350⊱⇼⊻≴∭⊉16162≀⩗∶≴∭⊉6044∝≴∭⊉3150=≴∭⊉-15","reverse_text":"≴∭⊉-15=≴∭⊉5350⊱⇼⊻≴∭⊉16162≀⩗∶≴∭⊉6044∝≴∭⊉3150","cot":[{"info":"≴∭⊉5350⊱⇼⊻≴∭⊉16162=≴∭⊉1160","layer":1},{"info":"≴∭⊉6044∝≴∭⊉3150=≴∭⊉6052","layer":1},{"info":"≴∭⊉1160≀⩗∶≴∭⊉6052=≴∭⊉-15","layer":0}]}
+{"id":828,"expression_no_base_symbol":"⪡⇡≛($2997$⪢$6819$)","expression":"⪡⇡≛(≴∭⊉11511⪢≴∭⊉25611)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6848,"operation_count":2,"complexity_ratio":3424.0,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2997,"base":7},"right_expr":{"type":"numeric_atoms","value":6819,"base":7}}},"used_operators":["qL4PrbW1Dq","dWAJyo7jo9"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2997","layer":2},{"info":"number node, value=6819","layer":2},{"info":"compute binary expreesion, left_input=2997, right_input=6819, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪡⇡≛(≴∭⊉11511⪢≴∭⊉25611)=NaN","reverse_text":"NaN=⪡⇡≛(≴∭⊉11511⪢≴∭⊉25611)","cot":[{"info":"≴∭⊉11511⪢≴∭⊉25611=NaN","layer":1},{"info":"⪡⇡≛NaN=NaN","layer":0}]}
+{"id":829,"expression_no_base_symbol":"($2216$≚⋢)≹⇙⪍($1167$↙$3541$)","expression":"(≴∭⊉6314≚⋢)≹⇙⪍(≴∭⊉3255↙≴∭⊉13216)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3637,"operation_count":3,"complexity_ratio":1212.3333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2216,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1167,"base":7},"right_expr":{"type":"numeric_atoms","value":3541,"base":7}}},"used_operators":["AHs5Up7iyr","MahUMFw56D","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2216","layer":2},{"info":"compute unary expreesion, input=2216, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=1167","layer":2},{"info":"number node, value=3541","layer":2},{"info":"compute binary expreesion, left_input=1167, right_input=3541, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10623","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=-10623, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":7,"result_base":7,"text":"(≴∭⊉6314≚⋢)≹⇙⪍(≴∭⊉3255↙≴∭⊉13216)=NaN","reverse_text":"NaN=(≴∭⊉6314≚⋢)≹⇙⪍(≴∭⊉3255↙≴∭⊉13216)","cot":[{"info":"≴∭⊉6314≚⋢=≴∭⊉-155","layer":1},{"info":"≴∭⊉3255↙≴∭⊉13216=≴∭⊉-42654","layer":1},{"info":"≴∭⊉-155≹⇙⪍≴∭⊉-42654=NaN","layer":0}]}
+{"id":830,"expression_no_base_symbol":"($3761$*$1431$)⩎⪣⊞","expression":"(≴∭⊉13652*≴∭⊉4113)⩎⪣⊞","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1438,"operation_count":2,"complexity_ratio":719.0,"tree":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3761,"base":7},"right_expr":{"type":"numeric_atoms","value":1431,"base":7}}},"used_operators":["waWucp1uQ4","9HNa5Wba9A"],"dependent_operators":["mp7IySMOzn","W4YGzv6Whe"],"result":"≴∭⊉160330605","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3761","layer":2},{"info":"number node, value=1431","layer":2},{"info":"compute binary expreesion, left_input=3761, right_input=1431, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5381991","layer":1},{"info":"compute unary expreesion, input=5381991, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=10763982","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13652*≴∭⊉4113)⩎⪣⊞=≴∭⊉160330605","reverse_text":"≴∭⊉160330605=(≴∭⊉13652*≴∭⊉4113)⩎⪣⊞","cot":[{"info":"≴∭⊉13652*≴∭⊉4113=≴∭⊉63513636","layer":1},{"info":"≴∭⊉63513636⩎⪣⊞=≴∭⊉160330605","layer":0}]}
+{"id":831,"expression_no_base_symbol":"$1193$⨿$1798$⫘($1015$⨘)","expression":"≴∭⊉3323⨿≴∭⊉5146⫘(≴∭⊉2650⨘)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1786,"operation_count":3,"complexity_ratio":595.3333333333334,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1193,"base":7},"right_expr":{"type":"numeric_atoms","value":1798,"base":7}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1015,"base":7}}},"used_operators":["48vC8HMD2b","abYXlopdE0","ljcfZBUpm8"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"≴∭⊉3140362","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=1193, right_input=1798, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=1015","layer":2},{"info":"compute unary expreesion, input=1015, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-7880","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=-7880, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=379549","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3323⨿≴∭⊉5146⫘(≴∭⊉2650⨘)=≴∭⊉3140362","reverse_text":"≴∭⊉3140362=≴∭⊉3323⨿≴∭⊉5146⫘(≴∭⊉2650⨘)","cot":[{"info":"≴∭⊉3323⨿≴∭⊉5146=≴∭⊉-634","layer":1},{"info":"≴∭⊉2650⨘=≴∭⊉-31655","layer":1},{"info":"≴∭⊉-634⫘≴∭⊉-31655=≴∭⊉3140362","layer":0}]}
+{"id":832,"expression_no_base_symbol":"$1952$≥⨤⩑$1736$%$7567$≨$4700$","expression":"≴∭⊉5456≥⨤⩑≴∭⊉5030%≴∭⊉31030≨≴∭⊉16463","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":80,"operation_count":3,"complexity_ratio":26.666666666666668,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1952,"base":7},"right_expr":{"type":"numeric_atoms","value":1736,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":7567,"base":7},"right_expr":{"type":"numeric_atoms","value":4700,"base":7}}},"used_operators":["k8jYdgA6NY","gJLn6v0xnP","0KMCeP1Jsh"],"dependent_operators":["rysDP5nf3Z","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≴∭⊉-416540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1952","layer":2},{"info":"number node, value=1736","layer":2},{"info":"compute binary expreesion, left_input=1952, right_input=1736, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=7567","layer":2},{"info":"number node, value=4700","layer":2},{"info":"compute binary expreesion, left_input=7567, right_input=4700, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-73194","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-73194, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-71960","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5456≥⨤⩑≴∭⊉5030%≴∭⊉31030≨≴∭⊉16463=≴∭⊉-416540","reverse_text":"≴∭⊉-416540=≴∭⊉5456≥⨤⩑≴∭⊉5030%≴∭⊉31030≨≴∭⊉16463","cot":[{"info":"≴∭⊉5456≥⨤⩑≴∭⊉5030=≴∭⊉3412","layer":1},{"info":"≴∭⊉31030≨≴∭⊉16463=≴∭⊉-423252","layer":1},{"info":"≴∭⊉3412%≴∭⊉-423252=≴∭⊉-416540","layer":0}]}
+{"id":833,"expression_no_base_symbol":"$1720$⊬⨰$1321$/$3044$⪥$6923$","expression":"≴∭⊉5005⊬⨰≴∭⊉3565/≴∭⊉11606⪥≴∭⊉26120","highest_n_order":2,"priority_hierarchical_complexity":2,"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":1720,"base":7},"right_expr":{"type":"numeric_atoms","value":1321,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3044,"base":7},"right_expr":{"type":"numeric_atoms","value":6923,"base":7}}},"used_operators":["XhwjNDsVaA","s3Fd5m9Dh2","QbnwKVWMIQ"],"dependent_operators":["rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":2},{"info":"number node, value=1321","layer":2},{"info":"compute binary expreesion, left_input=1720, right_input=1321, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5948","layer":1},{"info":"number node, value=3044","layer":2},{"info":"number node, value=6923","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=6923, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16828","layer":1},{"info":"compute binary expreesion, left_input=5948, right_input=16828, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5005⊬⨰≴∭⊉3565/≴∭⊉11606⪥≴∭⊉26120=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉5005⊬⨰≴∭⊉3565/≴∭⊉11606⪥≴∭⊉26120","cot":[{"info":"≴∭⊉5005⊬⨰≴∭⊉3565=≴∭⊉23225","layer":1},{"info":"≴∭⊉11606⪥≴∭⊉26120=≴∭⊉100030","layer":1},{"info":"≴∭⊉23225/≴∭⊉100030=≴∭⊉0","layer":0}]}
+{"id":834,"expression_no_base_symbol":"⋎⨆$2710$⪮%⊝$5523$","expression":"⋎⨆≴∭⊉10621⪮%⊝≴∭⊉22050","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2710,"base":7},"right_expr":{"type":"numeric_atoms","value":5523,"base":7}}},"used_operators":["E64sFOc4tB","IWmyXbctLI"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2710","layer":2},{"info":"number node, value=5523","layer":2},{"info":"compute binary expreesion, left_input=2710, right_input=5523, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5736","layer":1},{"info":"compute unary expreesion, input=5736, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⋎⨆≴∭⊉10621⪮%⊝≴∭⊉22050=≴∭⊉0","reverse_text":"≴∭⊉0=⋎⨆≴∭⊉10621⪮%⊝≴∭⊉22050","cot":[{"info":"≴∭⊉10621⪮%⊝≴∭⊉22050=≴∭⊉22503","layer":1},{"info":"⋎⨆≴∭⊉22503=≴∭⊉0","layer":0}]}
+{"id":835,"expression_no_base_symbol":"(↡$2839$)⪛⫼($8138$⩏)","expression":"(↡≴∭⊉11164)⪛⫼(≴∭⊉32504⩏)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1138,"operation_count":3,"complexity_ratio":379.3333333333333,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2839,"base":7}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":8138,"base":7}}},"used_operators":["hyuBjUqXlG","MXaNJeIAZ3","iA2gmKZ3Wj"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","z6LnFrNh4i","Tcnh7f0tEr"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":2},{"info":"compute unary expreesion, input=2839, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=25551","layer":1},{"info":"number node, value=8138","layer":2},{"info":"compute unary expreesion, input=8138, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=25551, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(↡≴∭⊉11164)⪛⫼(≴∭⊉32504⩏)=≴∭⊉2552","reverse_text":"≴∭⊉2552=(↡≴∭⊉11164)⪛⫼(≴∭⊉32504⩏)","cot":[{"info":"↡≴∭⊉11164=≴∭⊉134331","layer":1},{"info":"≴∭⊉32504⩏=≴∭⊉0","layer":1},{"info":"≴∭⊉134331⪛⫼≴∭⊉0=≴∭⊉2552","layer":0}]}
+{"id":836,"expression_no_base_symbol":"(↓⇌$2227$)⋳⪒$1401$⨰$3018$","expression":"(↓⇌≴∭⊉6331)⋳⪒≴∭⊉4041⨰≴∭⊉11541","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":2227,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1401,"base":7},"right_expr":{"type":"numeric_atoms","value":3018,"base":7}}},"used_operators":["12rbrZMWeM","PxpmPgHHJV","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉22556","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2227","layer":2},{"info":"compute unary expreesion, input=2227, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2227","layer":1},{"info":"number node, value=1401","layer":2},{"info":"number node, value=3018","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=3018, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1607","layer":1},{"info":"compute binary expreesion, left_input=2227, right_input=-1607, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5774","layer":0}],"base":7,"result_base":7,"text":"(↓⇌≴∭⊉6331)⋳⪒≴∭⊉4041⨰≴∭⊉11541=≴∭⊉22556","reverse_text":"≴∭⊉22556=(↓⇌≴∭⊉6331)⋳⪒≴∭⊉4041⨰≴∭⊉11541","cot":[{"info":"↓⇌≴∭⊉6331=≴∭⊉6331","layer":1},{"info":"≴∭⊉4041⨰≴∭⊉11541=≴∭⊉-4454","layer":1},{"info":"≴∭⊉6331⋳���≴∭⊉-4454=≴∭⊉22556","layer":0}]}
+{"id":837,"expression_no_base_symbol":"(⇺⋃$1487$)∲⫓$3117$⨚$2717$","expression":"(⇺⋃≴∭⊉4223)∲⫓≴∭⊉12042⨚≴∭⊉10631","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72,"operation_count":3,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1487,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3117,"base":7},"right_expr":{"type":"numeric_atoms","value":2717,"base":7}}},"used_operators":["i8ToyICDmI","E5v5B3UAjG","nREPSIbpBE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":2},{"info":"compute unary expreesion, input=1487, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"number node, value=3117","layer":2},{"info":"number node, value=2717","layer":2},{"info":"compute binary expreesion, left_input=3117, right_input=2717, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3700","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3700, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇺⋃≴∭⊉4223)∲⫓≴∭⊉12042⨚≴∭⊉10631=NaN","reverse_text":"NaN=(⇺⋃≴∭⊉4223)∲⫓≴∭⊉12042⨚≴∭⊉10631","cot":[{"info":"⇺⋃≴∭⊉4223=NaN","layer":1},{"info":"≴∭⊉12042⨚≴∭⊉10631=≴∭⊉-13534","layer":1},{"info":"NaN∲⫓≴∭⊉-13534=NaN","layer":0}]}
+{"id":838,"expression_no_base_symbol":"($6010$⨿$3494$)⫗⊷⫓($1681$∺≝⩲$8050$)","expression":"(≴∭⊉23344⨿≴∭⊉13121)⫗⊷⫓(≴∭⊉4621∺≝⩲≴∭⊉32320)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":123756,"operation_count":3,"complexity_ratio":41252.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6010,"base":7},"right_expr":{"type":"numeric_atoms","value":3494,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1681,"base":7},"right_expr":{"type":"numeric_atoms","value":8050,"base":7}}},"used_operators":["zashukvMKz","abYXlopdE0","KPf6cnQVty"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6010","layer":2},{"info":"number node, value=3494","layer":2},{"info":"compute binary expreesion, left_input=6010, right_input=3494, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=1681","layer":2},{"info":"number node, value=8050","layer":2},{"info":"compute binary expreesion, left_input=1681, right_input=8050, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=160, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23344⨿≴∭⊉13121)⫗⊷⫓(≴∭⊉4621∺≝⩲≴∭⊉32320)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉23344⨿≴∭⊉13121)⫗⊷⫓(≴∭⊉4621∺≝⩲≴∭⊉32320)","cot":[{"info":"≴∭⊉23344⨿≴∭⊉13121=≴∭⊉-634","layer":1},{"info":"≴∭⊉4621∺≝⩲≴∭⊉32320=≴∭⊉316","layer":1},{"info":"≴∭⊉-634⫗⊷⫓≴∭⊉316=≴∭⊉-251","layer":0}]}
+{"id":839,"expression_no_base_symbol":"($3256$⫳≱↱$3917$)⇄$1125$⪔⊥$2631$","expression":"(≴∭⊉12331⫳≱↱≴∭⊉14264)⇄≴∭⊉3165⪔⊥≴∭⊉10446","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":335,"operation_count":3,"complexity_ratio":111.66666666666667,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3256,"base":7},"right_expr":{"type":"numeric_atoms","value":3917,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1125,"base":7},"right_expr":{"type":"numeric_atoms","value":2631,"base":7}}},"used_operators":["3EYGwJThht","ZvLB05nZmT","HJ9erzHUuu"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3256","layer":2},{"info":"number node, value=3917","layer":2},{"info":"compute binary expreesion, left_input=3256, right_input=3917, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1125","layer":2},{"info":"number node, value=2631","layer":2},{"info":"compute binary expreesion, left_input=1125, right_input=2631, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-961","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-961, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12331⫳≱↱≴∭⊉14264)⇄≴∭⊉3165⪔⊥≴∭⊉10446=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉12331⫳≱↱≴∭⊉14264)⇄≴∭⊉3165⪔⊥≴∭⊉10446","cot":[{"info":"≴∭⊉12331⫳≱↱≴∭⊉14264=≴∭⊉-411","layer":1},{"info":"≴∭⊉3165⪔⊥≴∭⊉10446=≴∭⊉-2542","layer":1},{"info":"≴∭⊉-411⇄≴∭⊉-2542=≴∭⊉0","layer":0}]}
+{"id":840,"expression_no_base_symbol":"(⋎⨆$2131$)⪚⩙≫","expression":"(⋎⨆≴∭⊉6133)⪚⩙≫","highest_n_order":5,"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":2131,"base":7}}},"used_operators":["4n53wtyJvv","E64sFOc4tB"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2131","layer":2},{"info":"compute unary expreesion, input=2131, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⋎⨆≴∭⊉6133)⪚⩙≫=NaN","reverse_text":"NaN=(⋎⨆≴∭⊉6133)⪚⩙≫","cot":[{"info":"⋎⨆≴∭⊉6133=≴∭⊉0","layer":1},{"info":"≴∭⊉0⪚⩙≫=NaN","layer":0}]}
+{"id":841,"expression_no_base_symbol":"($1833$⊍)⋳⪒($1567$⫻⋑⊟)","expression":"(≴∭⊉5226⊍)⋳⪒(≴∭⊉4366⫻⋑⊟)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1833,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1567,"base":7}}},"used_operators":["12rbrZMWeM","3nqY3DE9mg","o575Zjdmzy"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"≴∭⊉41040","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":2},{"info":"compute unary expreesion, input=1833, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=3819","layer":1},{"info":"number node, value=1567","layer":2},{"info":"compute unary expreesion, input=1567, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2624","layer":1},{"info":"compute binary expreesion, left_input=3819, right_input=-2624, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9975","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5226⊍)⋳⪒(≴∭⊉4366⫻⋑⊟)=≴∭⊉41040","reverse_text":"≴∭⊉41040=(≴∭⊉5226⊍)⋳⪒(≴∭⊉4366⫻⋑⊟)","cot":[{"info":"≴∭⊉5226⊍=≴∭⊉14064","layer":1},{"info":"≴∭⊉4366⫻⋑⊟=≴∭⊉-10436","layer":1},{"info":"≴∭⊉14064⋳⪒≴∭⊉-10436=≴∭⊉41040","layer":0}]}
+{"id":842,"expression_no_base_symbol":"≸≮$1208$↞⋁$5721$","expression":"≸≮≴∭⊉3344↞⋁≴∭⊉22452","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":194,"operation_count":2,"complexity_ratio":97.0,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1208,"base":7},"right_expr":{"type":"numeric_atoms","value":5721,"base":7}}},"used_operators":["AljMvE3RRm","RqrPlJkxDo"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1208","layer":2},{"info":"number node, value=5721","layer":2},{"info":"compute binary expreesion, left_input=1208, right_input=5721, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≸≮≴∭⊉3344↞⋁≴∭⊉22452=NaN","reverse_text":"NaN=≸≮≴∭⊉3344↞⋁≴∭⊉22452","cot":[{"info":"≴∭⊉3344↞⋁≴∭⊉22452=NaN","layer":1},{"info":"≸≮NaN=NaN","layer":0}]}
+{"id":843,"expression_no_base_symbol":"↑(∓⪦$5450$)","expression":"↑(∓⪦≴∭⊉21614)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":71,"operation_count":2,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5450,"base":7}}},"used_operators":["tR7O2zTn5j","D309nIvmXG"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≴∭⊉363","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5450","layer":2},{"info":"compute unary expreesion, input=5450, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5042","layer":1},{"info":"compute unary expreesion, input=5042, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":7,"result_base":7,"text":"↑(∓⪦≴∭⊉21614)=≴∭⊉363","reverse_text":"≴∭⊉363=↑(∓⪦≴∭⊉21614)","cot":[{"info":"∓⪦≴∭⊉21614=≴∭⊉20462","layer":1},{"info":"↑≴∭⊉20462=≴∭⊉363","layer":0}]}
+{"id":844,"expression_no_base_symbol":"$5452$∥⊢⊲$5257$⫳≱↱(↔$1014$)","expression":"≴∭⊉21616∥⊢⊲≴∭⊉21220⫳≱↱(↔≴∭⊉2646)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5452,"base":7},"right_expr":{"type":"numeric_atoms","value":5257,"base":7}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1014,"base":7}}},"used_operators":["ZvLB05nZmT","v1UQAVDJRr","ruOEQAzv1W"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","EBcxylXtPf","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5452","layer":2},{"info":"number node, value=5257","layer":2},{"info":"compute binary expreesion, left_input=5452, right_input=5257, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1014","layer":2},{"info":"compute unary expreesion, input=1014, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-741","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-741, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21616∥⊢⊲≴∭⊉21220⫳≱↱(↔≴∭⊉2646)=NaN","reverse_text":"NaN=≴∭⊉21616∥⊢⊲≴∭⊉21220⫳≱↱(↔≴∭⊉2646)","cot":[{"info":"≴∭⊉21616∥⊢⊲≴∭⊉21220=NaN","layer":1},{"info":"↔≴∭⊉2646=≴∭⊉-2106","layer":1},{"info":"NaN⫳≱↱≴∭⊉-2106=NaN","layer":0}]}
+{"id":845,"expression_no_base_symbol":"∟⋨($2173$⨰$2155$)","expression":"∟⋨(≴∭⊉6223⨰≴∭⊉6166)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2173,"base":7},"right_expr":{"type":"numeric_atoms","value":2155,"base":7}}},"used_operators":["ctOc4cKSDt","eewbuw0ToL"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉1221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":2},{"info":"number node, value=2155","layer":2},{"info":"compute binary expreesion, left_input=2173, right_input=2155, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=28","layer":1},{"info":"compute unary expreesion, input=28, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=456","layer":0}],"base":7,"result_base":7,"text":"∟⋨(≴∭⊉6223⨰≴∭⊉6166)=≴∭⊉1221","reverse_text":"≴∭⊉1221=∟⋨(≴∭⊉6223⨰≴∭⊉6166)","cot":[{"info":"≴∭⊉6223⨰≴∭⊉6166=≴∭⊉40","layer":1},{"info":"∟⋨≴∭⊉40=≴∭⊉1221","layer":0}]}
+{"id":846,"expression_no_base_symbol":"⊬↢(⪡⇡≛$2613$)","expression":"⊬↢(⪡⇡≛≴∭⊉10422)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2710,"operation_count":2,"complexity_ratio":1355.0,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2613,"base":7}}},"used_operators":["WPoGxAaPR1","qL4PrbW1Dq"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"≴∭⊉-106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2613","layer":2},{"info":"compute unary expreesion, input=2613, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2613","layer":1},{"info":"compute unary expreesion, input=-2613, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":0}],"base":7,"result_base":7,"text":"⊬↢(⪡⇡≛≴∭⊉10422)=≴∭⊉-106","reverse_text":"≴∭⊉-106=⊬↢(⪡⇡≛≴∭⊉10422)","cot":[{"info":"⪡⇡≛≴∭⊉10422=≴∭⊉-10422","layer":1},{"info":"⊬↢≴∭⊉-10422=≴∭⊉-106","layer":0}]}
+{"id":847,"expression_no_base_symbol":"⩩($1107$≑≱⪘)","expression":"⩩(≴∭⊉3141≑≱⪘)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26189,"operation_count":2,"complexity_ratio":13094.5,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1107,"base":7}}},"used_operators":["kMhfGuqI2H","tGSeddj7UK"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"compute unary expreesion, input=1107, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=25147","layer":1},{"info":"compute unary expreesion, input=25147, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩩(≴∭⊉3141≑≱⪘)=NaN","reverse_text":"NaN=⩩(≴∭⊉3141≑≱⪘)","cot":[{"info":"≴∭⊉3141≑≱⪘=≴∭⊉133213","layer":1},{"info":"⩩≴∭⊉133213=NaN","layer":0}]}
+{"id":848,"expression_no_base_symbol":"(⩰$1023$)↬($1313$↸$3046$)","expression":"(⩰≴∭⊉2661)↬(≴∭⊉3554↸≴∭⊉11611)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1325,"operation_count":3,"complexity_ratio":441.6666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1023,"base":7}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":3046,"base":7}}},"used_operators":["B5M0gjZbta","WkeUrDK8WX","1eCjFl0mb9"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1023","layer":2},{"info":"compute unary expreesion, input=1023, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2023","layer":1},{"info":"number node, value=1313","layer":2},{"info":"number node, value=3046","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=3046, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1313","layer":1},{"info":"compute binary expreesion, left_input=-2023, right_input=1313, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":7,"result_base":7,"text":"(⩰≴∭⊉2661)↬(≴∭⊉3554↸≴∭⊉11611)=NaN","reverse_text":"NaN=(⩰≴∭⊉2661)↬(≴∭⊉3554↸≴∭⊉11611)","cot":[{"info":"⩰≴∭⊉2661=≴∭⊉-5620","layer":1},{"info":"≴∭⊉3554↸≴∭⊉11611=≴∭⊉3554","layer":1},{"info":"≴∭⊉-5620↬≴∭⊉3554=NaN","layer":0}]}
+{"id":849,"expression_no_base_symbol":"$6183$∊∟⩊$4072$⩍⋽⫝̸$2048$∌$1911$","expression":"≴∭⊉24012∊∟⩊≴∭⊉14605⩍⋽⫝̸≴∭⊉5654∌≴∭⊉5400","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":6183,"base":7},"right_expr":{"type":"numeric_atoms","value":4072,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2048,"base":7},"right_expr":{"type":"numeric_atoms","value":1911,"base":7}}},"used_operators":["BiWNJpBvwn","ddLRYrp01A","8cLx32lpNA"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉22031","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6183","layer":2},{"info":"number node, value=4072","layer":2},{"info":"compute binary expreesion, left_input=6183, right_input=4072, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4072","layer":1},{"info":"number node, value=2048","layer":2},{"info":"number node, value=1911","layer":2},{"info":"compute binary expreesion, left_input=2048, right_input=1911, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1911","layer":1},{"info":"compute binary expreesion, left_input=4072, right_input=-1911, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5510","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉24012∊∟⩊≴∭⊉14605⩍⋽⫝̸≴∭⊉5654∌≴∭⊉5400=≴∭⊉22031","reverse_text":"≴∭⊉22031=≴∭⊉24012∊∟⩊≴∭⊉14605⩍⋽⫝̸≴∭⊉5654∌≴∭⊉5400","cot":[{"info":"≴∭⊉24012∊∟⩊≴∭⊉14605=≴∭⊉14605","layer":1},{"info":"≴∭⊉5654∌≴∭⊉5400=≴∭⊉-5400","layer":1},{"info":"≴∭⊉14605⩍⋽⫝̸≴∭⊉-5400=≴∭⊉22031","layer":0}]}
+{"id":850,"expression_no_base_symbol":"≀↧⇸($2777$∠⫱$9247$)","expression":"≀↧⇸(≴∭⊉11045∠⫱≴∭⊉35650)","highest_n_order":1,"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":2777,"base":7},"right_expr":{"type":"numeric_atoms","value":9247,"base":7}}},"used_operators":["ljTHtUsqzn","QvoQhV0rrE"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"≴∭⊉10124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2777","layer":2},{"info":"number node, value=9247","layer":2},{"info":"compute binary expreesion, left_input=2777, right_input=9247, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2468","layer":0}],"base":7,"result_base":7,"text":"≀↧⇸(≴∭⊉11045∠⫱≴∭⊉35650)=≴∭⊉10124","reverse_text":"≴∭⊉10124=≀↧⇸(≴∭⊉11045∠⫱≴∭⊉35650)","cot":[{"info":"≴∭⊉11045∠⫱≴∭⊉35650=≴∭⊉3412","layer":1},{"info":"≀↧⇸≴∭⊉3412=≴∭⊉10124","layer":0}]}
+{"id":851,"expression_no_base_symbol":"($1310$⨚⇆$6839$)⪘⨀","expression":"(≴∭⊉3551⨚⇆≴∭⊉25640)⪘⨀","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9223,"operation_count":2,"complexity_ratio":4611.5,"tree":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1310,"base":7},"right_expr":{"type":"numeric_atoms","value":6839,"base":7}}},"used_operators":["aA7tF3KVD3","lwHaAYXP2r"],"dependent_operators":["bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1310","layer":2},{"info":"number node, value=6839","layer":2},{"info":"compute binary expreesion, left_input=1310, right_input=6839, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3551⨚⇆≴∭⊉25640)⪘⨀=NaN","reverse_text":"NaN=(≴∭⊉3551⨚⇆≴∭⊉25640)⪘⨀","cot":[{"info":"≴∭⊉3551⨚⇆≴∭⊉25640=NaN","layer":1},{"info":"NaN⪘⨀=NaN","layer":0}]}
+{"id":852,"expression_no_base_symbol":"(⊀$1421$)⪡$4436$⇤$1979$","expression":"(⊀≴∭⊉4100)⪡≴∭⊉15635⇤≴∭⊉5525","highest_n_order":2,"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":1421,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4436,"base":7},"right_expr":{"type":"numeric_atoms","value":1979,"base":7}}},"used_operators":["oraRL2iQuh","oPMjh9089D","YSKBFp38Pu"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉-150622","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"compute unary expreesion, input=1421, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5422","layer":1},{"info":"number node, value=4436","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=4436, right_input=1979, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29227","layer":1},{"info":"compute binary expreesion, left_input=5422, right_input=-29227, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-29122","layer":0}],"base":7,"result_base":7,"text":"(⊀≴∭⊉4100)⪡≴∭⊉15635⇤≴∭⊉5525=≴∭⊉-150622","reverse_text":"≴∭⊉-150622=(⊀≴∭⊉4100)⪡≴∭⊉15635⇤≴∭⊉5525","cot":[{"info":"⊀≴∭⊉4100=≴∭⊉21544","layer":1},{"info":"≴∭⊉15635⇤≴∭⊉5525=≴∭⊉-151132","layer":1},{"info":"≴∭⊉21544⪡≴∭⊉-151132=≴∭⊉-150622","layer":0}]}
+{"id":853,"expression_no_base_symbol":"($1959$⪇≇⋚$6849$)↳∿⪆($1937$⊨$1429$)","expression":"(≴∭⊉5466⪇≇⋚≴∭⊉25653)↳∿⪆(≴∭⊉5435⊨≴∭⊉4111)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2580,"operation_count":3,"complexity_ratio":860.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1959,"base":7},"right_expr":{"type":"numeric_atoms","value":6849,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1937,"base":7},"right_expr":{"type":"numeric_atoms","value":1429,"base":7}}},"used_operators":["Cw4SuJJGHO","3sJ7IOPOlU","vg4gO5BX6G"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":2},{"info":"number node, value=6849","layer":2},{"info":"compute binary expreesion, left_input=1959, right_input=6849, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1937","layer":2},{"info":"number node, value=1429","layer":2},{"info":"compute binary expreesion, left_input=1937, right_input=1429, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8779","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8779, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5466⪇≇⋚≴∭⊉25653)↳∿⪆(≴∭⊉5435⊨≴∭⊉4111)=NaN","reverse_text":"NaN=(≴∭⊉5466⪇≇⋚≴∭⊉25653)↳∿⪆(≴∭⊉5435⊨≴∭⊉4111)","cot":[{"info":"≴∭⊉5466⪇≇⋚≴∭⊉25653=≴∭⊉0","layer":1},{"info":"≴∭⊉5435⊨≴∭⊉4111=≴∭⊉34411","layer":1},{"info":"≴∭⊉0↳∿⪆≴∭⊉34411=NaN","layer":0}]}
+{"id":854,"expression_no_base_symbol":"$1176$≴⪞⇿$1035$∥⊢⊲(⇾⩊⇾$2835$)","expression":"≴∭⊉3300≴⪞⇿≴∭⊉3006∥⊢⊲(⇾⩊⇾≴∭⊉11160)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":959,"operation_count":3,"complexity_ratio":319.6666666666667,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1176,"base":7},"right_expr":{"type":"numeric_atoms","value":1035,"base":7}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2835,"base":7}}},"used_operators":["v1UQAVDJRr","lvlrscuwVU","bx9Z9DAK5y"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":2},{"info":"number node, value=1035","layer":2},{"info":"compute binary expreesion, left_input=1176, right_input=1035, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1631052","layer":1},{"info":"number node, value=2835","layer":2},{"info":"compute unary expreesion, input=2835, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-32001","layer":1},{"info":"compute binary expreesion, left_input=1631052, right_input=-32001, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3300≴⪞⇿≴∭⊉3006∥⊢⊲(⇾⩊⇾≴∭⊉11160)=NaN","reverse_text":"NaN=≴∭⊉3300≴⪞⇿≴∭⊉3006∥⊢⊲(⇾⩊⇾≴∭⊉11160)","cot":[{"info":"≴∭⊉3300≴⪞⇿≴∭⊉3006=≴∭⊉16602153","layer":1},{"info":"⇾⩊⇾≴∭⊉11160=≴∭⊉-162204","layer":1},{"info":"≴∭⊉16602153∥⊢⊲≴∭⊉-162204=NaN","layer":0}]}
+{"id":855,"expression_no_base_symbol":"($8052$⪄$1473$)⫸⊐(≯$1892$)","expression":"(≴∭⊉32322⪄≴∭⊉4203)⫸⊐(≯≴∭⊉5342)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8052,"base":7},"right_expr":{"type":"numeric_atoms","value":1473,"base":7}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1892,"base":7}}},"used_operators":["mqXw5SEYmG","SUmda5xLS4","keWfFq85dY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","g55IO6H4Gj","JLbD19bQDL"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8052","layer":2},{"info":"number node, value=1473","layer":2},{"info":"compute binary expreesion, left_input=8052, right_input=1473, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1193677","layer":1},{"info":"number node, value=1892","layer":2},{"info":"compute unary expreesion, input=1892, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1193677, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32322⪄≴∭⊉4203)⫸⊐(≯≴∭⊉5342)=≴∭⊉2552","reverse_text":"≴∭⊉2552=(≴∭⊉32322⪄≴∭⊉4203)⫸⊐(≯≴∭⊉5342)","cot":[{"info":"≴∭⊉32322⪄≴∭⊉4203=≴∭⊉-13101052","layer":1},{"info":"≯≴∭⊉5342=≴∭⊉0","layer":1},{"info":"≴∭⊉-13101052⫸⊐≴∭⊉0=≴∭⊉2552","layer":0}]}
+{"id":856,"expression_no_base_symbol":"(↣≠⋷$3389$)⪇≇⋚($5173$⩅⪻⪻)","expression":"(↣≠⋷≴∭⊉12611)⪇≇⋚(≴∭⊉21040⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":144,"operation_count":3,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3389,"base":7}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":5173,"base":7}}},"used_operators":["3sJ7IOPOlU","Asc51vEJeQ","kHoXpA7yos"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","AHs5Up7iyr","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3389","layer":2},{"info":"compute unary expreesion, input=3389, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=5173","layer":2},{"info":"compute unary expreesion, input=5173, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-765029","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-765029, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↣≠⋷≴∭⊉12611)⪇≇⋚(≴∭⊉21040⩅⪻⪻)=NaN","reverse_text":"NaN=(↣≠⋷≴∭⊉12611)⪇≇⋚(≴∭⊉21040⩅⪻⪻)","cot":[{"info":"↣≠⋷≴∭⊉12611=NaN","layer":1},{"info":"≴∭⊉21040⩅⪻⪻=≴∭⊉-6334256","layer":1},{"info":"NaN⪇≇⋚≴∭⊉-6334256=NaN","layer":0}]}
+{"id":857,"expression_no_base_symbol":"$4917$⇻⋧≁$1064$⪣⫩","expression":"≴∭⊉20223⇻⋧≁≴∭⊉3050⪣⫩","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4948,"operation_count":2,"complexity_ratio":2474.0,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4917,"base":7},"right_expr":{"type":"numeric_atoms","value":1064,"base":7}}},"used_operators":["iuk5sVOGFA","jCPkEVoL5K"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4917","layer":2},{"info":"number node, value=1064","layer":2},{"info":"compute binary expreesion, left_input=4917, right_input=1064, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20223⇻⋧≁≴∭⊉3050⪣⫩=≴∭⊉2443","reverse_text":"≴∭⊉2443=≴∭⊉20223⇻⋧≁≴∭⊉3050⪣⫩","cot":[{"info":"≴∭⊉20223⇻⋧≁≴∭⊉3050=≴∭⊉-1206","layer":1},{"info":"≴∭⊉-1206⪣⫩=≴∭⊉2443","layer":0}]}
+{"id":858,"expression_no_base_symbol":"$1795$≌$2527$⨭⪣(⩦⩻⨪$2947$)","expression":"≴∭⊉5143≌≴∭⊉10240⨭⪣(⩦⩻⨪≴∭⊉11410)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2694,"operation_count":3,"complexity_ratio":898.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1795,"base":7},"right_expr":{"type":"numeric_atoms","value":2527,"base":7}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2947,"base":7}}},"used_operators":["kn8WO9XteQ","lyWz822IDG","2td37pGCOC"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1795","layer":2},{"info":"number node, value=2527","layer":2},{"info":"compute binary expreesion, left_input=1795, right_input=2527, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=2947","layer":2},{"info":"compute unary expreesion, input=2947, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2947","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2947, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5143≌≴∭⊉10240⨭⪣(⩦⩻⨪≴∭⊉11410)=NaN","reverse_text":"NaN=≴∭⊉5143≌≴∭⊉10240⨭⪣(⩦⩻⨪≴∭⊉11410)","cot":[{"info":"≴∭⊉5143≌≴���⊉10240=NaN","layer":1},{"info":"⩦⩻⨪≴∭⊉11410=≴∭⊉11410","layer":1},{"info":"NaN⨭⪣≴∭⊉11410=NaN","layer":0}]}
+{"id":859,"expression_no_base_symbol":"$2940$⪃⊛⇣$4242$≠≀($1690$⇴∐$2078$)","expression":"≴∭⊉11400⪃⊛⇣≴∭⊉15240≠≀(≴∭⊉4633⇴∐≴∭⊉6026)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":611,"operation_count":3,"complexity_ratio":203.66666666666666,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2940,"base":7},"right_expr":{"type":"numeric_atoms","value":4242,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1690,"base":7},"right_expr":{"type":"numeric_atoms","value":2078,"base":7}}},"used_operators":["IwW236VD4Y","rrgAzCduG9","HnzytWxmAO"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"≴∭⊉-6206","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2940","layer":2},{"info":"number node, value=4242","layer":2},{"info":"compute binary expreesion, left_input=2940, right_input=4242, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1690","layer":2},{"info":"number node, value=2078","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=2078, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2162","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11400⪃⊛⇣≴∭⊉15240≠≀(≴∭⊉4633⇴∐≴∭⊉6026)=≴∭⊉-6206","reverse_text":"≴∭⊉-6206=≴∭⊉11400⪃⊛⇣≴∭⊉15240≠≀(≴∭⊉4633⇴∐≴∭⊉6026)","cot":[{"info":"≴∭⊉11400⪃⊛⇣≴∭⊉15240=≴∭⊉3412","layer":1},{"info":"≴∭⊉4633⇴∐≴∭⊉6026=NaN","layer":1},{"info":"≴∭⊉3412≠≀NaN=≴∭⊉-6206","layer":0}]}
+{"id":860,"expression_no_base_symbol":"⋃($2674$⫒⫫$2109$)","expression":"⋃(≴∭⊉10540⫒⫫≴∭⊉6102)","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":2674,"base":7},"right_expr":{"type":"numeric_atoms","value":2109,"base":7}}},"used_operators":["3mBM5G4a3l","6Ko8hGgeMq"],"dependent_operators":["g55IO6H4Gj","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2674","layer":2},{"info":"number node, value=2109","layer":2},{"info":"compute binary expreesion, left_input=2674, right_input=2109, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⋃(≴∭⊉10540⫒⫫≴∭⊉6102)=NaN","reverse_text":"NaN=⋃(≴∭⊉10540⫒⫫≴∭⊉6102)","cot":[{"info":"≴∭⊉10540⫒⫫≴∭⊉6102=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
+{"id":861,"expression_no_base_symbol":"($2455$⩨$1008$)⫞⩸⩒($6634$⨑≵⋬$2247$)","expression":"(≴∭⊉10105⩨≴∭⊉2640)⫞⩸⩒(≴∭⊉25225⨑≵⋬≴∭⊉6360)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2455,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6634,"base":7},"right_expr":{"type":"numeric_atoms","value":2247,"base":7}}},"used_operators":["XGcMNugi78","2DlMacCsIx","XnXgA4xnOs"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉105604","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=2455, right_input=1008, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=6634","layer":2},{"info":"number node, value=2247","layer":2},{"info":"compute binary expreesion, left_input=6634, right_input=2247, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=18820","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=18820, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=18820","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10105⩨≴∭⊉2640)⫞⩸⩒(≴∭⊉25225⨑≵⋬≴∭⊉6360)=≴∭⊉105604","reverse_text":"≴∭⊉105604=(≴∭⊉10105⩨≴∭⊉2640)⫞⩸⩒(≴∭⊉25225⨑≵⋬≴∭⊉6360)","cot":[{"info":"≴∭⊉10105⩨≴∭⊉2640=≴∭⊉0","layer":1},{"info":"≴∭⊉25225⨑≵⋬≴∭⊉6360=≴∭⊉105604","layer":1},{"info":"≴∭⊉0⫞⩸⩒≴∭⊉105604=≴∭⊉105604","layer":0}]}
+{"id":862,"expression_no_base_symbol":"≪($1124$⊨$5658$)","expression":"≪(≴∭⊉3164⊨≴∭⊉22332)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":2,"complexity_ratio":25.5,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1124,"base":7},"right_expr":{"type":"numeric_atoms","value":5658,"base":7}}},"used_operators":["Qtd6bqUJcN","vg4gO5BX6G"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1124","layer":2},{"info":"number node, value=5658","layer":2},{"info":"compute binary expreesion, left_input=1124, right_input=5658, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5527","layer":1},{"info":"compute unary expreesion, input=5527, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"≪(≴∭⊉3164⊨≴∭⊉22332)=≴∭⊉2443","reverse_text":"≴∭⊉2443=≪(≴∭⊉3164⊨≴∭⊉22332)","cot":[{"info":"≴∭⊉3164⊨≴∭⊉22332=≴∭⊉22054","layer":1},{"info":"≪≴∭⊉22054=≴∭⊉2443","layer":0}]}
+{"id":863,"expression_no_base_symbol":"⇋⊎⋝($1385$⋆⋳)","expression":"⇋⊎⋝(≴∭⊉4016⋆⋳)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2813,"operation_count":2,"complexity_ratio":1406.5,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1385,"base":7}}},"used_operators":["CzM2PEoXns","6MpZysEj17"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":2},{"info":"compute unary expreesion, input=1385, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2802","layer":1},{"info":"compute unary expreesion, input=-2802, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝(≴∭⊉4016⋆⋳)=NaN","reverse_text":"NaN=⇋⊎⋝(≴∭⊉4016⋆⋳)","cot":[{"info":"≴∭⊉4016⋆⋳=≴∭⊉-11112","layer":1},{"info":"⇋⊎⋝≴∭⊉-11112=NaN","layer":0}]}
+{"id":864,"expression_no_base_symbol":"($1385$⪁$1796$)⪨⊡$2753$⫲≸⪮$1254$","expression":"(≴∭⊉4016⪁≴∭⊉5144)⪨⊡≴∭⊉11012⫲≸⪮≴∭⊉3441","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41606155,"operation_count":3,"complexity_ratio":13868718.333333334,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1385,"base":7},"right_expr":{"type":"numeric_atoms","value":1796,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2753,"base":7},"right_expr":{"type":"numeric_atoms","value":1254,"base":7}}},"used_operators":["kuIXHzHcAH","I7sXao9hZE","P3lXMJvFrc"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1385","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=1385, right_input=1796, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2753","layer":2},{"info":"number node, value=1254","layer":2},{"info":"compute binary expreesion, left_input=2753, right_input=1254, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2753","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2753, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4016⪁≴∭⊉5144)⪨⊡≴∭⊉11012⫲≸⪮≴∭⊉3441=NaN","reverse_text":"NaN=(≴∭⊉4016⪁≴∭⊉5144)⪨⊡≴∭⊉11012⫲≸⪮≴∭⊉3441","cot":[{"info":"≴∭⊉4016⪁≴∭⊉5144=NaN","layer":1},{"info":"≴∭⊉11012⫲≸⪮≴∭⊉3441=≴∭⊉11012","layer":1},{"info":"NaN⪨⊡≴∭⊉11012=NaN","layer":0}]}
+{"id":865,"expression_no_base_symbol":"$2299$⫒⫫$4068$⩹$4166$⋝⋈⪟$1474$","expression":"≴∭⊉6463⫒⫫≴∭⊉14601⩹≴∭⊉15101⋝⋈⪟≴∭⊉4204","highest_n_order":4,"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":2299,"base":7},"right_expr":{"type":"numeric_atoms","value":4068,"base":7}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4166,"base":7},"right_expr":{"type":"numeric_atoms","value":1474,"base":7}}},"used_operators":["2Wsdkap16l","6Ko8hGgeMq","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉15066","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2299","layer":2},{"info":"number node, value=4068","layer":2},{"info":"compute binary expreesion, left_input=2299, right_input=4068, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=4166","layer":2},{"info":"number node, value=1474","layer":2},{"info":"compute binary expreesion, left_input=4166, right_input=1474, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4166","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4166, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4164","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6463⫒⫫≴∭⊉14601⩹≴∭⊉15101⋝⋈⪟≴∭⊉4204=≴∭⊉15066","reverse_text":"≴∭⊉15066=≴∭⊉6463⫒⫫≴∭⊉14601⩹≴∭⊉15101⋝⋈⪟≴∭⊉4204","cot":[{"info":"≴∭⊉6463⫒⫫≴∭⊉14601=NaN","layer":1},{"info":"≴∭⊉15101⋝⋈⪟≴∭⊉4204=≴∭⊉15101","layer":1},{"info":"NaN⩹≴∭⊉15101=≴∭⊉15066","layer":0}]}
+{"id":866,"expression_no_base_symbol":"$2156$⊉≛↸$1058$⊓⋫","expression":"≴∭⊉6200⊉≛↸≴∭⊉3041⊓⋫","highest_n_order":1,"priority_hierarchical_complexity":1,"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":2156,"base":7},"right_expr":{"type":"numeric_atoms","value":1058,"base":7}}},"used_operators":["IqGBaFP0uj","DZ8iAZOCBD"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-15642","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2156","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=2156, right_input=1058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4312","layer":1},{"info":"compute unary expreesion, input=4312, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-4440","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6200⊉≛↸≴∭⊉3041⊓⋫=≴∭⊉-15642","reverse_text":"≴∭⊉-15642=≴∭⊉6200⊉≛↸≴∭⊉3041⊓⋫","cot":[{"info":"≴∭⊉6200⊉≛↸≴∭⊉3041=≴∭⊉15400","layer":1},{"info":"≴∭⊉15400⊓⋫=≴∭⊉-15642","layer":0}]}
+{"id":867,"expression_no_base_symbol":"$1513$⋹⋡⊁$2567$≝⊰⇂","expression":"≴∭⊉4261⋹⋡⊁≴∭⊉10325≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63956,"operation_count":2,"complexity_ratio":31978.0,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1513,"base":7},"right_expr":{"type":"numeric_atoms","value":2567,"base":7}}},"used_operators":["htSmYCowi5","As8RqfVLgs"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1513","layer":2},{"info":"number node, value=2567","layer":2},{"info":"compute binary expreesion, left_input=1513, right_input=2567, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3317","layer":1},{"info":"compute unary expreesion, input=3317, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4261⋹⋡⊁≴∭⊉10325≝⊰⇂=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉4261⋹⋡⊁≴∭⊉10325≝⊰⇂","cot":[{"info":"≴∭⊉4261⋹⋡⊁≴∭⊉10325=≴∭⊉12446","layer":1},{"info":"≴∭⊉12446≝⊰⇂=≴∭⊉0","layer":0}]}
+{"id":868,"expression_no_base_symbol":"($1546$⪁$1855$)⫗⊷⫓($2934$⋆⋳)","expression":"(≴∭⊉4336⪁≴∭⊉5260)⫗⊷⫓(≴∭⊉11361⋆⋳)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46038104,"operation_count":3,"complexity_ratio":15346034.666666666,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":1855,"base":7}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2934,"base":7}}},"used_operators":["zashukvMKz","I7sXao9hZE","6MpZysEj17"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1546","layer":2},{"info":"number node, value=1855","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=1855, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2934","layer":2},{"info":"compute unary expreesion, input=2934, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-5900","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5900, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4336⪁≴∭⊉5260)⫗⊷⫓(≴∭⊉11361⋆⋳)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉4336⪁≴∭⊉5260)⫗⊷⫓(≴∭⊉11361⋆⋳)","cot":[{"info":"≴∭⊉4336⪁≴∭⊉5260=NaN","layer":1},{"info":"≴∭⊉11361⋆⋳=≴∭⊉-23126","layer":1},{"info":"NaN⫗⊷⫓≴∭⊉-23126=≴∭⊉-251","layer":0}]}
+{"id":869,"expression_no_base_symbol":"$4140$≬⇓$3751$∙∹∝($1876$⨕⋳)","expression":"≴∭⊉15033≬⇓≴∭⊉13636∙∹∝(≴∭⊉5320⨕⋳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4140,"base":7},"right_expr":{"type":"numeric_atoms","value":3751,"base":7}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1876,"base":7}}},"used_operators":["HmxsFra2vL","jWTQ2TZYIH","4X4GscPmMf"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4140","layer":2},{"info":"number node, value=3751","layer":2},{"info":"compute binary expreesion, left_input=4140, right_input=3751, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=1876","layer":2},{"info":"compute unary expreesion, input=1876, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=84716","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=84716, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉15033≬⇓≴∭⊉13636∙∹∝(≴∭⊉5320⨕⋳)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉15033≬⇓≴∭⊉13636∙∹∝(≴∭⊉5320⨕⋳)","cot":[{"info":"≴∭⊉15033≬⇓≴∭⊉13636=≴∭⊉-31","layer":1},{"info":"≴∭⊉5320⨕⋳=≴∭⊉501662","layer":1},{"info":"≴∭⊉-31∙∹∝≴∭⊉501662=≴∭⊉0","layer":0}]}
+{"id":870,"expression_no_base_symbol":"($1710$⪡$2173$)⊢($7030$⩉⊫⨁)","expression":"(≴∭⊉4662⪡≴∭⊉6223)⊢(≴∭⊉26332⩉⊫⨁)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1710,"base":7},"right_expr":{"type":"numeric_atoms","value":2173,"base":7}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":7030,"base":7}}},"used_operators":["5twsqlHp2o","oraRL2iQuh","7qqUquhhSb"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","7j4O788W3g"],"result":"≴∭⊉-1223","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1710","layer":2},{"info":"number node, value=2173","layer":2},{"info":"compute binary expreesion, left_input=1710, right_input=2173, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=7030","layer":2},{"info":"compute unary expreesion, input=7030, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=7030","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=7030, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-458","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4662⪡≴∭⊉6223)⊢(≴∭⊉26332⩉⊫⨁)=≴∭⊉-1223","reverse_text":"≴∭⊉-1223=(≴∭⊉4662⪡≴∭⊉6223)⊢(≴∭⊉26332⩉⊫⨁)","cot":[{"info":"≴∭⊉4662⪡≴∭⊉6223=≴∭⊉212","layer":1},{"info":"≴∭⊉26332⩉⊫⨁=≴∭⊉26332","layer":1},{"info":"≴∭⊉212⊢≴∭⊉26332=≴∭⊉-1223","layer":0}]}
+{"id":871,"expression_no_base_symbol":"↘($1946$⫰⋱$4376$)","expression":"↘(≴∭⊉5450⫰⋱≴∭⊉15521)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1946,"base":7},"right_expr":{"type":"numeric_atoms","value":4376,"base":7}}},"used_operators":["LdNpr8hQHL","6o9Blt3TJ6"],"dependent_operators":["uFcxV4UQCh","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉65","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1946","layer":2},{"info":"number node, value=4376","layer":2},{"info":"compute binary expreesion, left_input=1946, right_input=4376, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1913","layer":1},{"info":"compute unary expreesion, input=-1913, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=47","layer":0}],"base":7,"result_base":7,"text":"↘(≴∭⊉5450⫰⋱≴∭⊉15521)=≴∭⊉65","reverse_text":"≴∭⊉65=↘(≴∭⊉5450⫰⋱≴∭⊉15521)","cot":[{"info":"≴∭⊉5450⫰⋱≴∭⊉15521=≴∭⊉-5402","layer":1},{"info":"↘≴∭⊉-5402=≴∭⊉65","layer":0}]}
+{"id":872,"expression_no_base_symbol":"($5606$≃$1466$)⫲≸⪮$4506$⩼⇪↪$1200$","expression":"(≴∭⊉22226≃≴∭⊉4163)⫲≸⪮≴∭⊉16065⩼⇪↪≴∭⊉3333","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22495,"operation_count":3,"complexity_ratio":7498.333333333333,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5606,"base":7},"right_expr":{"type":"numeric_atoms","value":1466,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4506,"base":7},"right_expr":{"type":"numeric_atoms","value":1200,"base":7}}},"used_operators":["P3lXMJvFrc","YbVcJGFEVW","ocnLzx9CaJ"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉-122331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5606","layer":2},{"info":"number node, value=1466","layer":2},{"info":"compute binary expreesion, left_input=5606, right_input=1466, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-22464","layer":1},{"info":"number node, value=4506","layer":2},{"info":"number node, value=1200","layer":2},{"info":"compute binary expreesion, left_input=4506, right_input=1200, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-171","layer":1},{"info":"compute binary expreesion, left_input=-22464, right_input=-171, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-22464","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22226≃≴∭⊉4163)⫲≸⪮≴∭⊉16065⩼⇪↪≴∭⊉3333=≴∭⊉-122331","reverse_text":"≴∭⊉-122331=(≴∭⊉22226≃≴∭⊉4163)⫲≸⪮≴∭⊉16065⩼⇪↪≴∭⊉3333","cot":[{"info":"≴∭⊉22226≃≴∭⊉4163=≴∭⊉-122331","layer":1},{"info":"≴∭⊉16065⩼⇪↪≴∭⊉3333=≴∭⊉-333","layer":1},{"info":"≴∭⊉-122331⫲≸⪮≴∭⊉-333=≴∭⊉-122331","layer":0}]}
+{"id":873,"expression_no_base_symbol":"$4966$⩺⪪$3809$⇼⇔∾(⫎≠⋺$4308$)","expression":"≴∭⊉20323⩺⪪≴∭⊉14051⇼⇔∾(⫎≠⋺≴∭⊉15363)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":142,"operation_count":3,"complexity_ratio":47.333333333333336,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4966,"base":7},"right_expr":{"type":"numeric_atoms","value":3809,"base":7}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4308,"base":7}}},"used_operators":["tifHPKVTfV","uvdQJvN4PV","LYeZOJ0nQG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉110406","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4966","layer":2},{"info":"number node, value=3809","layer":2},{"info":"compute binary expreesion, left_input=4966, right_input=3809, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-19410","layer":1},{"info":"number node, value=4308","layer":2},{"info":"compute unary expreesion, input=4308, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-19410, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=19410","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20323⩺⪪≴∭⊉14051⇼⇔∾(⫎≠⋺≴∭⊉15363)=≴∭⊉110406","reverse_text":"≴∭⊉110406=≴∭⊉20323⩺⪪≴∭⊉14051⇼⇔∾(⫎≠⋺≴∭⊉15363)","cot":[{"info":"≴∭⊉20323⩺⪪≴∭⊉14051=≴∭⊉-110406","layer":1},{"info":"⫎≠⋺≴∭⊉15363=≴∭⊉0","layer":1},{"info":"≴∭⊉-110406⇼⇔∾≴∭⊉0=≴∭⊉110406","layer":0}]}
+{"id":874,"expression_no_base_symbol":"($3205$≀⩗∶$6952$)≹⇙⪍(+⊝⨔$1445$)","expression":"(≴∭⊉12226≀⩗∶≴∭⊉26161)≹⇙⪍(+⊝⨔≴∭⊉4133)","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":3205,"base":7},"right_expr":{"type":"numeric_atoms","value":6952,"base":7}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1445,"base":7}}},"used_operators":["AHs5Up7iyr","8INZBEW696","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3205","layer":2},{"info":"number node, value=6952","layer":2},{"info":"compute binary expreesion, left_input=3205, right_input=6952, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":1},{"info":"number node, value=1445","layer":2},{"info":"compute unary expreesion, input=1445, 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=-6, right_input=1522, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12226≀⩗∶≴∭⊉26161)≹⇙⪍(+⊝⨔≴∭⊉4133)=NaN","reverse_text":"NaN=(≴∭⊉12226≀⩗∶≴∭⊉26161)≹⇙⪍(+⊝⨔≴∭⊉4133)","cot":[{"info":"≴∭⊉12226≀⩗∶≴∭⊉26161=≴∭⊉-6","layer":1},{"info":"+⊝⨔≴∭⊉4133=≴∭⊉4303","layer":1},{"info":"≴∭⊉-6≹⇙⪍≴∭⊉4303=NaN","layer":0}]}
+{"id":875,"expression_no_base_symbol":"⩩(↞≼$1386$)","expression":"⩩(↞≼≴∭⊉4020)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11625,"operation_count":2,"complexity_ratio":5812.5,"tree":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1386,"base":7}}},"used_operators":["kMhfGuqI2H","DE7zCoGJt9"],"dependent_operators":["6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":2},{"info":"compute unary expreesion, input=1386, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10674","layer":1},{"info":"compute unary expreesion, input=10674, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩩(↞≼≴∭⊉4020)=NaN","reverse_text":"NaN=⩩(↞≼≴∭⊉4020)","cot":[{"info":"↞≼≴∭⊉4020=≴∭⊉43056","layer":1},{"info":"⩩≴∭⊉43056=NaN","layer":0}]}
+{"id":876,"expression_no_base_symbol":"↨⩢⫨$7051$≹⇙⪍$5067$","expression":"↨⩢⫨≴∭⊉26362≹⇙⪍≴∭⊉20526","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68,"operation_count":2,"complexity_ratio":34.0,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7051,"base":7},"right_expr":{"type":"numeric_atoms","value":5067,"base":7}}},"used_operators":["Z5CJsN7DuW","AHs5Up7iyr"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","dWAJyo7jo9"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7051","layer":2},{"info":"number node, value=5067","layer":2},{"info":"compute binary expreesion, left_input=7051, right_input=5067, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":7,"result_base":7,"text":"↨⩢⫨≴∭⊉26362≹⇙⪍≴∭⊉20526=≴∭⊉0","reverse_text":"≴∭⊉0=↨⩢⫨≴∭⊉26362≹⇙⪍≴∭⊉20526","cot":[{"info":"≴∭⊉26362≹⇙⪍≴∭⊉20526=NaN","layer":1},{"info":"↨⩢⫨NaN=≴∭⊉0","layer":0}]}
+{"id":877,"expression_no_base_symbol":"(⨮↦↱$1691$)⊘","expression":"(⨮↦↱≴∭⊉4634)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1265,"operation_count":2,"complexity_ratio":632.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1691,"base":7}}},"used_operators":["gu96TGCTMs","sYcpBQ0cFf"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"≴∭⊉-1","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1691","layer":2},{"info":"compute unary expreesion, input=1691, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-4299999","layer":1},{"info":"compute unary expreesion, input=-4299999, 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":7,"result_base":7,"text":"(⨮↦↱≴∭⊉4634)⊘=≴∭⊉-1","reverse_text":"≴∭⊉-1=(⨮↦↱≴∭⊉4634)⊘","cot":[{"info":"⨮↦↱≴∭⊉4634=≴∭⊉-51356304","layer":1},{"info":"≴∭��-51356304⊘=≴∭⊉-1","layer":0}]}
+{"id":878,"expression_no_base_symbol":"$1493$⫸⇳$5607$↙(⊀$2216$)","expression":"≴∭⊉4232⫸⇳≴∭⊉22230↙(⊀≴∭⊉6314)","highest_n_order":3,"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":1493,"base":7},"right_expr":{"type":"numeric_atoms","value":5607,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2216,"base":7}}},"used_operators":["yyfyN0ffXY","gx7XJ7hdpj","oPMjh9089D"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1493","layer":2},{"info":"number node, value=5607","layer":2},{"info":"compute binary expreesion, left_input=1493, right_input=5607, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=2216","layer":2},{"info":"compute unary expreesion, input=2216, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8602","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8602, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4232⫸⇳≴∭⊉22230↙(⊀≴∭⊉6314)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉4232⫸⇳≴∭⊉22230↙(⊀≴∭⊉6314)","cot":[{"info":"≴∭⊉4232⫸⇳≴∭⊉22230=≴∭⊉0","layer":1},{"info":"⊀≴∭⊉6314=≴∭⊉34036","layer":1},{"info":"≴∭⊉0↙≴∭⊉34036=≴∭⊉0","layer":0}]}
+{"id":879,"expression_no_base_symbol":"$1254$⋕⪉⪜$2232$⫳≱↱(↣≠⋷$5741$)","expression":"≴∭⊉3441⋕⪉⪜≴∭⊉6336⫳≱↱(↣≠⋷≴∭⊉22511)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1254,"base":7},"right_expr":{"type":"numeric_atoms","value":2232,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5741,"base":7}}},"used_operators":["ZvLB05nZmT","z6LnFrNh4i","Asc51vEJeQ"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"≴∭⊉-411","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1254","layer":2},{"info":"number node, value=2232","layer":2},{"info":"compute binary expreesion, left_input=1254, right_input=2232, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=5741","layer":2},{"info":"compute unary expreesion, input=5741, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3441⋕⪉⪜≴∭⊉6336⫳≱↱(↣≠⋷≴∭⊉22511)=≴∭⊉-411","reverse_text":"≴∭⊉-411=≴∭⊉3441⋕⪉⪜≴∭⊉6336⫳≱↱(↣≠⋷≴∭⊉22511)","cot":[{"info":"≴∭⊉3441⋕⪉⪜≴∭⊉6336=≴∭⊉411","layer":1},{"info":"↣≠⋷≴∭⊉22511=NaN","layer":1},{"info":"≴∭⊉411⫳≱↱NaN=≴∭⊉-411","layer":0}]}
+{"id":880,"expression_no_base_symbol":"⫇($4386$↡⊰⫅$1216$)","expression":"⫇(≴∭⊉15534↡⊰⫅≴∭⊉3355)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17056,"operation_count":2,"complexity_ratio":8528.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4386,"base":7},"right_expr":{"type":"numeric_atoms","value":1216,"base":7}}},"used_operators":["YjI8oCXuph","VCtxkLNOzz"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≴∭⊉-13433","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4386","layer":2},{"info":"number node, value=1216","layer":2},{"info":"compute binary expreesion, left_input=4386, right_input=1216, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2432","layer":1},{"info":"compute unary expreesion, input=2432, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3650","layer":0}],"base":7,"result_base":7,"text":"⫇(≴∭⊉15534↡⊰⫅≴∭⊉3355)=≴∭⊉-13433","reverse_text":"≴∭⊉-13433=⫇(≴∭⊉15534↡⊰⫅≴∭⊉3355)","cot":[{"info":"≴∭⊉15534↡⊰⫅≴∭⊉3355=≴∭⊉10043","layer":1},{"info":"⫇≴∭⊉10043=≴∭⊉-13433","layer":0}]}
+{"id":881,"expression_no_base_symbol":"(⋂$1593$)↹⊜($4629$∛$1061$)","expression":"(⋂≴∭⊉4434)↹⊜(≴∭⊉16332∛≴∭⊉3044)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1593,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4629,"base":7},"right_expr":{"type":"numeric_atoms","value":1061,"base":7}}},"used_operators":["9bazX3JMtO","BUOGQAYlQx","w2537kitQq"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉-1562","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":2},{"info":"compute unary expreesion, input=1593, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-21706","layer":1},{"info":"number node, value=4629","layer":2},{"info":"number node, value=1061","layer":2},{"info":"compute binary expreesion, left_input=4629, right_input=1061, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-21706, right_input=67, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-632","layer":0}],"base":7,"result_base":7,"text":"(⋂≴∭⊉4434)↹⊜(≴∭⊉16332∛≴∭⊉3044)=≴∭⊉-1562","reverse_text":"≴∭⊉-1562=(⋂≴∭⊉4434)↹⊜(≴∭⊉16332∛≴∭⊉3044)","cot":[{"info":"⋂≴∭⊉4434=≴∭⊉-120166","layer":1},{"info":"≴∭⊉16332∛≴∭⊉3044=≴∭⊉124","layer":1},{"info":"≴∭⊉-120166↹⊜≴∭⊉124=≴∭⊉-1562","layer":0}]}
+{"id":882,"expression_no_base_symbol":"$4982$≎⊠⪸$7229$≀⩗∶(↔$2572$)","expression":"≴∭⊉20345≎⊠⪸≴∭⊉30035≀⩗∶(↔≴∭⊉10333)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":290,"operation_count":3,"complexity_ratio":96.66666666666667,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4982,"base":7},"right_expr":{"type":"numeric_atoms","value":7229,"base":7}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2572,"base":7}}},"used_operators":["8INZBEW696","bJkvcejdHO","ruOEQAzv1W"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"≴∭⊉3","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4982","layer":2},{"info":"number node, value=7229","layer":2},{"info":"compute binary expreesion, left_input=4982, right_input=7229, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1289865","layer":1},{"info":"number node, value=2572","layer":2},{"info":"compute unary expreesion, input=2572, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2299","layer":1},{"info":"compute binary expreesion, left_input=1289865, right_input=-2299, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20345≎⊠⪸≴∭⊉30035≀⩗∶(↔≴∭⊉10333)=≴∭⊉3","reverse_text":"≴∭⊉3=≴∭⊉20345≎⊠⪸≴∭��30035≀⩗∶(↔≴∭⊉10333)","cot":[{"info":"≴∭⊉20345≎⊠⪸≴∭⊉30035=≴∭⊉13651353","layer":1},{"info":"↔≴∭⊉10333=≴∭⊉-6463","layer":1},{"info":"≴∭⊉13651353≀⩗∶≴∭⊉-6463=≴∭⊉3","layer":0}]}
+{"id":883,"expression_no_base_symbol":"($8269$⪃⊛⇣$4310$)⪬(≱⇩⩕$1338$)","expression":"(≴∭⊉33052⪃⊛⇣≴∭⊉15365)⪬(≱⇩⩕≴∭⊉3621)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1167,"operation_count":3,"complexity_ratio":389.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":8269,"base":7},"right_expr":{"type":"numeric_atoms","value":4310,"base":7}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1338,"base":7}}},"used_operators":["Ez1Nq5fNfI","rrgAzCduG9","3DZMoQKiUl"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8269","layer":2},{"info":"number node, value=4310","layer":2},{"info":"compute binary expreesion, left_input=8269, right_input=4310, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1338","layer":2},{"info":"compute unary expreesion, input=1338, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉33052⪃⊛⇣≴∭⊉15365)⪬(≱⇩⩕≴∭⊉3621)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉33052⪃⊛⇣≴∭⊉15365)⪬(≱⇩⩕≴∭⊉3621)","cot":[{"info":"≴∭⊉33052⪃⊛⇣≴∭⊉15365=≴∭⊉3412","layer":1},{"info":"≱⇩⩕≴∭⊉3621=≴∭⊉221","layer":1},{"info":"≴∭⊉3412⪬≴∭⊉221=≴∭⊉3412","layer":0}]}
+{"id":884,"expression_no_base_symbol":"∓($5086$⪃↞⩐)","expression":"∓(≴∭⊉20554⪃↞⩐)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":736,"operation_count":2,"complexity_ratio":368.0,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":5086,"base":7}}},"used_operators":["OwUj7dcsQK","grXIztHqDa"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"≴∭⊉-3654051","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5086","layer":2},{"info":"compute unary expreesion, input=5086, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=30822","layer":1},{"info":"compute unary expreesion, input=30822, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-467202","layer":0}],"base":7,"result_base":7,"text":"∓(≴∭⊉20554⪃↞⩐)=≴∭⊉-3654051","reverse_text":"≴∭⊉-3654051=∓(≴∭⊉20554⪃↞⩐)","cot":[{"info":"≴∭⊉20554⪃↞⩐=≴∭⊉155601","layer":1},{"info":"∓≴∭⊉155601=≴∭⊉-3654051","layer":0}]}
+{"id":885,"expression_no_base_symbol":"⇨($4052$⇽⩪)","expression":"⇨(≴∭⊉14546⇽⩪)","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":4052,"base":7}}},"used_operators":["G9tJMlZ94a","FonBHBYJbU"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4052","layer":2},{"info":"compute unary expreesion, input=4052, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=8626","layer":1},{"info":"compute unary expreesion, input=8626, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⇨(≴∭⊉14546⇽⩪)=≴∭⊉0","reverse_text":"≴∭⊉0=⇨(≴∭⊉14546⇽⩪)","cot":[{"info":"≴∭⊉14546⇽⩪=≴∭⊉34102","layer":1},{"info":"⇨≴∭⊉34102=≴∭⊉0","layer":0}]}
+{"id":886,"expression_no_base_symbol":"(⇋⊎⋝$3015$)⋝⋈⪟$7188$⨐$6112$","expression":"(⇋⊎⋝≴∭⊉11535)⋝⋈⪟≴∭⊉26646⨐≴∭⊉23551","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3022,"operation_count":3,"complexity_ratio":1007.3333333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3015,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":7188,"base":7},"right_expr":{"type":"numeric_atoms","value":6112,"base":7}}},"used_operators":["2DDjHMKMc0","CzM2PEoXns","Noe24qw2ks"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3015","layer":2},{"info":"compute unary expreesion, input=3015, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=7188","layer":2},{"info":"number node, value=6112","layer":2},{"info":"compute binary expreesion, left_input=7188, right_input=6112, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-14376","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14376, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇋⊎⋝≴∭⊉11535)⋝⋈⪟≴∭⊉26646⨐≴∭⊉23551=NaN","reverse_text":"NaN=(⇋⊎⋝≴∭⊉11535)⋝⋈⪟≴∭⊉26646⨐≴∭⊉23551","cot":[{"info":"⇋⊎⋝≴∭⊉11535=NaN","layer":1},{"info":"≴∭⊉26646⨐≴∭⊉23551=≴∭⊉-56625","layer":1},{"info":"NaN⋝⋈⪟≴∭⊉-56625=NaN","layer":0}]}
+{"id":887,"expression_no_base_symbol":"(⇈$1294$)⩷∴($5191$↺$7313$)","expression":"(⇈≴∭⊉3526)⩷∴(≴∭⊉21064↺≴∭⊉30215)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1025,"operation_count":3,"complexity_ratio":341.6666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1294,"base":7}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5191,"base":7},"right_expr":{"type":"numeric_atoms","value":7313,"base":7}}},"used_operators":["9FxExcQeMw","SLLxy00UIr","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-63225","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1294","layer":2},{"info":"compute unary expreesion, input=1294, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=5191","layer":2},{"info":"number node, value=7313","layer":2},{"info":"compute binary expreesion, left_input=5191, right_input=7313, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7313","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=7313, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15552","layer":0}],"base":7,"result_base":7,"text":"(⇈≴∭⊉3526)⩷∴(≴∭⊉21064↺≴∭⊉30215)=≴∭⊉-63225","reverse_text":"≴∭⊉-63225=(⇈≴∭⊉3526)⩷∴(≴∭⊉21064↺≴∭⊉30215)","cot":[{"info":"⇈≴∭⊉3526=≴∭⊉-1206","layer":1},{"info":"≴∭⊉21064↺≴∭⊉30215=≴∭⊉30215","layer":1},{"info":"≴∭⊉-1206⩷∴≴∭⊉30215=≴∭⊉-63225","layer":0}]}
+{"id":888,"expression_no_base_symbol":"($3193$⋾⨃∁$2479$)≄⊠($2965$⨝⩣∺)","expression":"(≴∭⊉12211⋾⨃∁≴∭⊉10141)≄⊠(≴∭⊉11434⨝⩣∺)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2590,"operation_count":3,"complexity_ratio":863.3333333333334,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3193,"base":7},"right_expr":{"type":"numeric_atoms","value":2479,"base":7}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":2965,"base":7}}},"used_operators":["vXNesLlMH1","212REbPD9h","ancx8kZcWl"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","t8gj7n24qd"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3193","layer":2},{"info":"number node, value=2479","layer":2},{"info":"compute binary expreesion, left_input=3193, right_input=2479, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=61424568","layer":1},{"info":"number node, value=2965","layer":2},{"info":"compute unary expreesion, input=2965, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5930","layer":1},{"info":"compute binary expreesion, left_input=61424568, right_input=-5930, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12211⋾⨃∁≴∭⊉10141)≄⊠(≴∭⊉11434⨝⩣∺)=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉12211⋾⨃∁≴∭⊉10141)≄⊠(≴∭⊉11434⨝⩣∺)","cot":[{"info":"≴∭⊉12211⋾⨃∁≴∭⊉10141=≴∭⊉1344046242","layer":1},{"info":"≴∭⊉11434⨝⩣∺=≴∭⊉-23201","layer":1},{"info":"≴∭⊉1344046242≄⊠≴∭⊉-23201=≴∭⊉4242","layer":0}]}
+{"id":889,"expression_no_base_symbol":"($1829$∴≳≥)∘($1152$⫲≸⪮$1785$)","expression":"(≴∭⊉5222∴≳≥)∘(≴∭⊉3234⫲≸⪮≴∭⊉5130)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1157,"operation_count":3,"complexity_ratio":385.6666666666667,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1829,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1152,"base":7},"right_expr":{"type":"numeric_atoms","value":1785,"base":7}}},"used_operators":["Z5m6OM72h2","a3N2hFLK0J","P3lXMJvFrc"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≴∭⊉60442","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":2},{"info":"compute unary expreesion, input=1829, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=7316","layer":1},{"info":"number node, value=1152","layer":2},{"info":"number node, value=1785","layer":2},{"info":"compute binary expreesion, left_input=1152, right_input=1785, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1152","layer":1},{"info":"compute binary expreesion, left_input=7316, right_input=1152, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=14632","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5222∴≳≥)∘(≴∭⊉3234⫲≸⪮≴∭⊉5130)=≴∭⊉60442","reverse_text":"≴∭⊉60442=(≴∭⊉5222∴≳≥)∘(≴∭⊉3234⫲≸⪮≴∭⊉5130)","cot":[{"info":"≴∭⊉5222∴≳≥=≴∭⊉30221","layer":1},{"info":"≴∭⊉3234⫲≸⪮≴∭⊉5130=≴∭⊉3234","layer":1},{"info":"≴∭⊉30221∘≴∭⊉3234=≴∭⊉60442","layer":0}]}
+{"id":890,"expression_no_base_symbol":"($1314$⩖⊿$1976$)⫞⩸⩒($3442$⫯⪬∳$2909$)","expression":"(≴∭⊉3555⩖⊿≴∭⊉5522)⫞⩸⩒(≴∭⊉13015⫯⪬∳≴∭⊉11324)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1314,"base":7},"right_expr":{"type":"numeric_atoms","value":1976,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3442,"base":7},"right_expr":{"type":"numeric_atoms","value":2909,"base":7}}},"used_operators":["XGcMNugi78","RZ5CV9rWsJ","d7ASUq0ydm"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≴∭⊉56535","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1314","layer":2},{"info":"number node, value=1976","layer":2},{"info":"compute binary expreesion, left_input=1314, right_input=1976, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=10470","layer":1},{"info":"number node, value=3442","layer":2},{"info":"number node, value=2909","layer":2},{"info":"compute binary expreesion, left_input=3442, right_input=2909, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14334","layer":1},{"info":"compute binary expreesion, left_input=10470, right_input=14334, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=14334","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3555⩖⊿≴∭⊉5522)⫞⩸⩒(≴∭⊉13015⫯⪬∳≴∭⊉11324)=≴∭⊉56535","reverse_text":"≴∭⊉56535=(≴∭⊉3555⩖⊿≴∭⊉5522)⫞⩸⩒(≴∭⊉13015⫯⪬∳≴∭⊉11324)","cot":[{"info":"≴∭⊉3555⩖⊿≴∭���5522=≴∭⊉42345","layer":1},{"info":"≴∭⊉13015⫯⪬∳≴∭⊉11324=≴∭⊉56535","layer":1},{"info":"≴∭⊉42345⫞⩸⩒≴∭⊉56535=≴∭⊉56535","layer":0}]}
+{"id":891,"expression_no_base_symbol":"($1153$≦≮≮)⩺⪪(⨙⪌$3817$)","expression":"(≴∭⊉3235≦≮≮)⩺⪪(⨙⪌≴∭⊉14062)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1038,"operation_count":3,"complexity_ratio":346.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1153,"base":7}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3817,"base":7}}},"used_operators":["uvdQJvN4PV","D4vGDi5EA2","vEGLkm4Z2k"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"≴∭⊉-5205","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"compute unary expreesion, input=1153, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3459","layer":1},{"info":"number node, value=3817","layer":2},{"info":"compute unary expreesion, input=3817, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-3459, right_input=868, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3235≦≮≮)⩺⪪(⨙⪌≴∭⊉14062)=≴∭⊉-5205","reverse_text":"≴∭⊉-5205=(≴∭⊉3235≦≮≮)⩺⪪(⨙⪌≴∭⊉14062)","cot":[{"info":"≴∭⊉3235≦≮≮=≴∭⊉-13041","layer":1},{"info":"⨙⪌≴∭⊉14062=≴∭⊉2350","layer":1},{"info":"≴∭⊉-13041⩺⪪≴∭⊉2350=≴∭⊉-5205","layer":0}]}
+{"id":892,"expression_no_base_symbol":"(+⊝⨔$4368$)⋣⋖($1644$+$4510$)","expression":"(+⊝⨔≴∭⊉15510)⋣⋖(≴∭⊉4536+≴∭⊉16102)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4368,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1644,"base":7},"right_expr":{"type":"numeric_atoms","value":4510,"base":7}}},"used_operators":["J0M6qkBnIM","DhbWaqg5eL","W4YGzv6Whe"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"≴∭⊉4303","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4368","layer":2},{"info":"compute unary expreesion, input=4368, 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=1644","layer":2},{"info":"number node, value=4510","layer":2},{"info":"compute binary expreesion, left_input=1644, right_input=4510, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6154","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=6154, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1522","layer":0}],"base":7,"result_base":7,"text":"(+⊝⨔≴∭⊉15510)⋣⋖(≴∭⊉4536+≴∭⊉16102)=≴∭⊉4303","reverse_text":"≴∭⊉4303=(+⊝⨔≴∭⊉15510)⋣⋖(≴∭⊉4536+≴∭⊉16102)","cot":[{"info":"+⊝⨔≴∭⊉15510=≴∭⊉4303","layer":1},{"info":"≴∭⊉4536+≴∭⊉16102=≴∭⊉23641","layer":1},{"info":"≴∭⊉4303⋣⋖≴∭⊉23641=≴∭⊉4303","layer":0}]}
+{"id":893,"expression_no_base_symbol":"$1027$⪇≇⋚$1846$≥⨤⩑(⊊≼∋$2298$)","expression":"≴∭⊉2665⪇≇⋚≴∭⊉5245≥⨤⩑(⊊≼∋≴∭⊉6462)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8621,"operation_count":3,"complexity_ratio":2873.6666666666665,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1027,"base":7},"right_expr":{"type":"numeric_atoms","value":1846,"base":7}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2298,"base":7}}},"used_operators":["gJLn6v0xnP","3sJ7IOPOlU","FWz7pXsQhA"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","B5M0gjZbta","jCPkEVoL5K"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":2},{"info":"number node, value=1846","layer":2},{"info":"compute binary expreesion, left_input=1027, right_input=1846, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2298","layer":2},{"info":"compute unary expreesion, input=2298, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉2665⪇≇⋚≴∭⊉5245≥⨤⩑(⊊≼∋≴∭⊉6462)=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉2665⪇≇⋚≴∭⊉5245≥⨤⩑(⊊≼∋≴∭⊉6462)","cot":[{"info":"≴∭⊉2665⪇≇⋚≴∭⊉5245=≴∭⊉0","layer":1},{"info":"⊊≼∋≴∭⊉6462=≴∭⊉-1206","layer":1},{"info":"≴∭⊉0≥⨤⩑≴∭⊉-1206=≴∭⊉0","layer":0}]}
+{"id":894,"expression_no_base_symbol":"(⨡↴$6871$)∊∟⩊($1231$≒∊$1186$)","expression":"(⨡↴≴∭⊉26014)∊∟⩊(≴∭⊉3406≒∊≴∭⊉3313)","highest_n_order":3,"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":6871,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1231,"base":7},"right_expr":{"type":"numeric_atoms","value":1186,"base":7}}},"used_operators":["ddLRYrp01A","liw5iZPkLH","5KTvxBwnZo"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","P8v4zCKN1o","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉-2115","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6871","layer":2},{"info":"compute unary expreesion, input=6871, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=7920","layer":1},{"info":"number node, value=1231","layer":2},{"info":"number node, value=1186","layer":2},{"info":"compute binary expreesion, left_input=1231, right_input=1186, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-747","layer":1},{"info":"compute binary expreesion, left_input=7920, right_input=-747, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-747","layer":0}],"base":7,"result_base":7,"text":"(⨡↴≴∭⊉26014)∊∟⩊(≴∭⊉3406≒∊≴∭⊉3313)=≴∭⊉-2115","reverse_text":"≴∭⊉-2115=(⨡↴≴∭⊉26014)∊∟⩊(≴∭⊉3406≒∊≴∭⊉3313)","cot":[{"info":"⨡↴≴∭⊉26014=≴∭⊉32043","layer":1},{"info":"≴∭⊉3406≒∊≴∭⊉3313=≴∭⊉-2115","layer":1},{"info":"≴∭⊉32043∊∟⩊≴∭⊉-2115=≴∭⊉-2115","layer":0}]}
+{"id":895,"expression_no_base_symbol":"⇵⪽$1036$⇡⇂$3741$","expression":"⇵⪽≴∭⊉3010⇡⇂≴∭⊉13623","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":21138,"operation_count":2,"complexity_ratio":10569.0,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1036,"base":7},"right_expr":{"type":"numeric_atoms","value":3741,"base":7}}},"used_operators":["ZGCBLdVRRX","UMwdvZNt44"],"dependent_operators":["U7g4x0WXJJ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=3741","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=3741, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇵⪽≴∭⊉3010⇡⇂≴∭⊉13623=NaN","reverse_text":"NaN=⇵⪽≴∭⊉3010⇡⇂≴∭⊉13623","cot":[{"info":"≴∭⊉3010⇡⇂≴∭⊉13623=NaN","layer":1},{"info":"⇵⪽NaN=NaN","layer":0}]}
+{"id":896,"expression_no_base_symbol":"($5732$⫦⪉$4363$)⩎⪣⊞","expression":"(≴∭⊉22466⫦⪉≴∭⊉15502)⩎⪣⊞","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":91927,"operation_count":2,"complexity_ratio":45963.5,"tree":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5732,"base":7},"right_expr":{"type":"numeric_atoms","value":4363,"base":7}}},"used_operators":["waWucp1uQ4","wscyQdcy20"],"dependent_operators":["mp7IySMOzn","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5732","layer":2},{"info":"number node, value=4363","layer":2},{"info":"compute binary expreesion, left_input=5732, right_input=4363, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6564","layer":1},{"info":"compute unary expreesion, input=-6564, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22466⫦⪉≴∭⊉15502)⩎⪣⊞=NaN","reverse_text":"NaN=(≴∭⊉22466⫦⪉≴∭⊉15502)⩎⪣⊞","cot":[{"info":"≴∭⊉22466⫦⪉≴∭⊉15502=≴∭⊉-25065","layer":1},{"info":"≴∭⊉-25065⩎⪣⊞=NaN","layer":0}]}
+{"id":897,"expression_no_base_symbol":"(⪨⨬$1020$)⊬⨰$4199$⫯⪬∳$2496$","expression":"(⪨⨬≴∭⊉2655)⊬⨰≴∭⊉15146⫯⪬∳≴∭⊉10164","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1020,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4199,"base":7},"right_expr":{"type":"numeric_atoms","value":2496,"base":7}}},"used_operators":["s3Fd5m9Dh2","5obUd6DV38","d7ASUq0ydm"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"≴∭⊉423023","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"compute unary expreesion, input=1020, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=4199","layer":2},{"info":"number node, value=2496","layer":2},{"info":"compute binary expreesion, left_input=4199, right_input=2496, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18532","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=18532, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=73076","layer":0}],"base":7,"result_base":7,"text":"(⪨⨬≴∭⊉2655)⊬⨰≴∭⊉15146⫯⪬∳≴∭⊉10164=≴∭⊉423023","reverse_text":"≴∭⊉423023=(⪨⨬≴∭⊉2655)⊬⨰≴∭⊉15146⫯⪬∳≴∭⊉10164","cot":[{"info":"⪨⨬≴∭⊉2655=≴∭⊉-1351","layer":1},{"info":"≴∭⊉15146⫯⪬∳≴∭⊉10164=≴∭⊉105013","layer":1},{"info":"≴∭⊉-1351⊬⨰≴∭⊉105013=≴∭⊉423023","layer":0}]}
+{"id":898,"expression_no_base_symbol":"⊙↵-(↘$1045$)","expression":"⊙↵-(↘≴∭⊉3022)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":312,"operation_count":2,"complexity_ratio":156.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1045,"base":7}}},"used_operators":["oWn0xqSxBt","LdNpr8hQHL"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","uFcxV4UQCh"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"compute unary expreesion, input=1045, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=261","layer":1},{"info":"compute unary expreesion, input=261, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⊙↵-(↘≴∭⊉3022)=≴∭⊉0","reverse_text":"≴∭⊉0=⊙↵-(↘≴∭⊉3022)","cot":[{"info":"↘≴∭⊉3022=≴∭⊉522","layer":1},{"info":"⊙↵-≴∭⊉522=≴∭⊉0","layer":0}]}
+{"id":899,"expression_no_base_symbol":"($6911$+⇶⊼$9617$)≄⊠$2368$↓$4267$","expression":"(≴∭⊉26102+⇶⊼≴∭⊉40016)≄⊠≴∭⊉6622↓≴∭⊉15304","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60115,"operation_count":3,"complexity_ratio":20038.333333333332,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6911,"base":7},"right_expr":{"type":"numeric_atoms","value":9617,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2368,"base":7},"right_expr":{"type":"numeric_atoms","value":4267,"base":7}}},"used_operators":["vXNesLlMH1","TpPTUOHfaN","Af076pWI7l"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6911","layer":2},{"info":"number node, value=9617","layer":2},{"info":"compute binary expreesion, left_input=6911, right_input=9617, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2368","layer":2},{"info":"number node, value=4267","layer":2},{"info":"compute binary expreesion, left_input=2368, right_input=4267, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26102+⇶⊼≴∭⊉40016)≄⊠≴∭⊉6622↓≴∭⊉15304=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉26102+⇶⊼≴∭⊉40016)≄⊠≴∭⊉6622↓≴∭⊉15304","cot":[{"info":"≴∭⊉26102+⇶⊼≴∭⊉40016=NaN","layer":1},{"info":"≴∭⊉6622↓≴∭⊉15304=≴∭⊉-251","layer":1},{"info":"NaN≄⊠≴∭⊉-251=≴∭⊉4242","layer":0}]}
+{"id":900,"expression_no_base_symbol":"($1065$⨳⩥⨓$1509$)≎⪠($1490$⪇≇⋚$1110$)","expression":"(≴∭⊉3051⨳⩥⨓≴∭⊉4254)≎⪠(≴∭⊉4226⪇≇⋚≴∭⊉3144)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19118,"operation_count":3,"complexity_ratio":6372.666666666667,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1065,"base":7},"right_expr":{"type":"numeric_atoms","value":1509,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1490,"base":7},"right_expr":{"type":"numeric_atoms","value":1110,"base":7}}},"used_operators":["aNhz54LH3e","nCS4ZIUYfx","3sJ7IOPOlU"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=1509, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=444","layer":1},{"info":"number node, value=1490","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=1490, right_input=1110, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=444, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3051⨳⩥⨓≴∭⊉4254)≎⪠(≴∭⊉4226⪇≇⋚≴∭⊉3144)=≴∭⊉111010","reverse_text":"≴∭⊉111010=(≴∭⊉3051⨳⩥⨓≴∭⊉4254)≎⪠(≴∭⊉4226⪇≇⋚≴∭⊉3144)","cot":[{"info":"≴∭⊉3051⨳⩥⨓≴∭⊉4254=≴∭⊉1203","layer":1},{"info":"≴∭⊉4226⪇≇⋚≴∭⊉3144=≴∭⊉0","layer":1},{"info":"≴∭⊉1203≎⪠≴∭⊉0=≴∭⊉111010","layer":0}]}
+{"id":901,"expression_no_base_symbol":"(≱⇩⩕$6141$)⫿","expression":"(≱⇩⩕≴∭⊉23622)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":6141,"base":7}}},"used_operators":["9tKT6PmtkH","3DZMoQKiUl"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≴∭⊉-4613","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6141","layer":2},{"info":"compute unary expreesion, input=6141, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=-1676","layer":0}],"base":7,"result_base":7,"text":"(≱⇩⩕≴∭⊉23622)⫿=≴∭⊉-4613","reverse_text":"≴∭⊉-4613=(≱⇩⩕≴∭⊉23622)⫿","cot":[{"info":"≱⇩⩕≴∭⊉23622=≴∭⊉221","layer":1},{"info":"≴∭⊉221⫿=≴∭⊉-4613","layer":0}]}
+{"id":902,"expression_no_base_symbol":"($1763$⋭≵$1007$)⇌⫙⪟($1212$⫃⨇$7402$)","expression":"(≴∭⊉5066⋭≵≴∭⊉2636)⇌⫙⪟(≴∭⊉3351⫃⨇≴∭⊉30403)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":90,"operation_count":3,"complexity_ratio":30.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1763,"base":7},"right_expr":{"type":"numeric_atoms","value":1007,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1212,"base":7},"right_expr":{"type":"numeric_atoms","value":7402,"base":7}}},"used_operators":["AFVx7xoS7T","jBncVCNhdl","09Ly4LVMIf"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉1154533","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":2},{"info":"number node, value=1007","layer":2},{"info":"compute binary expreesion, left_input=1763, right_input=1007, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1212","layer":2},{"info":"number node, value=7402","layer":2},{"info":"compute binary expreesion, left_input=1212, right_input=7402, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-29640","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-29640, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=148102","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5066⋭≵≴∭⊉2636)⇌⫙⪟(≴∭⊉3351⫃⨇≴∭⊉30403)=≴∭⊉1154533","reverse_text":"≴∭⊉1154533=(≴∭⊉5066⋭≵≴∭⊉2636)⇌⫙⪟(≴∭⊉3351⫃⨇≴∭⊉30403)","cot":[{"info":"≴∭⊉5066⋭≵≴∭⊉2636=≴∭⊉124","layer":1},{"info":"≴∭⊉3351⫃⨇≴∭⊉30403=≴∭⊉-152262","layer":1},{"info":"≴∭⊉124⇌⫙⪟≴∭⊉-152262=≴∭⊉1154533","layer":0}]}
+{"id":903,"expression_no_base_symbol":"($2777$⋥≓≎$1003$)⪨⊡($4298$≎⊠⪸$4519$)","expression":"(≴∭⊉11045⋥≓≎≴∭⊉2632)⪨⊡(≴∭⊉15350≎⊠⪸≴∭⊉16114)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":286,"operation_count":3,"complexity_ratio":95.33333333333333,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2777,"base":7},"right_expr":{"type":"numeric_atoms","value":1003,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4298,"base":7},"right_expr":{"type":"numeric_atoms","value":4519,"base":7}}},"used_operators":["kuIXHzHcAH","Qy55tPpLXF","bJkvcejdHO"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2777","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=2777, right_input=1003, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-738","layer":1},{"info":"number node, value=4298","layer":2},{"info":"number node, value=4519","layer":2},{"info":"compute binary expreesion, left_input=4298, right_input=4519, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1112709","layer":1},{"info":"compute binary expreesion, left_input=-738, right_input=1112709, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11045⋥≓≎≴∭⊉2632)⪨⊡(≴∭⊉15350≎⊠⪸≴∭⊉16114)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉11045⋥≓≎≴∭⊉2632)⪨⊡(≴∭⊉15350≎⊠⪸≴∭⊉16114)","cot":[{"info":"≴∭⊉11045⋥≓≎≴∭⊉2632=≴∭⊉-2103","layer":1},{"info":"≴∭⊉15350≎⊠⪸≴∭⊉16114=≴∭⊉12313023","layer":1},{"info":"≴∭⊉-2103⪨⊡≴∭⊉12313023=≴∭⊉0","layer":0}]}
+{"id":904,"expression_no_base_symbol":"⊖∈$1681$≝⊿$1607$","expression":"⊖∈≴∭⊉4621≝⊿≴∭⊉4454","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16338,"operation_count":2,"complexity_ratio":8169.0,"tree":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1681,"base":7},"right_expr":{"type":"numeric_atoms","value":1607,"base":7}}},"used_operators":["YFxL8Sc2Zy","OKKcZfAt5B"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","12rbrZMWeM"],"result":"≴∭⊉20426253660","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":2},{"info":"number node, value=1607","layer":2},{"info":"compute binary expreesion, left_input=1681, right_input=1607, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5428","layer":1},{"info":"compute unary expreesion, input=-5428, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=590409666","layer":0}],"base":7,"result_base":7,"text":"⊖∈≴∭⊉4621≝⊿≴∭⊉4454=≴∭⊉20426253660","reverse_text":"≴∭⊉20426253660=⊖∈≴∭⊉4621≝⊿≴∭⊉4454","cot":[{"info":"≴∭⊉4621≝⊿≴∭⊉4454=≴∭⊉-21553","layer":1},{"info":"⊖∈≴∭⊉-21553=≴∭⊉20426253660","layer":0}]}
+{"id":905,"expression_no_base_symbol":"($3415$⨸$3001$)⊕∕($1461$⇣⩺⋵$6124$)","expression":"(≴∭⊉12646⨸≴∭⊉11515)⊕∕(≴∭⊉4155⇣⩺⋵≴∭⊉23566)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3566,"operation_count":3,"complexity_ratio":1188.6666666666667,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3415,"base":7},"right_expr":{"type":"numeric_atoms","value":3001,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1461,"base":7},"right_expr":{"type":"numeric_atoms","value":6124,"base":7}}},"used_operators":["9cloC0Ngie","KmoU8R5UQR","F4yD0voBRQ"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"≴∭⊉25625","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3415","layer":2},{"info":"number node, value=3001","layer":2},{"info":"compute binary expreesion, left_input=3415, right_input=3001, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=6830","layer":1},{"info":"number node, value=1461","layer":2},{"info":"number node, value=6124","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=6124, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-6342","layer":1},{"info":"compute binary expreesion, left_input=6830, right_input=-6342, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6830","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12646⨸≴∭⊉11515)⊕∕(≴∭⊉4155⇣⩺⋵≴∭⊉23566)=≴∭⊉25625","reverse_text":"≴∭⊉25625=(≴∭⊉12646⨸≴∭⊉11515)⊕∕(≴∭⊉4155⇣⩺⋵≴∭⊉23566)","cot":[{"info":"≴∭⊉12646⨸≴∭⊉11515=≴∭⊉25625","layer":1},{"info":"≴∭⊉4155⇣⩺⋵≴∭⊉23566=≴∭⊉-24330","layer":1},{"info":"≴∭⊉25625⊕∕≴∭⊉-24330=≴∭⊉25625","layer":0}]}
+{"id":906,"expression_no_base_symbol":"$5338$⫁$2926$⊎←↗","expression":"≴∭⊉21364⫁≴∭⊉11350⊎←↗","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":107,"operation_count":2,"complexity_ratio":53.5,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5338,"base":7},"right_expr":{"type":"numeric_atoms","value":2926,"base":7}}},"used_operators":["dwb5p0fa6d","0ajvFaJAv0"],"dependent_operators":["sdazOOVcIp","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≴∭⊉1031","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5338","layer":2},{"info":"number node, value=2926","layer":2},{"info":"compute binary expreesion, left_input=5338, right_input=2926, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=365","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉21364⫁≴∭⊉11350⊎←↗=≴∭⊉1031","reverse_text":"≴∭⊉1031=≴∭⊉21364⫁≴∭⊉11350⊎←↗","cot":[{"info":"≴∭⊉21364⫁≴∭⊉11350=≴∭⊉316","layer":1},{"info":"≴∭⊉316⊎←↗=≴∭⊉1031","layer":0}]}
+{"id":907,"expression_no_base_symbol":"⊽(⇋⊎⋝$8074$)","expression":"⊽(⇋⊎⋝≴∭⊉32353)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8082,"operation_count":2,"complexity_ratio":4041.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":8074,"base":7}}},"used_operators":["QxG7OkqoLX","CzM2PEoXns"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8074","layer":2},{"info":"compute unary expreesion, input=8074, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊽(⇋⊎⋝≴∭⊉32353)=NaN","reverse_text":"NaN=⊽(⇋⊎⋝≴∭⊉32353)","cot":[{"info":"⇋⊎⋝≴∭⊉32353=NaN","layer":1},{"info":"⊽NaN=NaN","layer":0}]}
+{"id":908,"expression_no_base_symbol":"($1080$⫃⨇$2878$)↬($3676$⨓$8555$)","expression":"(≴∭⊉3102⫃⨇≴∭⊉11251)↬(≴∭⊉13501⨓≴∭⊉33641)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8574,"operation_count":3,"complexity_ratio":2858.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1080,"base":7},"right_expr":{"type":"numeric_atoms","value":2878,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3676,"base":7},"right_expr":{"type":"numeric_atoms","value":8555,"base":7}}},"used_operators":["B5M0gjZbta","09Ly4LVMIf","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":2},{"info":"number node, value=2878","layer":2},{"info":"compute binary expreesion, left_input=1080, right_input=2878, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11544","layer":1},{"info":"number node, value=3676","layer":2},{"info":"number node, value=8555","layer":2},{"info":"compute binary expreesion, left_input=3676, right_input=8555, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8558","layer":1},{"info":"compute binary expreesion, left_input=-11544, right_input=-8558, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":7,"result_base":7,"text":"(≴∭⊉3102⫃⨇≴∭⊉11251)↬(≴∭⊉13501⨓≴∭⊉33641)=NaN","reverse_text":"NaN=(≴∭⊉3102⫃⨇≴∭⊉11251)↬(≴∭⊉13501⨓≴∭⊉33641)","cot":[{"info":"≴∭⊉3102⫃⨇≴∭⊉11251=≴∭⊉-45441","layer":1},{"info":"≴∭⊉13501⨓≴∭⊉33641=≴∭⊉-33644","layer":1},{"info":"≴∭⊉-45441↬≴∭⊉-33644=NaN","layer":0}]}
+{"id":909,"expression_no_base_symbol":"($2853$⪇≇⋚$3074$)⪚$4448$⩁⩘$2072$","expression":"(≴∭⊉11214⪇≇⋚≴∭⊉11651)⪚≴∭⊉15653⩁⩘≴∭⊉6020","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2853,"base":7},"right_expr":{"type":"numeric_atoms","value":3074,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4448,"base":7},"right_expr":{"type":"numeric_atoms","value":2072,"base":7}}},"used_operators":["HrjLwUk87U","3sJ7IOPOlU","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉-105615","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2853","layer":2},{"info":"number node, value=3074","layer":2},{"info":"compute binary expreesion, left_input=2853, right_input=3074, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=4448","layer":2},{"info":"number node, value=2072","layer":2},{"info":"compute binary expreesion, left_input=4448, right_input=2072, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9236","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9236, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-18828","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11214⪇≇⋚≴∭⊉11651)⪚≴∭⊉15653⩁⩘≴∭⊉6020=≴∭⊉-105615","reverse_text":"≴∭⊉-105615=(≴∭⊉11214⪇≇⋚≴∭⊉11651)⪚≴∭⊉15653⩁⩘≴∭⊉6020","cot":[{"info":"≴∭⊉11214⪇≇⋚≴∭⊉11651=≴∭⊉0","layer":1},{"info":"≴∭⊉15653⩁⩘≴∭⊉6020=≴∭⊉35633","layer":1},{"info":"≴∭⊉0⪚≴∭⊉35633=≴∭⊉-105615","layer":0}]}
+{"id":910,"expression_no_base_symbol":"($1068$⫔⩽⩺$1140$)⩘($3273$⇟⨁⪰)","expression":"(≴∭⊉3054⫔⩽⩺≴∭⊉3216)⩘(≴∭⊉12354⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":109,"operation_count":3,"complexity_ratio":36.333333333333336,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1068,"base":7},"right_expr":{"type":"numeric_atoms","value":1140,"base":7}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3273,"base":7}}},"used_operators":["cHh1gJQ2o6","i9eR4S00cU","BX1lVwlMe0"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Tw270M8GLb","fu6greOZ01","2DDjHMKMc0","xUOZtlo3hN"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=1068, right_input=1140, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=3273","layer":2},{"info":"compute unary expreesion, input=3273, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3447, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3054⫔⩽⩺≴∭⊉3216)⩘(≴∭⊉12354⇟⨁⪰)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉3054⫔⩽⩺≴∭⊉3216)⩘(≴∭⊉12354⇟⨁⪰)","cot":[{"info":"≴∭⊉3054⫔⩽⩺≴∭⊉3216=NaN","layer":1},{"info":"≴∭⊉12354⇟⨁⪰=≴∭⊉-13023","layer":1},{"info":"NaN⩘≴∭⊉-13023=≴∭⊉316","layer":0}]}
+{"id":911,"expression_no_base_symbol":"$3101$∌↝$1314$∝(≑⋹$1910$)","expression":"≴∭⊉12020∌↝≴∭⊉3555∝(≑⋹≴∭⊉5366)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3101,"base":7},"right_expr":{"type":"numeric_atoms","value":1314,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1910,"base":7}}},"used_operators":["cTDWOvIxvz","9Isq31Ruls","6B9nyZLogK"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉5","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3101","layer":2},{"info":"number node, value=1314","layer":2},{"info":"compute binary expreesion, left_input=3101, right_input=1314, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=1910","layer":2},{"info":"compute unary expreesion, input=1910, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12020∌↝≴∭⊉3555∝(≑⋹≴∭⊉5366)=≴∭⊉5","reverse_text":"≴∭⊉5=≴∭⊉12020∌↝≴∭⊉3555∝(≑⋹≴∭⊉5366)","cot":[{"info":"≴∭⊉12020∌↝≴∭⊉3555=≴∭⊉0","layer":1},{"info":"≑⋹≴∭⊉5366=≴∭⊉4545","layer":1},{"info":"≴∭⊉0∝≴∭⊉4545=≴∭⊉5","layer":0}]}
+{"id":912,"expression_no_base_symbol":"(⨈⪑$1461$)⨟⋌⩍($2384$∕⩚$5423$)","expression":"(⨈⪑≴∭⊉4155)⨟⋌⩍(≴∭⊉6644∕⩚≴∭⊉21545)","highest_n_order":4,"priority_hierarchical_complexity":3,"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":1461,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2384,"base":7},"right_expr":{"type":"numeric_atoms","value":5423,"base":7}}},"used_operators":["rGHVDoGpnC","mp94q5OcYM","z9ffQ9n5Zr"],"dependent_operators":["Tcnh7f0tEr","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"compute unary expreesion, input=1461, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=2384","layer":2},{"info":"number node, value=5423","layer":2},{"info":"compute binary expreesion, left_input=2384, right_input=5423, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2387","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-2387, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":7,"result_base":7,"text":"(⨈⪑≴∭⊉4155)⨟⋌⩍(≴∭⊉6644∕⩚≴∭⊉21545)=NaN","reverse_text":"NaN=(⨈⪑≴∭⊉4155)⨟⋌⩍(≴∭⊉6644∕⩚≴∭⊉21545)","cot":[{"info":"⨈⪑≴∭⊉4155=≴∭⊉2350","layer":1},{"info":"≴∭⊉6644∕⩚≴∭⊉21545=≴∭⊉-6650","layer":1},{"info":"≴∭⊉2350⨟⋌⩍≴∭⊉-6650=NaN","layer":0}]}
+{"id":913,"expression_no_base_symbol":"(⪭⩑⪱$4171$)∺≝⩲(↩⪖$1392$)","expression":"(⪭⩑⪱≴∭⊉15106)∺≝⩲(↩⪖≴∭⊉4026)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":171788,"operation_count":3,"complexity_ratio":57262.666666666664,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":4171,"base":7}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1392,"base":7}}},"used_operators":["KPf6cnQVty","SIgE0bArFf","fG6uBQFnGz"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4171","layer":2},{"info":"compute unary expreesion, input=4171, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1392","layer":2},{"info":"compute unary expreesion, input=1392, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11334","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=-11334, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⪭⩑⪱≴∭⊉15106)∺≝⩲(↩⪖≴∭⊉4026)=≴∭⊉316","reverse_text":"≴∭⊉316=(⪭⩑⪱≴∭⊉15106)∺≝⩲(↩⪖≴∭⊉4026)","cot":[{"info":"⪭⩑⪱≴∭⊉15106=≴∭⊉130503516","layer":1},{"info":"↩⪖≴∭⊉4026=≴∭⊉-45021","layer":1},{"info":"≴∭⊉130503516∺≝⩲≴∭⊉-45021=≴∭⊉316","layer":0}]}
+{"id":914,"expression_no_base_symbol":"($4454$⊫∞)⪚⩙≫","expression":"(≴∭⊉15662⊫∞)⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23153,"operation_count":2,"complexity_ratio":11576.5,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":4454,"base":7}}},"used_operators":["4n53wtyJvv","pABnYW3G3E"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4454","layer":2},{"info":"compute unary expreesion, input=4454, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15662⊫∞)⪚⩙≫=NaN","reverse_text":"NaN=(≴∭⊉15662⊫∞)⪚⩙≫","cot":[{"info":"≴∭⊉15662⊫∞=≴∭⊉0","layer":1},{"info":"≴∭⊉0⪚⩙≫=NaN","layer":0}]}
+{"id":915,"expression_no_base_symbol":"($8922$%$2499$)≨($3961$⊢)","expression":"(≴∭⊉35004%≴∭⊉10200)≨(≴∭⊉14356⊢)","highest_n_order":3,"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":8922,"base":7},"right_expr":{"type":"numeric_atoms","value":2499,"base":7}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3961,"base":7}}},"used_operators":["0KMCeP1Jsh","k8jYdgA6NY","40aOVDgCDB"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","NTOWxs364D"],"result":"≴∭⊉-46220","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8922","layer":2},{"info":"number node, value=2499","layer":2},{"info":"compute binary expreesion, left_input=8922, right_input=2499, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1425","layer":1},{"info":"number node, value=3961","layer":2},{"info":"compute unary expreesion, input=3961, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4208","layer":1},{"info":"compute binary expreesion, left_input=1425, right_input=-4208, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11774","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉35004%≴∭⊉10200)≨(≴∭⊉14356⊢)=≴∭⊉-46220","reverse_text":"≴∭⊉-46220=(≴∭⊉35004%≴∭⊉10200)≨(≴∭⊉14356⊢)","cot":[{"info":"≴∭⊉35004%≴∭⊉10200=≴∭⊉4104","layer":1},{"info":"≴∭⊉14356⊢=≴∭⊉-15161","layer":1},{"info":"≴∭⊉4104≨≴∭⊉-15161=≴∭⊉-46220","layer":0}]}
+{"id":916,"expression_no_base_symbol":"↨($1500$⇔⨋)","expression":"↨(≴∭⊉4242⇔⨋)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":190,"operation_count":2,"complexity_ratio":95.0,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1500,"base":7}}},"used_operators":["jiX4gk2v2Q","uBihLCJcMX"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":2},{"info":"compute unary expreesion, input=1500, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=7930","layer":1},{"info":"compute unary expreesion, input=7930, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↨(≴∭⊉4242⇔⨋)=NaN","reverse_text":"NaN=↨(≴∭⊉4242⇔⨋)","cot":[{"info":"≴∭⊉4242⇔⨋=≴∭⊉32056","layer":1},{"info":"↨≴∭⊉32056=NaN","layer":0}]}
+{"id":917,"expression_no_base_symbol":"$1656$⇡⇂$5026$≬⇓$7657$⊲⩕⊾$1148$","expression":"≴∭⊉4554⇡⇂≴∭⊉20440≬⇓≴∭⊉31216⊲⩕⊾≴∭⊉3230","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32949,"operation_count":3,"complexity_ratio":10983.0,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1656,"base":7},"right_expr":{"type":"numeric_atoms","value":5026,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":7657,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}}},"used_operators":["jWTQ2TZYIH","UMwdvZNt44","DmTXOeWf9t"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":2},{"info":"number node, value=5026","layer":2},{"info":"compute binary expreesion, left_input=1656, right_input=5026, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=7657","layer":2},{"info":"number node, value=1148","layer":2},{"info":"compute binary expreesion, left_input=7657, right_input=1148, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-130622","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-130622, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4554⇡⇂≴∭⊉20440≬⇓≴∭⊉31216⊲⩕⊾≴∭⊉3230=NaN","reverse_text":"NaN=≴∭⊉4554⇡⇂≴∭⊉20440≬⇓≴∭⊉31216⊲⩕⊾≴∭⊉3230","cot":[{"info":"≴∭⊉4554⇡⇂≴∭⊉20440=NaN","layer":1},{"info":"≴∭⊉31216⊲⩕⊾≴∭⊉3230=≴∭⊉-1052552","layer":1},{"info":"NaN≬⇓≴∭⊉-1052552=NaN","layer":0}]}
+{"id":918,"expression_no_base_symbol":"$4791$⇂≾⫗$2465$⩧⪆($2369$⋝⋈⪟$5766$)","expression":"≴∭⊉16653⇂≾⫗≴∭⊉10121⩧⪆(≴∭⊉6623⋝⋈⪟≴∭⊉22545)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":4791,"base":7},"right_expr":{"type":"numeric_atoms","value":2465,"base":7}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2369,"base":7},"right_expr":{"type":"numeric_atoms","value":5766,"base":7}}},"used_operators":["Ikt5ks8PT7","aBQ6xLxuTc","2DDjHMKMc0"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-6623","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4791","layer":2},{"info":"number node, value=2465","layer":2},{"info":"compute binary expreesion, left_input=4791, right_input=2465, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=2369","layer":2},{"info":"number node, value=5766","layer":2},{"info":"compute binary expreesion, left_input=2369, right_input=5766, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2369","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=2369, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2369","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16653⇂≾⫗≴∭⊉10121⩧⪆(≴∭⊉6623⋝⋈⪟≴∭⊉22545)=≴∭⊉-6623","reverse_text":"≴∭⊉-6623=≴∭⊉16653⇂≾⫗≴∭⊉10121⩧⪆(≴∭⊉6623⋝⋈⪟≴∭⊉22545)","cot":[{"info":"≴∭⊉16653⇂≾⫗≴∭⊉10121=≴∭⊉-1654","layer":1},{"info":"≴∭⊉6623⋝⋈⪟≴∭⊉22545=≴∭⊉6623","layer":1},{"info":"≴∭⊉-1654⩧⪆≴∭⊉6623=≴∭⊉-6623","layer":0}]}
+{"id":919,"expression_no_base_symbol":"$4862$⫘$4724$⫰⋱$1133$+⇶⊼$1203$","expression":"≴∭⊉20114⫘≴∭⊉16526⫰⋱≴∭⊉3206+⇶⊼≴∭⊉3336","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5086,"operation_count":3,"complexity_ratio":1695.3333333333333,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4862,"base":7},"right_expr":{"type":"numeric_atoms","value":4724,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1133,"base":7},"right_expr":{"type":"numeric_atoms","value":1203,"base":7}}},"used_operators":["6o9Blt3TJ6","48vC8HMD2b","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4862","layer":2},{"info":"number node, value=4724","layer":2},{"info":"compute binary expreesion, left_input=4862, right_input=4724, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5722117","layer":1},{"info":"number node, value=1133","layer":2},{"info":"number node, value=1203","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=1203, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=5722117, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20114⫘≴∭⊉16526⫰⋱≴∭⊉3206+⇶⊼≴∭⊉3336=NaN","reverse_text":"NaN=≴∭⊉20114⫘≴∭⊉16526⫰⋱≴∭⊉3206+⇶⊼≴∭⊉3336","cot":[{"info":"≴∭⊉20114⫘≴∭⊉16526=≴∭⊉66431362","layer":1},{"info":"≴∭⊉3206+⇶⊼≴∭⊉3336=NaN","layer":1},{"info":"≴∭⊉66431362⫰⋱NaN=NaN","layer":0}]}
+{"id":920,"expression_no_base_symbol":"$1699$⋛$3010$⪔($4088$*$1212$)","expression":"≴∭⊉4645⋛≴∭⊉11530⪔(≴∭⊉14630*≴∭⊉3351)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1562,"operation_count":3,"complexity_ratio":520.6666666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1699,"base":7},"right_expr":{"type":"numeric_atoms","value":3010,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4088,"base":7},"right_expr":{"type":"numeric_atoms","value":1212,"base":7}}},"used_operators":["GjBEYRfMaF","YbUVn0Rbpy","9HNa5Wba9A"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1699","layer":2},{"info":"number node, value=3010","layer":2},{"info":"compute binary expreesion, left_input=1699, right_input=3010, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-116901","layer":1},{"info":"number node, value=4088","layer":2},{"info":"number node, value=1212","layer":2},{"info":"compute binary expreesion, left_input=4088, right_input=1212, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4954656","layer":1},{"info":"compute binary expreesion, left_input=-116901, right_input=4954656, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4645⋛≴∭⊉11530⪔(≴∭⊉14630*≴∭⊉3351)=≴∭⊉1212","reverse_text":"≴∭⊉1212=≴∭⊉4645⋛≴∭⊉11530⪔(≴∭⊉14630*≴∭⊉3351)","cot":[{"info":"≴∭⊉4645⋛≴∭⊉11530=≴∭⊉-664551","layer":1},{"info":"≴∭⊉14630*≴∭⊉3351=≴∭⊉60054030","layer":1},{"info":"≴∭⊉-664551⪔≴∭⊉60054030=≴∭⊉1212","layer":0}]}
+{"id":921,"expression_no_base_symbol":"($3571$⨼⩣$5448$)≁↽≥(⨵≀≌$3822$)","expression":"(≴∭⊉13261⨼⩣≴∭⊉21612)≁↽≥(⨵≀≌≴∭⊉14100)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11876,"operation_count":3,"complexity_ratio":3958.6666666666665,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3571,"base":7},"right_expr":{"type":"numeric_atoms","value":5448,"base":7}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3822,"base":7}}},"used_operators":["ncHt1X6cMc","JxwMv5le6e","srAu1WTS94"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"≴∭⊉400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3571","layer":2},{"info":"number node, value=5448","layer":2},{"info":"compute binary expreesion, left_input=3571, right_input=5448, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3822","layer":2},{"info":"compute unary expreesion, input=3822, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11466","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11466, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13261⨼⩣≴∭⊉21612)≁↽≥(⨵≀≌≴∭⊉14100)=≴∭⊉400","reverse_text":"≴∭⊉400=(≴∭⊉13261⨼⩣≴∭⊉21612)≁↽≥(⨵≀≌≴∭⊉14100)","cot":[{"info":"≴∭⊉13261⨼⩣≴∭⊉21612=NaN","layer":1},{"info":"⨵≀≌≴∭⊉14100=≴∭⊉-45300","layer":1},{"info":"NaN≁↽≥≴∭⊉-45300=≴∭⊉400","layer":0}]}
+{"id":922,"expression_no_base_symbol":"($1268$↡⊰⫅$1182$)⇤$4422$≁↽≥$1843$","expression":"(≴∭⊉3461↡⊰⫅≴∭⊉3306)⇤≴∭⊉15615≁↽≥≴∭⊉5242","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16605,"operation_count":3,"complexity_ratio":5535.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1268,"base":7},"right_expr":{"type":"numeric_atoms","value":1182,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4422,"base":7},"right_expr":{"type":"numeric_atoms","value":1843,"base":7}}},"used_operators":["YSKBFp38Pu","VCtxkLNOzz","ncHt1X6cMc"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","oWn0xqSxBt","3Oe9XWJUTD"],"result":"≴∭⊉-2531625","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":2},{"info":"number node, value=1182","layer":2},{"info":"compute binary expreesion, left_input=1268, right_input=1182, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2364","layer":1},{"info":"number node, value=4422","layer":2},{"info":"number node, value=1843","layer":2},{"info":"compute binary expreesion, left_input=4422, right_input=1843, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=63644","layer":1},{"info":"compute binary expreesion, left_input=2364, right_input=63644, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-327192","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3461↡⊰⫅≴∭⊉3306)⇤≴∭⊉15615≁↽≥≴∭⊉5242=≴∭⊉-2531625","reverse_text":"≴∭⊉-2531625=(≴∭⊉3461↡⊰⫅≴∭⊉3306)⇤≴∭⊉15615≁↽≥≴∭⊉5242","cot":[{"info":"≴∭⊉3461↡⊰⫅≴∭⊉3306=≴∭⊉6615","layer":1},{"info":"≴∭⊉15615≁↽≥≴∭⊉5242=≴∭⊉353360","layer":1},{"info":"≴∭⊉6615⇤≴∭⊉353360=≴∭⊉-2531625","layer":0}]}
+{"id":923,"expression_no_base_symbol":"$1104$↳≱$3866$⨻⩈⩔$3865$↓$5626$","expression":"≴∭⊉3135↳≱≴∭⊉14162⨻⩈⩔≴∭⊉14161↓≴∭⊉22255","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79215,"operation_count":3,"complexity_ratio":26405.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1104,"base":7},"right_expr":{"type":"numeric_atoms","value":3866,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3865,"base":7},"right_expr":{"type":"numeric_atoms","value":5626,"base":7}}},"used_operators":["nEsXyWgiOK","JwTKLfZU96","Af076pWI7l"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1104","layer":2},{"info":"number node, value=3866","layer":2},{"info":"compute binary expreesion, left_input=1104, right_input=3866, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=3865","layer":2},{"info":"number node, value=5626","layer":2},{"info":"compute binary expreesion, left_input=3865, right_input=5626, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3135↳≱≴∭⊉14162⨻⩈⩔≴∭⊉14161↓≴∭⊉22255=≴∭⊉-336","reverse_text":"≴∭⊉-336=≴∭⊉3135↳≱≴∭⊉14162⨻⩈⩔≴∭⊉14161↓≴∭⊉22255","cot":[{"info":"≴∭⊉3135↳≱≴∭⊉14162=≴∭⊉0","layer":1},{"info":"≴∭⊉14161↓≴∭⊉22255=≴∭⊉-251","layer":1},{"info":"≴∭⊉0⨻⩈⩔≴∭⊉-251=≴∭⊉-336","layer":0}]}
+{"id":924,"expression_no_base_symbol":"($2316$⨥⫆$1410$)⫁(⨴⫝$1530$)","expression":"(≴∭⊉6516⨥⫆≴∭⊉4053)⫁(⨴⫝≴∭⊉4314)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1930,"operation_count":3,"complexity_ratio":643.3333333333334,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2316,"base":7},"right_expr":{"type":"numeric_atoms","value":1410,"base":7}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1530,"base":7}}},"used_operators":["0ajvFaJAv0","yXekIHxTD4","SVb2v531z1"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2316","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=2316, right_input=1410, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2696","layer":1},{"info":"number node, value=1530","layer":2},{"info":"compute unary expreesion, input=1530, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"compute binary expreesion, left_input=2696, right_input=2828198, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6516⨥⫆≴∭⊉4053)⫁(⨴⫝≴∭⊉4314)=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉6516⨥⫆≴∭⊉4053)⫁(⨴⫝≴∭⊉4314)","cot":[{"info":"≴∭⊉6516⨥⫆≴∭⊉4053=≴∭⊉10601","layer":1},{"info":"⨴⫝≴∭⊉4314=≴∭⊉33016322","layer":1},{"info":"≴∭⊉10601⫁≴∭⊉33016322=≴∭⊉316","layer":0}]}
+{"id":925,"expression_no_base_symbol":"⪲⇎$2136$↼⊘⨖$2836$","expression":"⪲⇎≴∭⊉6141↼⊘⨖≴∭⊉11161","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":2136,"base":7},"right_expr":{"type":"numeric_atoms","value":2836,"base":7}}},"used_operators":["XPYlsWDdGa","bPywburJMS"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≴∭⊉43531","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2136","layer":2},{"info":"number node, value=2836","layer":2},{"info":"compute binary expreesion, left_input=2136, right_input=2836, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5450","layer":1},{"info":"compute unary expreesion, input=5450, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10900","layer":0}],"base":7,"result_base":7,"text":"⪲⇎≴∭⊉6141↼⊘⨖≴∭⊉11161=≴∭⊉43531","reverse_text":"≴∭⊉43531=⪲⇎≴∭⊉6141↼⊘⨖≴∭⊉11161","cot":[{"info":"≴∭⊉6141↼⊘⨖≴∭⊉11161=≴∭⊉21614","layer":1},{"info":"⪲⇎≴∭⊉21614=≴∭⊉43531","layer":0}]}
+{"id":926,"expression_no_base_symbol":"($1161$⫉⨲⊜$1595$)⨘","expression":"(≴∭⊉3246⫉⨲⊜≴∭⊉4436)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1161,"base":7},"right_expr":{"type":"numeric_atoms","value":1595,"base":7}}},"used_operators":["ljcfZBUpm8","WhqkvtTD3t"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉-2155","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":2},{"info":"number node, value=1595","layer":2},{"info":"compute binary expreesion, left_input=1161, right_input=1595, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-775","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3246⫉⨲⊜≴∭⊉4436)⨘=≴∭⊉-2155","reverse_text":"≴∭⊉-2155=(≴∭⊉3246⫉⨲⊜≴∭⊉4436)⨘","cot":[{"info":"≴∭⊉3246⫉⨲⊜≴∭⊉4436=≴∭⊉0","layer":1},{"info":"≴∭⊉0⨘=≴∭⊉-2155","layer":0}]}
+{"id":927,"expression_no_base_symbol":"$3055$∠⫱$2982$↙$3201$≎⪠$2660$","expression":"≴∭⊉11623∠⫱≴∭⊉11460↙≴∭⊉12222≎⪠≴∭⊉10520","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38675,"operation_count":3,"complexity_ratio":12891.666666666666,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3055,"base":7},"right_expr":{"type":"numeric_atoms","value":2982,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3201,"base":7},"right_expr":{"type":"numeric_atoms","value":2660,"base":7}}},"used_operators":["yyfyN0ffXY","QvoQhV0rrE","aNhz54LH3e"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉-333030","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3055","layer":2},{"info":"number node, value=2982","layer":2},{"info":"compute binary expreesion, left_input=3055, right_input=2982, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"number node, value=3201","layer":2},{"info":"number node, value=2660","layer":2},{"info":"compute binary expreesion, left_input=3201, right_input=2660, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=19558, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-58674","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11623∠⫱≴∭⊉11460↙≴∭⊉12222≎⪠≴∭⊉10520=≴∭⊉-333030","reverse_text":"≴∭⊉-333030=≴∭⊉11623∠⫱≴∭⊉11460↙≴∭⊉12222≎⪠≴∭⊉10520","cot":[{"info":"≴∭⊉11623∠⫱≴∭⊉11460=≴∭⊉3412","layer":1},{"info":"≴∭⊉12222≎⪠≴∭⊉10520=≴∭⊉111010","layer":1},{"info":"≴∭⊉3412↙≴∭⊉111010=≴∭⊉-333030","layer":0}]}
+{"id":928,"expression_no_base_symbol":"$2798$≬⋮$8886$-(≦∁$7855$)","expression":"≴∭⊉11105≬⋮≴∭⊉34623-(≦∁≴∭⊉31621)","highest_n_order":2,"priority_hierarchical_complexity":2,"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":2798,"base":7},"right_expr":{"type":"numeric_atoms","value":8886,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7855,"base":7}}},"used_operators":["rysDP5nf3Z","kbkesczE7y","9ICcGScMcE"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉-26241","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":2},{"info":"number node, value=8886","layer":2},{"info":"compute binary expreesion, left_input=2798, right_input=8886, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=7855","layer":2},{"info":"compute unary expreesion, input=7855, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7855","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=7855, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6987","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11105≬⋮≴∭⊉34623-(≦∁≴∭⊉31621)=≴∭⊉-26241","reverse_text":"≴∭⊉-26241=≴∭⊉11105≬⋮≴∭⊉34623-(≦∁≴∭⊉31621)","cot":[{"info":"≴∭⊉11105≬⋮≴∭⊉34623=≴∭⊉2350","layer":1},{"info":"≦∁≴∭⊉31621=≴∭⊉31621","layer":1},{"info":"≴∭⊉2350-≴∭⊉31621=≴∭⊉-26241","layer":0}]}
+{"id":929,"expression_no_base_symbol":"(⫵↿$1117$)∴≳≥","expression":"(⫵↿≴∭⊉3154)∴≳≥","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":1117,"base":7}}},"used_operators":["a3N2hFLK0J","ivGwdmUAux"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a"],"result":"≴∭⊉1412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":2},{"info":"compute unary expreesion, input=1117, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":1},{"info":"compute unary expreesion, input=137, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=548","layer":0}],"base":7,"result_base":7,"text":"(⫵↿≴∭⊉3154)∴≳≥=≴∭⊉1412","reverse_text":"≴∭⊉1412=(⫵↿≴∭⊉3154)∴≳≥","cot":[{"info":"⫵↿≴∭⊉3154=≴∭⊉254","layer":1},{"info":"≴∭⊉254∴≳≥=≴∭⊉1412","layer":0}]}
+{"id":930,"expression_no_base_symbol":"$5092$⩘$3148$⋳⪒($1045$⩨$2916$)","expression":"≴∭⊉20563⩘≴∭⊉12115⋳⪒(≴∭⊉3022⩨≴∭⊉11334)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5092,"base":7},"right_expr":{"type":"numeric_atoms","value":3148,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":2916,"base":7}}},"used_operators":["12rbrZMWeM","cHh1gJQ2o6","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≴∭⊉54","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5092","layer":2},{"info":"number node, value=3148","layer":2},{"info":"compute binary expreesion, left_input=5092, right_input=3148, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=1045","layer":2},{"info":"number node, value=2916","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=2916, 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=160, right_input=-6, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=39","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20563⩘≴∭⊉12115⋳⪒(≴∭⊉3022⩨≴∭⊉11334)=≴∭⊉54","reverse_text":"≴∭⊉54=≴∭⊉20563⩘≴∭⊉12115⋳⪒(≴∭⊉3022⩨≴∭⊉11334)","cot":[{"info":"≴∭⊉20563⩘≴∭⊉12115=≴∭⊉316","layer":1},{"info":"≴∭⊉3022⩨≴∭⊉11334=≴∭⊉-6","layer":1},{"info":"≴∭⊉316⋳⪒≴∭⊉-6=≴∭⊉54","layer":0}]}
+{"id":931,"expression_no_base_symbol":"($4434$⫌⩉⩟$4133$)+⇶⊼($5936$⪣⫩)","expression":"(≴∭⊉15633⫌⩉⩟≴∭⊉15023)+⇶⊼(≴∭⊉23210⪣⫩)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21284,"operation_count":3,"complexity_ratio":7094.666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4434,"base":7},"right_expr":{"type":"numeric_atoms","value":4133,"base":7}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":5936,"base":7}}},"used_operators":["TpPTUOHfaN","XIIwhv8d0m","iuk5sVOGFA"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4434","layer":2},{"info":"number node, value=4133","layer":2},{"info":"compute binary expreesion, left_input=4434, right_input=4133, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=5936","layer":2},{"info":"compute unary expreesion, input=5936, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=17775","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=17775, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":7,"result_base":7,"text":"(≴∭⊉15633⫌⩉⩟≴∭⊉15023)+⇶⊼(≴∭⊉23210⪣⫩)=NaN","reverse_text":"NaN=(≴∭⊉15633⫌⩉⩟≴∭⊉15023)+⇶⊼(≴∭⊉23210⪣⫩)","cot":[{"info":"≴∭⊉15633⫌⩉⩟≴∭⊉15023=≴∭⊉-101","layer":1},{"info":"≴∭⊉23210⪣⫩=≴∭⊉102552","layer":1},{"info":"≴∭⊉-101+⇶⊼≴∭⊉102552=NaN","layer":0}]}
+{"id":932,"expression_no_base_symbol":"$1418$⨥⫆$2019$≋⫹","expression":"≴∭⊉4064⨥⫆≴∭⊉5613≋⫹","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":1418,"base":7},"right_expr":{"type":"numeric_atoms","value":2019,"base":7}}},"used_operators":["N41Kp7NANJ","yXekIHxTD4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≴∭⊉-31552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":2},{"info":"number node, value=2019","layer":2},{"info":"compute binary expreesion, left_input=1418, right_input=2019, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3914","layer":1},{"info":"compute unary expreesion, input=3914, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7828","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4064⨥⫆≴∭⊉5613≋⫹=≴∭⊉-31552","reverse_text":"≴∭⊉-31552=≴∭⊉4064⨥⫆≴∭⊉5613≋⫹","cot":[{"info":"≴∭⊉4064⨥⫆≴∭⊉5613=≴∭⊉14261","layer":1},{"info":"≴∭⊉14261≋⫹=≴∭⊉-31552","layer":0}]}
+{"id":933,"expression_no_base_symbol":"(⨰⫟⨤$3343$)⫁$3465$⋹⋡⊁$1231$","expression":"(⨰⫟⨤≴∭⊉12514)⫁≴∭⊉13050⋹⋡⊁≴∭⊉3406","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75162,"operation_count":3,"complexity_ratio":25054.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3343,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3465,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}}},"used_operators":["0ajvFaJAv0","Tw270M8GLb","As8RqfVLgs"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3343","layer":2},{"info":"compute unary expreesion, input=3343, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3465","layer":2},{"info":"number node, value=1231","layer":2},{"info":"compute binary expreesion, left_input=3465, right_input=1231, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1981","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1981, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⨰⫟⨤≴∭⊉12514)⫁≴∭⊉13050⋹⋡⊁≴∭⊉3406=≴∭⊉316","reverse_text":"≴∭⊉316=(⨰⫟⨤≴∭⊉12514)⫁≴∭⊉13050⋹⋡⊁≴∭⊉3406","cot":[{"info":"⨰⫟⨤≴∭⊉12514=NaN","layer":1},{"info":"≴∭⊉13050⋹⋡⊁≴∭⊉3406=≴∭⊉5530","layer":1},{"info":"NaN⫁≴∭⊉5530=≴∭⊉316","layer":0}]}
+{"id":934,"expression_no_base_symbol":"($2589$+$4545$)⫌⩉⩟$6557$↓$1201$","expression":"(≴∭⊉10356+≴∭⊉16152)⫌⩉⩟≴∭⊉25055↓≴∭⊉3334","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37962,"operation_count":3,"complexity_ratio":12654.0,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2589,"base":7},"right_expr":{"type":"numeric_atoms","value":4545,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6557,"base":7},"right_expr":{"type":"numeric_atoms","value":1201,"base":7}}},"used_operators":["XIIwhv8d0m","W4YGzv6Whe","Af076pWI7l"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2589","layer":2},{"info":"number node, value=4545","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=4545, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7134","layer":1},{"info":"number node, value=6557","layer":2},{"info":"number node, value=1201","layer":2},{"info":"compute binary expreesion, left_input=6557, right_input=1201, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=7134, right_input=-134, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10356+≴∭⊉16152)⫌⩉⩟≴∭⊉25055↓≴∭⊉3334=≴∭⊉-101","reverse_text":"≴∭⊉-101=(≴∭⊉10356+≴∭⊉16152)⫌⩉⩟≴∭⊉25055↓≴∭⊉3334","cot":[{"info":"≴∭⊉10356+≴∭⊉16152=≴∭⊉26541","layer":1},{"info":"≴∭⊉25055↓≴∭⊉3334=≴∭⊉-251","layer":1},{"info":"≴∭⊉26541⫌⩉⩟≴∭⊉-251=≴∭⊉-101","layer":0}]}
+{"id":935,"expression_no_base_symbol":"≑⋹($2963$↓$7651$)","expression":"≑⋹(≴∭⊉11432↓≴∭⊉31210)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":107867,"operation_count":2,"complexity_ratio":53933.5,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2963,"base":7},"right_expr":{"type":"numeric_atoms","value":7651,"base":7}}},"used_operators":["6B9nyZLogK","Af076pWI7l"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-2011","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2963","layer":2},{"info":"number node, value=7651","layer":2},{"info":"compute binary expreesion, left_input=2963, right_input=7651, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":0}],"base":7,"result_base":7,"text":"≑⋹(≴∭⊉11432↓≴∭⊉31210)=≴∭⊉-2011","reverse_text":"≴∭⊉-2011=≑⋹(≴∭⊉11432↓≴∭⊉31210)","cot":[{"info":"≴∭⊉11432↓≴∭⊉31210=≴∭⊉-251","layer":1},{"info":"≑⋹≴∭⊉-251=≴∭⊉-2011","layer":0}]}
+{"id":936,"expression_no_base_symbol":"$1324$⊔$1945$∑⇟⊟$3343$↓$3256$","expression":"≴∭⊉3601⊔≴∭⊉5446∑⇟⊟≴∭⊉12514↓≴∭⊉12331","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":84040,"operation_count":3,"complexity_ratio":28013.333333333332,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1324,"base":7},"right_expr":{"type":"numeric_atoms","value":1945,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3343,"base":7},"right_expr":{"type":"numeric_atoms","value":3256,"base":7}}},"used_operators":["U7g4x0WXJJ","E4l6HwMY31","Af076pWI7l"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":2},{"info":"number node, value=1945","layer":2},{"info":"compute binary expreesion, left_input=1324, right_input=1945, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9973","layer":1},{"info":"number node, value=3343","layer":2},{"info":"number node, value=3256","layer":2},{"info":"compute binary expreesion, left_input=3343, right_input=3256, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=9973, right_input=-134, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3601⊔≴∭⊉5446∑⇟⊟≴∭⊉12514↓≴∭⊉12331=NaN","reverse_text":"NaN=≴∭⊉3601⊔≴∭⊉5446∑⇟⊟≴∭⊉12514↓≴∭⊉12331","cot":[{"info":"≴∭⊉3601⊔≴∭⊉5446=≴∭⊉41035","layer":1},{"info":"≴∭⊉12514↓≴∭⊉12331=≴∭⊉-251","layer":1},{"info":"≴∭⊉41035∑⇟⊟≴∭⊉-251=NaN","layer":0}]}
+{"id":937,"expression_no_base_symbol":"$2864$≁$3546$⫲≸⪮(⫡⇟⇯$1977$)","expression":"≴∭⊉11231≁≴∭⊉13224⫲≸⪮(⫡⇟⇯≴∭⊉5523)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71978,"operation_count":3,"complexity_ratio":23992.666666666668,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2864,"base":7},"right_expr":{"type":"numeric_atoms","value":3546,"base":7}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1977,"base":7}}},"used_operators":["P3lXMJvFrc","8N2wDY1A35","qWUSsah53b"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","P8v4zCKN1o"],"result":"≴∭⊉416426","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2864","layer":2},{"info":"number node, value=3546","layer":2},{"info":"compute binary expreesion, left_input=2864, right_input=3546, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=71903","layer":1},{"info":"number node, value=1977","layer":2},{"info":"compute unary expreesion, input=1977, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4822","layer":1},{"info":"compute binary expreesion, left_input=71903, right_input=4822, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=71903","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉11231≁≴∭⊉13224⫲≸⪮(⫡⇟⇯≴∭⊉5523)=≴∭⊉416426","reverse_text":"≴∭⊉416426=≴∭⊉11231≁≴∭⊉13224⫲≸⪮(⫡⇟⇯≴∭⊉5523)","cot":[{"info":"≴∭⊉11231≁≴∭⊉13224=≴∭⊉416426","layer":1},{"info":"⫡⇟⇯≴∭⊉5523=≴∭⊉20026","layer":1},{"info":"≴∭⊉416426⫲≸⪮≴∭⊉20026=≴∭⊉416426","layer":0}]}
+{"id":938,"expression_no_base_symbol":"($5255$≭$6944$)⪝($2039$↓$4869$)","expression":"(≴∭⊉21215≭≴∭⊉26150)⪝(≴∭⊉5642↓≴∭⊉20124)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68878,"operation_count":3,"complexity_ratio":22959.333333333332,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5255,"base":7},"right_expr":{"type":"numeric_atoms","value":6944,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2039,"base":7},"right_expr":{"type":"numeric_atoms","value":4869,"base":7}}},"used_operators":["wicAB68Tmb","rxpJgHHUmx","Af076pWI7l"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5255","layer":2},{"info":"number node, value=6944","layer":2},{"info":"compute binary expreesion, left_input=5255, right_input=6944, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2039","layer":2},{"info":"number node, value=4869","layer":2},{"info":"compute binary expreesion, left_input=2039, right_input=4869, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21215≭≴∭⊉26150)⪝(≴∭⊉5642↓≴∭⊉20124)=NaN","reverse_text":"NaN=(≴∭⊉21215≭≴∭⊉26150)⪝(≴∭⊉5642↓≴∭⊉20124)","cot":[{"info":"≴∭⊉21215≭≴∭⊉26150=NaN","layer":1},{"info":"≴∭⊉5642↓≴∭⊉20124=≴∭⊉-251","layer":1},{"info":"NaN⪝≴∭⊉-251=NaN","layer":0}]}
+{"id":939,"expression_no_base_symbol":"⇠($2022$⨔≚≋$7661$)","expression":"⇠(≴∭⊉5616⨔≚≋≴∭⊉31223)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":2,"complexity_ratio":29.5,"tree":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2022,"base":7},"right_expr":{"type":"numeric_atoms","value":7661,"base":7}}},"used_operators":["18saOjeKKm","Z57zeUYC9z"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉-40035","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":2},{"info":"number node, value=7661","layer":2},{"info":"compute binary expreesion, left_input=2022, right_input=7661, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute unary expreesion, input=9872, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-9630","layer":0}],"base":7,"result_base":7,"text":"⇠(≴∭⊉5616⨔≚≋≴∭⊉31223)=≴∭⊉-40035","reverse_text":"≴∭⊉-40035=⇠(≴∭⊉5616⨔≚≋≴∭⊉31223)","cot":[{"info":"≴∭⊉5616⨔≚≋≴∭⊉31223=≴∭⊉40532","layer":1},{"info":"⇠≴∭⊉40532=≴∭⊉-40035","layer":0}]}
+{"id":940,"expression_no_base_symbol":"(⨰⫟⨤$2508$)≧⫂∧($1719$⨁⊸⫻)","expression":"(⨰⫟⨤≴∭⊉10212)≧⫂∧(≴∭⊉5004⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9194,"operation_count":3,"complexity_ratio":3064.6666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2508,"base":7}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1719,"base":7}}},"used_operators":["Ph9nP6C5qx","Tw270M8GLb","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉3430","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2508","layer":2},{"info":"compute unary expreesion, input=2508, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1719","layer":2},{"info":"compute unary expreesion, input=1719, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1719","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1719, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1246","layer":0}],"base":7,"result_base":7,"text":"(⨰⫟⨤≴∭⊉10212)≧⫂∧(≴∭⊉5004⨁⊸⫻)=≴∭⊉3430","reverse_text":"≴∭⊉3430=(⨰⫟⨤≴∭⊉10212)≧⫂∧(≴∭⊉5004⨁⊸⫻)","cot":[{"info":"⨰⫟⨤≴∭⊉10212=NaN","layer":1},{"info":"≴∭⊉5004⨁⊸⫻=≴∭⊉5004","layer":1},{"info":"NaN≧⫂∧≴∭⊉5004=≴∭⊉3430","layer":0}]}
+{"id":941,"expression_no_base_symbol":"(⊢≑≆$2726$)⨟⋌⩍($1315$≬⋮$1520$)","expression":"(⊢≑≆≴∭⊉10643)⨟⋌⩍(≴∭⊉3556≬⋮≴∭⊉4301)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4006,"operation_count":3,"complexity_ratio":1335.3333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2726,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1315,"base":7},"right_expr":{"type":"numeric_atoms","value":1520,"base":7}}},"used_operators":["rGHVDoGpnC","27wFxooxGf","kbkesczE7y"],"dependent_operators":["Tcnh7f0tEr","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2726","layer":2},{"info":"compute unary expreesion, input=2726, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=11356","layer":1},{"info":"number node, value=1315","layer":2},{"info":"number node, value=1520","layer":2},{"info":"compute binary expreesion, left_input=1315, right_input=1520, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=11356, right_input=868, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 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":7,"result_base":7,"text":"(⊢≑≆≴∭⊉10643)⨟⋌⩍(≴∭⊉3556≬⋮≴∭⊉4301)=≴∭⊉0","reverse_text":"≴∭⊉0=(⊢≑≆≴∭⊉10643)⨟⋌⩍(≴∭⊉3556≬⋮≴∭⊉4301)","cot":[{"info":"⊢≑≆≴∭⊉10643=≴∭⊉45052","layer":1},{"info":"≴∭⊉3556≬⋮≴∭⊉4301=≴∭⊉2350","layer":1},{"info":"≴∭⊉45052⨟⋌⩍≴∭⊉2350=≴∭⊉0","layer":0}]}
+{"id":942,"expression_no_base_symbol":"(⊿$1117$)⋕⪉⪜($4293$⫢⨠$2848$)","expression":"(⊿≴∭⊉3154)⋕⪉⪜(≴∭⊉15342⫢⨠≴∭⊉11206)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":110,"operation_count":3,"complexity_ratio":36.666666666666664,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1117,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4293,"base":7},"right_expr":{"type":"numeric_atoms","value":2848,"base":7}}},"used_operators":["z6LnFrNh4i","DO4fhlbJSI","xlXykHWxX1"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":2},{"info":"compute unary expreesion, input=1117, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5206","layer":1},{"info":"number node, value=4293","layer":2},{"info":"number node, value=2848","layer":2},{"info":"compute binary expreesion, left_input=4293, right_input=2848, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-5206, right_input=160, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":7,"result_base":7,"text":"(⊿≴∭⊉3154)⋕⪉⪜(≴∭⊉15342⫢⨠≴∭⊉11206)=≴∭⊉411","reverse_text":"≴∭⊉411=(⊿≴∭⊉3154)⋕⪉⪜(≴∭⊉15342⫢⨠≴∭⊉11206)","cot":[{"info":"⊿≴∭⊉3154=≴∭⊉-21115","layer":1},{"info":"≴∭⊉15342⫢⨠≴∭⊉11206=≴∭⊉316","layer":1},{"info":"≴∭⊉-21115⋕⪉⪜≴∭⊉316=≴∭⊉411","layer":0}]}
+{"id":943,"expression_no_base_symbol":"(⨣⨃⇪$3730$)∼($6558$≬⇓$1518$)","expression":"(⨣⨃⇪≴∭⊉13606)∼(≴∭⊉25056≬⇓≴∭⊉4266)","highest_n_order":4,"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":3730,"base":7}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":6558,"base":7},"right_expr":{"type":"numeric_atoms","value":1518,"base":7}}},"used_operators":["DyGG3AbaNP","AcOhelriW5","jWTQ2TZYIH"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3730","layer":2},{"info":"compute unary expreesion, input=3730, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=6558","layer":2},{"info":"number node, value=1518","layer":2},{"info":"compute binary expreesion, left_input=6558, right_input=1518, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=-22, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⨣⨃⇪≴∭⊉13606)∼(≴∭⊉25056≬⇓≴∭⊉4266)=≴∭⊉0","reverse_text":"≴∭⊉0=(⨣⨃⇪≴∭⊉13606)∼(≴∭⊉25056≬⇓≴∭⊉4266)","cot":[{"info":"⨣⨃⇪≴∭⊉13606=≴∭⊉4045","layer":1},{"info":"≴∭⊉25056≬⇓≴∭⊉4266=≴∭⊉-31","layer":1},{"info":"≴∭⊉4045∼≴∭⊉-31=≴∭⊉0","layer":0}]}
+{"id":944,"expression_no_base_symbol":"⪭⩑⪱$2298$⨥⫆$1169$","expression":"⪭⩑⪱≴∭⊉6462⨥⫆≴∭⊉3260","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":782006,"operation_count":2,"complexity_ratio":391003.0,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2298,"base":7},"right_expr":{"type":"numeric_atoms","value":1169,"base":7}}},"used_operators":["SIgE0bArFf","yXekIHxTD4"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≴∭⊉130503516","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2298","layer":2},{"info":"number node, value=1169","layer":2},{"info":"compute binary expreesion, left_input=2298, right_input=1169, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2214","layer":1},{"info":"compute unary expreesion, input=2214, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":7,"result_base":7,"text":"⪭⩑⪱≴∭⊉6462⨥⫆≴∭⊉3260=≴∭⊉130503516","reverse_text":"≴∭⊉130503516=⪭⩑⪱≴∭⊉6462⨥⫆≴∭⊉3260","cot":[{"info":"≴∭⊉6462⨥⫆≴∭⊉3260=≴∭⊉6312","layer":1},{"info":"⪭⩑⪱≴∭⊉6312=≴∭⊉130503516","layer":0}]}
+{"id":945,"expression_no_base_symbol":"⩎⋉($3607$⨚$1459$)","expression":"⩎⋉(≴∭⊉13342⨚≴∭⊉4153)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":92,"operation_count":2,"complexity_ratio":46.0,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3607,"base":7},"right_expr":{"type":"numeric_atoms","value":1459,"base":7}}},"used_operators":["FlXk3pOYe8","nREPSIbpBE"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","BjRHVeLaeN","12rbrZMWeM"],"result":"≴∭⊉4545","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3607","layer":2},{"info":"number node, value=1459","layer":2},{"info":"compute binary expreesion, left_input=3607, right_input=1459, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=2312","layer":1},{"info":"compute unary expreesion, input=2312, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":0}],"base":7,"result_base":7,"text":"⩎⋉(≴∭⊉13342⨚≴∭⊉4153)=≴∭⊉4545","reverse_text":"≴∭⊉4545=⩎⋉(≴∭⊉13342⨚≴∭⊉4153)","cot":[{"info":"≴∭⊉13342⨚≴∭⊉4153=≴∭⊉6512","layer":1},{"info":"⩎⋉≴∭⊉6512=≴∭⊉4545","layer":0}]}
+{"id":946,"expression_no_base_symbol":"$4652$⊮⊟↴$4825$↤⩊($5164$⨔⇊$3786$)","expression":"≴∭⊉16364⊮⊟↴≴∭⊉20032↤⩊(≴∭⊉21025⨔⇊≴∭⊉14016)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":218,"operation_count":3,"complexity_ratio":72.66666666666667,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4652,"base":7},"right_expr":{"type":"numeric_atoms","value":4825,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5164,"base":7},"right_expr":{"type":"numeric_atoms","value":3786,"base":7}}},"used_operators":["13rbtpv6ld","QDVgd2eftb","JclMnS0uGI"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4652","layer":2},{"info":"number node, value=4825","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=4825, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=5164","layer":2},{"info":"number node, value=3786","layer":2},{"info":"compute binary expreesion, left_input=5164, right_input=3786, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3786","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3786, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16364⊮⊟↴≴∭⊉20032↤⩊(≴∭⊉21025⨔⇊≴∭⊉14016)=NaN","reverse_text":"NaN=≴∭⊉16364⊮⊟↴≴∭⊉20032↤⩊(≴∭⊉21025⨔⇊≴∭⊉14016)","cot":[{"info":"≴∭⊉16364⊮⊟↴≴∭⊉20032=≴∭⊉0","layer":1},{"info":"≴∭⊉21025⨔⇊≴∭⊉14016=≴∭⊉14016","layer":1},{"info":"≴∭⊉0↤⩊≴∭⊉14016=NaN","layer":0}]}
+{"id":947,"expression_no_base_symbol":"($6137$⫲≸⪮$3001$)⫗⊷⫓($6686$∖$3163$)","expression":"(≴∭⊉23615⫲≸⪮≴∭⊉11515)⫗⊷⫓(≴∭⊉25331∖≴∭⊉12136)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":94141,"operation_count":3,"complexity_ratio":31380.333333333332,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6137,"base":7},"right_expr":{"type":"numeric_atoms","value":3001,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6686,"base":7},"right_expr":{"type":"numeric_atoms","value":3163,"base":7}}},"used_operators":["zashukvMKz","P3lXMJvFrc","tXD093vOjl"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6137","layer":2},{"info":"number node, value=3001","layer":2},{"info":"compute binary expreesion, left_input=6137, right_input=3001, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6137","layer":1},{"info":"number node, value=6686","layer":2},{"info":"number node, value=3163","layer":2},{"info":"compute binary expreesion, left_input=6686, right_input=3163, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6137, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))��((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23615⫲≸⪮≴∭⊉11515)⫗⊷⫓(≴∭⊉25331∖≴∭⊉12136)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉23615⫲≸⪮≴∭⊉11515)⫗⊷⫓(≴∭⊉25331∖≴∭⊉12136)","cot":[{"info":"≴∭⊉23615⫲≸⪮≴∭⊉11515=≴∭⊉23615","layer":1},{"info":"≴∭⊉25331∖≴∭⊉12136=≴∭⊉0","layer":1},{"info":"≴∭⊉23615⫗⊷⫓≴∭⊉0=≴∭⊉-251","layer":0}]}
+{"id":948,"expression_no_base_symbol":"$1503$≝⊿$4591$⩭","expression":"≴∭⊉4245≝⊿≴∭⊉16246⩭","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":220116,"operation_count":2,"complexity_ratio":110058.0,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1503,"base":7},"right_expr":{"type":"numeric_atoms","value":4591,"base":7}}},"used_operators":["yIPP7u6H5x","OKKcZfAt5B"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":2},{"info":"number node, value=4591","layer":2},{"info":"compute binary expreesion, left_input=1503, right_input=4591, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11218","layer":1},{"info":"compute unary expreesion, input=-11218, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4245≝⊿≴∭⊉16246⩭=NaN","reverse_text":"NaN=≴∭⊉4245≝⊿≴∭⊉16246⩭","cot":[{"info":"≴∭⊉4245≝⊿≴∭⊉16246=≴∭⊉-44464","layer":1},{"info":"≴∭⊉-44464⩭=NaN","layer":0}]}
+{"id":949,"expression_no_base_symbol":"(⇈$4545$)≠≀$1177$⪘⫢$3264$","expression":"(⇈≴∭⊉16152)≠≀≴∭⊉3301⪘⫢≴∭⊉12342","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1045,"operation_count":3,"complexity_ratio":348.3333333333333,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":4545,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1177,"base":7},"right_expr":{"type":"numeric_atoms","value":3264,"base":7}}},"used_operators":["IwW236VD4Y","SLLxy00UIr","oacrs7FA3X"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≴∭⊉3333","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4545","layer":2},{"info":"compute unary expreesion, input=4545, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=1177","layer":2},{"info":"number node, value=3264","layer":2},{"info":"compute binary expreesion, left_input=1177, right_input=3264, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2230","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=2230, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=1200","layer":0}],"base":7,"result_base":7,"text":"(⇈≴∭⊉16152)≠≀≴∭⊉3301⪘⫢≴∭⊉12342=≴∭⊉3333","reverse_text":"≴∭⊉3333=(⇈≴∭⊉16152)≠≀≴∭⊉3301⪘⫢≴∭⊉12342","cot":[{"info":"⇈≴∭⊉16152=≴∭⊉-1206","layer":1},{"info":"≴∭⊉3301⪘⫢≴∭⊉12342=≴∭⊉6334","layer":1},{"info":"≴∭⊉-1206≠≀≴∭⊉6334=≴∭⊉3333","layer":0}]}
+{"id":950,"expression_no_base_symbol":"($4748$∪⫐$5673$)⊍","expression":"(≴∭⊉16562∪⫐≴∭⊉22353)⊍","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":4748,"base":7},"right_expr":{"type":"numeric_atoms","value":5673,"base":7}}},"used_operators":["3nqY3DE9mg","7YooWSwCyH"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0"],"result":"≴∭⊉51426","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4748","layer":2},{"info":"number node, value=5673","layer":2},{"info":"compute binary expreesion, left_input=4748, right_input=5673, op_id = 7YooWSwCyH binary_op_definition= 'a∪���b = { ((a⋝⋈⪟b)⨎a) }', output=4748","layer":1},{"info":"compute unary expreesion, input=4748, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=12564","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16562∪⫐≴∭⊉22353)⊍=≴∭⊉51426","reverse_text":"≴∭⊉51426=(≴∭⊉16562∪⫐≴∭⊉22353)⊍","cot":[{"info":"≴∭⊉16562∪⫐≴∭⊉22353=≴∭⊉16562","layer":1},{"info":"≴∭⊉16562⊍=≴∭⊉51426","layer":0}]}
+{"id":951,"expression_no_base_symbol":"($4910$⨿$1120$)⊧↖","expression":"(≴∭⊉20213⨿≴∭⊉3160)⊧↖","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":589,"operation_count":2,"complexity_ratio":294.5,"tree":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4910,"base":7},"right_expr":{"type":"numeric_atoms","value":1120,"base":7}}},"used_operators":["EKiFHuOFxO","abYXlopdE0"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"≴∭⊉5102060","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4910","layer":2},{"info":"number node, value=1120","layer":2},{"info":"compute binary expreesion, left_input=4910, right_input=1120, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=605780","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20213⨿≴∭⊉3160)⊧↖=≴∭⊉5102060","reverse_text":"≴∭⊉5102060=(≴∭⊉20213⨿≴∭⊉3160)⊧↖","cot":[{"info":"≴∭⊉20213⨿≴∭⊉3160=≴∭⊉-634","layer":1},{"info":"≴∭⊉-634⊧↖=≴∭⊉5102060","layer":0}]}
+{"id":952,"expression_no_base_symbol":"(⋣$3252$)⫗⊷⫓(⨛$1743$)","expression":"(⋣≴∭⊉12324)⫗⊷⫓(⨛≴∭⊉5040)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87759,"operation_count":3,"complexity_ratio":29253.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3252,"base":7}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1743,"base":7}}},"used_operators":["zashukvMKz","zQWRhDnn8F","CoMdbyAt7R"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3252","layer":2},{"info":"compute unary expreesion, input=3252, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-955993","layer":1},{"info":"number node, value=1743","layer":2},{"info":"compute unary expreesion, input=1743, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-955993, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(⋣≴∭⊉12324)⫗⊷⫓(⨛≴∭⊉5040)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(⋣≴∭⊉12324)⫗⊷⫓(⨛≴∭⊉5040)","cot":[{"info":"⋣≴∭⊉12324=≴∭⊉-11061103","layer":1},{"info":"⨛≴∭⊉5040=NaN","layer":1},{"info":"≴∭⊉-11061103⫗⊷⫓NaN=≴∭⊉-251","layer":0}]}
+{"id":953,"expression_no_base_symbol":"⪭⩑⪱($3242$≓∲$3667$)","expression":"⪭⩑⪱(≴∭⊉12311≓∲≴∭⊉13456)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1470595,"operation_count":2,"complexity_ratio":735297.5,"tree":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3242,"base":7},"right_expr":{"type":"numeric_atoms","value":3667,"base":7}}},"used_operators":["SIgE0bArFf","s1XTVnmDOJ"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≴∭⊉130503516","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":2},{"info":"number node, value=3667","layer":2},{"info":"compute binary expreesion, left_input=3242, right_input=3667, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=33203","layer":1},{"info":"compute unary expreesion, input=33203, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":7,"result_base":7,"text":"⪭⩑⪱(≴∭⊉12311≓∲≴∭⊉13456)=≴∭⊉130503516","reverse_text":"≴∭⊉130503516=⪭⩑⪱(≴∭⊉12311≓∲≴∭⊉13456)","cot":[{"info":"≴∭⊉12311≓∲≴∭⊉13456=≴∭⊉165542","layer":1},{"info":"⪭⩑⪱≴∭⊉165542=≴∭⊉130503516","layer":0}]}
+{"id":954,"expression_no_base_symbol":"($1789$⪒$2008$)⊴$1209$⋹⋡⊁$4577$","expression":"(≴∭⊉5134⪒≴∭⊉5566)⊴≴∭⊉3345⋹⋡⊁≴∭⊉16226","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72337,"operation_count":3,"complexity_ratio":24112.333333333332,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1789,"base":7},"right_expr":{"type":"numeric_atoms","value":2008,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1209,"base":7},"right_expr":{"type":"numeric_atoms","value":4577,"base":7}}},"used_operators":["Nsiff2A1zJ","f6k1SAg4EE","As8RqfVLgs"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":2},{"info":"number node, value=2008","layer":2},{"info":"compute binary expreesion, left_input=1789, right_input=2008, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3797","layer":1},{"info":"number node, value=1209","layer":2},{"info":"number node, value=4577","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=4577, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5327","layer":1},{"info":"compute binary expreesion, left_input=-3797, right_input=5327, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5134⪒≴∭⊉5566)⊴≴∭⊉3345⋹⋡⊁≴∭⊉16226=NaN","reverse_text":"NaN=(≴∭⊉5134⪒≴∭⊉5566)⊴≴∭⊉3345⋹⋡⊁≴∭⊉16226","cot":[{"info":"≴∭⊉5134⪒≴∭⊉5566=≴∭⊉-14033","layer":1},{"info":"≴∭⊉3345⋹⋡⊁≴∭⊉16226=≴∭⊉21350","layer":1},{"info":"≴∭⊉-14033⊴≴∭⊉21350=NaN","layer":0}]}
+{"id":955,"expression_no_base_symbol":"$6872$⇷$6053$∽$2020$⫰⋱$2213$","expression":"≴∭⊉26015⇷≴∭⊉23435∽≴∭⊉5614⫰⋱≴∭⊉6311","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96232,"operation_count":3,"complexity_ratio":32077.333333333332,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6872,"base":7},"right_expr":{"type":"numeric_atoms","value":6053,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2020,"base":7},"right_expr":{"type":"numeric_atoms","value":2213,"base":7}}},"used_operators":["y4ImoPnbV5","mp7IySMOzn","6o9Blt3TJ6"],"dependent_operators":["NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉-314401","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6872","layer":2},{"info":"number node, value=6053","layer":2},{"info":"compute binary expreesion, left_input=6872, right_input=6053, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12106","layer":1},{"info":"number node, value=2020","layer":2},{"info":"number node, value=2213","layer":2},{"info":"compute binary expreesion, left_input=2020, right_input=2213, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1987","layer":1},{"info":"compute binary expreesion, left_input=12106, right_input=-1987, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-54391","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉26015⇷≴∭⊉23435∽≴∭⊉5614⫰⋱≴∭⊉6311=≴∭⊉-314401","reverse_text":"≴∭⊉-314401=≴∭⊉26015⇷≴∭⊉23435∽≴∭⊉5614⫰⋱≴∭⊉6311","cot":[{"info":"≴∭⊉26015⇷≴∭⊉23435=≴∭⊉50203","layer":1},{"info":"≴∭⊉5614⫰⋱≴∭⊉6311=≴∭⊉-5536","layer":1},{"info":"≴∭⊉50203∽≴∭⊉-5536=≴∭⊉-314401","layer":0}]}
+{"id":956,"expression_no_base_symbol":"($5317$+⪬∐$1979$)≦↸($4444$⪛$1069$)","expression":"(≴∭⊉21334+⪬∐���∭⊉5525)≦↸(≴∭⊉15646⪛≴∭⊉3055)","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":5317,"base":7},"right_expr":{"type":"numeric_atoms","value":1979,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4444,"base":7},"right_expr":{"type":"numeric_atoms","value":1069,"base":7}}},"used_operators":["RygbFNSyEJ","2GS7woTJqF","uFcxV4UQCh"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉163005","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5317","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=5317, right_input=1979, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-15951","layer":1},{"info":"number node, value=4444","layer":2},{"info":"number node, value=1069","layer":2},{"info":"compute binary expreesion, left_input=4444, right_input=1069, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=168","layer":1},{"info":"compute binary expreesion, left_input=-15951, right_input=168, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=32247","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21334+⪬∐≴∭⊉5525)≦↸(≴∭⊉15646⪛≴∭⊉3055)=≴∭⊉163005","reverse_text":"≴∭⊉163005=(≴∭⊉21334+⪬∐≴∭⊉5525)≦↸(≴∭⊉15646⪛≴∭⊉3055)","cot":[{"info":"≴∭⊉21334+⪬∐≴∭⊉5525=≴∭⊉-64335","layer":1},{"info":"≴∭⊉15646⪛≴∭⊉3055=≴∭⊉330","layer":1},{"info":"≴∭⊉-64335≦↸≴∭⊉330=≴∭⊉163005","layer":0}]}
+{"id":957,"expression_no_base_symbol":"(⊁⨺$1042$)⊪","expression":"(⊁⨺≴∭⊉3016)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45,"operation_count":2,"complexity_ratio":22.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}}},"used_operators":["zVYPLywUTj","PxiHyQbrIp"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1042","layer":2},{"info":"compute unary expreesion, input=1042, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⊁⨺≴∭⊉3016)⊪=≴∭⊉0","reverse_text":"≴∭⊉0=(⊁⨺≴∭⊉3016)⊪","cot":[{"info":"⊁⨺≴∭⊉3016=≴∭⊉316","layer":1},{"info":"≴∭⊉316⊪=≴∭⊉0","layer":0}]}
+{"id":958,"expression_no_base_symbol":"↣≠⋷($2127$⨲)","expression":"↣≠⋷(≴∭⊉6126⨲)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":321130,"operation_count":2,"complexity_ratio":160565.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2127,"base":7}}},"used_operators":["Asc51vEJeQ","nLYMGWM7L8"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2127","layer":2},{"info":"compute unary expreesion, input=2127, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=375610573","layer":1},{"info":"compute unary expreesion, input=375610573, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷(≴∭⊉6126⨲)=NaN","reverse_text":"NaN=↣≠⋷(≴∭⊉6126⨲)","cot":[{"info":"≴∭⊉6126⨲=≴∭⊉12210431362","layer":1},{"info":"↣≠⋷≴∭⊉12210431362=NaN","layer":0}]}
+{"id":959,"expression_no_base_symbol":"(⇖⫷⫕$7841$)⇍⊗($5097$↦)","expression":"(⇖⫷⫕≴∭⊉31601)⇍⊗(≴∭⊉20601↦)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":227876,"operation_count":3,"complexity_ratio":75958.66666666667,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":7841,"base":7}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":5097,"base":7}}},"used_operators":["5uvYHDjeKN","UHmRx3INFg","fFznvYxMfW"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7841","layer":2},{"info":"compute unary expreesion, input=7841, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=5097","layer":2},{"info":"compute unary expreesion, input=5097, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕≴∭⊉31601)⇍⊗(≴∭⊉20601↦)=NaN","reverse_text":"NaN=(⇖⫷⫕≴∭⊉31601)⇍⊗(≴∭⊉20601↦)","cot":[{"info":"⇖⫷⫕≴∭⊉31601=≴∭⊉11141","layer":1},{"info":"≴∭⊉20601↦=NaN","layer":1},{"info":"≴∭⊉11141⇍⊗NaN=NaN","layer":0}]}
+{"id":960,"expression_no_base_symbol":"($9057$⫒⫫$1424$)⇤$1865$⋹⋡⊁$1847$","expression":"(≴∭⊉35256⫒⫫≴∭⊉4103)⇤≴∭⊉5303⋹⋡⊁≴∭⊉5246","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62556,"operation_count":3,"complexity_ratio":20852.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":9057,"base":7},"right_expr":{"type":"numeric_atoms","value":1424,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1865,"base":7},"right_expr":{"type":"numeric_atoms","value":1847,"base":7}}},"used_operators":["YSKBFp38Pu","6Ko8hGgeMq","As8RqfVLgs"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9057","layer":2},{"info":"number node, value=1424","layer":2},{"info":"compute binary expreesion, left_input=9057, right_input=1424, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1865","layer":2},{"info":"number node, value=1847","layer":2},{"info":"compute binary expreesion, left_input=1865, right_input=1847, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2597","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2597, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉35256⫒⫫≴∭⊉4103)⇤≴∭⊉5303⋹⋡⊁≴∭⊉5246=NaN","reverse_text":"NaN=(≴∭⊉35256⫒⫫≴∭⊉4103)⇤≴∭⊉5303⋹⋡⊁≴∭⊉5246","cot":[{"info":"≴∭⊉35256⫒⫫≴∭⊉4103=NaN","layer":1},{"info":"≴∭⊉5303⋹⋡⊁≴∭⊉5246=≴∭⊉10400","layer":1},{"info":"NaN⇤≴∭⊉10400=NaN","layer":0}]}
+{"id":961,"expression_no_base_symbol":"$2704$⨓$1465$⩵∡($1858$⫻⋑⊟)","expression":"≴∭⊉10612⨓≴∭⊉4162⩵∡(≴∭⊉5263⫻⋑⊟)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1499,"operation_count":3,"complexity_ratio":499.6666666666667,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2704,"base":7},"right_expr":{"type":"numeric_atoms","value":1465,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1858,"base":7}}},"used_operators":["Y7wcNGrDQJ","3ViojmjbAp","o575Zjdmzy"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"≴∭⊉3066","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2704","layer":2},{"info":"number node, value=1465","layer":2},{"info":"compute binary expreesion, left_input=2704, right_input=1465, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1468","layer":1},{"info":"number node, value=1858","layer":2},{"info":"compute unary expreesion, input=1858, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3206","layer":1},{"info":"compute binary expreesion, left_input=-1468, right_input=-3206, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1077","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉10612⨓≴∭⊉4162⩵∡(≴∭⊉5263⫻⋑⊟)=≴∭⊉3066","reverse_text":"≴∭⊉3066=≴∭⊉10612⨓≴∭⊉4162⩵∡(≴∭⊉5263⫻⋑⊟)","cot":[{"info":"≴∭⊉10612⨓≴∭⊉4162=≴∭⊉-4165","layer":1},{"info":"≴∭⊉5263⫻⋑⊟=≴∭⊉-12230","layer":1},{"info":"≴∭⊉-4165⩵∡≴∭⊉-12230=≴∭⊉3066","layer":0}]}
+{"id":962,"expression_no_base_symbol":"$3732$⪒⊣⊆$3247$≓∲$2819$↓$2558$","expression":"≴∭⊉13611⪒⊣⊆≴∭⊉12316≓∲≴∭⊉11135↓≴∭⊉10313","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36149,"operation_count":3,"complexity_ratio":12049.666666666666,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3732,"base":7},"right_expr":{"type":"numeric_atoms","value":3247,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2819,"base":7},"right_expr":{"type":"numeric_atoms","value":2558,"base":7}}},"used_operators":["s1XTVnmDOJ","eRqsBgTDFp","Af076pWI7l"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","sdazOOVcIp","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-3132125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3732","layer":2},{"info":"number node, value=3247","layer":2},{"info":"compute binary expreesion, left_input=3732, right_input=3247, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7464","layer":1},{"info":"number node, value=2819","layer":2},{"info":"number node, value=2558","layer":2},{"info":"compute binary expreesion, left_input=2819, right_input=2558, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=7464, right_input=-134, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-377711","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13611⪒⊣⊆≴∭⊉12316≓∲≴∭⊉11135↓≴∭⊉10313=≴∭⊉-3132125","reverse_text":"≴∭⊉-3132125=≴∭⊉13611⪒⊣⊆≴∭⊉12316≓∲≴∭⊉11135↓≴∭⊉10313","cot":[{"info":"≴∭⊉13611⪒⊣⊆≴∭⊉12316=≴∭⊉30522","layer":1},{"info":"≴∭⊉11135↓≴∭⊉10313=≴∭⊉-251","layer":1},{"info":"≴∭⊉30522≓∲≴∭⊉-251=≴∭⊉-3132125","layer":0}]}
+{"id":963,"expression_no_base_symbol":"(⊤⊝$5271$)⩍⋽⫝̸$1199$⇤$1365$","expression":"(⊤⊝≴∭⊉21240)⩍⋽⫝̸≴∭⊉3332⇤≴∭⊉3660","highest_n_order":1,"priority_hierarchical_complexity":3,"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":5271,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1199,"base":7},"right_expr":{"type":"numeric_atoms","value":1365,"base":7}}},"used_operators":["BiWNJpBvwn","rXAclfmB4M","YSKBFp38Pu"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","sdazOOVcIp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉105434","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5271","layer":2},{"info":"compute unary expreesion, input=5271, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=9244","layer":1},{"info":"number node, value=1199","layer":2},{"info":"number node, value=1365","layer":2},{"info":"compute binary expreesion, left_input=1199, right_input=1365, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-9972","layer":1},{"info":"compute binary expreesion, left_input=9244, right_input=-9972, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=18743","layer":0}],"base":7,"result_base":7,"text":"(⊤⊝≴∭⊉21240)⩍⋽⫝̸≴∭⊉3332⇤≴∭⊉3660=≴∭⊉105434","reverse_text":"≴∭⊉105434=(⊤⊝≴∭⊉21240)⩍⋽⫝̸≴∭⊉3332⇤≴∭⊉3660","cot":[{"info":"⊤⊝≴∭⊉21240=≴∭⊉35644","layer":1},{"info":"≴∭⊉3332⇤≴∭⊉3660=≴∭⊉-41034","layer":1},{"info":"≴∭⊉35644⩍⋽⫝̸≴∭⊉-41034=≴∭⊉105434","layer":0}]}
+{"id":964,"expression_no_base_symbol":"$8895$∺≝⩲$6527$⨐⩸⫘$2218$⨫⇇↔$7496$","expression":"≴∭⊉34635∺≝⩲≴∭⊉25013⨐⩸⫘≴∭⊉6316⨫⇇↔≴∭⊉30566","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":280914,"operation_count":3,"complexity_ratio":93638.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":8895,"base":7},"right_expr":{"type":"numeric_atoms","value":6527,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2218,"base":7},"right_expr":{"type":"numeric_atoms","value":7496,"base":7}}},"used_operators":["fu6greOZ01","KPf6cnQVty","LXhwmt4mBO"],"dependent_operators":["3ViojmjbAp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"≴∭⊉1355","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8895","layer":2},{"info":"number node, value=6527","layer":2},{"info":"compute binary expreesion, left_input=8895, right_input=6527, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=2218","layer":2},{"info":"number node, value=7496","layer":2},{"info":"compute binary expreesion, left_input=2218, right_input=7496, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-527, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=530","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉34635∺≝⩲≴∭⊉25013⨐⩸⫘≴∭⊉6316⨫⇇↔≴∭⊉30566=≴∭⊉1355","reverse_text":"≴∭⊉1355=≴∭⊉34635∺≝⩲≴∭⊉25013⨐⩸⫘≴∭⊉6316⨫⇇↔≴∭⊉30566","cot":[{"info":"≴∭⊉34635∺≝⩲≴∭⊉25013=≴∭⊉316","layer":1},{"info":"≴∭⊉6316⨫⇇↔≴∭⊉30566=≴∭⊉-1352","layer":1},{"info":"≴∭⊉316⨐⩸⫘≴∭⊉-1352=≴∭⊉1355","layer":0}]}
+{"id":965,"expression_no_base_symbol":"($3414$⪭$1006$)↓(⫡⇟⇯$2142$)","expression":"(≴∭⊉12645⪭≴∭⊉2635)↓(⫡⇟⇯≴∭⊉6150)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72439,"operation_count":3,"complexity_ratio":24146.333333333332,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3414,"base":7},"right_expr":{"type":"numeric_atoms","value":1006,"base":7}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2142,"base":7}}},"used_operators":["Af076pWI7l","j9kHMeSvPp","qWUSsah53b"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","P8v4zCKN1o"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3414","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=3414, right_input=1006, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=2142","layer":2},{"info":"compute unary expreesion, input=2142, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5152","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=5152, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12645⪭≴∭⊉2635)↓(⫡⇟⇯≴∭⊉6150)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉12645⪭≴∭⊉2635)↓(⫡⇟⇯≴∭⊉6150)","cot":[{"info":"≴∭⊉12645⪭≴∭⊉2635=≴∭⊉5","layer":1},{"info":"⫡⇟⇯≴∭⊉6150=≴∭⊉21010","layer":1},{"info":"≴∭⊉5↓≴∭⊉21010=≴∭⊉-251","layer":0}]}
+{"id":966,"expression_no_base_symbol":"⊽(⨈⪑$4657$)","expression":"⊽(⨈⪑≴∭⊉16402)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":89,"operation_count":2,"complexity_ratio":44.5,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":4657,"base":7}}},"used_operators":["QxG7OkqoLX","mp94q5OcYM"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"≴∭⊉12333","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4657","layer":2},{"info":"compute unary expreesion, input=4657, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3258","layer":0}],"base":7,"result_base":7,"text":"⊽(⨈⪑≴∭⊉16402)=≴∭⊉12333","reverse_text":"≴∭⊉12333=⊽(⨈⪑≴∭⊉16402)","cot":[{"info":"⨈⪑≴∭⊉16402=≴∭⊉2350","layer":1},{"info":"⊽≴∭⊉2350=≴∭⊉12333","layer":0}]}
+{"id":967,"expression_no_base_symbol":"($4865$⋭≵$1410$)≳⇉($2607$⋖∅⋲)","expression":"(≴∭⊉20120⋭≵≴∭⊉4053)≳⇉(≴∭⊉10413⋖∅⋲)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":768749,"operation_count":3,"complexity_ratio":256249.66666666666,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4865,"base":7},"right_expr":{"type":"numeric_atoms","value":1410,"base":7}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":2607,"base":7}}},"used_operators":["V0kx6qeWkN","jBncVCNhdl","L95AwlJzhO"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4865","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=4865, right_input=1410, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=2607","layer":2},{"info":"compute unary expreesion, input=2607, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-384231, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20120⋭≵≴∭⊉4053)≳⇉(≴∭⊉10413⋖∅⋲)=NaN","reverse_text":"NaN=(≴∭⊉20120⋭≵≴∭⊉4053)≳⇉(≴∭⊉10413⋖∅⋲)","cot":[{"info":"≴∭⊉20120⋭≵≴∭⊉4053=≴∭⊉124","layer":1},{"info":"≴∭⊉10413⋖∅⋲=≴∭⊉-3160131","layer":1},{"info":"≴∭⊉124≳⇉≴∭⊉-3160131=NaN","layer":0}]}
+{"id":968,"expression_no_base_symbol":"(⨝⨆$2010$)⪥($1705$⪨⊡$1649$)","expression":"(⨝⨆≴∭⊉5601)⪥(≴∭⊉4654⪨⊡≴∭⊉4544)","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":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2010,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1705,"base":7},"right_expr":{"type":"numeric_atoms","value":1649,"base":7}}},"used_operators":["QbnwKVWMIQ","bQ67fsrMVf","kuIXHzHcAH"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","tifHPKVTfV","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉-224","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2010","layer":2},{"info":"compute unary expreesion, input=2010, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1801","layer":1},{"info":"number node, value=1705","layer":2},{"info":"number node, value=1649","layer":2},{"info":"compute binary expreesion, left_input=1705, right_input=1649, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1801, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":7,"result_base":7,"text":"(⨝⨆≴∭⊉5601)⪥(≴∭⊉4654⪨⊡≴∭⊉4544)=≴∭⊉-224","reverse_text":"≴∭⊉-224=(⨝⨆≴∭⊉5601)⪥(≴∭⊉4654⪨⊡≴∭⊉4544)","cot":[{"info":"⨝⨆≴∭⊉5601=≴∭⊉5152","layer":1},{"info":"≴∭⊉4654⪨⊡≴∭⊉4544=≴∭⊉0","layer":1},{"info":"≴∭⊉5152⪥≴∭⊉0=≴∭⊉-224","layer":0}]}
+{"id":969,"expression_no_base_symbol":"($1279$⨽$1995$)⩍⋽⫝̸$1728$↞⋁$1387$","expression":"(≴∭⊉3505⨽≴∭⊉5550)⩍⋽⫝̸≴∭⊉5016↞⋁≴∭⊉4021","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1466,"operation_count":3,"complexity_ratio":488.6666666666667,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":1995,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1728,"base":7},"right_expr":{"type":"numeric_atoms","value":1387,"base":7}}},"used_operators":["BiWNJpBvwn","8HhzD0ZcuI","RqrPlJkxDo"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":2},{"info":"number node, value=1995","layer":2},{"info":"compute binary expreesion, left_input=1279, right_input=1995, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4912194","layer":1},{"info":"number node, value=1728","layer":2},{"info":"number node, value=1387","layer":2},{"info":"compute binary expreesion, left_input=1728, right_input=1387, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4912194, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3505⨽≴∭⊉5550)⩍⋽⫝̸≴∭⊉5016↞⋁≴∭⊉4021=NaN","reverse_text":"NaN=(≴∭⊉3505⨽≴∭⊉5550)⩍⋽⫝̸≴∭⊉5016↞⋁≴∭⊉4021","cot":[{"info":"≴∭⊉3505⨽≴∭⊉5550=≴∭⊉-56516160","layer":1},{"info":"≴∭⊉5016↞⋁≴∭⊉4021=NaN","layer":1},{"info":"≴∭⊉-56516160⩍⋽⫝̸NaN=NaN","layer":0}]}
+{"id":970,"expression_no_base_symbol":"(⪭⩑⪱$4194$)≁($1120$⨎$3717$)","expression":"(⪭⩑⪱≴∭⊉15141)≁(≴∭⊉3160⨎≴∭⊉13560)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":829223,"operation_count":3,"complexity_ratio":276407.6666666667,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":4194,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1120,"base":7},"right_expr":{"type":"numeric_atoms","value":3717,"base":7}}},"used_operators":["8N2wDY1A35","SIgE0bArFf","rJVOvQCfKK"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"≴∭⊉434411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4194","layer":2},{"info":"compute unary expreesion, input=4194, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"number node, value=1120","layer":2},{"info":"number node, value=3717","layer":2},{"info":"compute binary expreesion, left_input=1120, right_input=3717, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3717","layer":1},{"info":"compute binary expreesion, left_input=8320752, right_input=3717, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=76007","layer":0}],"base":7,"result_base":7,"text":"(⪭⩑⪱≴∭⊉15141)≁(≴∭⊉3160⨎≴∭⊉13560)=≴∭⊉434411","reverse_text":"≴∭⊉434411=(⪭⩑⪱≴∭⊉15141)≁(≴∭⊉3160⨎≴∭⊉13560)","cot":[{"info":"⪭⩑⪱≴∭⊉15141=≴∭⊉130503516","layer":1},{"info":"≴∭⊉3160⨎≴∭⊉13560=≴∭⊉13560","layer":1},{"info":"≴∭⊉130503516≁≴∭⊉13560=≴∭⊉434411","layer":0}]}
+{"id":971,"expression_no_base_symbol":"$1058$⪟⇏$1487$⫁⪎$1540$⨔⇊$9456$","expression":"≴∭⊉3041⪟⇏≴∭⊉4223⫁⪎≴∭⊉4330⨔⇊≴∭⊉36366","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1058,"base":7},"right_expr":{"type":"numeric_atoms","value":1487,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1540,"base":7},"right_expr":{"type":"numeric_atoms","value":9456,"base":7}}},"used_operators":["xRrnTEsQ6j","GODebY97qR","JclMnS0uGI"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉-36400","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":2},{"info":"number node, value=1487","layer":2},{"info":"compute binary expreesion, left_input=1058, right_input=1487, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1540","layer":2},{"info":"number node, value=9456","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=9456, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=9456","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=9456, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-9457","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3041⪟⇏≴∭⊉4223⫁⪎≴∭⊉4330⨔⇊≴∭⊉36366=≴∭⊉-36400","reverse_text":"≴∭⊉-36400=≴∭⊉3041⪟⇏≴∭⊉4223⫁⪎≴∭⊉4330⨔⇊≴∭⊉36366","cot":[{"info":"≴∭⊉3041⪟⇏≴∭⊉4223=≴∭⊉-1","layer":1},{"info":"≴∭⊉4330⨔⇊≴∭⊉36366=≴∭⊉36366","layer":1},{"info":"≴∭⊉-1⫁⪎≴∭⊉36366=≴∭⊉-36400","layer":0}]}
+{"id":972,"expression_no_base_symbol":"⩷($1006$↺$2258$)","expression":"⩷(≴∭⊉2635↺≴∭⊉6404)","highest_n_order":1,"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":1006,"base":7},"right_expr":{"type":"numeric_atoms","value":2258,"base":7}}},"used_operators":["1h0rLqGiFr","7j4O788W3g"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-142141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=2258","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=2258, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2258","layer":1},{"info":"compute unary expreesion, input=2258, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-27175","layer":0}],"base":7,"result_base":7,"text":"⩷(≴∭⊉2635↺≴∭⊉6404)=≴∭⊉-142141","reverse_text":"≴∭⊉-142141=⩷(≴∭⊉2635↺≴∭⊉6404)","cot":[{"info":"≴∭⊉2635↺≴∭⊉6404=≴∭⊉6404","layer":1},{"info":"⩷≴∭⊉6404=≴∭⊉-142141","layer":0}]}
+{"id":973,"expression_no_base_symbol":"$8817$⇡⇂$5712$⋓$5240$⇣⩺⋵$6190$","expression":"≴∭⊉34464⇡⇂≴∭⊉22440⋓≴∭⊉21164⇣⩺⋵≴∭⊉24022","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37756,"operation_count":3,"complexity_ratio":12585.333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":8817,"base":7},"right_expr":{"type":"numeric_atoms","value":5712,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5240,"base":7},"right_expr":{"type":"numeric_atoms","value":6190,"base":7}}},"used_operators":["T2fj7uvVaJ","UMwdvZNt44","F4yD0voBRQ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8817","layer":2},{"info":"number node, value=5712","layer":2},{"info":"compute binary expreesion, left_input=8817, right_input=5712, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=5240","layer":2},{"info":"number node, value=6190","layer":2},{"info":"compute binary expreesion, left_input=5240, right_input=6190, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = T2fj7uvVaJ binary_op_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":7,"result_base":7,"text":"≴∭⊉34464⇡⇂≴∭⊉22440⋓≴∭⊉21164⇣⩺⋵≴∭⊉24022=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉34464⇡⇂≴∭⊉22440⋓≴∭⊉21164⇣⩺⋵≴∭⊉24022","cot":[{"info":"≴∭⊉34464⇡⇂≴∭⊉22440=NaN","layer":1},{"info":"≴∭⊉21164⇣⩺⋵≴∭⊉24022=≴∭⊉-521","layer":1},{"info":"NaN⋓≴∭⊉-521=≴∭⊉0","layer":0}]}
+{"id":974,"expression_no_base_symbol":"($7305$⪨≂$3223$)⫌⩉⩟$1313$⊱⇼⊻$1249$","expression":"(≴∭⊉30204⪨≂≴∭⊉12253)⫌⩉⩟≴∭⊉3554⊱⇼⊻≴∭⊉3433","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":193502,"operation_count":3,"complexity_ratio":64500.666666666664,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7305,"base":7},"right_expr":{"type":"numeric_atoms","value":3223,"base":7}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":1249,"base":7}}},"used_operators":["XIIwhv8d0m","sdazOOVcIp","FyVja0WsTP"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7305","layer":2},{"info":"number node, value=3223","layer":2},{"info":"compute binary expreesion, left_input=7305, right_input=3223, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8266","layer":1},{"info":"number node, value=1313","layer":2},{"info":"number node, value=1249","layer":2},{"info":"compute binary expreesion, left_input=1313, right_input=1249, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"compute binary expreesion, left_input=8266, right_input=434, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉30204⪨≂≴∭⊉12253)⫌⩉⩟≴∭⊉3554⊱⇼⊻≴∭⊉3433=≴∭⊉-101","reverse_text":"≴∭⊉-101=(≴∭⊉30204⪨≂≴∭⊉12253)⫌⩉⩟≴∭⊉3554⊱⇼⊻≴∭⊉3433","cot":[{"info":"≴∭⊉30204⪨≂≴∭⊉12253=≴∭⊉33046","layer":1},{"info":"≴∭⊉3554⊱⇼⊻≴∭⊉3433=≴∭⊉1160","layer":1},{"info":"≴∭⊉33046⫌⩉⩟≴∭⊉1160=≴∭⊉-101","layer":0}]}
+{"id":975,"expression_no_base_symbol":"(↥$4545$)⋹⋡⊁($1071$⪕$7617$)","expression":"(↥≴∭⊉16152)⋹⋡⊁(≴∭⊉3060⪕≴∭⊉31131)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":120,"operation_count":3,"complexity_ratio":40.0,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4545,"base":7}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1071,"base":7},"right_expr":{"type":"numeric_atoms","value":7617,"base":7}}},"used_operators":["As8RqfVLgs","A8NUZmVepG","umQnsF7QlU"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k8jYdgA6NY","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉-1021","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4545","layer":2},{"info":"compute unary expreesion, input=4545, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":1},{"info":"number node, value=1071","layer":2},{"info":"number node, value=7617","layer":2},{"info":"compute binary expreesion, left_input=1071, right_input=7617, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=-55, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-358","layer":0}],"base":7,"result_base":7,"text":"(↥≴∭⊉16152)⋹⋡⊁(≴∭⊉3060⪕≴∭⊉31131)=≴∭⊉-1021","reverse_text":"≴∭⊉-1021=(↥≴∭⊉16152)⋹⋡⊁(≴∭⊉3060⪕≴∭⊉31131)","cot":[{"info":"↥≴∭⊉16152=≴∭⊉6","layer":1},{"info":"≴∭⊉3060⪕≴∭⊉31131=≴∭⊉-106","layer":1},{"info":"≴∭⊉6⋹⋡⊁≴∭⊉-106=≴∭⊉-1021","layer":0}]}
+{"id":976,"expression_no_base_symbol":"↣≠⋷(⪫⨮⊛$1775$)","expression":"↣≠⋷(⪫⨮⊛≴∭⊉5114)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1064639,"operation_count":2,"complexity_ratio":532319.5,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1775,"base":7}}},"used_operators":["Asc51vEJeQ","w5FWba1tyO"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1775","layer":2},{"info":"compute unary expreesion, input=1775, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷(⪫⨮⊛≴∭⊉5114)=NaN","reverse_text":"NaN=↣≠⋷(⪫⨮⊛≴∭⊉5114)","cot":[{"info":"⪫⨮⊛≴∭⊉5114=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
+{"id":977,"expression_no_base_symbol":"$1383$⨚⇆$1092$≧⫂∧$4163$≌$4230$","expression":"≴∭⊉4014⨚⇆≴∭⊉3120≧⫂∧≴∭⊉15065≌≴∭⊉15222","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14074,"operation_count":3,"complexity_ratio":4691.333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1383,"base":7},"right_expr":{"type":"numeric_atoms","value":1092,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4163,"base":7},"right_expr":{"type":"numeric_atoms","value":4230,"base":7}}},"used_operators":["Ph9nP6C5qx","lwHaAYXP2r","lyWz822IDG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1383","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=1383, right_input=1092, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=4163","layer":2},{"info":"number node, value=4230","layer":2},{"info":"compute binary expreesion, left_input=4163, right_input=4230, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4014⨚⇆≴∭⊉3120≧⫂∧≴∭⊉15065≌≴∭⊉15222=NaN","reverse_text":"NaN=≴∭⊉4014⨚⇆≴∭⊉3120≧⫂∧≴∭⊉15065≌≴∭⊉15222","cot":[{"info":"≴∭⊉4014⨚⇆≴∭⊉3120=NaN","layer":1},{"info":"≴∭⊉15065≌≴∭⊉15222=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
+{"id":978,"expression_no_base_symbol":"($2349$∛$1046$)⨂≜(↸⊣$1150$)","expression":"(≴∭⊉6564∛≴∭⊉3023)⨂≜(↸⊣≴∭⊉3232)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":744951,"operation_count":3,"complexity_ratio":248317.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2349,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1150,"base":7}}},"used_operators":["k1SHOSEABc","w2537kitQq","wztAlM01eG"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2349","layer":2},{"info":"number node, value=1046","layer":2},{"info":"compute binary expreesion, left_input=2349, right_input=1046, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"number node, value=1150","layer":2},{"info":"compute unary expreesion, input=1150, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-863","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-863, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6564∛≴∭⊉3023)⨂≜(↸⊣≴∭⊉3232)=NaN","reverse_text":"NaN=(≴∭⊉6564∛≴∭⊉3023)⨂≜(↸⊣≴∭⊉3232)","cot":[{"info":"≴∭⊉6564∛≴∭⊉3023=≴∭⊉124","layer":1},{"info":"↸⊣≴∭⊉3232=≴∭⊉-2342","layer":1},{"info":"≴∭⊉124⨂≜≴∭⊉-2342=NaN","layer":0}]}
+{"id":979,"expression_no_base_symbol":"⊤⊝$4927$⩦$4179$","expression":"⊤⊝≴∭⊉20236⩦≴∭⊉15120","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4927,"base":7},"right_expr":{"type":"numeric_atoms","value":4179,"base":7}}},"used_operators":["rXAclfmB4M","0kmYd0q39Y"],"dependent_operators":["sdazOOVcIp","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉104450","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4927","layer":2},{"info":"number node, value=4179","layer":2},{"info":"compute binary expreesion, left_input=4927, right_input=4179, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=9854","layer":1},{"info":"compute unary expreesion, input=9854, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=18410","layer":0}],"base":7,"result_base":7,"text":"⊤⊝≴∭⊉20236⩦≴∭⊉15120=≴∭⊉104450","reverse_text":"≴∭⊉104450=⊤⊝≴∭⊉20236⩦≴∭⊉15120","cot":[{"info":"≴∭⊉20236⩦≴∭⊉15120=≴∭⊉40505","layer":1},{"info":"⊤⊝≴∭⊉40505=≴∭⊉104450","layer":0}]}
+{"id":980,"expression_no_base_symbol":"$5752$∇⊂⋱$4750$⩵∡($1022$⫌⩉⩟$1004$)","expression":"≴∭⊉22525∇⊂⋱≴∭⊉16564⩵∡(≴∭⊉2660⫌⩉⩟≴∭⊉2633)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4819,"operation_count":3,"complexity_ratio":1606.3333333333333,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5752,"base":7},"right_expr":{"type":"numeric_atoms","value":4750,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1022,"base":7},"right_expr":{"type":"numeric_atoms","value":1004,"base":7}}},"used_operators":["Y7wcNGrDQJ","nhYeJWJD5X","XIIwhv8d0m"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≴∭⊉-121252","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5752","layer":2},{"info":"number node, value=4750","layer":2},{"info":"compute binary expreesion, left_input=5752, right_input=4750, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10958","layer":1},{"info":"number node, value=1022","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=1004, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=10958, right_input=-50, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-22087","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉22525∇⊂⋱≴∭⊉16564⩵∡(≴∭⊉2660⫌⩉⩟≴∭⊉2633)=≴∭⊉-121252","reverse_text":"≴∭⊉-121252=≴∭⊉22525∇⊂⋱≴∭⊉16564⩵∡(≴∭⊉2660⫌⩉⩟≴∭⊉2633)","cot":[{"info":"≴∭⊉22525∇⊂⋱≴∭⊉16564=≴∭⊉43643","layer":1},{"info":"≴∭⊉2660⫌⩉⩟≴∭⊉2633=≴∭⊉-101","layer":1},{"info":"≴∭⊉43643⩵∡≴∭⊉-101=≴∭⊉-121252","layer":0}]}
+{"id":981,"expression_no_base_symbol":"($1581$∕⩚$5889$)⇻⋧≁(⇺⋃$1083$)","expression":"(≴∭⊉4416∕⩚≴∭⊉23112)⇻⋧≁(⇺⋃≴∭⊉3105)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":972047,"operation_count":3,"complexity_ratio":324015.6666666667,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1581,"base":7},"right_expr":{"type":"numeric_atoms","value":5889,"base":7}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1083,"base":7}}},"used_operators":["jCPkEVoL5K","z9ffQ9n5Zr","E5v5B3UAjG"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"≴∭⊉-102260","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":2},{"info":"number node, value=5889","layer":2},{"info":"compute binary expreesion, left_input=1581, right_input=5889, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1584","layer":1},{"info":"number node, value=1083","layer":2},{"info":"compute unary expreesion, input=1083, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4729","layer":1},{"info":"compute binary expreesion, left_input=-1584, right_input=4729, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-17633","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4416∕⩚≴∭⊉23112)⇻⋧≁(⇺⋃≴∭⊉3105)=≴∭⊉-102260","reverse_text":"≴∭⊉-102260=(≴∭⊉4416∕⩚≴∭⊉23112)⇻⋧≁(⇺⋃≴∭⊉3105)","cot":[{"info":"≴∭⊉4416∕⩚≴∭⊉23112=≴∭⊉-4422","layer":1},{"info":"⇺⋃≴∭⊉3105=≴∭⊉16534","layer":1},{"info":"≴∭⊉-4422⇻⋧≁≴∭⊉16534=≴∭⊉-102260","layer":0}]}
+{"id":982,"expression_no_base_symbol":"($1542$↙$2692$)⫲≸⪮$2296$⇂≾⫗$2932$","expression":"(≴∭⊉4332↙≴∭⊉10564)⫲≸⪮≴∭⊉6460⇂≾⫗≴∭⊉11356","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10829,"operation_count":3,"complexity_ratio":3609.6666666666665,"tree":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1542,"base":7},"right_expr":{"type":"numeric_atoms","value":2692,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2296,"base":7},"right_expr":{"type":"numeric_atoms","value":2932,"base":7}}},"used_operators":["P3lXMJvFrc","yyfyN0ffXY","aBQ6xLxuTc"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","tmPS8pqC7x","DpFCA1CohY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≴∭⊉-32355","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1542","layer":2},{"info":"number node, value=2692","layer":2},{"info":"compute binary expreesion, left_input=1542, right_input=2692, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8076","layer":1},{"info":"number node, value=2296","layer":2},{"info":"number node, value=2932","layer":2},{"info":"compute binary expreesion, left_input=2296, right_input=2932, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-8076, right_input=-676, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-8076","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4332↙≴∭⊉10564)⫲≸⪮≴∭⊉6460⇂≾⫗≴∭⊉11356=≴∭⊉-32355","reverse_text":"≴∭⊉-32355=(≴∭⊉4332↙≴∭⊉10564)⫲≸⪮≴∭⊉6460⇂≾⫗≴∭⊉11356","cot":[{"info":"≴∭⊉4332↙≴∭⊉10564=≴∭⊉-32355","layer":1},{"info":"≴∭⊉6460⇂≾⫗≴∭⊉11356=≴∭⊉-1654","layer":1},{"info":"≴∭⊉-32355⫲≸⪮≴∭⊉-1654=≴∭⊉-32355","layer":0}]}
+{"id":983,"expression_no_base_symbol":"↥≼⋛($2280$⩹$2027$)","expression":"↥≼⋛(≴∭⊉6435⩹≴∭⊉5624)","highest_n_order":1,"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":2280,"base":7},"right_expr":{"type":"numeric_atoms","value":2027,"base":7}}},"used_operators":["x5lMkHmzsq","2Wsdkap16l"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉-221","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2280","layer":2},{"info":"number node, value=2027","layer":2},{"info":"compute binary expreesion, left_input=2280, right_input=2027, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2025","layer":1},{"info":"compute unary expreesion, input=2025, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":7,"result_base":7,"text":"↥≼⋛(≴∭⊉6435⩹≴∭⊉5624)=≴∭⊉-221","reverse_text":"≴∭⊉-221=↥≼⋛(≴∭⊉6435⩹≴∭⊉5624)","cot":[{"info":"≴∭⊉6435⩹≴∭⊉5624=≴∭⊉5622","layer":1},{"info":"↥≼⋛≴∭⊉5622=≴∭⊉-221","layer":0}]}
+{"id":984,"expression_no_base_symbol":"($2019$⪭≯$1063$)+⪬∐($7473$⪭$1609$)","expression":"(≴∭⊉5613⪭≯≴∭⊉3046)+⪬∐(≴∭⊉30534⪭≴∭⊉4456)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":192,"operation_count":3,"complexity_ratio":64.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2019,"base":7},"right_expr":{"type":"numeric_atoms","value":1063,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":7473,"base":7},"right_expr":{"type":"numeric_atoms","value":1609,"base":7}}},"used_operators":["2GS7woTJqF","XAx5wpdLa6","j9kHMeSvPp"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2019","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2019, right_input=1063, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=7473","layer":2},{"info":"number node, value=1609","layer":2},{"info":"compute binary expreesion, left_input=7473, right_input=1609, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5613⪭≯≴∭⊉3046)+⪬∐(≴∭⊉30534⪭≴∭⊉4456)=NaN","reverse_text":"NaN=(≴∭⊉5613⪭≯≴∭⊉3046)+⪬∐(≴∭⊉30534⪭≴∭⊉4456)","cot":[{"info":"≴∭⊉5613⪭≯≴∭⊉3046=NaN","layer":1},{"info":"≴∭⊉30534⪭≴∭⊉4456=≴∭⊉5","layer":1},{"info":"NaN+⪬∐≴∭⊉5=NaN","layer":0}]}
+{"id":985,"expression_no_base_symbol":"($7566$≬⋮$3527$)⇡⇂($1206$⨐⩸⫘$1153$)","expression":"(≴∭⊉31026≬⋮≴∭⊉13166)⇡⇂(≴∭⊉3342⨐⩸⫘≴∭⊉3235)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":759049,"operation_count":3,"complexity_ratio":253016.33333333334,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7566,"base":7},"right_expr":{"type":"numeric_atoms","value":3527,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1206,"base":7},"right_expr":{"type":"numeric_atoms","value":1153,"base":7}}},"used_operators":["UMwdvZNt44","kbkesczE7y","fu6greOZ01"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3ViojmjbAp"],"result":"≴∭⊉-2353","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7566","layer":2},{"info":"number node, value=3527","layer":2},{"info":"compute binary expreesion, left_input=7566, right_input=3527, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1206","layer":2},{"info":"number node, value=1153","layer":2},{"info":"compute binary expreesion, left_input=1206, right_input=1153, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=868, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-871","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31026≬⋮≴∭⊉13166)⇡⇂(≴∭⊉3342⨐⩸⫘≴∭⊉3235)=≴∭⊉-2353","reverse_text":"≴∭⊉-2353=(≴∭⊉31026≬⋮≴∭⊉13166)⇡⇂(≴∭⊉3342⨐⩸⫘≴∭⊉3235)","cot":[{"info":"≴∭⊉31026≬⋮≴∭⊉13166=≴∭⊉2350","layer":1},{"info":"≴∭��3342⨐⩸⫘≴∭⊉3235=NaN","layer":1},{"info":"≴∭⊉2350⇡⇂NaN=≴∭⊉-2353","layer":0}]}
+{"id":986,"expression_no_base_symbol":"$1256$∥⊢⊲$3001$≬⇓($2965$-$3447$)","expression":"≴∭⊉3443∥⊢⊲≴∭⊉11515≬⇓(≴∭⊉11434-≴∭⊉13023)","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":1256,"base":7},"right_expr":{"type":"numeric_atoms","value":3001,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2965,"base":7},"right_expr":{"type":"numeric_atoms","value":3447,"base":7}}},"used_operators":["jWTQ2TZYIH","v1UQAVDJRr","rysDP5nf3Z"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","EBcxylXtPf","rGHVDoGpnC"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1256","layer":2},{"info":"number node, value=3001","layer":2},{"info":"compute binary expreesion, left_input=1256, right_input=3001, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=2965","layer":2},{"info":"number node, value=3447","layer":2},{"info":"compute binary expreesion, left_input=2965, right_input=3447, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-482","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-482, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3443∥⊢⊲≴∭⊉11515≬⇓(≴∭⊉11434-≴∭⊉13023)=≴∭⊉-31","reverse_text":"≴∭⊉-31=≴∭⊉3443∥⊢⊲≴∭⊉11515≬⇓(≴∭⊉11434-≴∭⊉13023)","cot":[{"info":"≴∭⊉3443∥⊢⊲≴∭⊉11515=NaN","layer":1},{"info":"≴∭⊉11434-≴∭⊉13023=≴∭⊉-1256","layer":1},{"info":"NaN≬⇓≴∭⊉-1256=≴∭⊉-31","layer":0}]}
+{"id":987,"expression_no_base_symbol":"⇋⊎⋝(⋎⨆$4677$)","expression":"⇋⊎⋝(⋎⨆≴∭⊉16431)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4677,"base":7}}},"used_operators":["CzM2PEoXns","E64sFOc4tB"],"dependent_operators":["dWAJyo7jo9","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4677","layer":2},{"info":"compute unary expreesion, input=4677, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝(⋎⨆≴∭⊉16431)=≴∭⊉0","reverse_text":"≴∭⊉0=⇋⊎⋝(⋎⨆≴∭⊉16431)","cot":[{"info":"⋎⨆≴∭⊉16431=≴∭⊉0","layer":1},{"info":"⇋⊎⋝≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":988,"expression_no_base_symbol":"($2929$∠⫱$1627$)↤⩊($4553$≠≀$1100$)","expression":"(≴∭⊉11353∠⫱≴∭⊉4513)↤⩊(≴∭⊉16163≠≀≴∭⊉3131)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2929,"base":7},"right_expr":{"type":"numeric_atoms","value":1627,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4553,"base":7},"right_expr":{"type":"numeric_atoms","value":1100,"base":7}}},"used_operators":["13rbtpv6ld","QvoQhV0rrE","IwW236VD4Y"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2929","layer":2},{"info":"number node, value=1627","layer":2},{"info":"compute binary expreesion, left_input=2929, right_input=1627, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"number node, value=4553","layer":2},{"info":"number node, value=1100","layer":2},{"info":"compute binary expreesion, left_input=4553, right_input=1100, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝��⪟356)) , else }', output=-8800","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-8800, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11353∠⫱≴∭⊉4513)↤⩊(≴∭⊉16163≠≀≴∭⊉3131)=NaN","reverse_text":"NaN=(≴∭⊉11353∠⫱≴∭⊉4513)↤⩊(≴∭⊉16163≠≀≴∭⊉3131)","cot":[{"info":"≴∭⊉11353∠⫱≴∭⊉4513=≴∭⊉3412","layer":1},{"info":"≴∭⊉16163≠≀≴∭⊉3131=≴∭⊉-34441","layer":1},{"info":"≴∭⊉3412↤⩊≴∭⊉-34441=NaN","layer":0}]}
+{"id":989,"expression_no_base_symbol":"($1719$≬⇓$1026$)↓(⇤←$8036$)","expression":"(≴∭⊉5004≬⇓≴∭⊉2664)↓(⇤←≴∭⊉32300)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":543733,"operation_count":3,"complexity_ratio":181244.33333333334,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1719,"base":7},"right_expr":{"type":"numeric_atoms","value":1026,"base":7}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":8036,"base":7}}},"used_operators":["Af076pWI7l","jWTQ2TZYIH","jfAgQ2OQeM"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":2},{"info":"number node, value=1026","layer":2},{"info":"compute binary expreesion, left_input=1719, right_input=1026, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=8036","layer":2},{"info":"compute unary expreesion, input=8036, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-38814","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-38814, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5004≬⇓≴∭⊉2664)↓(⇤←≴∭⊉32300)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉5004≬⇓≴∭⊉2664)↓(⇤←≴∭⊉32300)","cot":[{"info":"≴∭⊉5004≬⇓≴∭⊉2664=≴∭⊉-31","layer":1},{"info":"⇤←≴∭⊉32300=≴∭⊉-221106","layer":1},{"info":"≴∭⊉-31↓≴∭⊉-221106=≴∭⊉-251","layer":0}]}
+{"id":990,"expression_no_base_symbol":"⊗($1226$⋭≵$5266$)","expression":"⊗(≴∭⊉3401⋭≵≴∭⊉21232)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":75,"operation_count":2,"complexity_ratio":37.5,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1226,"base":7},"right_expr":{"type":"numeric_atoms","value":5266,"base":7}}},"used_operators":["RhiyfpczSx","jBncVCNhdl"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉625","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1226","layer":2},{"info":"number node, value=5266","layer":2},{"info":"compute binary expreesion, left_input=1226, right_input=5266, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=313","layer":0}],"base":7,"result_base":7,"text":"⊗(≴∭⊉3401⋭≵≴∭⊉21232)=≴∭⊉625","reverse_text":"≴∭⊉625=⊗(≴∭⊉3401⋭≵≴∭⊉21232)","cot":[{"info":"≴∭⊉3401⋭≵≴∭⊉21232=≴∭⊉124","layer":1},{"info":"⊗≴∭⊉124=≴∭⊉625","layer":0}]}
+{"id":991,"expression_no_base_symbol":"($7643$⫚⫇)⊢($6676$⪄$4418$)","expression":"(≴∭⊉31166⫚⫇)⊢(≴∭⊉25315⪄≴∭⊉15611)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":128,"operation_count":3,"complexity_ratio":42.666666666666664,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":7643,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6676,"base":7},"right_expr":{"type":"numeric_atoms","value":4418,"base":7}}},"used_operators":["5twsqlHp2o","SdCjLnB6rR","SUmda5xLS4"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-144166","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7643","layer":2},{"info":"compute unary expreesion, input=7643, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=13818","layer":1},{"info":"number node, value=6676","layer":2},{"info":"number node, value=4418","layer":2},{"info":"compute binary expreesion, left_input=6676, right_input=4418, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1001809","layer":1},{"info":"compute binary expreesion, left_input=13818, right_input=-1001809, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-27880","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31166⫚⫇)⊢(≴∭⊉25315⪄≴∭⊉15611)=≴∭⊉-144166","reverse_text":"≴∭⊉-144166=(≴∭⊉31166⫚⫇)⊢(≴∭⊉25315⪄≴∭⊉15611)","cot":[{"info":"≴∭⊉31166⫚⫇=≴∭⊉55200","layer":1},{"info":"≴∭⊉25315⪄≴∭⊉15611=≴∭⊉-11341504","layer":1},{"info":"≴∭⊉55200⊢≴∭⊉-11341504=≴∭⊉-144166","layer":0}]}
+{"id":992,"expression_no_base_symbol":"↽≂(∤$1199$)","expression":"↽≂(∤≴∭⊉3332)","highest_n_order":1,"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":1199,"base":7}}},"used_operators":["u6S6b8DprG","k2HlF1dBQh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"≴∭⊉-24","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"compute unary expreesion, input=1199, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-18","layer":0}],"base":7,"result_base":7,"text":"↽≂(∤≴∭⊉3332)=≴∭⊉-24","reverse_text":"≴∭⊉-24=↽≂(∤≴∭⊉3332)","cot":[{"info":"∤≴∭⊉3332=≴∭⊉12","layer":1},{"info":"↽≂≴∭⊉12=≴∭⊉-24","layer":0}]}
+{"id":993,"expression_no_base_symbol":"($1059$⊕∕$5099$)⫗⊷⫓(⇈$2824$)","expression":"(≴∭⊉3042⊕∕≴∭⊉20603)⫗⊷⫓(⇈≴∭⊉11143)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":349063,"operation_count":3,"complexity_ratio":116354.33333333333,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1059,"base":7},"right_expr":{"type":"numeric_atoms","value":5099,"base":7}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2824,"base":7}}},"used_operators":["zashukvMKz","9cloC0Ngie","SLLxy00UIr"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1059","layer":2},{"info":"number node, value=5099","layer":2},{"info":"compute binary expreesion, left_input=1059, right_input=5099, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1059","layer":1},{"info":"number node, value=2824","layer":2},{"info":"compute unary expreesion, input=2824, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=1059, right_input=-447, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3042⊕∕≴∭⊉20603)⫗⊷⫓(⇈≴∭⊉11143)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉3042⊕∕≴∭⊉20603)⫗⊷⫓(⇈≴∭⊉11143)","cot":[{"info":"≴∭⊉3042⊕∕≴∭⊉20603=≴∭⊉3042","layer":1},{"info":"⇈≴∭⊉11143=≴∭⊉-1206","layer":1},{"info":"≴∭⊉3042⫗⊷⫓≴∭⊉-1206=≴∭⊉-251","layer":0}]}
+{"id":994,"expression_no_base_symbol":"↽≂($2467$⊵↤)","expression":"↽≂(≴∭⊉10123⊵↤)","highest_n_order":1,"priority_hierarchical_complexity":2,"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":2467,"base":7}}},"used_operators":["u6S6b8DprG","7IPrd9c3lf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":2},{"info":"compute unary expreesion, input=2467, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"↽≂(≴∭⊉10123⊵↤)=≴∭⊉-251","reverse_text":"≴∭⊉-251=↽≂(≴∭⊉10123⊵↤)","cot":[{"info":"≴∭⊉10123⊵↤=≴∭⊉124","layer":1},{"info":"↽≂≴∭⊉124=≴∭⊉-251","layer":0}]}
+{"id":995,"expression_no_base_symbol":"($2191$⨻⩈⩔$4839$)⫗⊷⫓(⋗⩴⪓$1429$)","expression":"(≴∭⊉6250⨻⩈⩔≴∭⊉20052)⫗⊷⫓(⋗⩴⪓≴∭⊉4111)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":403241,"operation_count":3,"complexity_ratio":134413.66666666666,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2191,"base":7},"right_expr":{"type":"numeric_atoms","value":4839,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1429,"base":7}}},"used_operators":["zashukvMKz","nEsXyWgiOK","nOKPl9n5zu"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2191","layer":2},{"info":"number node, value=4839","layer":2},{"info":"compute binary expreesion, left_input=2191, right_input=4839, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9127","layer":1},{"info":"number node, value=1429","layer":2},{"info":"compute unary expreesion, input=1429, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-516","layer":1},{"info":"compute binary expreesion, left_input=9127, right_input=-516, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6250⨻⩈⩔≴∭⊉20052)⫗⊷⫓(⋗⩴⪓≴∭⊉4111)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉6250⨻⩈⩔≴∭⊉20052)⫗⊷⫓(⋗⩴⪓≴∭⊉4111)","cot":[{"info":"≴∭⊉6250⨻⩈⩔≴∭⊉20052=≴∭⊉35416","layer":1},{"info":"⋗⩴⪓≴∭⊉4111=≴∭⊉-1335","layer":1},{"info":"≴∭⊉35416⫗⊷⫓≴∭⊉-1335=≴∭⊉-251","layer":0}]}
+{"id":996,"expression_no_base_symbol":"($1065$⇉⇱⇎)⨴∎","expression":"(≴∭⊉3051⇉⇱⇎)⨴∎","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":723477,"operation_count":2,"complexity_ratio":361738.5,"tree":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1065,"base":7}}},"used_operators":["CpSg5vQTgA","MRPaB8lBjK"],"dependent_operators":["Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"≴∭⊉2323","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"compute unary expreesion, input=1065, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-847","layer":1},{"info":"compute unary expreesion, input=-847, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=850","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3051⇉⇱⇎)⨴∎=≴∭⊉2323","reverse_text":"≴∭⊉2323=(≴∭���3051⇉⇱⇎)⨴∎","cot":[{"info":"≴∭⊉3051⇉⇱⇎=≴∭⊉-2320","layer":1},{"info":"≴∭⊉-2320⨴∎=≴∭⊉2323","layer":0}]}
+{"id":997,"expression_no_base_symbol":"($1839$⫒⫫$5271$)⪥($1796$⨵⪆$4556$)","expression":"(≴∭⊉5235⫒⫫≴∭⊉21240)⪥(≴∭⊉5144⨵⪆≴∭⊉16166)","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":1839,"base":7},"right_expr":{"type":"numeric_atoms","value":5271,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1796,"base":7},"right_expr":{"type":"numeric_atoms","value":4556,"base":7}}},"used_operators":["QbnwKVWMIQ","6Ko8hGgeMq","2DQ55sFlQl"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-442","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1839","layer":2},{"info":"number node, value=5271","layer":2},{"info":"compute binary expreesion, left_input=1839, right_input=5271, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1796","layer":2},{"info":"number node, value=4556","layer":2},{"info":"compute binary expreesion, left_input=1796, right_input=4556, 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 = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-226","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5235⫒⫫≴∭⊉21240)⪥(≴∭⊉5144⨵⪆≴∭⊉16166)=≴∭⊉-442","reverse_text":"≴∭⊉-442=(≴∭⊉5235⫒⫫≴∭⊉21240)⪥(≴∭⊉5144⨵⪆≴∭⊉16166)","cot":[{"info":"≴∭⊉5235⫒⫫≴∭⊉21240=NaN","layer":1},{"info":"≴∭⊉5144⨵⪆≴∭⊉16166=≴∭⊉316","layer":1},{"info":"NaN⪥≴∭⊉316=≴∭⊉-442","layer":0}]}
+{"id":998,"expression_no_base_symbol":"(∐⩳⋚$1446$)⫗⊷⫓($1290$⫦⪉$1167$)","expression":"(∐⩳⋚≴∭⊉4134)⫗⊷⫓(≴∭⊉3522⫦⪉≴∭⊉3255)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1802145,"operation_count":3,"complexity_ratio":600715.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1446,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1290,"base":7},"right_expr":{"type":"numeric_atoms","value":1167,"base":7}}},"used_operators":["zashukvMKz","SL6IHkK8vl","wscyQdcy20"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":2},{"info":"compute unary expreesion, input=1446, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=199963","layer":1},{"info":"number node, value=1290","layer":2},{"info":"number node, value=1167","layer":2},{"info":"compute binary expreesion, left_input=1290, right_input=1167, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2320","layer":1},{"info":"compute binary expreesion, left_input=199963, right_input=2320, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚≴∭⊉4134)⫗⊷⫓(≴∭⊉3522⫦⪉≴∭⊉3255)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(∐⩳⋚≴∭⊉4134)⫗⊷⫓(≴∭⊉3522⫦⪉≴∭⊉3255)","cot":[{"info":"∐⩳⋚≴∭⊉4134=≴∭⊉1461661","layer":1},{"info":"≴∭⊉3522⫦⪉≴∭⊉3255=≴∭⊉6523","layer":1},{"info":"≴∭⊉1461661⫗⊷⫓≴∭⊉6523=≴∭⊉-251","layer":0}]}
+{"id":999,"expression_no_base_symbol":"($2479$⩹$2393$)⊅","expression":"(≴∭⊉10141⩹≴∭⊉6656)⊅","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":137,"operation_count":2,"complexity_ratio":68.5,"tree":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2479,"base":7},"right_expr":{"type":"numeric_atoms","value":2393,"base":7}}},"used_operators":["7p6YLioM7f","2Wsdkap16l"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2479","layer":2},{"info":"number node, value=2393","layer":2},{"info":"compute binary expreesion, left_input=2479, right_input=2393, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2391","layer":1},{"info":"compute unary expreesion, input=2391, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10141⩹≴∭⊉6656)⊅=≴∭⊉-336","reverse_text":"≴∭⊉-336=(≴∭⊉10141⩹≴∭⊉6656)⊅","cot":[{"info":"≴∭⊉10141⩹≴∭⊉6656=≴∭⊉6654","layer":1},{"info":"≴∭⊉6654⊅=≴∭⊉-336","layer":0}]}
+{"id":1000,"expression_no_base_symbol":"(⇨$4608$)⊴⇁⪶","expression":"(⇨≴∭⊉16302)⊴⇁⪶","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":145,"operation_count":2,"complexity_ratio":72.5,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4608,"base":7}}},"used_operators":["oo9mF6JIpo","G9tJMlZ94a"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","k8jYdgA6NY"],"result":"≴∭⊉-31246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4608","layer":2},{"info":"compute unary expreesion, input=4608, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=-7678","layer":0}],"base":7,"result_base":7,"text":"(⇨≴∭⊉16302)⊴⇁⪶=≴∭⊉-31246","reverse_text":"≴∭⊉-31246=(⇨≴∭⊉16302)⊴⇁⪶","cot":[{"info":"⇨≴∭⊉16302=≴∭⊉0","layer":1},{"info":"≴∭⊉0⊴⇁⪶=≴∭⊉-31246","layer":0}]}